id	sid	tid	token	lemma	pos
bibechana-24341	1	1	devendra	devendra	PROPN
bibechana-24341	1	2	sir	sir	PROPN
bibechana-24341	1	3	cover	cover	VERB
bibechana-24341	1	4	page	page	NOUN
bibechana-24341	1	5	copy.jpg	copy.jpg	X
bibechana-24341	1	6	bibechana	bibechana	NOUN
bibechana-24341	1	7	17	17	NUM
bibechana-24341	1	8	(	(	PUNCT
bibechana-24341	1	9	2020	2020	NUM
bibechana-24341	1	10	)	)	PUNCT
bibechana-24341	1	11	110	110	NUM
bibechana-24341	1	12	-	-	SYM
bibechana-24341	1	13	116	116	NUM
bibechana-24341	1	14	110	110	NUM
bibechana-24341	1	15	bibechana	bibechana	NOUN
bibechana-24341	1	16	issn	issn	VERB
bibechana-24341	1	17	2091	2091	NUM
bibechana-24341	1	18	-	-	SYM
bibechana-24341	1	19	0762	0762	NUM
bibechana-24341	1	20	(	(	PUNCT
bibechana-24341	1	21	print	print	NOUN
bibechana-24341	1	22	)	)	PUNCT
bibechana-24341	1	23	,	,	PUNCT
bibechana-24341	1	24	2382	2382	NUM
bibechana-24341	1	25	-	-	SYM
bibechana-24341	1	26	5340	5340	NUM
bibechana-24341	1	27	(	(	PUNCT
bibechana-24341	1	28	online	online	ADJ
bibechana-24341	1	29	)	)	PUNCT
bibechana-24341	1	30	journal	journal	NOUN
bibechana-24341	1	31	homepage	homepage	NOUN
bibechana-24341	1	32	:	:	PUNCT
bibechana-24341	1	33	http://nepjol.info/index.php/bibechana	http://nepjol.info/index.php/bibechana	PROPN
bibechana-24341	1	34	publisher	publisher	NOUN
bibechana-24341	1	35	:	:	PUNCT
bibechana-24341	1	36	department	department	NOUN
bibechana-24341	1	37	of	of	ADP
bibechana-24341	1	38	physics	physics	PROPN
bibechana-24341	1	39	,	,	PUNCT
bibechana-24341	2	1	mahendra	mahendra	PROPN
bibechana-24341	2	2	morang	morang	PROPN
bibechana-24341	2	3	a.m.	a.m.	PROPN
bibechana-24341	3	1	campus	campus	PROPN
bibechana-24341	3	2	,	,	PUNCT
bibechana-24341	3	3	tu	tu	PROPN
bibechana-24341	3	4	,	,	PUNCT
bibechana-24341	3	5	biratnagar	biratnagar	NOUN
bibechana-24341	3	6	,	,	PUNCT
bibechana-24341	3	7	nepal	nepal	PROPN
bibechana-24341	3	8	ricci	ricci	PROPN
bibechana-24341	3	9	solitons	soliton	NOUN
bibechana-24341	3	10	on	on	ADP
bibechana-24341	3	11	lorentzian	lorentzian	ADJ
bibechana-24341	3	12	para	para	PROPN
bibechana-24341	3	13	-	-	PUNCT
bibechana-24341	3	14	sasakian	sasakian	ADJ
bibechana-24341	3	15	manifolds	manifolds	PROPN
bibechana-24341	3	16	riddhi	riddhi	ADJ
bibechana-24341	3	17	jung	jung	PROPN
bibechana-24341	3	18	shah	shah	PROPN
bibechana-24341	3	19	department	department	PROPN
bibechana-24341	3	20	of	of	ADP
bibechana-24341	3	21	mathematics	mathematics	PROPN
bibechana-24341	3	22	,	,	PUNCT
bibechana-24341	3	23	janata	janata	PROPN
bibechana-24341	3	24	campus	campus	PROPN
bibechana-24341	3	25	,	,	PUNCT
bibechana-24341	3	26	nepal	nepal	PROPN
bibechana-24341	3	27	sanskrit	sanskrit	PROPN
bibechana-24341	3	28	university	university	PROPN
bibechana-24341	3	29	,	,	PUNCT
bibechana-24341	3	30	dang	dang	INTJ
bibechana-24341	3	31	,	,	PUNCT
bibechana-24341	3	32	nepal	nepal	ADJ
bibechana-24341	3	33	email	email	NOUN
bibechana-24341	3	34	:	:	PUNCT
bibechana-24341	3	35	shahrjgeo@gmail.com	shahrjgeo@gmail.com	X
bibechana-24341	3	36	article	article	PROPN
bibechana-24341	3	37	information	information	NOUN
bibechana-24341	3	38	received	receive	VERB
bibechana-24341	3	39	:	:	PUNCT
bibechana-24341	3	40	june	june	PROPN
bibechana-24341	3	41	5	5	NUM
bibechana-24341	3	42	,	,	PUNCT
bibechana-24341	3	43	2019	2019	NUM
bibechana-24341	3	44	accepted	accept	VERB
bibechana-24341	3	45	:	:	PUNCT
bibechana-24341	3	46	december	december	PROPN
bibechana-24341	3	47	5	5	NUM
bibechana-24341	3	48	,	,	PUNCT
bibechana-24341	3	49	2019	2019	NUM
bibechana-24341	3	50	keywords	keyword	NOUN
bibechana-24341	3	51	:	:	PUNCT
bibechana-24341	3	52	ricci	ricci	PROPN
bibechana-24341	3	53	soliton	soliton	PROPN
bibechana-24341	3	54	lp	lp	PROPN
bibechana-24341	3	55	-	-	PUNCT
bibechana-24341	3	56	sasakian	sasakian	ADJ
bibechana-24341	3	57	manifold	manifold	ADJ
bibechana-24341	3	58	2	2	NUM
bibechana-24341	3	59	w	w	NOUN
bibechana-24341	3	60	-curvature	-curvature	PROPN
bibechana-24341	3	61	tensor	tensor	NOUN
bibechana-24341	3	62	4	4	NUM
bibechana-24341	3	63	w	w	NOUN
bibechana-24341	3	64	-curvature	-curvature	PROPN
bibechana-24341	3	65	tensor	tensor	NOUN
bibechana-24341	3	66	abstract	abstract	NOUN
bibechana-24341	3	67	in	in	ADP
bibechana-24341	3	68	this	this	DET
bibechana-24341	3	69	paper	paper	NOUN
bibechana-24341	3	70	we	we	PRON
bibechana-24341	3	71	study	study	VERB
bibechana-24341	3	72	ricci	ricci	PROPN
bibechana-24341	3	73	solitons	soliton	NOUN
bibechana-24341	3	74	in	in	ADP
bibechana-24341	3	75	lorentzian	lorentzian	ADJ
bibechana-24341	3	76	para	para	PROPN
bibechana-24341	3	77	-	-	PUNCT
bibechana-24341	3	78	sasakian	sasakian	ADJ
bibechana-24341	3	79	manifolds	manifold	NOUN
bibechana-24341	3	80	.	.	PUNCT
bibechana-24341	4	1	it	it	PRON
bibechana-24341	4	2	is	be	AUX
bibechana-24341	4	3	proved	prove	VERB
bibechana-24341	4	4	that	that	SCONJ
bibechana-24341	4	5	the	the	DET
bibechana-24341	4	6	ricci	ricci	PROPN
bibechana-24341	4	7	soliton	soliton	NOUN
bibechana-24341	4	8	in	in	ADP
bibechana-24341	4	9	a	a	DET
bibechana-24341	4	10			PROPN
bibechana-24341	4	11	12	12	PROPN
bibechana-24341	5	1	n	n	PROPN
bibechana-24341	6	1	-dimensinal	-dimensinal	ADJ
bibechana-24341	6	2	lp	lp	ADJ
bibechana-24341	6	3	-	-	ADJ
bibechana-24341	6	4	sasakian	sasakian	ADJ
bibechana-24341	6	5	manifold	manifold	NOUN
bibechana-24341	6	6	is	be	AUX
bibechana-24341	6	7	shrinking	shrink	VERB
bibechana-24341	6	8	.	.	PUNCT
bibechana-24341	7	1	it	it	PRON
bibechana-24341	7	2	is	be	AUX
bibechana-24341	7	3	also	also	ADV
bibechana-24341	7	4	shown	show	VERB
bibechana-24341	7	5	that	that	SCONJ
bibechana-24341	7	6	ricci	ricci	PROPN
bibechana-24341	7	7	solitons	soliton	NOUN
bibechana-24341	7	8	in	in	ADP
bibechana-24341	7	9	an	an	DET
bibechana-24341	7	10	lp	lp	ADJ
bibechana-24341	7	11	-	-	ADJ
bibechana-24341	7	12	sasakian	sasakian	ADJ
bibechana-24341	7	13	manifold	manifold	NOUN
bibechana-24341	7	14	satisfying	satisfy	VERB
bibechana-24341	7	15	the	the	DET
bibechana-24341	7	16	derivation	derivation	NOUN
bibechana-24341	7	17	conditions	condition	NOUN
bibechana-24341	7	18			NOUN
bibechana-24341	7	19			SYM
bibechana-24341	7	20			NOUN
bibechana-24341	7	21			PROPN
bibechana-24341	7	22	0.,,0	0.,,0	NUM
bibechana-24341	7	23	.	.	PUNCT
bibechana-24341	8	1	,	,	PUNCT
bibechana-24341	8	2	422	422	NUM
bibechana-24341	8	3			NUM
bibechana-24341	8	4	wxwwxr	wxwwxr	NOUN
bibechana-24341	8	5			NOUN
bibechana-24341	8	6	and	and	CCONJ
bibechana-24341	8	7			NOUN
bibechana-24341	8	8			PROPN
bibechana-24341	8	9	0	0	NUM
bibechana-24341	8	10	.	.	NUM
bibechana-24341	8	11	,	,	PUNCT
bibechana-24341	8	12	24	24	NUM
bibechana-24341	8	13	wxw	wxw	NOUN
bibechana-24341	8	14			NOUN
bibechana-24341	8	15	are	be	AUX
bibechana-24341	8	16	shrinking	shrink	VERB
bibechana-24341	8	17	but	but	CCONJ
bibechana-24341	8	18	are	be	AUX
bibechana-24341	8	19	steady	steady	ADJ
bibechana-24341	8	20	for	for	ADP
bibechana-24341	8	21	the	the	DET
bibechana-24341	8	22	condition	condition	NOUN
bibechana-24341	8	23			NOUN
bibechana-24341	8	24			PROPN
bibechana-24341	8	25	.0	.0	NUM
bibechana-24341	8	26	.	.	PUNCT
bibechana-24341	9	1	,	,	PUNCT
bibechana-24341	9	2	2	2	NUM
bibechana-24341	9	3	sxw	sxw	NOUN
bibechana-24341	9	4			NOUN
bibechana-24341	9	5	finally	finally	ADV
bibechana-24341	9	6	,	,	PUNCT
bibechana-24341	9	7	we	we	PRON
bibechana-24341	9	8	give	give	VERB
bibechana-24341	9	9	an	an	DET
bibechana-24341	9	10	example	example	NOUN
bibechana-24341	9	11	of	of	ADP
bibechana-24341	9	12	3	3	NUM
bibechana-24341	9	13	-	-	PUNCT
bibechana-24341	9	14	dimensional	dimensional	ADJ
bibechana-24341	9	15	lp	lp	ADJ
bibechana-24341	9	16	-	-	ADJ
bibechana-24341	9	17	sasakian	sasakian	ADJ
bibechana-24341	9	18	manifold	manifold	NOUN
bibechana-24341	9	19	and	and	CCONJ
bibechana-24341	9	20	prove	prove	VERB
bibechana-24341	9	21	that	that	SCONJ
bibechana-24341	9	22	the	the	DET
bibechana-24341	9	23	ricci	ricci	PROPN
bibechana-24341	9	24	soliton	soliton	NOUN
bibechana-24341	9	25	is	be	AUX
bibechana-24341	9	26	expanding	expand	VERB
bibechana-24341	9	27	and	and	CCONJ
bibechana-24341	9	28	shrinking	shrink	VERB
bibechana-24341	9	29	in	in	ADP
bibechana-24341	9	30	this	this	DET
bibechana-24341	9	31	manifold	manifold	NOUN
bibechana-24341	9	32	.	.	PUNCT
bibechana-24341	10	1	1	1	X
bibechana-24341	10	2	.	.	X
bibechana-24341	10	3	introduction	introduction	NOUN
bibechana-24341	10	4	a	a	DET
bibechana-24341	10	5	ricci	ricci	PROPN
bibechana-24341	10	6	soliton	soliton	NOUN
bibechana-24341	10	7	is	be	AUX
bibechana-24341	10	8	a	a	DET
bibechana-24341	10	9	natural	natural	ADJ
bibechana-24341	10	10	generalization	generalization	NOUN
bibechana-24341	10	11	of	of	ADP
bibechana-24341	10	12	an	an	DET
bibechana-24341	10	13	einstein	einstein	ADJ
bibechana-24341	10	14	metric	metric	NOUN
bibechana-24341	10	15	and	and	CCONJ
bibechana-24341	10	16	is	be	AUX
bibechana-24341	10	17	defined	define	VERB
bibechana-24341	10	18	on	on	ADP
bibechana-24341	10	19	a	a	DET
bibechana-24341	10	20	riemannian	riemannian	ADJ
bibechana-24341	10	21	manifold	manifold	ADJ
bibechana-24341	10	22			NOUN
bibechana-24341	10	23	.	.	PROPN
bibechana-24341	10	24	,	,	PUNCT
bibechana-24341	10	25	gm	gm	PROPN
bibechana-24341	10	26	a	a	DET
bibechana-24341	10	27	ricci	ricci	PROPN
bibechana-24341	10	28	soliton	soliton	NOUN
bibechana-24341	10	29	is	be	AUX
bibechana-24341	10	30	a	a	DET
bibechana-24341	10	31	triple	triple	ADJ
bibechana-24341	10	32			NOUN
bibechana-24341	10	33	,,vg	,,vg	PROPN
bibechana-24341	10	34	with	with	ADP
bibechana-24341	10	35	g	g	PROPN
bibechana-24341	10	36	a	a	DET
bibechana-24341	10	37	riemannian	riemannian	ADJ
bibechana-24341	10	38	metric	metric	NOUN
bibechana-24341	10	39	,	,	PUNCT
bibechana-24341	10	40	v	v	ADP
bibechana-24341	10	41	a	a	DET
bibechana-24341	10	42	vector	vector	NOUN
bibechana-24341	10	43	field	field	NOUN
bibechana-24341	10	44	and	and	CCONJ
bibechana-24341	10	45			X
bibechana-24341	10	46	a	a	DET
bibechana-24341	10	47	real	real	ADJ
bibechana-24341	10	48	scalar	scalar	NOUN
bibechana-24341	10	49	such	such	ADJ
bibechana-24341	10	50	that	that	SCONJ
bibechana-24341	10	51	,	,	PUNCT
bibechana-24341	10	52	022	022	NUM
bibechana-24341	10	53			PROPN
bibechana-24341	10	54	gsgl	gsgl	PROPN
bibechana-24341	10	55	v	v	ADP
bibechana-24341	10	56			X
bibechana-24341	10	57	(	(	PUNCT
bibechana-24341	10	58	1.1	1.1	NUM
bibechana-24341	10	59	)	)	PUNCT
bibechana-24341	10	60	where	where	SCONJ
bibechana-24341	10	61	s	s	NOUN
bibechana-24341	10	62	is	be	AUX
bibechana-24341	10	63	the	the	DET
bibechana-24341	10	64	ricci	ricci	PROPN
bibechana-24341	10	65	tensor	tensor	NOUN
bibechana-24341	10	66	and	and	CCONJ
bibechana-24341	10	67	gl	gl	PROPN
bibechana-24341	10	68	v	v	PROPN
bibechana-24341	10	69	denotes	denote	NOUN
bibechana-24341	10	70	the	the	DET
bibechana-24341	10	71	lie	lie	NOUN
bibechana-24341	10	72	derivative	derivative	NOUN
bibechana-24341	10	73	of	of	ADP
bibechana-24341	10	74	g	g	NOUN
bibechana-24341	10	75	along	along	ADP
bibechana-24341	10	76	a	a	DET
bibechana-24341	10	77	vector	vector	NOUN
bibechana-24341	10	78	field	field	NOUN
bibechana-24341	10	79	v	v	ADP
bibechana-24341	10	80	[	[	X
bibechana-24341	10	81	1	1	NUM
bibechana-24341	10	82	]	]	PUNCT
bibechana-24341	10	83	.	.	PUNCT
bibechana-24341	11	1	the	the	DET
bibechana-24341	11	2	ricci	ricci	PROPN
bibechana-24341	11	3	soliton	soliton	NOUN
bibechana-24341	11	4	is	be	AUX
bibechana-24341	11	5	said	say	VERB
bibechana-24341	11	6	to	to	PART
bibechana-24341	11	7	be	be	AUX
bibechana-24341	11	8	shrinking	shrink	VERB
bibechana-24341	11	9	,	,	PUNCT
bibechana-24341	11	10	steady	steady	ADJ
bibechana-24341	11	11	and	and	CCONJ
bibechana-24341	11	12	expanding	expand	VERB
bibechana-24341	11	13	according	accord	VERB
bibechana-24341	11	14	as	as	ADP
bibechana-24341	11	15	0,0	0,0	NUM
bibechana-24341	11	16			ADJ
bibechana-24341	11	17			NOUN
bibechana-24341	11	18	and	and	CCONJ
bibechana-24341	11	19	0	0	X
bibechana-24341	11	20	respectively	respectively	ADV
bibechana-24341	11	21	.	.	PUNCT
bibechana-24341	12	1	compact	compact	ADJ
bibechana-24341	12	2	ricci	ricci	PROPN
bibechana-24341	12	3	solitons	soliton	NOUN
bibechana-24341	12	4	are	be	AUX
bibechana-24341	12	5	the	the	DET
bibechana-24341	12	6	fixed	fix	VERB
bibechana-24341	12	7	points	point	NOUN
bibechana-24341	12	8	of	of	ADP
bibechana-24341	12	9	the	the	DET
bibechana-24341	12	10	ricci	ricci	PROPN
bibechana-24341	12	11	flow	flow	PROPN
bibechana-24341	12	12	s	s	PROPN
bibechana-24341	12	13	t	t	NOUN
bibechana-24341	12	14	g	g	PROPN
bibechana-24341	12	15	2	2	NUM
bibechana-24341	12	16			PROPN
bibechana-24341	12	17			PROPN
bibechana-24341	12	18	projected	project	VERB
bibechana-24341	12	19	from	from	ADP
bibechana-24341	12	20	the	the	DET
bibechana-24341	12	21	space	space	NOUN
bibechana-24341	12	22	of	of	ADP
bibechana-24341	12	23	metrics	metric	NOUN
bibechana-24341	12	24	onto	onto	ADP
bibechana-24341	12	25	its	its	PRON
bibechana-24341	12	26	quotient	quotient	NOUN
bibechana-24341	12	27	modulo	modulo	NOUN
bibechana-24341	12	28	diffeomorphism	diffeomorphism	NOUN
bibechana-24341	12	29	and	and	CCONJ
bibechana-24341	12	30	scalings	scaling	NOUN
bibechana-24341	12	31	and	and	CCONJ
bibechana-24341	12	32	often	often	ADV
bibechana-24341	12	33	arise	arise	VERB
bibechana-24341	12	34	as	as	ADP
bibechana-24341	12	35	blow	blow	NOUN
bibechana-24341	12	36	-	-	PUNCT
bibechana-24341	12	37	up	up	ADP
bibechana-24341	12	38	limits	limit	NOUN
bibechana-24341	12	39	for	for	ADP
bibechana-24341	12	40	the	the	DET
bibechana-24341	12	41	ricci	ricci	PROPN
bibechana-24341	12	42	flow	flow	NOUN
bibechana-24341	12	43	on	on	ADP
bibechana-24341	12	44	compact	compact	ADJ
bibechana-24341	12	45	manifolds	manifold	NOUN
bibechana-24341	12	46	.	.	PUNCT
bibechana-24341	13	1	metrics	metric	NOUN
bibechana-24341	13	2	satisfying	satisfy	VERB
bibechana-24341	13	3	(	(	PUNCT
bibechana-24341	13	4	1.1	1.1	NUM
bibechana-24341	13	5	)	)	PUNCT
bibechana-24341	13	6	are	be	AUX
bibechana-24341	13	7	interesting	interesting	ADJ
bibechana-24341	13	8	and	and	CCONJ
bibechana-24341	13	9	useful	useful	ADJ
bibechana-24341	13	10	in	in	ADP
bibechana-24341	13	11	physics	physics	NOUN
bibechana-24341	13	12	and	and	CCONJ
bibechana-24341	13	13	often	often	ADV
bibechana-24341	13	14	are	be	AUX
bibechana-24341	13	15	referred	refer	VERB
bibechana-24341	13	16	as	as	ADP
bibechana-24341	13	17	quasi	quasi	NOUN
bibechana-24341	13	18	-	-	NOUN
bibechana-24341	13	19	einstein	einstein	ADJ
bibechana-24341	13	20	(	(	PUNCT
bibechana-24341	13	21	eg	eg	NOUN
bibechana-24341	13	22	,	,	PUNCT
bibechana-24341	13	23	see	see	VERB
bibechana-24341	13	24	[	[	X
bibechana-24341	13	25	2	2	NUM
bibechana-24341	13	26	]	]	PUNCT
bibechana-24341	13	27	,	,	PUNCT
bibechana-24341	13	28	[	[	X
bibechana-24341	13	29	3	3	NUM
bibechana-24341	13	30	]	]	NUM
bibechana-24341	13	31	)	)	PUNCT
bibechana-24341	13	32	.	.	PUNCT
bibechana-24341	14	1	the	the	DET
bibechana-24341	14	2	ricci	ricci	PROPN
bibechana-24341	14	3	flow	flow	NOUN
bibechana-24341	14	4	was	be	AUX
bibechana-24341	14	5	used	use	VERB
bibechana-24341	14	6	by	by	ADP
bibechana-24341	14	7	perelman	perelman	NOUN
bibechana-24341	14	8	to	to	PART
bibechana-24341	14	9	prove	prove	VERB
bibechana-24341	14	10	the	the	DET
bibechana-24341	14	11	poincare	poincare	PROPN
bibechana-24341	14	12	's	's	PART
bibechana-24341	14	13	conjecture	conjecture	NOUN
bibechana-24341	14	14	theorem	theorem	NOUN
bibechana-24341	14	15	and	and	CCONJ
bibechana-24341	14	16	the	the	DET
bibechana-24341	14	17	thurston	thurston	PROPN
bibechana-24341	14	18	's	's	PART
bibechana-24341	14	19	geometrization	geometrization	NOUN
bibechana-24341	14	20	conjecture	conjecture	NOUN
bibechana-24341	14	21	theorem	theorem	VERB
bibechana-24341	14	22	in	in	ADP
bibechana-24341	14	23	topology	topology	NOUN
bibechana-24341	14	24	[	[	X
bibechana-24341	14	25	4	4	NUM
bibechana-24341	14	26	]	]	PUNCT
bibechana-24341	14	27	.	.	PUNCT
bibechana-24341	15	1	ricci	ricci	PROPN
bibechana-24341	15	2	solitons	soliton	NOUN
bibechana-24341	15	3	have	have	AUX
bibechana-24341	15	4	also	also	ADV
bibechana-24341	15	5	been	be	AUX
bibechana-24341	15	6	studied	study	VERB
bibechana-24341	15	7	by	by	ADP
bibechana-24341	15	8	[	[	X
bibechana-24341	15	9	5	5	NUM
bibechana-24341	15	10	]	]	PUNCT
bibechana-24341	15	11	,	,	PUNCT
bibechana-24341	16	1	[	[	X
bibechana-24341	16	2	6	6	NUM
bibechana-24341	16	3	]	]	PUNCT
bibechana-24341	16	4	,	,	PUNCT
bibechana-24341	16	5	[	[	X
bibechana-24341	16	6	7	7	NUM
bibechana-24341	16	7	]	]	PUNCT
bibechana-24341	16	8	,	,	PUNCT
bibechana-24341	16	9	[	[	X
bibechana-24341	16	10	8	8	NUM
bibechana-24341	16	11	]	]	PUNCT
bibechana-24341	16	12	and	and	CCONJ
bibechana-24341	16	13	others	other	NOUN
bibechana-24341	16	14	.	.	PUNCT
bibechana-24341	17	1	on	on	ADP
bibechana-24341	17	2	the	the	DET
bibechana-24341	17	3	other	other	ADJ
bibechana-24341	17	4	hand	hand	NOUN
bibechana-24341	17	5	,	,	PUNCT
bibechana-24341	17	6	the	the	DET
bibechana-24341	17	7	notion	notion	NOUN
bibechana-24341	17	8	of	of	ADP
bibechana-24341	17	9	a	a	DET
bibechana-24341	17	10	lorentzian	lorentzian	ADJ
bibechana-24341	17	11	para	para	NOUN
bibechana-24341	17	12	-	-	PUNCT
bibechana-24341	17	13	sasakian	sasakian	ADJ
bibechana-24341	17	14	manifold	manifold	NOUN
bibechana-24341	17	15	was	be	AUX
bibechana-24341	17	16	introduced	introduce	VERB
bibechana-24341	17	17	by	by	ADP
bibechana-24341	17	18	https://creativecommons.org/licenses/bync/4.0/	https://creativecommons.org/licenses/bync/4.0/	PROPN
bibechana-24341	17	19	this	this	DET
bibechana-24341	17	20	work	work	NOUN
bibechana-24341	17	21	is	be	AUX
bibechana-24341	17	22	licensed	license	VERB
bibechana-24341	17	23	under	under	ADP
bibechana-24341	17	24	the	the	DET
bibechana-24341	17	25	creative	creative	ADJ
bibechana-24341	17	26	commons	common	NOUN
bibechana-24341	17	27	ccby	ccby	PROPN
bibechana-24341	17	28	-	-	PUNCT
bibechana-24341	17	29	nc	nc	NOUN
bibechana-24341	17	30	license	license	NOUN
bibechana-24341	17	31	.	.	PUNCT
bibechana-24341	18	1	doi	doi	NOUN
bibechana-24341	18	2	:	:	PUNCT
bibechana-24341	18	3	https://doi.org/10.3126/bibechana.v17i0.24341	https://doi.org/10.3126/bibechana.v17i0.24341	X
bibechana-24341	18	4	http://nepjol.info/index.php/bibechana	http://nepjol.info/index.php/bibechana	PROPN
bibechana-24341	18	5	mailto:shahrjgeo@gmail.com	mailto:shahrjgeo@gmail.com	PROPN
bibechana-24341	19	1	https://creativecommons.org/licenses/by-nc/4.0/	https://creativecommons.org/licenses/by-nc/4.0/	PRON
bibechana-24341	19	2	https://doi.org/10.3126/bibechana.v17i0.24341	https://doi.org/10.3126/bibechana.v17i0.24341	PROPN
bibechana-24341	19	3	riddhi	riddhi	PROPN
bibechana-24341	19	4	jung	jung	PROPN
bibechana-24341	19	5	shah	shah	PROPN
bibechana-24341	19	6	/	/	SYM
bibechana-24341	19	7	bibechana	bibechana	PROPN
bibechana-24341	19	8	17	17	NUM
bibechana-24341	19	9	(	(	PUNCT
bibechana-24341	19	10	2020	2020	NUM
bibechana-24341	19	11	)	)	PUNCT
bibechana-24341	19	12	110	110	NUM
bibechana-24341	19	13	-	-	SYM
bibechana-24341	19	14	116	116	NUM
bibechana-24341	19	15	111	111	NUM
bibechana-24341	19	16	matsumoto	matsumoto	NOUN
bibechana-24341	19	17	[	[	X
bibechana-24341	19	18	9	9	NUM
bibechana-24341	19	19	]	]	PUNCT
bibechana-24341	19	20	.	.	PUNCT
bibechana-24341	20	1	mihai	mihai	PROPN
bibechana-24341	20	2	and	and	CCONJ
bibechana-24341	20	3	rosca	rosca	PROPN
bibechana-24341	20	4	defined	define	VERB
bibechana-24341	20	5	the	the	DET
bibechana-24341	20	6	same	same	ADJ
bibechana-24341	20	7	notion	notion	NOUN
bibechana-24341	20	8	independently	independently	ADV
bibechana-24341	20	9	and	and	CCONJ
bibechana-24341	20	10	obtain	obtain	VERB
bibechana-24341	20	11	several	several	ADJ
bibechana-24341	20	12	results	result	NOUN
bibechana-24341	20	13	on	on	ADP
bibechana-24341	20	14	this	this	DET
bibechana-24341	20	15	manifold	manifold	ADJ
bibechana-24341	20	16	[	[	X
bibechana-24341	20	17	10	10	NUM
bibechana-24341	20	18	]	]	PUNCT
bibechana-24341	20	19	.	.	PUNCT
bibechana-24341	21	1	lp	lp	ADJ
bibechana-24341	21	2	-	-	PUNCT
bibechana-24341	21	3	sasakian	sasakian	ADJ
bibechana-24341	21	4	manifolds	manifold	NOUN
bibechana-24341	21	5	have	have	AUX
bibechana-24341	21	6	also	also	ADV
bibechana-24341	21	7	been	be	AUX
bibechana-24341	21	8	studied	study	VERB
bibechana-24341	21	9	by	by	ADP
bibechana-24341	21	10	[	[	PUNCT
bibechana-24341	21	11	11	11	NUM
bibechana-24341	21	12	]	]	PUNCT
bibechana-24341	21	13	,	,	PUNCT
bibechana-24341	21	14	[	[	X
bibechana-24341	21	15	12	12	NUM
bibechana-24341	21	16	]	]	PUNCT
bibechana-24341	21	17	,	,	PUNCT
bibechana-24341	21	18	[	[	X
bibechana-24341	21	19	13	13	NUM
bibechana-24341	21	20	]	]	PUNCT
bibechana-24341	21	21	and	and	CCONJ
bibechana-24341	21	22	others	other	NOUN
bibechana-24341	21	23	.	.	PUNCT
bibechana-24341	22	1	in	in	ADP
bibechana-24341	22	2	this	this	DET
bibechana-24341	22	3	paper	paper	NOUN
bibechana-24341	22	4	,	,	PUNCT
bibechana-24341	22	5	we	we	PRON
bibechana-24341	22	6	prove	prove	VERB
bibechana-24341	22	7	some	some	DET
bibechana-24341	22	8	derivation	derivation	NOUN
bibechana-24341	22	9	conditions	condition	NOUN
bibechana-24341	22	10	for	for	ADP
bibechana-24341	22	11	ricci	ricci	NOUN
bibechana-24341	22	12	solitons	soliton	NOUN
bibechana-24341	22	13	in	in	ADP
bibechana-24341	22	14	lpsasakian	lpsasakian	ADJ
bibechana-24341	22	15	manifolds	manifold	NOUN
bibechana-24341	22	16	.	.	PUNCT
bibechana-24341	23	1	we	we	PRON
bibechana-24341	23	2	investigate	investigate	VERB
bibechana-24341	23	3	shrinking	shrink	VERB
bibechana-24341	23	4	property	property	NOUN
bibechana-24341	23	5	of	of	ADP
bibechana-24341	23	6	ricci	ricci	PROPN
bibechana-24341	23	7	soliton	soliton	NOUN
bibechana-24341	23	8	in	in	ADP
bibechana-24341	23	9	a	a	DET
bibechana-24341	23	10	lp	lp	ADJ
bibechana-24341	23	11	-	-	PUNCT
bibechana-24341	23	12	sasakin	sasakin	NOUN
bibechana-24341	23	13	manifold	manifold	NOUN
bibechana-24341	23	14	when	when	SCONJ
bibechana-24341	23	15	a	a	DET
bibechana-24341	23	16	vector	vector	NOUN
bibechana-24341	23	17	field	field	NOUN
bibechana-24341	23	18	v	v	NOUN
bibechana-24341	23	19	is	be	AUX
bibechana-24341	23	20	collinear	collinear	ADJ
bibechana-24341	23	21	with	with	ADP
bibechana-24341	23	22	.	.	PUNCT
bibechana-24341	24	1	we	we	PRON
bibechana-24341	24	2	obtain	obtain	VERB
bibechana-24341	24	3	some	some	DET
bibechana-24341	24	4	results	result	NOUN
bibechana-24341	24	5	of	of	ADP
bibechana-24341	24	6	ricci	ricci	NOUN
bibechana-24341	24	7	solitons	soliton	NOUN
bibechana-24341	24	8	on	on	ADP
bibechana-24341	24	9	lp	lp	ADJ
bibechana-24341	24	10	-	-	ADJ
bibechana-24341	24	11	sasakian	sasakian	ADJ
bibechana-24341	24	12	manifolds	manifold	NOUN
bibechana-24341	24	13	satisfying	satisfy	VERB
bibechana-24341	24	14	the	the	DET
bibechana-24341	24	15	conditions	condition	NOUN
bibechana-24341	24	16			NOUN
bibechana-24341	24	17			PROPN
bibechana-24341	24	18	,	,	PUNCT
bibechana-24341	24	19	0	0	NUM
bibechana-24341	24	20	.	.	NUM
bibechana-24341	24	21	,	,	PUNCT
bibechana-24341	24	22	2	2	NUM
bibechana-24341	24	23	wxr	wxr	NOUN
bibechana-24341	24	24			NOUN
bibechana-24341	24	25			NOUN
bibechana-24341	24	26			PROPN
bibechana-24341	24	27	,	,	PUNCT
bibechana-24341	24	28	0	0	NUM
bibechana-24341	24	29	.	.	NUM
bibechana-24341	24	30	,	,	PUNCT
bibechana-24341	24	31	2	2	NUM
bibechana-24341	24	32	sxw	sxw	NOUN
bibechana-24341	24	33			VERB
bibechana-24341	24	34			NOUN
bibechana-24341	24	35			PROPN
bibechana-24341	24	36	0	0	NUM
bibechana-24341	24	37	.	.	NUM
bibechana-24341	24	38	,	,	PUNCT
bibechana-24341	24	39	42	42	NUM
bibechana-24341	24	40	wxw	wxw	NOUN
bibechana-24341	24	41			NOUN
bibechana-24341	24	42	and	and	CCONJ
bibechana-24341	24	43			NOUN
bibechana-24341	24	44			PROPN
bibechana-24341	24	45	0	0	NUM
bibechana-24341	24	46	.	.	NUM
bibechana-24341	24	47	,	,	PUNCT
bibechana-24341	24	48	24	24	NUM
bibechana-24341	24	49	wxw	wxw	NOUN
bibechana-24341	24	50			VERB
bibechana-24341	24	51	respectively	respectively	ADV
bibechana-24341	24	52	.	.	PUNCT
bibechana-24341	25	1	finally	finally	ADV
bibechana-24341	25	2	,	,	PUNCT
bibechana-24341	25	3	we	we	PRON
bibechana-24341	25	4	give	give	VERB
bibechana-24341	25	5	an	an	DET
bibechana-24341	25	6	example	example	NOUN
bibechana-24341	25	7	of	of	ADP
bibechana-24341	25	8	3dimensional	3dimensional	ADJ
bibechana-24341	25	9	lp	lp	ADJ
bibechana-24341	25	10	-	-	PUNCT
bibechana-24341	25	11	sasakian	sasakian	ADJ
bibechana-24341	25	12	manifold	manifold	NOUN
bibechana-24341	25	13	which	which	PRON
bibechana-24341	25	14	is	be	AUX
bibechana-24341	25	15	expanding	expand	VERB
bibechana-24341	25	16	and	and	CCONJ
bibechana-24341	25	17	shrinking	shrink	VERB
bibechana-24341	25	18	ricci	ricci	PROPN
bibechana-24341	25	19	soliton	soliton	NOUN
bibechana-24341	25	20	.	.	PUNCT
bibechana-24341	26	1	2	2	X
bibechana-24341	26	2	.	.	X
bibechana-24341	26	3	preliminaries	preliminary	NOUN
bibechana-24341	26	4	let	let	VERB
bibechana-24341	26	5	m	m	PRON
bibechana-24341	26	6	be	be	AUX
bibechana-24341	26	7	a	a	DET
bibechana-24341	26	8			PROPN
bibechana-24341	26	9	12	12	ADJ
bibechana-24341	27	1	n	n	PROPN
bibechana-24341	27	2	-dimensional	-dimensional	ADJ
bibechana-24341	27	3	differentiable	differentiable	ADJ
bibechana-24341	27	4	manifold	manifold	NOUN
bibechana-24341	27	5	.	.	PUNCT
bibechana-24341	28	1	then	then	ADV
bibechana-24341	28	2	m	m	NOUN
bibechana-24341	28	3	is	be	AUX
bibechana-24341	28	4	said	say	VERB
bibechana-24341	28	5	to	to	PART
bibechana-24341	28	6	be	be	AUX
bibechana-24341	28	7	a	a	DET
bibechana-24341	28	8	lorentzian	lorentzian	ADJ
bibechana-24341	28	9	para	para	NOUN
bibechana-24341	28	10	-	-	PUNCT
bibechana-24341	28	11	sasakian	sasakian	NOUN
bibechana-24341	28	12	manifold	manifold	NOUN
bibechana-24341	28	13	(	(	PUNCT
bibechana-24341	28	14	briefly	briefly	ADV
bibechana-24341	28	15	lp	lp	ADJ
bibechana-24341	28	16	-	-	ADJ
bibechana-24341	28	17	sasakian	sasakian	ADJ
bibechana-24341	28	18	manifold	manifold	NOUN
bibechana-24341	28	19	)	)	PUNCT
bibechana-24341	28	20	,	,	PUNCT
bibechana-24341	28	21	if	if	SCONJ
bibechana-24341	28	22	it	it	PRON
bibechana-24341	28	23	admits	admit	VERB
bibechana-24341	28	24	a	a	DET
bibechana-24341	28	25	(	(	PUNCT
bibechana-24341	28	26	1	1	NUM
bibechana-24341	28	27	,	,	PUNCT
bibechana-24341	28	28	1	1	NUM
bibechana-24341	28	29	)	)	PUNCT
bibechana-24341	28	30	tensor	tensor	NOUN
bibechana-24341	28	31	field	field	NOUN
bibechana-24341	28	32	,	,	PUNCT
bibechana-24341	28	33			PROPN
bibechana-24341	28	34	a	a	DET
bibechana-24341	28	35	contravariant	contravariant	ADJ
bibechana-24341	28	36	vector	vector	NOUN
bibechana-24341	28	37	field	field	NOUN
bibechana-24341	28	38	,	,	PUNCT
bibechana-24341	28	39			VERB
bibechana-24341	29	1	a	a	DET
bibechana-24341	29	2	1	1	NUM
bibechana-24341	29	3	-	-	PUNCT
bibechana-24341	29	4	form	form	NOUN
bibechana-24341	29	5			NUM
bibechana-24341	29	6	and	and	CCONJ
bibechana-24341	29	7	a	a	DET
bibechana-24341	29	8	lorentzian	lorentzian	ADJ
bibechana-24341	29	9	metric	metric	NOUN
bibechana-24341	29	10	g	g	NOUN
bibechana-24341	29	11	which	which	PRON
bibechana-24341	29	12	satisfy	satisfy	VERB
bibechana-24341	29	13			NOUN
bibechana-24341	29	14			SYM
bibechana-24341	29	15			NOUN
bibechana-24341	29	16			SYM
bibechana-24341	29	17			NOUN
bibechana-24341	29	18			SYM
bibechana-24341	29	19			NOUN
bibechana-24341	29	20			PROPN
bibechana-24341	29	21	,	,	PUNCT
bibechana-24341	29	22	0	0	NUM
bibechana-24341	29	23	,	,	PUNCT
bibechana-24341	29	24	0	0	NUM
bibechana-24341	29	25	,	,	PUNCT
bibechana-24341	29	26	,	,	PUNCT
bibechana-24341	29	27	1	1	NUM
bibechana-24341	29	28	2	2	NUM
bibechana-24341	29	29			NUM
bibechana-24341	29	30			NOUN
bibechana-24341	29	31	x	x	SYM
bibechana-24341	29	32	xxx	xxx	PROPN
bibechana-24341	29	33			PROPN
bibechana-24341	29	34			NOUN
bibechana-24341	29	35	(	(	PUNCT
bibechana-24341	29	36	2.1	2.1	NUM
bibechana-24341	29	37	)	)	PUNCT
bibechana-24341	29	38			NOUN
bibechana-24341	29	39			SYM
bibechana-24341	29	40			NOUN
bibechana-24341	29	41			SYM
bibechana-24341	29	42			NOUN
bibechana-24341	29	43			PUNCT
bibechana-24341	29	44			PROPN
bibechana-24341	29	45			PROPN
bibechana-24341	29	46	,	,	PUNCT
bibechana-24341	29	47	,	,	PUNCT
bibechana-24341	29	48	,	,	PUNCT
bibechana-24341	29	49	yxyxgyxg	yxyxgyxg	PROPN
bibechana-24341	29	50			PROPN
bibechana-24341	29	51			PROPN
bibechana-24341	29	52	(	(	PUNCT
bibechana-24341	29	53	2.2	2.2	NUM
bibechana-24341	29	54	)	)	PUNCT
bibechana-24341	29	55			NOUN
bibechana-24341	29	56			PUNCT
bibechana-24341	29	57			PROPN
bibechana-24341	29	58			PROPN
bibechana-24341	29	59	,	,	PUNCT
bibechana-24341	29	60	,	,	PUNCT
bibechana-24341	29	61	xxg	xxg	PROPN
bibechana-24341	29	62			ADV
bibechana-24341	29	63			PROPN
bibechana-24341	29	64	(	(	PUNCT
bibechana-24341	29	65	2.3	2.3	NUM
bibechana-24341	29	66	)	)	PUNCT
bibechana-24341	29	67	,	,	PUNCT
bibechana-24341	29	68	x	x	SYM
bibechana-24341	29	69	x	x	X
bibechana-24341	29	70			NUM
bibechana-24341	29	71			NOUN
bibechana-24341	29	72	(	(	PUNCT
bibechana-24341	29	73	2.4	2.4	NUM
bibechana-24341	29	74	)	)	PUNCT
bibechana-24341	29	75			NOUN
bibechana-24341	29	76			SYM
bibechana-24341	29	77			NOUN
bibechana-24341	29	78			SYM
bibechana-24341	29	79			NOUN
bibechana-24341	29	80			SYM
bibechana-24341	29	81			NOUN
bibechana-24341	29	82			SYM
bibechana-24341	29	83			NOUN
bibechana-24341	29	84			PROPN
bibechana-24341	29	85	,	,	PUNCT
bibechana-24341	29	86	2	2	NUM
bibechana-24341	29	87	,	,	PUNCT
bibechana-24341	29	88			NOUN
bibechana-24341	29	89	yxxyyxgy	yxxyyxgy	X
bibechana-24341	29	90	x	x	X
bibechana-24341	29	91			NOUN
bibechana-24341	29	92	(	(	PUNCT
bibechana-24341	29	93	2.5	2.5	NUM
bibechana-24341	29	94	)	)	PUNCT
bibechana-24341	29	95	for	for	ADP
bibechana-24341	29	96	all	all	PRON
bibechana-24341	29	97	,	,	PUNCT
bibechana-24341	29	98	,	,	PUNCT
bibechana-24341	29	99	tmyx	tmyx	PROPN
bibechana-24341	29	100			PROPN
bibechana-24341	29	101	where	where	SCONJ
bibechana-24341	29	102			PROPN
bibechana-24341	29	103	denotes	denote	VERB
bibechana-24341	29	104	the	the	DET
bibechana-24341	29	105	covariant	covariant	ADJ
bibechana-24341	29	106	differentiation	differentiation	NOUN
bibechana-24341	29	107	with	with	ADP
bibechana-24341	29	108	respect	respect	NOUN
bibechana-24341	29	109	to	to	ADP
bibechana-24341	29	110	the	the	DET
bibechana-24341	29	111	lorentzian	lorentzian	ADJ
bibechana-24341	29	112	metric	metric	NOUN
bibechana-24341	29	113	g	g	PROPN
bibechana-24341	30	1	[	[	X
bibechana-24341	30	2	9	9	NUM
bibechana-24341	30	3	,	,	PUNCT
bibechana-24341	30	4	10	10	NUM
bibechana-24341	30	5	]	]	PUNCT
bibechana-24341	30	6	.	.	PUNCT
bibechana-24341	31	1	if	if	SCONJ
bibechana-24341	31	2	we	we	PRON
bibechana-24341	31	3	put	put	VERB
bibechana-24341	31	4	,	,	PUNCT
bibechana-24341	31	5			PROPN
bibechana-24341	31	6			PROPN
bibechana-24341	31	7			PROPN
bibechana-24341	31	8			PROPN
bibechana-24341	31	9	,	,	PUNCT
bibechana-24341	31	10	,	,	PUNCT
bibechana-24341	31	11	,	,	PUNCT
bibechana-24341	31	12	yxgyx	yxgyx	NOUN
bibechana-24341	31	13			PROPN
bibechana-24341	31	14	then	then	ADV
bibechana-24341	31	15			PROPN
bibechana-24341	31	16	is	be	AUX
bibechana-24341	31	17	a	a	DET
bibechana-24341	31	18	symmetric	symmetric	ADJ
bibechana-24341	31	19	(	(	PUNCT
bibechana-24341	31	20	0,2	0,2	NUM
bibechana-24341	31	21	)	)	PUNCT
bibechana-24341	31	22	tensor	tensor	NOUN
bibechana-24341	31	23	field	field	NOUN
bibechana-24341	31	24	[	[	X
bibechana-24341	31	25	9	9	NUM
bibechana-24341	31	26	]	]	PUNCT
bibechana-24341	31	27	.	.	PUNCT
bibechana-24341	32	1	since	since	SCONJ
bibechana-24341	32	2	the	the	DET
bibechana-24341	32	3	1	1	NUM
bibechana-24341	32	4	-	-	PUNCT
bibechana-24341	32	5	form	form	NOUN
bibechana-24341	32	6			NUM
bibechana-24341	32	7	is	be	AUX
bibechana-24341	32	8	closed	close	VERB
bibechana-24341	32	9	in	in	ADP
bibechana-24341	32	10	an	an	DET
bibechana-24341	32	11	lp	lp	ADJ
bibechana-24341	32	12	-	-	PUNCT
bibechana-24341	32	13	sasakian	sasakian	ADJ
bibechana-24341	32	14	manifold	manifold	NOUN
bibechana-24341	32	15	we	we	PRON
bibechana-24341	32	16	have	have	VERB
bibechana-24341	32	17	[	[	X
bibechana-24341	32	18	12	12	NUM
bibechana-24341	32	19	]	]	PUNCT
bibechana-24341	32	20	,	,	PUNCT
bibechana-24341	33	1	[	[	X
bibechana-24341	33	2	9	9	NUM
bibechana-24341	33	3	]	]	X
bibechana-24341	33	4			NOUN
bibechana-24341	33	5			SYM
bibechana-24341	33	6			NOUN
bibechana-24341	33	7			SYM
bibechana-24341	33	8			NOUN
bibechana-24341	33	9			PROPN
bibechana-24341	33	10			NOUN
bibechana-24341	33	11	.	.	PUNCT
bibechana-24341	33	12	,	,	PUNCT
bibechana-24341	33	13	,	,	PUNCT
bibechana-24341	33	14	,	,	PUNCT
bibechana-24341	33	15	yxgyxgyxy	yxgyxgyxy	NOUN
bibechana-24341	33	16	x	x	SYM
bibechana-24341	33	17			VERB
bibechana-24341	33	18			X
bibechana-24341	33	19	(	(	PUNCT
bibechana-24341	33	20	2.6	2.6	NUM
bibechana-24341	33	21	)	)	PUNCT
bibechana-24341	33	22	in	in	ADP
bibechana-24341	33	23	a	a	DET
bibechana-24341	33	24			PROPN
bibechana-24341	33	25	12	12	PROPN
bibechana-24341	33	26	n	n	PROPN
bibechana-24341	33	27	-dimensional	-dimensional	ADJ
bibechana-24341	33	28	lp	lp	ADJ
bibechana-24341	33	29	-	-	PUNCT
bibechana-24341	33	30	sasakian	sasakian	NOUN
bibechana-24341	33	31	manifold	manifold	NOUN
bibechana-24341	33	32	the	the	DET
bibechana-24341	33	33	following	follow	VERB
bibechana-24341	33	34	relations	relation	NOUN
bibechana-24341	33	35	hold	hold	VERB
bibechana-24341	33	36			NOUN
bibechana-24341	33	37			NOUN
bibechana-24341	34	1			PROPN
bibechana-24341	34	2			NOUN
bibechana-24341	34	3			SYM
bibechana-24341	34	4			NOUN
bibechana-24341	34	5			SYM
bibechana-24341	34	6			NOUN
bibechana-24341	34	7			PUNCT
bibechana-24341	34	8			PROPN
bibechana-24341	34	9			PROPN
bibechana-24341	34	10	,	,	PUNCT
bibechana-24341	34	11	,	,	PUNCT
bibechana-24341	34	12	,	,	PUNCT
bibechana-24341	34	13	,	,	PUNCT
bibechana-24341	34	14	yzxgxzyg	yzxgxzyg	NOUN
bibechana-24341	34	15	zyxr	zyxr	NOUN
bibechana-24341	34	16			NOUN
bibechana-24341	34	17			NUM
bibechana-24341	34	18			PROPN
bibechana-24341	34	19	(	(	PUNCT
bibechana-24341	34	20	2.7	2.7	NUM
bibechana-24341	34	21	)	)	PUNCT
bibechana-24341	34	22			NOUN
bibechana-24341	34	23			PUNCT
bibechana-24341	34	24			NOUN
bibechana-24341	34	25			SYM
bibechana-24341	34	26			NOUN
bibechana-24341	34	27			PROPN
bibechana-24341	34	28	,	,	PUNCT
bibechana-24341	34	29	,	,	PUNCT
bibechana-24341	34	30	,	,	PUNCT
bibechana-24341	34	31	xyyxgyxr	xyyxgyxr	PROPN
bibechana-24341	34	32			PROPN
bibechana-24341	34	33			PROPN
bibechana-24341	34	34	(	(	PUNCT
bibechana-24341	34	35	2.8	2.8	NUM
bibechana-24341	34	36	)	)	PUNCT
bibechana-24341	34	37			NOUN
bibechana-24341	34	38			SYM
bibechana-24341	34	39			NOUN
bibechana-24341	34	40			SYM
bibechana-24341	34	41			NOUN
bibechana-24341	34	42			PROPN
bibechana-24341	34	43	,	,	PUNCT
bibechana-24341	34	44	,	,	PUNCT
bibechana-24341	34	45	yxxyyxr	yxxyyxr	NOUN
bibechana-24341	34	46			ADJ
bibechana-24341	34	47			PROPN
bibechana-24341	34	48	(	(	PUNCT
bibechana-24341	34	49	2.9	2.9	NUM
bibechana-24341	34	50	)	)	PUNCT
bibechana-24341	34	51			NOUN
bibechana-24341	34	52			SYM
bibechana-24341	34	53			NOUN
bibechana-24341	34	54	,2	,2	NOUN
bibechana-24341	34	55	,	,	PUNCT
bibechana-24341	34	56	xnxs	xnx	VERB
bibechana-24341	34	57			ADV
bibechana-24341	34	58			PROPN
bibechana-24341	34	59	(	(	PUNCT
bibechana-24341	34	60	2.10	2.10	NUM
bibechana-24341	34	61	)	)	PUNCT
bibechana-24341	34	62			NOUN
bibechana-24341	35	1			PUNCT
bibechana-24341	35	2			NOUN
bibechana-24341	35	3			SYM
bibechana-24341	35	4			NOUN
bibechana-24341	35	5			SYM
bibechana-24341	35	6			NOUN
bibechana-24341	35	7	,2	,2	NOUN
bibechana-24341	35	8	,	,	PUNCT
bibechana-24341	35	9	,	,	PUNCT
bibechana-24341	35	10	yxnyxsyxs	yxnyxsyxs	PROPN
bibechana-24341	35	11			PROPN
bibechana-24341	35	12			PROPN
bibechana-24341	35	13	(	(	PUNCT
bibechana-24341	35	14	2.11	2.11	NUM
bibechana-24341	35	15	)	)	PUNCT
bibechana-24341	35	16	for	for	ADP
bibechana-24341	35	17	any	any	DET
bibechana-24341	35	18	vector	vector	NOUN
bibechana-24341	35	19	fields	field	NOUN
bibechana-24341	35	20	,	,	PUNCT
bibechana-24341	35	21	,	,	PUNCT
bibechana-24341	35	22	,	,	PUNCT
bibechana-24341	35	23	zyx	zyx	PROPN
bibechana-24341	35	24	where	where	SCONJ
bibechana-24341	35	25	r	r	NOUN
bibechana-24341	35	26	and	and	CCONJ
bibechana-24341	35	27	s	s	NOUN
bibechana-24341	35	28	are	be	AUX
bibechana-24341	35	29	the	the	DET
bibechana-24341	35	30	riemannian	riemannian	ADJ
bibechana-24341	35	31	curvature	curvature	NOUN
bibechana-24341	35	32	tensor	tensor	NOUN
bibechana-24341	35	33	and	and	CCONJ
bibechana-24341	35	34	the	the	DET
bibechana-24341	35	35	ricci	ricci	PROPN
bibechana-24341	35	36	tensor	tensor	NOUN
bibechana-24341	35	37	of	of	ADP
bibechana-24341	35	38	the	the	DET
bibechana-24341	35	39	manifold	manifold	ADJ
bibechana-24341	35	40	,	,	PUNCT
bibechana-24341	35	41	respectively	respectively	ADV
bibechana-24341	35	42	[	[	X
bibechana-24341	35	43	11	11	NUM
bibechana-24341	35	44	]	]	PUNCT
bibechana-24341	35	45	.	.	PUNCT
bibechana-24341	36	1	let	let	VERB
bibechana-24341	36	2			NOUN
bibechana-24341	36	3	,,vg	,,vg	PROPN
bibechana-24341	36	4	be	be	AUX
bibechana-24341	36	5	a	a	DET
bibechana-24341	36	6	ricci	ricci	NOUN
bibechana-24341	36	7	soliton	soliton	NOUN
bibechana-24341	36	8	in	in	ADP
bibechana-24341	36	9	a	a	DET
bibechana-24341	36	10			PROPN
bibechana-24341	36	11	12	12	PROPN
bibechana-24341	36	12	n	n	ADJ
bibechana-24341	36	13	dimensional	dimensional	ADJ
bibechana-24341	36	14	lp	lp	ADJ
bibechana-24341	36	15	-	-	ADJ
bibechana-24341	36	16	sasakian	sasakian	ADJ
bibechana-24341	36	17	manifold	manifold	NOUN
bibechana-24341	36	18	.m	.m	NOUN
bibechana-24341	36	19	then	then	ADV
bibechana-24341	36	20	we	we	PRON
bibechana-24341	36	21	have	have	VERB
bibechana-24341	36	22			NOUN
bibechana-24341	36	23			PROPN
bibechana-24341	37	1			PROPN
bibechana-24341	37	2			NOUN
bibechana-24341	37	3			PROPN
bibechana-24341	37	4			NOUN
bibechana-24341	37	5	.	.	PUNCT
bibechana-24341	37	6	,	,	PUNCT
bibechana-24341	37	7	,	,	PUNCT
bibechana-24341	37	8	,	,	PUNCT
bibechana-24341	37	9	xgygyxgl	xgygyxgl	PROPN
bibechana-24341	37	10	yx	yx	PROPN
bibechana-24341	37	11			NOUN
bibechana-24341	37	12			PROPN
bibechana-24341	37	13			NOUN
bibechana-24341	37	14	using	use	VERB
bibechana-24341	37	15	(	(	PUNCT
bibechana-24341	37	16	2.4	2.4	NUM
bibechana-24341	37	17	)	)	PUNCT
bibechana-24341	37	18	and	and	CCONJ
bibechana-24341	37	19	(	(	PUNCT
bibechana-24341	37	20	2.6	2.6	NUM
bibechana-24341	37	21	)	)	PUNCT
bibechana-24341	37	22	in	in	ADP
bibechana-24341	37	23	this	this	DET
bibechana-24341	37	24	equation	equation	NOUN
bibechana-24341	37	25	we	we	PRON
bibechana-24341	37	26	get	get	VERB
bibechana-24341	37	27			NOUN
bibechana-24341	37	28			PROPN
bibechana-24341	37	29			PROPN
bibechana-24341	37	30			NOUN
bibechana-24341	37	31	.,2	.,2	PROPN
bibechana-24341	37	32	,	,	PUNCT
bibechana-24341	37	33	yxgyxgl	yxgyxgl	ADJ
bibechana-24341	37	34			PROPN
bibechana-24341	37	35			NOUN
bibechana-24341	37	36			NUM
bibechana-24341	37	37	(	(	PUNCT
bibechana-24341	37	38	2.12	2.12	NUM
bibechana-24341	37	39	)	)	PUNCT
bibechana-24341	37	40	from	from	ADP
bibechana-24341	37	41	(	(	PUNCT
bibechana-24341	37	42	1.1	1.1	NUM
bibechana-24341	37	43	)	)	PUNCT
bibechana-24341	37	44	and	and	CCONJ
bibechana-24341	37	45	(	(	PUNCT
bibechana-24341	37	46	2.12	2.12	NUM
bibechana-24341	37	47	)	)	PUNCT
bibechana-24341	37	48	we	we	PRON
bibechana-24341	37	49	obtain	obtain	VERB
bibechana-24341	37	50			NOUN
bibechana-24341	37	51			PUNCT
bibechana-24341	37	52			NOUN
bibechana-24341	37	53			PUNCT
bibechana-24341	37	54			NOUN
bibechana-24341	37	55			PROPN
bibechana-24341	37	56	}	}	PUNCT
bibechana-24341	37	57	,	,	PUNCT
bibechana-24341	37	58	,	,	PUNCT
bibechana-24341	37	59	,	,	PUNCT
bibechana-24341	37	60	{	{	PUNCT
bibechana-24341	37	61	,	,	PUNCT
bibechana-24341	37	62	yxgyxgyxs	yxgyxgyxs	PROPN
bibechana-24341	37	63			X
bibechana-24341	37	64			NUM
bibechana-24341	37	65	(	(	PUNCT
bibechana-24341	37	66	2.13	2.13	NUM
bibechana-24341	37	67	)	)	PUNCT
bibechana-24341	37	68			NOUN
bibechana-24341	37	69			PROPN
bibechana-24341	37	70	,	,	PUNCT
bibechana-24341	37	71	12	12	NUM
bibechana-24341	37	72			NOUN
bibechana-24341	37	73	nr	nr	PRON
bibechana-24341	37	74	provided	provide	VERB
bibechana-24341	37	75	.0	.0	PROPN
bibechana-24341	37	76	.	.	PUNCT
bibechana-24341	37	77	tr	tr	NUM
bibechana-24341	37	78	(	(	PUNCT
bibechana-24341	37	79	2.14	2.14	NUM
bibechana-24341	37	80	)	)	PUNCT
bibechana-24341	37	81	in	in	ADP
bibechana-24341	37	82	view	view	NOUN
bibechana-24341	37	83	of	of	ADP
bibechana-24341	37	84	(	(	PUNCT
bibechana-24341	37	85	2.1	2.1	NUM
bibechana-24341	37	86	)	)	PUNCT
bibechana-24341	37	87	,	,	PUNCT
bibechana-24341	37	88	(	(	PUNCT
bibechana-24341	37	89	2.3	2.3	NUM
bibechana-24341	37	90	)	)	PUNCT
bibechana-24341	37	91	and	and	CCONJ
bibechana-24341	37	92	(	(	PUNCT
bibechana-24341	37	93	2.13	2.13	NUM
bibechana-24341	37	94	)	)	PUNCT
bibechana-24341	37	95	we	we	PRON
bibechana-24341	37	96	get	get	VERB
bibechana-24341	37	97			NOUN
bibechana-24341	37	98			PROPN
bibechana-24341	37	99			NOUN
bibechana-24341	37	100	.	.	PROPN
bibechana-24341	37	101	,	,	PUNCT
bibechana-24341	37	102	xxs	xxs	PROPN
bibechana-24341	37	103			PROPN
bibechana-24341	37	104			PROPN
bibechana-24341	37	105	(	(	PUNCT
bibechana-24341	37	106	2.15	2.15	NUM
bibechana-24341	37	107	)	)	PUNCT
bibechana-24341	37	108	3	3	NUM
bibechana-24341	37	109	.	.	NOUN
bibechana-24341	37	110	results	result	NOUN
bibechana-24341	37	111	and	and	CCONJ
bibechana-24341	37	112	discussion	discussion	NOUN
bibechana-24341	37	113	now	now	ADV
bibechana-24341	37	114	,	,	PUNCT
bibechana-24341	37	115	we	we	PRON
bibechana-24341	37	116	have	have	VERB
bibechana-24341	37	117	the	the	DET
bibechana-24341	37	118	following	follow	VERB
bibechana-24341	37	119	results	result	NOUN
bibechana-24341	37	120	and	and	CCONJ
bibechana-24341	37	121	their	their	PRON
bibechana-24341	37	122	proofs	proof	NOUN
bibechana-24341	37	123	theorem	theorem	VERB
bibechana-24341	37	124	3.1	3.1	NUM
bibechana-24341	37	125	:	:	PUNCT
bibechana-24341	37	126	if	if	SCONJ
bibechana-24341	37	127	in	in	ADP
bibechana-24341	37	128	a	a	DET
bibechana-24341	37	129			PROPN
bibechana-24341	37	130	12	12	PROPN
bibechana-24341	37	131	n	n	PROPN
bibechana-24341	37	132	-dimensional	-dimensional	ADJ
bibechana-24341	37	133	lpsasakian	lpsasakian	ADJ
bibechana-24341	37	134	manifold	manifold	NOUN
bibechana-24341	37	135	the	the	DET
bibechana-24341	37	136	metric	metric	ADJ
bibechana-24341	37	137	g	g	PROPN
bibechana-24341	37	138	is	be	AUX
bibechana-24341	37	139	a	a	DET
bibechana-24341	37	140	ricci	ricci	NOUN
bibechana-24341	37	141	soliton	soliton	NOUN
bibechana-24341	37	142	and	and	CCONJ
bibechana-24341	37	143	v	v	NOUN
bibechana-24341	37	144	is	be	AUX
bibechana-24341	37	145	pointwise	pointwise	ADV
bibechana-24341	37	146	collinear	collinear	ADJ
bibechana-24341	37	147	with	with	ADP
bibechana-24341	37	148	,	,	PUNCT
bibechana-24341	37	149			NOUN
bibechana-24341	37	150	then	then	ADV
bibechana-24341	37	151	v	v	NOUN
bibechana-24341	37	152	is	be	AUX
bibechana-24341	37	153	a	a	DET
bibechana-24341	37	154	constant	constant	ADJ
bibechana-24341	37	155	multiple	multiple	NOUN
bibechana-24341	37	156	of	of	ADP
bibechana-24341	37	157			NOUN
bibechana-24341	37	158	and	and	CCONJ
bibechana-24341	37	159	g	g	PROPN
bibechana-24341	37	160	is	be	AUX
bibechana-24341	37	161	shrinking	shrink	VERB
bibechana-24341	37	162	.	.	PUNCT
bibechana-24341	38	1	proof	proof	NOUN
bibechana-24341	38	2	:	:	PUNCT
bibechana-24341	38	3	let	let	VERB
bibechana-24341	38	4	m	m	PRON
bibechana-24341	38	5	be	be	AUX
bibechana-24341	38	6	a	a	DET
bibechana-24341	38	7			PROPN
bibechana-24341	38	8	12	12	ADJ
bibechana-24341	38	9	n	n	PROPN
bibechana-24341	38	10	-dimensional	-dimensional	ADJ
bibechana-24341	38	11	lpsasakian	lpsasakian	ADJ
bibechana-24341	38	12	manifold	manifold	NOUN
bibechana-24341	38	13	with	with	ADP
bibechana-24341	38	14	lorentzian	lorentzian	ADJ
bibechana-24341	38	15	metric	metric	PROPN
bibechana-24341	38	16	.g	.g	PROPN
bibechana-24341	38	17	a	a	DET
bibechana-24341	38	18	ricci	ricci	PROPN
bibechana-24341	38	19	soliton	soliton	NOUN
bibechana-24341	38	20	is	be	AUX
bibechana-24341	38	21	a	a	DET
bibechana-24341	38	22	generalization	generalization	NOUN
bibechana-24341	38	23	of	of	ADP
bibechana-24341	38	24	an	an	DET
bibechana-24341	38	25	einstein	einstein	ADJ
bibechana-24341	38	26	metric	metric	NOUN
bibechana-24341	38	27	and	and	CCONJ
bibechana-24341	38	28	defined	define	VERB
bibechana-24341	38	29	on	on	ADP
bibechana-24341	38	30	a	a	DET
bibechana-24341	38	31	riemannian	riemannian	ADJ
bibechana-24341	38	32	manifold	manifold	ADJ
bibechana-24341	38	33			NOUN
bibechana-24341	38	34	gm	gm	NOUN
bibechana-24341	38	35	,	,	PUNCT
bibechana-24341	38	36	by	by	ADP
bibechana-24341	38	37	(	(	PUNCT
bibechana-24341	38	38	1.1	1.1	NUM
bibechana-24341	38	39	)	)	PUNCT
bibechana-24341	38	40	.	.	PUNCT
bibechana-24341	39	1	let	let	VERB
bibechana-24341	39	2	v	v	PART
bibechana-24341	39	3	be	be	AUX
bibechana-24341	39	4	pointwise	pointwise	ADV
bibechana-24341	39	5	collinear	collinear	ADJ
bibechana-24341	39	6	with	with	ADP
bibechana-24341	39	7			NOUN
bibechana-24341	39	8	i.e.	i.e.	X
bibechana-24341	39	9	,	,	PUNCT
bibechana-24341	39	10	cv	cv	NUM
bibechana-24341	39	11			VERB
bibechana-24341	39	12	where	where	SCONJ
bibechana-24341	39	13	c	c	NOUN
bibechana-24341	39	14	is	be	AUX
bibechana-24341	39	15	a	a	DET
bibechana-24341	39	16	function	function	NOUN
bibechana-24341	39	17	on	on	ADP
bibechana-24341	39	18	a	a	DET
bibechana-24341	39	19			PROPN
bibechana-24341	39	20	12	12	PROPN
bibechana-24341	39	21	n	n	PROPN
bibechana-24341	39	22	-dimensional	-dimensional	ADJ
bibechana-24341	39	23	lp	lp	ADJ
bibechana-24341	39	24	-	-	PUNCT
bibechana-24341	39	25	sasakian	sasakian	ADJ
bibechana-24341	39	26	mani	mani	NOUN
bibechana-24341	39	27	-	-	PUNCT
bibechana-24341	39	28	fold	fold	ADV
bibechana-24341	39	29	.	.	PUNCT
bibechana-24341	40	1	then	then	ADV
bibechana-24341	40	2	from	from	ADP
bibechana-24341	40	3	(	(	PUNCT
bibechana-24341	40	4	1.1	1.1	NUM
bibechana-24341	40	5	)	)	PUNCT
bibechana-24341	40	6	,	,	PUNCT
bibechana-24341	40	7	we	we	PRON
bibechana-24341	40	8	have	have	VERB
bibechana-24341	40	9	riddhi	riddhi	VERB
bibechana-24341	40	10	jung	jung	PROPN
bibechana-24341	40	11	shah	shah	PROPN
bibechana-24341	40	12	/	/	SYM
bibechana-24341	40	13	bibechana	bibechana	PROPN
bibechana-24341	40	14	17	17	NUM
bibechana-24341	40	15	(	(	PUNCT
bibechana-24341	40	16	2020	2020	NUM
bibechana-24341	40	17	)	)	PUNCT
bibechana-24341	40	18	110	110	NUM
bibechana-24341	40	19	-	-	SYM
bibechana-24341	40	20	116	116	NUM
bibechana-24341	40	21	112	112	NUM
bibechana-24341	40	22			NOUN
bibechana-24341	40	23			NOUN
bibechana-24341	41	1			PROPN
bibechana-24341	41	2			NOUN
bibechana-24341	41	3			SYM
bibechana-24341	41	4			NOUN
bibechana-24341	41	5			PROPN
bibechana-24341	41	6	.0,2,2	.0,2,2	INTJ
bibechana-24341	41	7	,	,	PUNCT
bibechana-24341	41	8			PROPN
bibechana-24341	41	9	yxgyxsyxgl	yxgyxsyxgl	PROPN
bibechana-24341	41	10	c	c	PROPN
bibechana-24341	41	11			X
bibechana-24341	41	12			X
bibechana-24341	41	13	(	(	PUNCT
bibechana-24341	41	14	3.1	3.1	NUM
bibechana-24341	41	15	)	)	PUNCT
bibechana-24341	41	16	further	further	ADJ
bibechana-24341	41	17	simplification	simplification	NOUN
bibechana-24341	41	18	and	and	CCONJ
bibechana-24341	41	19	use	use	NOUN
bibechana-24341	41	20	of	of	ADP
bibechana-24341	41	21	(	(	PUNCT
bibechana-24341	41	22	2.4	2.4	NUM
bibechana-24341	41	23	)	)	PUNCT
bibechana-24341	41	24	in	in	ADP
bibechana-24341	41	25	(	(	PUNCT
bibechana-24341	41	26	3.1	3.1	NUM
bibechana-24341	41	27	)	)	PUNCT
bibechana-24341	41	28	yields	yield	VERB
bibechana-24341	41	29			NOUN
bibechana-24341	41	30			SYM
bibechana-24341	41	31			NOUN
bibechana-24341	41	32			SYM
bibechana-24341	41	33			NOUN
bibechana-24341	41	34			SYM
bibechana-24341	41	35			NOUN
bibechana-24341	41	36			SYM
bibechana-24341	41	37			NOUN
bibechana-24341	41	38			SYM
bibechana-24341	41	39			NOUN
bibechana-24341	41	40			SYM
bibechana-24341	41	41			NOUN
bibechana-24341	41	42			SYM
bibechana-24341	41	43			NOUN
bibechana-24341	41	44			PROPN
bibechana-24341	41	45	.0,2,2	.0,2,2	PUNCT
bibechana-24341	41	46	,	,	PUNCT
bibechana-24341	41	47	,	,	PUNCT
bibechana-24341	41	48			NOUN
bibechana-24341	42	1			ADJ
bibechana-24341	42	2	yxgyxsxyc	yxgyxsxyc	NOUN
bibechana-24341	42	3	xycgyxcyxcg	xycgyxcyxcg	PROPN
bibechana-24341	42	4			PROPN
bibechana-24341	42	5			PROPN
bibechana-24341	42	6	(	(	PUNCT
bibechana-24341	42	7	3.2	3.2	NUM
bibechana-24341	42	8	)	)	PUNCT
bibechana-24341	42	9	by	by	ADP
bibechana-24341	42	10	virtue	virtue	NOUN
bibechana-24341	42	11	of	of	ADP
bibechana-24341	42	12	(	(	PUNCT
bibechana-24341	42	13	2.6	2.6	NUM
bibechana-24341	42	14	)	)	PUNCT
bibechana-24341	42	15	and	and	CCONJ
bibechana-24341	42	16	(	(	PUNCT
bibechana-24341	42	17	3.2	3.2	NUM
bibechana-24341	42	18	)	)	PUNCT
bibechana-24341	42	19	we	we	PRON
bibechana-24341	42	20	obtain	obtain	VERB
bibechana-24341	42	21			NOUN
bibechana-24341	42	22			PUNCT
bibechana-24341	42	23			NOUN
bibechana-24341	42	24			SYM
bibechana-24341	42	25			NOUN
bibechana-24341	42	26			SYM
bibechana-24341	42	27			NOUN
bibechana-24341	42	28			SYM
bibechana-24341	42	29			NOUN
bibechana-24341	42	30			SYM
bibechana-24341	42	31			NOUN
bibechana-24341	42	32			SYM
bibechana-24341	42	33			NOUN
bibechana-24341	42	34			NUM
bibechana-24341	42	35	.0,2,2	.0,2,2	PUNCT
bibechana-24341	42	36	,	,	PUNCT
bibechana-24341	42	37	2	2	NUM
bibechana-24341	42	38			PROPN
bibechana-24341	42	39			PROPN
bibechana-24341	42	40	yxgyxs	yxgyxs	PROPN
bibechana-24341	42	41	xycyxcyxcg	xycyxcyxcg	PROPN
bibechana-24341	42	42			ADJ
bibechana-24341	42	43			NOUN
bibechana-24341	42	44	(	(	PUNCT
bibechana-24341	42	45	3.3	3.3	NUM
bibechana-24341	42	46	)	)	PUNCT
bibechana-24341	42	47	putting	put	VERB
bibechana-24341	42	48	y	y	PRON
bibechana-24341	42	49	in	in	ADP
bibechana-24341	42	50	(	(	PUNCT
bibechana-24341	42	51	3.3	3.3	NUM
bibechana-24341	42	52	)	)	PUNCT
bibechana-24341	42	53	and	and	CCONJ
bibechana-24341	42	54	using	use	VERB
bibechana-24341	42	55	(	(	PUNCT
bibechana-24341	42	56	2.1	2.1	NUM
bibechana-24341	42	57	)	)	PUNCT
bibechana-24341	42	58	,	,	PUNCT
bibechana-24341	42	59	(	(	PUNCT
bibechana-24341	42	60	2.3	2.3	NUM
bibechana-24341	42	61	)	)	PUNCT
bibechana-24341	42	62	and	and	CCONJ
bibechana-24341	42	63	(	(	PUNCT
bibechana-24341	42	64	2.10	2.10	NUM
bibechana-24341	42	65	)	)	PUNCT
bibechana-24341	42	66	we	we	PRON
bibechana-24341	42	67	get	get	VERB
bibechana-24341	42	68			PROPN
bibechana-24341	42	69			ADJ
bibechana-24341	42	70			PROPN
bibechana-24341	42	71			PROPN
bibechana-24341	42	72			PROPN
bibechana-24341	42	73			NOUN
bibechana-24341	42	74			PROPN
bibechana-24341	42	75	.024	.024	NUM
bibechana-24341	42	76			PROPN
bibechana-24341	42	77	xcxnc	xcxnc	NOUN
bibechana-24341	42	78			PROPN
bibechana-24341	42	79	(	(	PUNCT
bibechana-24341	42	80	3.4	3.4	NUM
bibechana-24341	42	81	)	)	PUNCT
bibechana-24341	42	82	taking	take	VERB
bibechana-24341	42	83	x	x	PRON
bibechana-24341	42	84	in	in	ADP
bibechana-24341	42	85	(	(	PUNCT
bibechana-24341	42	86	3.4	3.4	NUM
bibechana-24341	42	87	)	)	PUNCT
bibechana-24341	42	88	gives	give	VERB
bibechana-24341	42	89			NOUN
bibechana-24341	42	90	.2	.2	PROPN
bibechana-24341	42	91			PROPN
bibechana-24341	42	92			NUM
bibechana-24341	42	93	nc	nc	PROPN
bibechana-24341	42	94	(	(	PUNCT
bibechana-24341	42	95	3.5	3.5	NUM
bibechana-24341	42	96	)	)	PUNCT
bibechana-24341	42	97	in	in	ADP
bibechana-24341	42	98	view	view	NOUN
bibechana-24341	42	99	of	of	ADP
bibechana-24341	42	100	(	(	PUNCT
bibechana-24341	42	101	3.4	3.4	NUM
bibechana-24341	42	102	)	)	PUNCT
bibechana-24341	42	103	and	and	CCONJ
bibechana-24341	42	104	(	(	PUNCT
bibechana-24341	42	105	3.5	3.5	NUM
bibechana-24341	42	106	)	)	PUNCT
bibechana-24341	42	107	we	we	PRON
bibechana-24341	42	108	obtain	obtain	VERB
bibechana-24341	42	109			NOUN
bibechana-24341	42	110			SYM
bibechana-24341	42	111			NOUN
bibechana-24341	42	112	,2	,2	PROPN
bibechana-24341	42	113	xnxc	xnxc	PROPN
bibechana-24341	43	1			PROPN
bibechana-24341	43	2	which	which	PRON
bibechana-24341	43	3	implies	imply	VERB
bibechana-24341	43	4			NOUN
bibechana-24341	43	5			PROPN
bibechana-24341	43	6	.2	.2	NUM
bibechana-24341	43	7			PROPN
bibechana-24341	43	8	ndc	ndc	PROPN
bibechana-24341	43	9	(	(	PUNCT
bibechana-24341	43	10	3.6	3.6	NUM
bibechana-24341	43	11	)	)	PUNCT
bibechana-24341	43	12	taking	take	VERB
bibechana-24341	43	13	exterior	exterior	ADJ
bibechana-24341	43	14	derivative	derivative	NOUN
bibechana-24341	43	15	on	on	ADP
bibechana-24341	43	16	both	both	DET
bibechana-24341	43	17	sides	side	NOUN
bibechana-24341	43	18	of	of	ADP
bibechana-24341	43	19	(	(	PUNCT
bibechana-24341	43	20	3.6	3.6	NUM
bibechana-24341	43	21	)	)	PUNCT
bibechana-24341	43	22	we	we	PRON
bibechana-24341	43	23	get	get	VERB
bibechana-24341	43	24			NOUN
bibechana-24341	43	25			PROPN
bibechana-24341	43	26	,	,	PUNCT
bibechana-24341	43	27	02	02	NUM
bibechana-24341	43	28			PROPN
bibechana-24341	43	29			NUM
bibechana-24341	43	30	dn	dn	PROPN
bibechana-24341	43	31	(	(	PUNCT
bibechana-24341	43	32	3.7	3.7	NUM
bibechana-24341	43	33	)	)	PUNCT
bibechana-24341	43	34	since	since	SCONJ
bibechana-24341	43	35	,	,	PUNCT
bibechana-24341	43	36	0d	0d	NOUN
bibechana-24341	43	37	we	we	PRON
bibechana-24341	43	38	have	have	VERB
bibechana-24341	43	39	.02	.02	NUM
bibechana-24341	43	40			NOUN
bibechana-24341	43	41	n	n	NOUN
bibechana-24341	43	42	hence	hence	ADV
bibechana-24341	43	43	c	c	PROPN
bibechana-24341	43	44	is	be	AUX
bibechana-24341	43	45	constant	constant	ADJ
bibechana-24341	43	46	from	from	ADP
bibechana-24341	43	47	(	(	PUNCT
bibechana-24341	43	48	3.6	3.6	NUM
bibechana-24341	43	49	)	)	PUNCT
bibechana-24341	43	50	.	.	PUNCT
bibechana-24341	44	1	consequently	consequently	ADV
bibechana-24341	44	2	,	,	PUNCT
bibechana-24341	44	3	the	the	DET
bibechana-24341	44	4	equation	equation	NOUN
bibechana-24341	44	5	(	(	PUNCT
bibechana-24341	44	6	3.3	3.3	NUM
bibechana-24341	44	7	)	)	PUNCT
bibechana-24341	44	8	reduces	reduce	VERB
bibechana-24341	44	9	to	to	ADP
bibechana-24341	44	10			NOUN
bibechana-24341	44	11			PUNCT
bibechana-24341	44	12			NOUN
bibechana-24341	44	13			SYM
bibechana-24341	44	14			NOUN
bibechana-24341	44	15			ADJ
bibechana-24341	44	16	.	.	NOUN
bibechana-24341	44	17	,	,	PUNCT
bibechana-24341	44	18	,	,	PUNCT
bibechana-24341	44	19	,	,	PUNCT
bibechana-24341	44	20	yxcgyxgyxs	yxcgyxgyxs	PROPN
bibechana-24341	44	21			X
bibechana-24341	44	22			NUM
bibechana-24341	44	23	(	(	PUNCT
bibechana-24341	44	24	3.8	3.8	NUM
bibechana-24341	44	25	)	)	PUNCT
bibechana-24341	44	26	comparing	compare	VERB
bibechana-24341	44	27	(	(	PUNCT
bibechana-24341	44	28	2.13	2.13	NUM
bibechana-24341	44	29	)	)	PUNCT
bibechana-24341	44	30	and	and	CCONJ
bibechana-24341	44	31	(	(	PUNCT
bibechana-24341	44	32	3.8	3.8	NUM
bibechana-24341	44	33	)	)	PUNCT
bibechana-24341	44	34	we	we	PRON
bibechana-24341	44	35	get	get	AUX
bibechana-24341	44	36	.1c	.1c	VERB
bibechana-24341	44	37	again	again	ADV
bibechana-24341	44	38	,	,	PUNCT
bibechana-24341	44	39	02	02	NUM
bibechana-24341	44	40			NOUN
bibechana-24341	44	41	n	n	NOUN
bibechana-24341	44	42	implies	imply	VERB
bibechana-24341	44	43	that	that	SCONJ
bibechana-24341	44	44	02	02	NUM
bibechana-24341	44	45			PROPN
bibechana-24341	44	46	n	n	PROPN
bibechana-24341	44	47	for	for	ADP
bibechana-24341	44	48	.1n	.1n	PUNCT
bibechana-24341	44	49	thus	thus	ADV
bibechana-24341	44	50	the	the	DET
bibechana-24341	44	51	ricci	ricci	PROPN
bibechana-24341	44	52	soliton	soliton	NOUN
bibechana-24341	44	53	is	be	AUX
bibechana-24341	44	54	shrinking	shrink	VERB
bibechana-24341	44	55	.	.	PUNCT
bibechana-24341	45	1	this	this	PRON
bibechana-24341	45	2	proves	prove	VERB
bibechana-24341	45	3	the	the	DET
bibechana-24341	45	4	theorem	theorem	PROPN
bibechana-24341	45	5	.	.	PUNCT
bibechana-24341	45	6	theorem	theorem	ADJ
bibechana-24341	45	7	3.2	3.2	NUM
bibechana-24341	45	8	:	:	PUNCT
bibechana-24341	45	9	a	a	DET
bibechana-24341	45	10	ricci	ricci	PROPN
bibechana-24341	45	11	soliton	soliton	NOUN
bibechana-24341	45	12	in	in	ADP
bibechana-24341	45	13	a	a	DET
bibechana-24341	45	14	2	2	NUM
bibechana-24341	45	15	w	w	NOUN
bibechana-24341	45	16	-semisymmetric	-semisymmetric	ADJ
bibechana-24341	45	17	lp	lp	ADJ
bibechana-24341	45	18	-	-	ADJ
bibechana-24341	45	19	sasakian	sasakian	ADJ
bibechana-24341	45	20	manifold	manifold	NOUN
bibechana-24341	45	21	of	of	ADP
bibechana-24341	45	22	dimension	dimension	NOUN
bibechana-24341	45	23			PROPN
bibechana-24341	45	24	12	12	PROPN
bibechana-24341	46	1	n	n	PROPN
bibechana-24341	46	2	is	be	AUX
bibechana-24341	46	3	shrinking	shrink	VERB
bibechana-24341	46	4	.	.	PUNCT
bibechana-24341	47	1	proof	proof	NOUN
bibechana-24341	47	2	:	:	PUNCT
bibechana-24341	47	3	let	let	VERB
bibechana-24341	47	4	m	m	PRON
bibechana-24341	47	5	be	be	AUX
bibechana-24341	47	6	a	a	DET
bibechana-24341	47	7			PROPN
bibechana-24341	47	8	12	12	ADJ
bibechana-24341	47	9	n	n	PROPN
bibechana-24341	47	10	-dimensional	-dimensional	ADJ
bibechana-24341	47	11	lpsasakian	lpsasakian	ADJ
bibechana-24341	47	12	manifold	manifold	NOUN
bibechana-24341	47	13	admitting	admit	VERB
bibechana-24341	47	14	a	a	DET
bibechana-24341	47	15	ricci	ricci	PROPN
bibechana-24341	47	16	soliton	soliton	PROPN
bibechana-24341	47	17			PROPN
bibechana-24341	47	18	.	.	PUNCT
bibechana-24341	47	19	,	,	PUNCT
bibechana-24341	47	20	,	,	PUNCT
bibechana-24341	47	21	vg	vg	VERB
bibechana-24341	47	22	the	the	DET
bibechana-24341	47	23	2	2	NUM
bibechana-24341	47	24	w	w	NOUN
bibechana-24341	47	25	-curvature	-curvature	PROPN
bibechana-24341	47	26	tensor	tensor	NOUN
bibechana-24341	47	27	in	in	ADP
bibechana-24341	47	28	m	m	PROPN
bibechana-24341	47	29	is	be	AUX
bibechana-24341	47	30	defined	define	VERB
bibechana-24341	47	31	by	by	ADP
bibechana-24341	47	32	[	[	X
bibechana-24341	47	33	14	14	NUM
bibechana-24341	47	34	]	]	X
bibechana-24341	47	35			NOUN
bibechana-24341	48	1			SYM
bibechana-24341	48	2			NOUN
bibechana-24341	48	3			SYM
bibechana-24341	48	4			NOUN
bibechana-24341	48	5			SYM
bibechana-24341	48	6			NOUN
bibechana-24341	48	7			SYM
bibechana-24341	48	8			NOUN
bibechana-24341	48	9			PUNCT
bibechana-24341	48	10			NOUN
bibechana-24341	49	1			PROPN
bibechana-24341	49	2	]	]	X
bibechana-24341	49	3	,	,	PUNCT
bibechana-24341	49	4	,	,	PUNCT
bibechana-24341	49	5	,	,	PUNCT
bibechana-24341	49	6	,	,	PUNCT
bibechana-24341	49	7	,	,	PUNCT
bibechana-24341	49	8	[	[	PUNCT
bibechana-24341	49	9	2	2	NUM
bibechana-24341	49	10	1	1	NUM
bibechana-24341	49	11	,	,	PUNCT
bibechana-24341	49	12	,	,	PUNCT
bibechana-24341	49	13	,	,	PUNCT
bibechana-24341	49	14	,	,	PUNCT
bibechana-24341	49	15	,	,	PUNCT
bibechana-24341	49	16	,	,	PUNCT
bibechana-24341	49	17	2	2	NUM
bibechana-24341	49	18	txriczyg	txriczyg	NOUN
bibechana-24341	49	19	tyriczxg	tyriczxg	X
bibechana-24341	49	20	n	n	PRON
bibechana-24341	49	21	tzyxrtzyxw	tzyxrtzyxw	VERB
bibechana-24341	49	22			PROPN
bibechana-24341	49	23			ADV
bibechana-24341	49	24	this	this	PRON
bibechana-24341	49	25	can	can	AUX
bibechana-24341	49	26	be	be	AUX
bibechana-24341	49	27	written	write	VERB
bibechana-24341	49	28	as	as	ADP
bibechana-24341	49	29			NOUN
bibechana-24341	50	1			PROPN
bibechana-24341	50	2			NOUN
bibechana-24341	50	3			SYM
bibechana-24341	50	4			NOUN
bibechana-24341	50	5			SYM
bibechana-24341	50	6			NOUN
bibechana-24341	50	7			PROPN
bibechana-24341	50	8	]	]	PUNCT
bibechana-24341	50	9	.	.	PUNCT
bibechana-24341	50	10	,	,	PUNCT
bibechana-24341	50	11	,	,	PUNCT
bibechana-24341	50	12	[	[	PUNCT
bibechana-24341	50	13	2	2	NUM
bibechana-24341	50	14	1	1	NUM
bibechana-24341	50	15	,	,	PUNCT
bibechana-24341	50	16	,	,	PUNCT
bibechana-24341	50	17	2	2	NUM
bibechana-24341	50	18	qxzyg	qxzyg	NOUN
bibechana-24341	50	19	qyzxg	qyzxg	VERB
bibechana-24341	50	20	n	n	PRON
bibechana-24341	50	21	zyxrzyxw	zyxrzyxw	X
bibechana-24341	50	22			PROPN
bibechana-24341	50	23			PROPN
bibechana-24341	50	24	(	(	PUNCT
bibechana-24341	50	25	3.9	3.9	NUM
bibechana-24341	50	26	)	)	PUNCT
bibechana-24341	50	27	putting	put	VERB
bibechana-24341	50	28	x	x	PROPN
bibechana-24341	50	29	in	in	ADP
bibechana-24341	50	30	(	(	PUNCT
bibechana-24341	50	31	3.9	3.9	NUM
bibechana-24341	50	32	)	)	PUNCT
bibechana-24341	50	33	and	and	CCONJ
bibechana-24341	50	34	using	use	VERB
bibechana-24341	50	35	(	(	PUNCT
bibechana-24341	50	36	2.3	2.3	NUM
bibechana-24341	50	37	)	)	PUNCT
bibechana-24341	50	38	and	and	CCONJ
bibechana-24341	50	39	(	(	PUNCT
bibechana-24341	50	40	2.8	2.8	NUM
bibechana-24341	50	41	)	)	PUNCT
bibechana-24341	50	42	we	we	PRON
bibechana-24341	50	43	get	get	VERB
bibechana-24341	50	44			NOUN
bibechana-24341	50	45			PUNCT
bibechana-24341	50	46			NOUN
bibechana-24341	51	1			SYM
bibechana-24341	51	2			NOUN
bibechana-24341	51	3			SYM
bibechana-24341	51	4			NOUN
bibechana-24341	51	5			SYM
bibechana-24341	51	6			NOUN
bibechana-24341	51	7			PROPN
bibechana-24341	51	8	]	]	PUNCT
bibechana-24341	51	9	.	.	PUNCT
bibechana-24341	51	10	,	,	PUNCT
bibechana-24341	51	11	[	[	PUNCT
bibechana-24341	51	12	2	2	NUM
bibechana-24341	51	13	1	1	NUM
bibechana-24341	51	14	,	,	PUNCT
bibechana-24341	51	15	,	,	PUNCT
bibechana-24341	51	16	2	2	NUM
bibechana-24341	51	17			NOUN
bibechana-24341	51	18			NOUN
bibechana-24341	51	19	qzygqyz	qzygqyz	NOUN
bibechana-24341	51	20	n	n	CCONJ
bibechana-24341	51	21	yzzygzyw	yzzygzyw	ADJ
bibechana-24341	51	22			PROPN
bibechana-24341	51	23			PROPN
bibechana-24341	51	24	(	(	PUNCT
bibechana-24341	51	25	3.10	3.10	NUM
bibechana-24341	51	26	)	)	PUNCT
bibechana-24341	51	27	taking	take	VERB
bibechana-24341	51	28	inner	inner	ADJ
bibechana-24341	51	29	product	product	NOUN
bibechana-24341	51	30	on	on	ADP
bibechana-24341	51	31	both	both	DET
bibechana-24341	51	32	sides	side	NOUN
bibechana-24341	51	33	of	of	ADP
bibechana-24341	51	34	(	(	PUNCT
bibechana-24341	51	35	3.9	3.9	NUM
bibechana-24341	51	36	)	)	PUNCT
bibechana-24341	51	37	with	with	ADP
bibechana-24341	51	38			NOUN
bibechana-24341	51	39	and	and	CCONJ
bibechana-24341	51	40	using	use	VERB
bibechana-24341	51	41	(	(	PUNCT
bibechana-24341	51	42	2.7	2.7	NUM
bibechana-24341	51	43	)	)	PUNCT
bibechana-24341	51	44	and	and	CCONJ
bibechana-24341	51	45	(	(	PUNCT
bibechana-24341	51	46	2.15	2.15	NUM
bibechana-24341	51	47	)	)	PUNCT
bibechana-24341	51	48	we	we	PRON
bibechana-24341	51	49	obtain	obtain	VERB
bibechana-24341	51	50			NOUN
bibechana-24341	51	51			NOUN
bibechana-24341	52	1			PROPN
bibechana-24341	52	2			NOUN
bibechana-24341	52	3			SYM
bibechana-24341	52	4			NOUN
bibechana-24341	52	5			SYM
bibechana-24341	52	6			NOUN
bibechana-24341	52	7			PUNCT
bibechana-24341	52	8			NOUN
bibechana-24341	52	9			PROPN
bibechana-24341	52	10	]	]	X
bibechana-24341	52	11	.	.	PUNCT
bibechana-24341	53	1	[	[	PUNCT
bibechana-24341	53	2	2	2	NUM
bibechana-24341	53	3	1	1	NUM
bibechana-24341	53	4	,	,	PUNCT
bibechana-24341	53	5	,	,	PUNCT
bibechana-24341	53	6	,	,	PUNCT
bibechana-24341	53	7	2	2	NUM
bibechana-24341	53	8	yzxg	yzxg	NOUN
bibechana-24341	53	9	xzyg	xzyg	NOUN
bibechana-24341	53	10	n	n	PROPN
bibechana-24341	53	11	zyxw	zyxw	X
bibechana-24341	53	12			PUNCT
bibechana-24341	53	13			CCONJ
bibechana-24341	53	14			X
bibechana-24341	53	15			PUNCT
bibechana-24341	53	16			PROPN
bibechana-24341	53	17			NUM
bibechana-24341	53	18			NOUN
bibechana-24341	53	19			PRON
bibechana-24341	53	20			PROPN
bibechana-24341	54	1			PROPN
bibechana-24341	54	2			NOUN
bibechana-24341	54	3			PROPN
bibechana-24341	54	4	(	(	PUNCT
bibechana-24341	54	5	3.11	3.11	NUM
bibechana-24341	54	6	)	)	PUNCT
bibechana-24341	54	7	suppose	suppose	VERB
bibechana-24341	54	8	that	that	SCONJ
bibechana-24341	54	9	the	the	DET
bibechana-24341	54	10	condition	condition	NOUN
bibechana-24341	54	11			NOUN
bibechana-24341	54	12			SYM
bibechana-24341	54	13			NOUN
bibechana-24341	54	14			PROPN
bibechana-24341	54	15	0	0	NUM
bibechana-24341	54	16	,	,	PUNCT
bibechana-24341	54	17	.	.	PUNCT
bibechana-24341	54	18	,	,	PUNCT
bibechana-24341	54	19	2	2	X
bibechana-24341	54	20	uzywxr	uzywxr	PUNCT
bibechana-24341	54	21			NOUN
bibechana-24341	54	22	holds	hold	VERB
bibechana-24341	54	23	in	in	ADP
bibechana-24341	54	24	.m	.m	NOUN
bibechana-24341	54	25	then	then	ADV
bibechana-24341	54	26	by	by	ADP
bibechana-24341	54	27	definition	definition	NOUN
bibechana-24341	54	28	we	we	PRON
bibechana-24341	54	29	have	have	VERB
bibechana-24341	54	30			NOUN
bibechana-24341	54	31			PUNCT
bibechana-24341	54	32			NOUN
bibechana-24341	54	33			PUNCT
bibechana-24341	54	34			NOUN
bibechana-24341	55	1			NOUN
bibechana-24341	56	1			PUNCT
bibechana-24341	56	2			PROPN
bibechana-24341	56	3			NOUN
bibechana-24341	57	1			PUNCT
bibechana-24341	57	2			NOUN
bibechana-24341	57	3			PUNCT
bibechana-24341	57	4			NOUN
bibechana-24341	57	5			PROPN
bibechana-24341	57	6	0	0	NUM
bibechana-24341	57	7	,	,	PUNCT
bibechana-24341	57	8	,	,	PUNCT
bibechana-24341	57	9	,	,	PUNCT
bibechana-24341	57	10	,	,	PUNCT
bibechana-24341	57	11	,	,	PUNCT
bibechana-24341	57	12	,	,	PUNCT
bibechana-24341	57	13	,	,	PUNCT
bibechana-24341	57	14	,	,	PUNCT
bibechana-24341	57	15	22	22	NUM
bibechana-24341	57	16	22	22	NUM
bibechana-24341	57	17			NUM
bibechana-24341	57	18			NOUN
bibechana-24341	57	19			X
bibechana-24341	57	20	uxrzywuzxryw	uxrzywuzxryw	ADJ
bibechana-24341	57	21	uzyxrwuzywxr	uzyxrwuzywxr	PROPN
bibechana-24341	57	22			NOUN
bibechana-24341	57	23			X
bibechana-24341	57	24	(	(	PUNCT
bibechana-24341	57	25	3.12	3.12	NUM
bibechana-24341	57	26	)	)	PUNCT
bibechana-24341	57	27	for	for	ADP
bibechana-24341	57	28	all	all	DET
bibechana-24341	57	29	vector	vector	NOUN
bibechana-24341	57	30	fields	field	NOUN
bibechana-24341	57	31	uzyx	uzyx	NOUN
bibechana-24341	57	32	,	,	PUNCT
bibechana-24341	57	33	,	,	PUNCT
bibechana-24341	57	34	,	,	PUNCT
bibechana-24341	57	35	on	on	ADP
bibechana-24341	57	36	.m	.m	NOUN
bibechana-24341	57	37	in	in	ADP
bibechana-24341	57	38	view	view	NOUN
bibechana-24341	57	39	of	of	ADP
bibechana-24341	57	40	(	(	PUNCT
bibechana-24341	57	41	2.8	2.8	NUM
bibechana-24341	57	42	)	)	PUNCT
bibechana-24341	57	43	and	and	CCONJ
bibechana-24341	57	44	(	(	PUNCT
bibechana-24341	57	45	3.12	3.12	NUM
bibechana-24341	57	46	)	)	PUNCT
bibechana-24341	57	47	we	we	PRON
bibechana-24341	57	48	get	get	VERB
bibechana-24341	57	49			NOUN
bibechana-24341	57	50			PROPN
bibechana-24341	57	51			PROPN
bibechana-24341	57	52			PROPN
bibechana-24341	57	53			NOUN
bibechana-24341	58	1			PUNCT
bibechana-24341	58	2			NOUN
bibechana-24341	58	3			SYM
bibechana-24341	58	4			NOUN
bibechana-24341	58	5			SYM
bibechana-24341	58	6			NOUN
bibechana-24341	58	7			SYM
bibechana-24341	58	8			NOUN
bibechana-24341	58	9			SYM
bibechana-24341	58	10			NOUN
bibechana-24341	58	11			SYM
bibechana-24341	58	12			NOUN
bibechana-24341	58	13			SYM
bibechana-24341	58	14			NOUN
bibechana-24341	58	15			SYM
bibechana-24341	58	16			NOUN
bibechana-24341	58	17			SYM
bibechana-24341	58	18			NOUN
bibechana-24341	58	19			SYM
bibechana-24341	58	20			NOUN
bibechana-24341	58	21			SYM
bibechana-24341	58	22			NOUN
bibechana-24341	58	23			SYM
bibechana-24341	58	24			NOUN
bibechana-24341	58	25			PROPN
bibechana-24341	58	26	.0	.0	NUM
bibechana-24341	58	27	,	,	PUNCT
bibechana-24341	58	28	,	,	PUNCT
bibechana-24341	58	29	,	,	PUNCT
bibechana-24341	58	30	,	,	PUNCT
bibechana-24341	58	31	,	,	PUNCT
bibechana-24341	58	32	,	,	PUNCT
bibechana-24341	58	33	,	,	PUNCT
bibechana-24341	58	34	,	,	PUNCT
bibechana-24341	58	35	,	,	PUNCT
bibechana-24341	58	36	,	,	PUNCT
bibechana-24341	58	37	,	,	PUNCT
bibechana-24341	58	38	,	,	PUNCT
bibechana-24341	58	39	22	22	NUM
bibechana-24341	58	40	22	22	NUM
bibechana-24341	58	41	22	22	NUM
bibechana-24341	58	42	22	22	NUM
bibechana-24341	58	43			NOUN
bibechana-24341	58	44			PROPN
bibechana-24341	58	45			PROPN
bibechana-24341	58	46			PROPN
bibechana-24341	58	47			PROPN
bibechana-24341	58	48	xzywuzywuxg	xzywuzywuxg	VERB
bibechana-24341	58	49	uxywzuywzxg	uxywzuywzxg	ADJ
bibechana-24341	58	50	uzxwyuzwyxg	uzxwyuzwyxg	PROPN
bibechana-24341	58	51	xuzywuzywxg	xuzywuzywxg	NOUN
bibechana-24341	58	52			PUNCT
bibechana-24341	58	53			PUNCT
bibechana-24341	58	54			PUNCT
bibechana-24341	58	55			ADV
bibechana-24341	58	56	(	(	PUNCT
bibechana-24341	58	57	3.13	3.13	NUM
bibechana-24341	58	58	)	)	PUNCT
bibechana-24341	58	59	taking	take	VERB
bibechana-24341	58	60	inner	inner	ADJ
bibechana-24341	58	61	product	product	NOUN
bibechana-24341	58	62	on	on	ADP
bibechana-24341	58	63	both	both	DET
bibechana-24341	58	64	sides	side	NOUN
bibechana-24341	58	65	of	of	ADP
bibechana-24341	58	66	(	(	PUNCT
bibechana-24341	58	67	3.13	3.13	NUM
bibechana-24341	58	68	)	)	PUNCT
bibechana-24341	58	69	with	with	ADP
bibechana-24341	58	70			NOUN
bibechana-24341	58	71	and	and	CCONJ
bibechana-24341	58	72	using	use	VERB
bibechana-24341	58	73	(	(	PUNCT
bibechana-24341	58	74	2.1	2.1	NUM
bibechana-24341	58	75	)	)	PUNCT
bibechana-24341	58	76	we	we	PRON
bibechana-24341	58	77	obtain	obtain	VERB
bibechana-24341	58	78			NOUN
bibechana-24341	58	79			PROPN
bibechana-24341	59	1			PROPN
bibechana-24341	59	2			PROPN
bibechana-24341	59	3			NOUN
bibechana-24341	60	1			PUNCT
bibechana-24341	60	2			NOUN
bibechana-24341	60	3			SYM
bibechana-24341	60	4			NOUN
bibechana-24341	60	5			PUNCT
bibechana-24341	60	6			NOUN
bibechana-24341	61	1			NOUN
bibechana-24341	62	1			PUNCT
bibechana-24341	62	2			NOUN
bibechana-24341	62	3			PUNCT
bibechana-24341	62	4			NOUN
bibechana-24341	62	5			NOUN
bibechana-24341	63	1			PUNCT
bibechana-24341	63	2			NOUN
bibechana-24341	63	3			PUNCT
bibechana-24341	63	4			NOUN
bibechana-24341	63	5			NOUN
bibechana-24341	64	1			PUNCT
bibechana-24341	64	2			NOUN
bibechana-24341	64	3			PUNCT
bibechana-24341	64	4			NOUN
bibechana-24341	64	5			NOUN
bibechana-24341	65	1			PUNCT
bibechana-24341	65	2			NOUN
bibechana-24341	65	3			PUNCT
bibechana-24341	65	4			NOUN
bibechana-24341	65	5			NOUN
bibechana-24341	66	1			PUNCT
bibechana-24341	66	2			NOUN
bibechana-24341	66	3			PUNCT
bibechana-24341	66	4			NOUN
bibechana-24341	66	5			NOUN
bibechana-24341	66	6			PROPN
bibechana-24341	66	7	.0	.0	NUM
bibechana-24341	66	8	,	,	PUNCT
bibechana-24341	66	9	,	,	PUNCT
bibechana-24341	66	10	,	,	PUNCT
bibechana-24341	66	11	,	,	PUNCT
bibechana-24341	66	12	,	,	PUNCT
bibechana-24341	66	13	,	,	PUNCT
bibechana-24341	66	14	,	,	PUNCT
bibechana-24341	66	15	,	,	PUNCT
bibechana-24341	66	16	,	,	PUNCT
bibechana-24341	66	17	,	,	PUNCT
bibechana-24341	66	18	,	,	PUNCT
bibechana-24341	66	19	,	,	PUNCT
bibechana-24341	66	20	22	22	NUM
bibechana-24341	66	21	22	22	NUM
bibechana-24341	66	22	22	22	NUM
bibechana-24341	66	23	22	22	NUM
bibechana-24341	66	24			ADJ
bibechana-24341	66	25			PROPN
bibechana-24341	66	26			PROPN
bibechana-24341	66	27			PROPN
bibechana-24341	66	28			NOUN
bibechana-24341	66	29	xzywuzywuxg	xzywuzywuxg	NOUN
bibechana-24341	66	30	uxywzuywzxg	uxywzuywzxg	ADJ
bibechana-24341	66	31	uzxwyuzwyxg	uzxwyuzwyxg	PROPN
bibechana-24341	66	32	xuzywxuzywg	xuzywxuzywg	PROPN
bibechana-24341	66	33			NOUN
bibechana-24341	66	34			NOUN
bibechana-24341	66	35			NOUN
bibechana-24341	66	36			NOUN
bibechana-24341	66	37	(	(	PUNCT
bibechana-24341	66	38	314	314	NUM
bibechana-24341	66	39	)	)	PUNCT
bibechana-24341	66	40	in	in	ADP
bibechana-24341	66	41	view	view	NOUN
bibechana-24341	66	42	of	of	ADP
bibechana-24341	66	43	(	(	PUNCT
bibechana-24341	66	44	3.9	3.9	NUM
bibechana-24341	66	45	)	)	PUNCT
bibechana-24341	66	46	,	,	PUNCT
bibechana-24341	66	47	(	(	PUNCT
bibechana-24341	66	48	3.11	3.11	NUM
bibechana-24341	66	49	)	)	PUNCT
bibechana-24341	66	50	and	and	CCONJ
bibechana-24341	66	51	(	(	PUNCT
bibechana-24341	66	52	3.14	3.14	NUM
bibechana-24341	66	53	)	)	PUNCT
bibechana-24341	66	54	,	,	PUNCT
bibechana-24341	66	55	we	we	PRON
bibechana-24341	66	56	get	get	VERB
bibechana-24341	66	57			NOUN
bibechana-24341	66	58			PROPN
bibechana-24341	66	59			PROPN
bibechana-24341	66	60			NOUN
bibechana-24341	66	61			SYM
bibechana-24341	66	62			NOUN
bibechana-24341	66	63			SYM
bibechana-24341	66	64			NOUN
bibechana-24341	66	65			SYM
bibechana-24341	66	66			NOUN
bibechana-24341	66	67			SYM
bibechana-24341	66	68			NOUN
bibechana-24341	66	69			SYM
bibechana-24341	66	70			NOUN
bibechana-24341	66	71			SYM
bibechana-24341	66	72			NOUN
bibechana-24341	66	73			SYM
bibechana-24341	66	74			NOUN
bibechana-24341	66	75			SYM
bibechana-24341	66	76			NOUN
bibechana-24341	66	77			SYM
bibechana-24341	66	78			NOUN
bibechana-24341	66	79			SYM
bibechana-24341	66	80			NOUN
bibechana-24341	66	81			SYM
bibechana-24341	66	82			NOUN
bibechana-24341	66	83			SYM
bibechana-24341	66	84			NOUN
bibechana-24341	66	85			SYM
bibechana-24341	66	86			NOUN
bibechana-24341	66	87			SYM
bibechana-24341	66	88			NOUN
bibechana-24341	66	89			SYM
bibechana-24341	66	90			NOUN
bibechana-24341	66	91			SYM
bibechana-24341	66	92			NOUN
bibechana-24341	66	93			SYM
bibechana-24341	66	94			NOUN
bibechana-24341	66	95			SYM
bibechana-24341	66	96			NOUN
bibechana-24341	66	97			SYM
bibechana-24341	66	98			NOUN
bibechana-24341	66	99			SYM
bibechana-24341	66	100			NOUN
bibechana-24341	66	101			SYM
bibechana-24341	66	102			NOUN
bibechana-24341	66	103			SYM
bibechana-24341	66	104			NOUN
bibechana-24341	66	105			SYM
bibechana-24341	66	106			NOUN
bibechana-24341	66	107			SYM
bibechana-24341	66	108			NOUN
bibechana-24341	66	109			SYM
bibechana-24341	66	110			NOUN
bibechana-24341	66	111			SYM
bibechana-24341	66	112			NOUN
bibechana-24341	66	113			SYM
bibechana-24341	66	114			NOUN
bibechana-24341	66	115			SYM
bibechana-24341	66	116			NOUN
bibechana-24341	66	117			SYM
bibechana-24341	66	118			NOUN
bibechana-24341	66	119			SYM
bibechana-24341	66	120			NOUN
bibechana-24341	66	121			SYM
bibechana-24341	66	122			NOUN
bibechana-24341	66	123			PROPN
bibechana-24341	66	124	.0	.0	NUM
bibechana-24341	66	125	}	}	PUNCT
bibechana-24341	66	126	]	]	PUNCT
bibechana-24341	66	127	,	,	PUNCT
bibechana-24341	66	128	,	,	PUNCT
bibechana-24341	66	129	{	{	PUNCT
bibechana-24341	66	130	}	}	PUNCT
bibechana-24341	66	131	,	,	PUNCT
bibechana-24341	66	132	,	,	PUNCT
bibechana-24341	66	133	{	{	PUNCT
bibechana-24341	66	134	}	}	PUNCT
bibechana-24341	66	135	,	,	PUNCT
bibechana-24341	66	136	{	{	PUNCT
bibechana-24341	66	137	,	,	PUNCT
bibechana-24341	66	138	}	}	PUNCT
bibechana-24341	66	139	,	,	PUNCT
bibechana-24341	66	140	,	,	PUNCT
bibechana-24341	66	141	{	{	PUNCT
bibechana-24341	66	142	}	}	PUNCT
bibechana-24341	66	143	,	,	PUNCT
bibechana-24341	66	144	{	{	PUNCT
bibechana-24341	66	145	,	,	PUNCT
bibechana-24341	66	146	}	}	PUNCT
bibechana-24341	66	147	,	,	PUNCT
bibechana-24341	66	148	,	,	PUNCT
bibechana-24341	66	149	{	{	PUNCT
bibechana-24341	66	150	[	[	PUNCT
bibechana-24341	66	151	2	2	NUM
bibechana-24341	66	152	1	1	NUM
bibechana-24341	66	153	]	]	PUNCT
bibechana-24341	66	154	,	,	PUNCT
bibechana-24341	66	155	,	,	PUNCT
bibechana-24341	66	156	,	,	PUNCT
bibechana-24341	66	157	,	,	PUNCT
bibechana-24341	66	158	[	[	PUNCT
bibechana-24341	66	159	2	2	NUM
bibechana-24341	66	160	1	1	NUM
bibechana-24341	66	161	,	,	PUNCT
bibechana-24341	66	162	,	,	PUNCT
bibechana-24341	66	163			ADJ
bibechana-24341	66	164			PROPN
bibechana-24341	66	165			ADJ
bibechana-24341	66	166			NUM
bibechana-24341	66	167			PROPN
bibechana-24341	66	168			PROPN
bibechana-24341	66	169			ADV
bibechana-24341	66	170			PROPN
bibechana-24341	66	171			PROPN
bibechana-24341	66	172			PROPN
bibechana-24341	66	173			PROPN
bibechana-24341	66	174			PROPN
bibechana-24341	66	175			NOUN
bibechana-24341	66	176	zyxgyzxgu	zyxgyzxgu	PROPN
bibechana-24341	66	177	xuygyuxgz	xuygyuxgz	PROPN
bibechana-24341	66	178	uyuygzxg	uyuygzxg	VERB
bibechana-24341	66	179	zuxgxuzgy	zuxgxuzgy	PROPN
bibechana-24341	66	180	zuuzgyxgzuyg	zuuzgyxgzuyg	PROPN
bibechana-24341	66	181	yzugx	yzugx	PROPN
bibechana-24341	67	1	n	n	DET
bibechana-24341	67	2	yxsuzg	yxsuzg	NOUN
bibechana-24341	67	3	zxsuyg	zxsuyg	NOUN
bibechana-24341	67	4	n	n	PROPN
bibechana-24341	67	5	xuzyrg	xuzyrg	PROPN
bibechana-24341	67	6			VERB
bibechana-24341	67	7			PROPN
bibechana-24341	67	8			NOUN
bibechana-24341	67	9			VERB
bibechana-24341	67	10			PROPN
bibechana-24341	67	11			NOUN
bibechana-24341	67	12			X
bibechana-24341	67	13	(	(	PUNCT
bibechana-24341	67	14	3.15	3.15	NUM
bibechana-24341	67	15	)	)	PUNCT
bibechana-24341	67	16	let	let	VERB
bibechana-24341	67	17			PROPN
bibechana-24341	67	18	12,	12,	VERB
bibechana-24341	67	19	...	...	PUNCT
bibechana-24341	68	1	,2,1	,2,1	PROPN
bibechana-24341	68	2	:	:	PUNCT
bibechana-24341	68	3			PROPN
bibechana-24341	68	4	nie	nie	PROPN
bibechana-24341	69	1	i	i	PRON
bibechana-24341	69	2	be	be	VERB
bibechana-24341	69	3	an	an	DET
bibechana-24341	69	4	orthonormal	orthonormal	ADJ
bibechana-24341	69	5	basis	basis	NOUN
bibechana-24341	69	6	of	of	ADP
bibechana-24341	69	7	the	the	DET
bibechana-24341	69	8	tangent	tangent	ADJ
bibechana-24341	69	9	space	space	NOUN
bibechana-24341	69	10	at	at	ADP
bibechana-24341	69	11	any	any	DET
bibechana-24341	69	12	point	point	NOUN
bibechana-24341	69	13	of	of	ADP
bibechana-24341	69	14	the	the	DET
bibechana-24341	69	15	manifold	manifold	NOUN
bibechana-24341	69	16	.	.	PUNCT
bibechana-24341	70	1	putting	put	VERB
bibechana-24341	70	2	i	i	PRON
bibechana-24341	70	3	eyx	eyx	NOUN
bibechana-24341	70	4			AUX
bibechana-24341	70	5	in	in	ADP
bibechana-24341	70	6	(	(	PUNCT
bibechana-24341	70	7	3.15	3.15	NUM
bibechana-24341	70	8	)	)	PUNCT
bibechana-24341	70	9	and	and	CCONJ
bibechana-24341	70	10	taking	take	VERB
bibechana-24341	70	11	summation	summation	NOUN
bibechana-24341	70	12	over	over	ADP
bibechana-24341	70	13	,	,	PUNCT
bibechana-24341	70	14	121	121	NUM
bibechana-24341	70	15	,	,	PUNCT
bibechana-24341	70	16			PROPN
bibechana-24341	70	17	nii	nii	PROPN
bibechana-24341	70	18	we	we	PRON
bibechana-24341	70	19	get	get	VERB
bibechana-24341	70	20	riddhi	riddhi	ADJ
bibechana-24341	70	21	jung	jung	PROPN
bibechana-24341	70	22	shah	shah	PROPN
bibechana-24341	70	23	/	/	SYM
bibechana-24341	70	24	bibechana	bibechana	PROPN
bibechana-24341	70	25	17	17	NUM
bibechana-24341	70	26	(	(	PUNCT
bibechana-24341	70	27	2020	2020	NUM
bibechana-24341	70	28	)	)	PUNCT
bibechana-24341	70	29	110	110	NUM
bibechana-24341	70	30	-	-	SYM
bibechana-24341	70	31	116	116	NUM
bibechana-24341	70	32	113	113	NUM
bibechana-24341	70	33			NOUN
bibechana-24341	70	34			SYM
bibechana-24341	70	35			NOUN
bibechana-24341	70	36			PROPN
bibechana-24341	70	37			NOUN
bibechana-24341	70	38	.	.	PUNCT
bibechana-24341	70	39	,	,	PUNCT
bibechana-24341	70	40	12	12	NUM
bibechana-24341	70	41	22	22	NUM
bibechana-24341	70	42	,	,	PUNCT
bibechana-24341	70	43	uzg	uzg	PROPN
bibechana-24341	70	44	n	n	CCONJ
bibechana-24341	71	1	nnr	nnr	PROPN
bibechana-24341	71	2	uzs	uzs	PROPN
bibechana-24341	71	3			PROPN
bibechana-24341	71	4			PROPN
bibechana-24341	71	5			PROPN
bibechana-24341	71	6			X
bibechana-24341	71	7	(	(	PUNCT
bibechana-24341	71	8	3.16	3.16	NUM
bibechana-24341	71	9	)	)	PUNCT
bibechana-24341	71	10	again	again	ADV
bibechana-24341	71	11	taking	take	VERB
bibechana-24341	71	12	an	an	DET
bibechana-24341	71	13	orthonormal	orthonormal	ADJ
bibechana-24341	71	14	frame	frame	NOUN
bibechana-24341	71	15	field	field	NOUN
bibechana-24341	71	16	at	at	ADP
bibechana-24341	71	17	any	any	DET
bibechana-24341	71	18	point	point	NOUN
bibechana-24341	71	19	of	of	ADP
bibechana-24341	71	20	the	the	DET
bibechana-24341	71	21	manifold	manifold	ADJ
bibechana-24341	71	22	and	and	CCONJ
bibechana-24341	71	23	contracting	contracting	NOUN
bibechana-24341	71	24	over	over	ADP
bibechana-24341	71	25	z	z	NOUN
bibechana-24341	71	26	and	and	CCONJ
bibechana-24341	71	27	u	u	NOUN
bibechana-24341	71	28	in	in	ADP
bibechana-24341	71	29	(	(	PUNCT
bibechana-24341	71	30	3.16	3.16	NUM
bibechana-24341	71	31	)	)	PUNCT
bibechana-24341	71	32	we	we	PRON
bibechana-24341	71	33	have	have	VERB
bibechana-24341	71	34	,	,	PUNCT
bibechana-24341	71	35	02	02	NUM
bibechana-24341	71	36			PROPN
bibechana-24341	71	37	n	n	PROPN
bibechana-24341	71	38	for	for	ADP
bibechana-24341	71	39	.1n	.1n	PUNCT
bibechana-24341	71	40	hence	hence	ADV
bibechana-24341	71	41	the	the	DET
bibechana-24341	71	42	ricci	ricci	PROPN
bibechana-24341	71	43	soliton	soliton	NOUN
bibechana-24341	71	44	is	be	AUX
bibechana-24341	71	45	shrinking	shrink	VERB
bibechana-24341	71	46	.	.	PUNCT
bibechana-24341	72	1	this	this	PRON
bibechana-24341	72	2	completes	complete	VERB
bibechana-24341	72	3	the	the	DET
bibechana-24341	72	4	proof	proof	NOUN
bibechana-24341	72	5	of	of	ADP
bibechana-24341	72	6	the	the	DET
bibechana-24341	72	7	theorem	theorem	PROPN
bibechana-24341	72	8	.	.	PUNCT
bibechana-24341	72	9	theorem	theorem	VERB
bibechana-24341	72	10	3.3	3.3	NUM
bibechana-24341	72	11	:	:	PUNCT
bibechana-24341	72	12	let	let	VERB
bibechana-24341	72	13	m	m	PRON
bibechana-24341	72	14	be	be	AUX
bibechana-24341	72	15	a	a	DET
bibechana-24341	72	16			PROPN
bibechana-24341	72	17	12	12	PROPN
bibechana-24341	72	18	n	n	PROPN
bibechana-24341	72	19	-dimensional	-dimensional	ADJ
bibechana-24341	72	20	lp	lp	ADJ
bibechana-24341	72	21	-	-	PUNCT
bibechana-24341	72	22	sasakian	sasakian	ADJ
bibechana-24341	72	23	manifold	manifold	ADJ
bibechana-24341	72	24	and	and	CCONJ
bibechana-24341	72	25			NOUN
bibechana-24341	72	26	,,vg	,,vg	PROPN
bibechana-24341	72	27	be	be	VERB
bibechana-24341	72	28	a	a	DET
bibechana-24341	72	29	ricci	ricci	NOUN
bibechana-24341	72	30	soliton	soliton	NOUN
bibechana-24341	72	31	satisfying	satisfy	VERB
bibechana-24341	72	32	the	the	DET
bibechana-24341	72	33	condition	condition	NOUN
bibechana-24341	72	34			NOUN
bibechana-24341	72	35			PROPN
bibechana-24341	72	36	0	0	NUM
bibechana-24341	72	37	.	.	NUM
bibechana-24341	72	38	,	,	PUNCT
bibechana-24341	72	39	2	2	NUM
bibechana-24341	72	40	sxw	sxw	PRON
bibechana-24341	72	41			NOUN
bibechana-24341	72	42	in	in	ADV
bibechana-24341	72	43	,	,	PUNCT
bibechana-24341	72	44	m	m	VERB
bibechana-24341	72	45	then	then	ADV
bibechana-24341	72	46	the	the	DET
bibechana-24341	72	47	ricci	ricci	PROPN
bibechana-24341	72	48	soliton	soliton	NOUN
bibechana-24341	72	49	is	be	AUX
bibechana-24341	72	50	steady	steady	ADJ
bibechana-24341	72	51	.	.	PUNCT
bibechana-24341	73	1	proof	proof	NOUN
bibechana-24341	73	2	:	:	PUNCT
bibechana-24341	73	3	let	let	VERB
bibechana-24341	73	4	m	m	PRON
bibechana-24341	73	5	be	be	AUX
bibechana-24341	73	6	a	a	DET
bibechana-24341	73	7			PROPN
bibechana-24341	73	8	12	12	ADJ
bibechana-24341	73	9	n	n	PROPN
bibechana-24341	73	10	-dimensional	-dimensional	ADJ
bibechana-24341	73	11	lpsasakian	lpsasakian	ADJ
bibechana-24341	73	12	manifold	manifold	ADJ
bibechana-24341	73	13	and	and	CCONJ
bibechana-24341	73	14			NOUN
bibechana-24341	73	15	,,vg	,,vg	PROPN
bibechana-24341	73	16	be	be	VERB
bibechana-24341	73	17	a	a	DET
bibechana-24341	73	18	ricci	ricci	NOUN
bibechana-24341	73	19	soliton	soliton	NOUN
bibechana-24341	73	20	in	in	ADP
bibechana-24341	73	21	.m	.m	PROPN
bibechana-24341	73	22	suppose	suppose	VERB
bibechana-24341	73	23	that	that	SCONJ
bibechana-24341	73	24	the	the	DET
bibechana-24341	73	25	condition	condition	NOUN
bibechana-24341	73	26			NOUN
bibechana-24341	73	27			SYM
bibechana-24341	73	28			NOUN
bibechana-24341	73	29			PROPN
bibechana-24341	73	30	0	0	NUM
bibechana-24341	73	31	,	,	PUNCT
bibechana-24341	73	32	.	.	PUNCT
bibechana-24341	73	33	,	,	PUNCT
bibechana-24341	73	34	2	2	X
bibechana-24341	73	35	zysxw	zysxw	NUM
bibechana-24341	73	36			NOUN
bibechana-24341	73	37	holds	hold	VERB
bibechana-24341	73	38	in	in	ADP
bibechana-24341	73	39	,	,	PUNCT
bibechana-24341	73	40	m	m	AUX
bibechana-24341	73	41	then	then	ADV
bibechana-24341	73	42	we	we	PRON
bibechana-24341	73	43	have	have	VERB
bibechana-24341	73	44			NOUN
bibechana-24341	73	45			PROPN
bibechana-24341	74	1			PROPN
bibechana-24341	74	2			NOUN
bibechana-24341	74	3			NOUN
bibechana-24341	74	4			PROPN
bibechana-24341	74	5	.0	.0	NUM
bibechana-24341	74	6	,	,	PUNCT
bibechana-24341	74	7	,	,	PUNCT
bibechana-24341	74	8	,	,	PUNCT
bibechana-24341	74	9	,	,	PUNCT
bibechana-24341	74	10	22	22	NUM
bibechana-24341	74	11			NOUN
bibechana-24341	74	12	zxwyszyxws	zxwyszyxws	PROPN
bibechana-24341	74	13			NOUN
bibechana-24341	74	14	(	(	PUNCT
bibechana-24341	74	15	3.17	3.17	NUM
bibechana-24341	74	16	)	)	PUNCT
bibechana-24341	74	17	in	in	ADP
bibechana-24341	74	18	view	view	NOUN
bibechana-24341	74	19	of	of	ADP
bibechana-24341	74	20	(	(	PUNCT
bibechana-24341	74	21	3.10	3.10	NUM
bibechana-24341	74	22	)	)	PUNCT
bibechana-24341	74	23	,	,	PUNCT
bibechana-24341	74	24	(	(	PUNCT
bibechana-24341	74	25	2.15	2.15	NUM
bibechana-24341	74	26	)	)	PUNCT
bibechana-24341	74	27	and	and	CCONJ
bibechana-24341	74	28	(	(	PUNCT
bibechana-24341	74	29	3.17	3.17	NUM
bibechana-24341	74	30	)	)	PUNCT
bibechana-24341	74	31	we	we	PRON
bibechana-24341	74	32	obtain	obtain	VERB
bibechana-24341	74	33			NOUN
bibechana-24341	74	34			PUNCT
bibechana-24341	74	35			NOUN
bibechana-24341	74	36			SYM
bibechana-24341	74	37			NOUN
bibechana-24341	74	38			SYM
bibechana-24341	74	39			NOUN
bibechana-24341	75	1			ADJ
bibechana-24341	75	2			PROPN
bibechana-24341	75	3			PROPN
bibechana-24341	75	4			SYM
bibechana-24341	75	5			NOUN
bibechana-24341	75	6			SYM
bibechana-24341	75	7			NOUN
bibechana-24341	75	8			SYM
bibechana-24341	75	9			NOUN
bibechana-24341	75	10			SYM
bibechana-24341	75	11			NOUN
bibechana-24341	75	12			SYM
bibechana-24341	75	13			NOUN
bibechana-24341	75	14			SYM
bibechana-24341	75	15			NOUN
bibechana-24341	75	16			SYM
bibechana-24341	75	17			NOUN
bibechana-24341	75	18			SYM
bibechana-24341	75	19			NOUN
bibechana-24341	75	20			SYM
bibechana-24341	75	21			NOUN
bibechana-24341	75	22			SYM
bibechana-24341	75	23			NOUN
bibechana-24341	75	24			SYM
bibechana-24341	75	25			NOUN
bibechana-24341	75	26			PROPN
bibechana-24341	75	27	.0	.0	NOUN
bibechana-24341	75	28	,	,	PUNCT
bibechana-24341	75	29	,	,	PUNCT
bibechana-24341	75	30	,	,	PUNCT
bibechana-24341	75	31	,	,	PUNCT
bibechana-24341	75	32	,	,	PUNCT
bibechana-24341	75	33	,	,	PUNCT
bibechana-24341	75	34	}	}	PUNCT
bibechana-24341	75	35	{	{	PUNCT
bibechana-24341	75	36	2	2	NUM
bibechana-24341	75	37	1	1	NUM
bibechana-24341	75	38	,	,	PUNCT
bibechana-24341	75	39	,	,	PUNCT
bibechana-24341	75	40	,	,	PUNCT
bibechana-24341	75	41	,	,	PUNCT
bibechana-24341	75	42			PROPN
bibechana-24341	75	43			PROPN
bibechana-24341	75	44			PROPN
bibechana-24341	75	45			PUNCT
bibechana-24341	75	46	yqszxgzqsyxg	yqszxgzqsyxg	PROPN
bibechana-24341	75	47	zyxsyzxs	zyxsyzxs	PROPN
bibechana-24341	75	48	n	n	PROPN
bibechana-24341	75	49	yzxgzyxg	yzxgzyxg	NOUN
bibechana-24341	75	50	zyqxs	zyqxs	PROPN
bibechana-24341	75	51	yzqxs	yzqxs	PROPN
bibechana-24341	75	52			PUNCT
bibechana-24341	75	53			NOUN
bibechana-24341	75	54			ADJ
bibechana-24341	75	55			NUM
bibechana-24341	75	56			NUM
bibechana-24341	75	57	(	(	PUNCT
bibechana-24341	75	58	3.18	3.18	NUM
bibechana-24341	75	59	)	)	PUNCT
bibechana-24341	75	60	putting	put	VERB
bibechana-24341	75	61	z	z	NOUN
bibechana-24341	75	62	in	in	ADP
bibechana-24341	75	63	(	(	PUNCT
bibechana-24341	75	64	3.18	3.18	NUM
bibechana-24341	75	65	)	)	PUNCT
bibechana-24341	75	66	and	and	CCONJ
bibechana-24341	75	67	using	use	VERB
bibechana-24341	75	68	(	(	PUNCT
bibechana-24341	75	69	2.1	2.1	NUM
bibechana-24341	75	70	)	)	PUNCT
bibechana-24341	75	71	,	,	PUNCT
bibechana-24341	75	72	(	(	PUNCT
bibechana-24341	75	73	2.3	2.3	NUM
bibechana-24341	75	74	)	)	PUNCT
bibechana-24341	75	75	and	and	CCONJ
bibechana-24341	76	1	(	(	PUNCT
bibechana-24341	76	2	2.15	2.15	NUM
bibechana-24341	76	3	)	)	PUNCT
bibechana-24341	76	4	we	we	PRON
bibechana-24341	76	5	get	get	VERB
bibechana-24341	76	6			NOUN
bibechana-24341	76	7			PUNCT
bibechana-24341	76	8			NOUN
bibechana-24341	76	9			SYM
bibechana-24341	76	10			NOUN
bibechana-24341	76	11			SYM
bibechana-24341	76	12			NOUN
bibechana-24341	76	13			SYM
bibechana-24341	76	14			NOUN
bibechana-24341	76	15			SYM
bibechana-24341	76	16			NOUN
bibechana-24341	76	17			SYM
bibechana-24341	76	18			NOUN
bibechana-24341	76	19			SYM
bibechana-24341	76	20			NOUN
bibechana-24341	76	21			PROPN
bibechana-24341	76	22	.	.	PUNCT
bibechana-24341	77	1	]	]	X
bibechana-24341	77	2	,	,	PUNCT
bibechana-24341	77	3	,	,	PUNCT
bibechana-24341	77	4	}	}	PUNCT
bibechana-24341	77	5	2	2	NUM
bibechana-24341	77	6	,	,	PUNCT
bibechana-24341	77	7	1{[2	1{[2	NUM
bibechana-24341	77	8	,	,	PUNCT
bibechana-24341	77	9	yqsxyxs	yqsxyxs	PROPN
bibechana-24341	77	10	yx	yx	PROPN
bibechana-24341	78	1	n	n	CCONJ
bibechana-24341	78	2	yxgn	yxgn	ADJ
bibechana-24341	78	3	yqxs	yqxs	NOUN
bibechana-24341	78	4			NOUN
bibechana-24341	78	5			NOUN
bibechana-24341	78	6			ADJ
bibechana-24341	78	7			ADJ
bibechana-24341	78	8			NOUN
bibechana-24341	78	9			NOUN
bibechana-24341	78	10	(	(	PUNCT
bibechana-24341	78	11	3.19	3.19	NUM
bibechana-24341	78	12	)	)	PUNCT
bibechana-24341	78	13	again	again	ADV
bibechana-24341	78	14	taking	take	VERB
bibechana-24341	78	15	y	y	PRON
bibechana-24341	78	16	in	in	ADP
bibechana-24341	78	17	(	(	PUNCT
bibechana-24341	78	18	3.19	3.19	NUM
bibechana-24341	78	19	)	)	PUNCT
bibechana-24341	78	20	and	and	CCONJ
bibechana-24341	78	21	using	use	VERB
bibechana-24341	78	22	(	(	PUNCT
bibechana-24341	78	23	2.1	2.1	NUM
bibechana-24341	78	24	)	)	PUNCT
bibechana-24341	78	25	,	,	PUNCT
bibechana-24341	78	26	(	(	PUNCT
bibechana-24341	78	27	2.3	2.3	NUM
bibechana-24341	78	28	)	)	PUNCT
bibechana-24341	78	29	and	and	CCONJ
bibechana-24341	78	30	(	(	PUNCT
bibechana-24341	78	31	2.15	2.15	NUM
bibechana-24341	78	32	)	)	PUNCT
bibechana-24341	78	33	we	we	PRON
bibechana-24341	78	34	obtain	obtain	VERB
bibechana-24341	78	35			NOUN
bibechana-24341	78	36			SYM
bibechana-24341	78	37			NOUN
bibechana-24341	78	38			PROPN
bibechana-24341	78	39	,	,	PUNCT
bibechana-24341	78	40	012	012	NUM
bibechana-24341	78	41	2	2	NUM
bibechana-24341	78	42			PROPN
bibechana-24341	78	43	xn	xn	PROPN
bibechana-24341	78	44			PROPN
bibechana-24341	78	45	(	(	PUNCT
bibechana-24341	78	46	3.20	3.20	NUM
bibechana-24341	78	47	)	)	PUNCT
bibechana-24341	78	48	since	since	SCONJ
bibechana-24341	78	49			PROPN
bibechana-24341	78	50			PROPN
bibechana-24341	78	51	,	,	PUNCT
bibechana-24341	78	52	0x	0x	X
bibechana-24341	78	53	(	(	PUNCT
bibechana-24341	78	54	3.20	3.20	NUM
bibechana-24341	78	55	)	)	PUNCT
bibechana-24341	78	56	implies	imply	VERB
bibechana-24341	78	57	that	that	PRON
bibechana-24341	78	58	.0	.0	PUNCT
bibechana-24341	78	59	thus	thus	ADV
bibechana-24341	78	60	the	the	DET
bibechana-24341	78	61	ricci	ricci	PROPN
bibechana-24341	78	62	soliton	soliton	NOUN
bibechana-24341	78	63	is	be	AUX
bibechana-24341	78	64	steady	steady	ADJ
bibechana-24341	78	65	.	.	PUNCT
bibechana-24341	79	1	this	this	PRON
bibechana-24341	79	2	proves	prove	VERB
bibechana-24341	79	3	the	the	DET
bibechana-24341	79	4	theorem	theorem	PROPN
bibechana-24341	79	5	.	.	PUNCT
bibechana-24341	79	6	theorem	theorem	VERB
bibechana-24341	79	7	3.4	3.4	NUM
bibechana-24341	79	8	:	:	PUNCT
bibechana-24341	79	9	a	a	DET
bibechana-24341	79	10	ricci	ricci	PROPN
bibechana-24341	79	11	soliton	soliton	NOUN
bibechana-24341	79	12	in	in	ADP
bibechana-24341	79	13	a	a	DET
bibechana-24341	79	14			PROPN
bibechana-24341	79	15	12	12	PROPN
bibechana-24341	80	1	n	n	ADJ
bibechana-24341	80	2	dimensional	dimensional	ADJ
bibechana-24341	80	3	lp	lp	ADJ
bibechana-24341	80	4	-	-	ADJ
bibechana-24341	80	5	sasakian	sasakian	ADJ
bibechana-24341	80	6	manifold	manifold	NOUN
bibechana-24341	80	7	satisfying	satisfy	VERB
bibechana-24341	80	8	the	the	DET
bibechana-24341	80	9	condition	condition	NOUN
bibechana-24341	80	10			NOUN
bibechana-24341	80	11			PROPN
bibechana-24341	80	12	0	0	NUM
bibechana-24341	80	13	.	.	NUM
bibechana-24341	80	14	,	,	PUNCT
bibechana-24341	80	15	42	42	NUM
bibechana-24341	80	16	wxw	wxw	NOUN
bibechana-24341	80	17			NOUN
bibechana-24341	80	18	is	be	AUX
bibechana-24341	80	19	shrinking	shrink	VERB
bibechana-24341	80	20	under	under	ADP
bibechana-24341	80	21	the	the	DET
bibechana-24341	80	22	condition	condition	NOUN
bibechana-24341	80	23	.0	.0	NUM
bibechana-24341	80	24	.	.	PUNCT
bibechana-24341	81	1	tr	tr	NUM
bibechana-24341	82	1	proof	proof	NOUN
bibechana-24341	82	2	:	:	PUNCT
bibechana-24341	82	3	let	let	VERB
bibechana-24341	82	4	m	m	PRON
bibechana-24341	82	5	be	be	AUX
bibechana-24341	82	6	a	a	DET
bibechana-24341	82	7			PROPN
bibechana-24341	82	8	12	12	ADJ
bibechana-24341	82	9	n	n	PROPN
bibechana-24341	82	10	-dimensional	-dimensional	ADJ
bibechana-24341	82	11	lpsasakian	lpsasakian	ADJ
bibechana-24341	82	12	manifold	manifold	ADJ
bibechana-24341	82	13	and	and	CCONJ
bibechana-24341	82	14			NOUN
bibechana-24341	82	15	,,vg	,,vg	PROPN
bibechana-24341	82	16	be	be	VERB
bibechana-24341	82	17	a	a	DET
bibechana-24341	82	18	ricci	ricci	NOUN
bibechana-24341	82	19	soliton	soliton	NOUN
bibechana-24341	82	20	in	in	ADP
bibechana-24341	82	21	.m	.m	PROPN
bibechana-24341	83	1	the	the	DET
bibechana-24341	83	2	4	4	NUM
bibechana-24341	83	3	w	w	NOUN
bibechana-24341	83	4	-curvature	-curvature	NOUN
bibechana-24341	83	5	tensor	tensor	NOUN
bibechana-24341	83	6	in	in	ADP
bibechana-24341	83	7	m	m	PROPN
bibechana-24341	83	8	is	be	AUX
bibechana-24341	83	9	defined	define	VERB
bibechana-24341	83	10	by	by	ADP
bibechana-24341	83	11	[	[	X
bibechana-24341	83	12	15	15	NUM
bibechana-24341	83	13	]	]	X
bibechana-24341	83	14			NOUN
bibechana-24341	83	15			SYM
bibechana-24341	83	16			NOUN
bibechana-24341	83	17			SYM
bibechana-24341	83	18			NOUN
bibechana-24341	83	19			SYM
bibechana-24341	83	20			NOUN
bibechana-24341	83	21			SYM
bibechana-24341	83	22			NOUN
bibechana-24341	83	23			PUNCT
bibechana-24341	83	24			NOUN
bibechana-24341	84	1			PROPN
bibechana-24341	84	2	]	]	X
bibechana-24341	84	3	[	[	PUNCT
bibechana-24341	84	4	2	2	NUM
bibechana-24341	84	5	1	1	NUM
bibechana-24341	84	6	,	,	PUNCT
bibechana-24341	84	7	,	,	PUNCT
bibechana-24341	84	8	,	,	PUNCT
bibechana-24341	84	9	,	,	PUNCT
bibechana-24341	84	10	,	,	PUNCT
bibechana-24341	84	11	,	,	PUNCT
bibechana-24341	84	12	,	,	PUNCT
bibechana-24341	84	13	,	,	PUNCT
bibechana-24341	84	14	,	,	PUNCT
bibechana-24341	84	15	,	,	PUNCT
bibechana-24341	84	16	4	4	NUM
bibechana-24341	84	17	tzricyxg	tzricyxg	NOUN
bibechana-24341	84	18	tyriczxg	tyriczxg	NOUN
bibechana-24341	84	19	n	n	PRON
bibechana-24341	84	20	tzyxr	tzyxr	VERB
bibechana-24341	84	21	tzyxw	tzyxw	ADJ
bibechana-24341	84	22			PROPN
bibechana-24341	84	23			ADJ
bibechana-24341	84	24	which	which	PRON
bibechana-24341	84	25	can	can	AUX
bibechana-24341	84	26	be	be	AUX
bibechana-24341	84	27	written	write	VERB
bibechana-24341	84	28	as	as	ADP
bibechana-24341	84	29			NOUN
bibechana-24341	85	1			PROPN
bibechana-24341	85	2			NOUN
bibechana-24341	85	3			SYM
bibechana-24341	85	4			NOUN
bibechana-24341	85	5			SYM
bibechana-24341	85	6			NOUN
bibechana-24341	85	7			PROPN
bibechana-24341	85	8	]	]	PUNCT
bibechana-24341	85	9	.	.	PUNCT
bibechana-24341	86	1	[	[	PUNCT
bibechana-24341	86	2	2	2	NUM
bibechana-24341	86	3	1	1	NUM
bibechana-24341	86	4	,	,	PUNCT
bibechana-24341	86	5	,	,	PUNCT
bibechana-24341	86	6	,	,	PUNCT
bibechana-24341	86	7	,	,	PUNCT
bibechana-24341	86	8	4	4	NUM
bibechana-24341	86	9	qzyxg	qzyxg	NOUN
bibechana-24341	86	10	qyzxg	qyzxg	VERB
bibechana-24341	86	11	n	n	PROPN
bibechana-24341	86	12	zyxr	zyxr	PROPN
bibechana-24341	86	13	zyxw	zyxw	PROPN
bibechana-24341	86	14			PROPN
bibechana-24341	86	15			PROPN
bibechana-24341	86	16	(	(	PUNCT
bibechana-24341	86	17	3.21	3.21	NUM
bibechana-24341	86	18	)	)	PUNCT
bibechana-24341	86	19	putting	put	VERB
bibechana-24341	86	20	x	x	PROPN
bibechana-24341	86	21	in	in	ADP
bibechana-24341	86	22	(	(	PUNCT
bibechana-24341	86	23	3.21	3.21	NUM
bibechana-24341	86	24	)	)	PUNCT
bibechana-24341	86	25	and	and	CCONJ
bibechana-24341	86	26	using	use	VERB
bibechana-24341	86	27	(	(	PUNCT
bibechana-24341	86	28	2.3	2.3	NUM
bibechana-24341	86	29	)	)	PUNCT
bibechana-24341	86	30	and	and	CCONJ
bibechana-24341	86	31	(	(	PUNCT
bibechana-24341	86	32	2.8	2.8	NUM
bibechana-24341	86	33	)	)	PUNCT
bibechana-24341	86	34	we	we	PRON
bibechana-24341	86	35	obtain	obtain	VERB
bibechana-24341	86	36			NOUN
bibechana-24341	87	1			PUNCT
bibechana-24341	87	2			NOUN
bibechana-24341	87	3			SYM
bibechana-24341	87	4			NOUN
bibechana-24341	87	5			SYM
bibechana-24341	87	6			NOUN
bibechana-24341	87	7			SYM
bibechana-24341	87	8			NOUN
bibechana-24341	87	9			NOUN
bibechana-24341	87	10	.	.	PUNCT
bibechana-24341	87	11	2	2	NUM
bibechana-24341	87	12	1	1	NUM
bibechana-24341	87	13	,	,	PUNCT
bibechana-24341	87	14	,	,	PUNCT
bibechana-24341	87	15	4	4	NUM
bibechana-24341	87	16	qzyqyz	qzyqyz	NOUN
bibechana-24341	87	17	n	n	CCONJ
bibechana-24341	87	18	yzzygzyw	yzzygzyw	ADJ
bibechana-24341	87	19			NOUN
bibechana-24341	87	20			PROPN
bibechana-24341	87	21			ADJ
bibechana-24341	87	22			NOUN
bibechana-24341	87	23	(	(	PUNCT
bibechana-24341	87	24	3.22	3.22	NUM
bibechana-24341	87	25	)	)	PUNCT
bibechana-24341	87	26	taking	take	VERB
bibechana-24341	87	27	inner	inner	ADJ
bibechana-24341	87	28	product	product	NOUN
bibechana-24341	87	29	on	on	ADP
bibechana-24341	87	30	both	both	DET
bibechana-24341	87	31	sides	side	NOUN
bibechana-24341	87	32	of	of	ADP
bibechana-24341	87	33	(	(	PUNCT
bibechana-24341	87	34	3.21	3.21	NUM
bibechana-24341	87	35	)	)	PUNCT
bibechana-24341	87	36	with	with	ADP
bibechana-24341	87	37			NOUN
bibechana-24341	87	38	and	and	CCONJ
bibechana-24341	87	39	using	use	VERB
bibechana-24341	87	40	(	(	PUNCT
bibechana-24341	87	41	2.7	2.7	NUM
bibechana-24341	87	42	)	)	PUNCT
bibechana-24341	87	43	and	and	CCONJ
bibechana-24341	87	44	(	(	PUNCT
bibechana-24341	87	45	2.15	2.15	NUM
bibechana-24341	87	46	)	)	PUNCT
bibechana-24341	87	47	we	we	PRON
bibechana-24341	87	48	get	get	VERB
bibechana-24341	87	49			NOUN
bibechana-24341	88	1			PROPN
bibechana-24341	88	2			PROPN
bibechana-24341	88	3			NOUN
bibechana-24341	88	4			SYM
bibechana-24341	88	5			NOUN
bibechana-24341	88	6			SYM
bibechana-24341	88	7			NOUN
bibechana-24341	88	8			SYM
bibechana-24341	88	9			NOUN
bibechana-24341	88	10			SYM
bibechana-24341	88	11			NOUN
bibechana-24341	88	12			PROPN
bibechana-24341	88	13			NOUN
bibechana-24341	88	14	.	.	PUNCT
bibechana-24341	88	15	,	,	PUNCT
bibechana-24341	88	16	2	2	NUM
bibechana-24341	88	17	1	1	NUM
bibechana-24341	88	18	,	,	PUNCT
bibechana-24341	88	19	2	2	NUM
bibechana-24341	88	20	,	,	PUNCT
bibechana-24341	88	21	,	,	PUNCT
bibechana-24341	88	22	4	4	NUM
bibechana-24341	88	23	yzxg	yzxg	NOUN
bibechana-24341	89	1	n	n	CCONJ
bibechana-24341	89	2	zyxg	zyxg	NOUN
bibechana-24341	89	3	n	n	CCONJ
bibechana-24341	89	4	xzyg	xzyg	PROPN
bibechana-24341	89	5	zyxw	zyxw	PROPN
bibechana-24341	89	6			NUM
bibechana-24341	89	7			X
bibechana-24341	89	8			NUM
bibechana-24341	89	9			X
bibechana-24341	89	10			PUNCT
bibechana-24341	89	11			NUM
bibechana-24341	89	12			PROPN
bibechana-24341	89	13			NOUN
bibechana-24341	89	14			PRON
bibechana-24341	89	15			PROPN
bibechana-24341	89	16			PROPN
bibechana-24341	89	17			NOUN
bibechana-24341	89	18			PROPN
bibechana-24341	89	19			PROPN
bibechana-24341	89	20	(	(	PUNCT
bibechana-24341	89	21	3.23	3.23	NUM
bibechana-24341	89	22	)	)	PUNCT
bibechana-24341	89	23	now	now	ADV
bibechana-24341	89	24	,	,	PUNCT
bibechana-24341	89	25	we	we	PRON
bibechana-24341	89	26	assume	assume	VERB
bibechana-24341	89	27	that	that	SCONJ
bibechana-24341	89	28	the	the	DET
bibechana-24341	89	29	condition	condition	NOUN
bibechana-24341	89	30			NOUN
bibechana-24341	89	31			SYM
bibechana-24341	89	32			NOUN
bibechana-24341	89	33			PROPN
bibechana-24341	89	34	0	0	NUM
bibechana-24341	89	35	,	,	PUNCT
bibechana-24341	89	36	.	.	PUNCT
bibechana-24341	89	37	,	,	PUNCT
bibechana-24341	89	38	42	42	NUM
bibechana-24341	89	39	uzywxw	uzywxw	NUM
bibechana-24341	89	40			NOUN
bibechana-24341	89	41	holds	hold	NOUN
bibechana-24341	89	42	in	in	ADP
bibechana-24341	89	43	,	,	PUNCT
bibechana-24341	89	44	m	m	AUX
bibechana-24341	89	45	then	then	ADV
bibechana-24341	89	46	we	we	PRON
bibechana-24341	89	47	have	have	VERB
bibechana-24341	89	48			NOUN
bibechana-24341	89	49			PUNCT
bibechana-24341	89	50			NOUN
bibechana-24341	89	51			PUNCT
bibechana-24341	89	52			NOUN
bibechana-24341	90	1			NOUN
bibechana-24341	91	1			PUNCT
bibechana-24341	91	2			PROPN
bibechana-24341	91	3			NOUN
bibechana-24341	92	1			PUNCT
bibechana-24341	92	2			NOUN
bibechana-24341	92	3			PUNCT
bibechana-24341	92	4			NOUN
bibechana-24341	92	5			PROPN
bibechana-24341	92	6	.0	.0	NOUN
bibechana-24341	92	7	,	,	PUNCT
bibechana-24341	92	8	,	,	PUNCT
bibechana-24341	92	9	,	,	PUNCT
bibechana-24341	92	10	,	,	PUNCT
bibechana-24341	92	11	,	,	PUNCT
bibechana-24341	92	12	,	,	PUNCT
bibechana-24341	92	13	,	,	PUNCT
bibechana-24341	92	14	,	,	PUNCT
bibechana-24341	92	15	24	24	NUM
bibechana-24341	92	16	24	24	NUM
bibechana-24341	92	17	24	24	NUM
bibechana-24341	92	18	42	42	NUM
bibechana-24341	92	19			PROPN
bibechana-24341	92	20			PROPN
bibechana-24341	92	21			PROPN
bibechana-24341	93	1	uxwzyw	uxwzyw	ADJ
bibechana-24341	93	2	uzxwyw	uzxwyw	ADJ
bibechana-24341	93	3	uzyxww	uzyxww	NOUN
bibechana-24341	93	4	uzywxw	uzywxw	NOUN
bibechana-24341	93	5			NOUN
bibechana-24341	93	6			NOUN
bibechana-24341	93	7			ADP
bibechana-24341	93	8			X
bibechana-24341	93	9	(	(	PUNCT
bibechana-24341	93	10	3.24	3.24	NUM
bibechana-24341	93	11	)	)	PUNCT
bibechana-24341	93	12	in	in	ADP
bibechana-24341	93	13	view	view	NOUN
bibechana-24341	93	14	of	of	ADP
bibechana-24341	93	15	(	(	PUNCT
bibechana-24341	93	16	3.10	3.10	NUM
bibechana-24341	93	17	)	)	PUNCT
bibechana-24341	93	18	and	and	CCONJ
bibechana-24341	93	19	(	(	PUNCT
bibechana-24341	93	20	3.24	3.24	NUM
bibechana-24341	93	21	)	)	PUNCT
bibechana-24341	93	22	we	we	PRON
bibechana-24341	93	23	get	get	VERB
bibechana-24341	93	24			NOUN
bibechana-24341	93	25			PROPN
bibechana-24341	93	26			PROPN
bibechana-24341	93	27			PROPN
bibechana-24341	93	28			NOUN
bibechana-24341	94	1			PUNCT
bibechana-24341	94	2			PROPN
bibechana-24341	94	3			NOUN
bibechana-24341	95	1			PUNCT
bibechana-24341	95	2			PROPN
bibechana-24341	95	3			NOUN
bibechana-24341	96	1			PUNCT
bibechana-24341	96	2			NOUN
bibechana-24341	96	3			SYM
bibechana-24341	96	4			NOUN
bibechana-24341	96	5			SYM
bibechana-24341	96	6			NOUN
bibechana-24341	96	7			SYM
bibechana-24341	96	8			NOUN
bibechana-24341	96	9			SYM
bibechana-24341	96	10			NOUN
bibechana-24341	96	11			SYM
bibechana-24341	96	12			NOUN
bibechana-24341	96	13			SYM
bibechana-24341	96	14			NOUN
bibechana-24341	96	15			SYM
bibechana-24341	96	16			NOUN
bibechana-24341	96	17			SYM
bibechana-24341	96	18			NOUN
bibechana-24341	96	19			SYM
bibechana-24341	96	20			NOUN
bibechana-24341	96	21			SYM
bibechana-24341	96	22			NOUN
bibechana-24341	96	23			SYM
bibechana-24341	96	24			NOUN
bibechana-24341	96	25			SYM
bibechana-24341	96	26			NOUN
bibechana-24341	96	27			SYM
bibechana-24341	96	28			NOUN
bibechana-24341	96	29			SYM
bibechana-24341	96	30			NOUN
bibechana-24341	96	31			SYM
bibechana-24341	96	32			NOUN
bibechana-24341	96	33			SYM
bibechana-24341	96	34			NOUN
bibechana-24341	96	35			SYM
bibechana-24341	96	36			NOUN
bibechana-24341	96	37			SYM
bibechana-24341	96	38			NOUN
bibechana-24341	96	39			SYM
bibechana-24341	96	40			NOUN
bibechana-24341	96	41			SYM
bibechana-24341	96	42			NOUN
bibechana-24341	96	43			SYM
bibechana-24341	96	44			NOUN
bibechana-24341	96	45			SYM
bibechana-24341	96	46			NOUN
bibechana-24341	96	47			SYM
bibechana-24341	96	48			NOUN
bibechana-24341	96	49			PROPN
bibechana-24341	96	50	.0	.0	NOUN
bibechana-24341	96	51	,	,	PUNCT
bibechana-24341	96	52	,	,	PUNCT
bibechana-24341	96	53	,	,	PUNCT
bibechana-24341	96	54	,	,	PUNCT
bibechana-24341	96	55	,	,	PUNCT
bibechana-24341	96	56	,	,	PUNCT
bibechana-24341	96	57	,	,	PUNCT
bibechana-24341	96	58	,	,	PUNCT
bibechana-24341	96	59	,	,	PUNCT
bibechana-24341	96	60	]	]	X
bibechana-24341	96	61	,	,	PUNCT
bibechana-24341	96	62	,	,	PUNCT
bibechana-24341	96	63	,	,	PUNCT
bibechana-24341	96	64	,	,	PUNCT
bibechana-24341	96	65	,	,	PUNCT
bibechana-24341	96	66	,	,	PUNCT
bibechana-24341	96	67	,	,	PUNCT
bibechana-24341	96	68	,	,	PUNCT
bibechana-24341	96	69	,	,	PUNCT
bibechana-24341	96	70	,	,	PUNCT
bibechana-24341	96	71	,	,	PUNCT
bibechana-24341	96	72	,	,	PUNCT
bibechana-24341	96	73	[	[	PUNCT
bibechana-24341	96	74	2	2	NUM
bibechana-24341	96	75	1	1	NUM
bibechana-24341	96	76	,	,	PUNCT
bibechana-24341	96	77	,	,	PUNCT
bibechana-24341	96	78	,	,	PUNCT
bibechana-24341	96	79	4	4	NUM
bibechana-24341	96	80	44	44	NUM
bibechana-24341	96	81	44	44	NUM
bibechana-24341	96	82	44	44	NUM
bibechana-24341	96	83	44	44	NUM
bibechana-24341	96	84	44	44	NUM
bibechana-24341	96	85	44	44	NUM
bibechana-24341	96	86	4	4	NUM
bibechana-24341	96	87	44	44	NUM
bibechana-24341	96	88			NOUN
bibechana-24341	96	89			PROPN
bibechana-24341	96	90			PROPN
bibechana-24341	96	91			PROPN
bibechana-24341	96	92			PROPN
bibechana-24341	96	93			PROPN
bibechana-24341	96	94			PROPN
bibechana-24341	96	95			PUNCT
bibechana-24341	96	96			PROPN
bibechana-24341	96	97	xzywu	xzywu	PROPN
bibechana-24341	96	98	zywuxguxywz	zywuxguxywz	PROPN
bibechana-24341	96	99	uywzxguzxwy	uywzxguzxwy	PROPN
bibechana-24341	96	100	uzwyxgqzywuxg	uzwyxgqzywuxg	PROPN
bibechana-24341	96	101	qxzywuuqywzxg	qxzywuuqywzxg	PROPN
bibechana-24341	96	102	uqxywzuzqwyxg	uqxywzuzqwyxg	PROPN
bibechana-24341	97	1	uzqxwyqxuzywg	uzqxwyqxuzywg	PROPN
bibechana-24341	97	2	qxuzyw	qxuzyw	PROPN
bibechana-24341	97	3	n	n	PROPN
bibechana-24341	97	4	xuzywxuzywg	xuzywxuzywg	PROPN
bibechana-24341	97	5			NUM
bibechana-24341	97	6			NOUN
bibechana-24341	97	7			NOUN
bibechana-24341	97	8			PUNCT
bibechana-24341	97	9			PUNCT
bibechana-24341	97	10			PUNCT
bibechana-24341	97	11			PUNCT
bibechana-24341	97	12			NUM
bibechana-24341	97	13			PROPN
bibechana-24341	97	14	(	(	PUNCT
bibechana-24341	97	15	3.25	3.25	NUM
bibechana-24341	97	16	)	)	PUNCT
bibechana-24341	97	17	taking	take	VERB
bibechana-24341	97	18	inner	inner	ADJ
bibechana-24341	97	19	product	product	NOUN
bibechana-24341	97	20	on	on	ADP
bibechana-24341	97	21	both	both	DET
bibechana-24341	97	22	sides	side	NOUN
bibechana-24341	97	23	of	of	ADP
bibechana-24341	97	24	(	(	PUNCT
bibechana-24341	97	25	3.25	3.25	NUM
bibechana-24341	97	26	)	)	PUNCT
bibechana-24341	97	27	with	with	ADP
bibechana-24341	97	28			NOUN
bibechana-24341	97	29	and	and	CCONJ
bibechana-24341	97	30	using	use	VERB
bibechana-24341	97	31	(	(	PUNCT
bibechana-24341	97	32	2.1	2.1	NUM
bibechana-24341	97	33	)	)	PUNCT
bibechana-24341	97	34	,	,	PUNCT
bibechana-24341	97	35	(	(	PUNCT
bibechana-24341	97	36	2.3	2.3	NUM
bibechana-24341	97	37	)	)	PUNCT
bibechana-24341	97	38	and	and	CCONJ
bibechana-24341	97	39	(	(	PUNCT
bibechana-24341	97	40	2.15	2.15	NUM
bibechana-24341	97	41	)	)	PUNCT
bibechana-24341	97	42	we	we	PRON
bibechana-24341	97	43	obtain	obtain	VERB
bibechana-24341	97	44	riddhi	riddhi	ADJ
bibechana-24341	97	45	jung	jung	NOUN
bibechana-24341	97	46	shah	shah	PROPN
bibechana-24341	97	47	/	/	SYM
bibechana-24341	97	48	bibechana	bibechana	PROPN
bibechana-24341	97	49	17	17	NUM
bibechana-24341	97	50	(	(	PUNCT
bibechana-24341	97	51	2020	2020	NUM
bibechana-24341	97	52	)	)	PUNCT
bibechana-24341	97	53	110	110	NUM
bibechana-24341	97	54	-	-	SYM
bibechana-24341	97	55	116	116	NUM
bibechana-24341	97	56	114	114	NUM
bibechana-24341	97	57			NOUN
bibechana-24341	97	58			NOUN
bibechana-24341	98	1			PROPN
bibechana-24341	98	2			NOUN
bibechana-24341	98	3			PUNCT
bibechana-24341	98	4			NOUN
bibechana-24341	99	1			NOUN
bibechana-24341	99	2			ADJ
bibechana-24341	99	3			PROPN
bibechana-24341	99	4			PROPN
bibechana-24341	99	5			SYM
bibechana-24341	99	6			NOUN
bibechana-24341	99	7			PUNCT
bibechana-24341	99	8			NOUN
bibechana-24341	100	1			NOUN
bibechana-24341	101	1			PUNCT
bibechana-24341	101	2			NOUN
bibechana-24341	101	3			PUNCT
bibechana-24341	101	4			NOUN
bibechana-24341	101	5			NOUN
bibechana-24341	102	1			PUNCT
bibechana-24341	102	2			NOUN
bibechana-24341	102	3			PUNCT
bibechana-24341	102	4			NOUN
bibechana-24341	102	5			NOUN
bibechana-24341	103	1			PUNCT
bibechana-24341	103	2			NOUN
bibechana-24341	103	3			PUNCT
bibechana-24341	103	4			NOUN
bibechana-24341	103	5			NOUN
bibechana-24341	104	1			PUNCT
bibechana-24341	104	2			NOUN
bibechana-24341	104	3			PUNCT
bibechana-24341	104	4			NOUN
bibechana-24341	104	5			NOUN
bibechana-24341	105	1			PUNCT
bibechana-24341	105	2			NOUN
bibechana-24341	105	3			PUNCT
bibechana-24341	105	4			NOUN
bibechana-24341	105	5			NOUN
bibechana-24341	106	1			PUNCT
bibechana-24341	106	2			NOUN
bibechana-24341	106	3			PUNCT
bibechana-24341	106	4			NOUN
bibechana-24341	106	5			NOUN
bibechana-24341	107	1			PUNCT
bibechana-24341	107	2			NOUN
bibechana-24341	107	3			PUNCT
bibechana-24341	107	4			NOUN
bibechana-24341	107	5			NOUN
bibechana-24341	108	1			PUNCT
bibechana-24341	108	2			NOUN
bibechana-24341	108	3			PUNCT
bibechana-24341	108	4			NOUN
bibechana-24341	108	5			NOUN
bibechana-24341	109	1			PUNCT
bibechana-24341	109	2			NOUN
bibechana-24341	109	3			PUNCT
bibechana-24341	109	4			NOUN
bibechana-24341	109	5			NOUN
bibechana-24341	109	6			PROPN
bibechana-24341	109	7	.0	.0	NUM
bibechana-24341	109	8	,	,	PUNCT
bibechana-24341	109	9	,	,	PUNCT
bibechana-24341	109	10	,	,	PUNCT
bibechana-24341	109	11	,	,	PUNCT
bibechana-24341	109	12	,	,	PUNCT
bibechana-24341	109	13	,	,	PUNCT
bibechana-24341	109	14	,	,	PUNCT
bibechana-24341	109	15	,	,	PUNCT
bibechana-24341	109	16	,	,	PUNCT
bibechana-24341	109	17	}	}	PUNCT
bibechana-24341	109	18	,	,	PUNCT
bibechana-24341	109	19	,	,	PUNCT
bibechana-24341	109	20	,	,	PUNCT
bibechana-24341	109	21	,	,	PUNCT
bibechana-24341	109	22	,	,	PUNCT
bibechana-24341	109	23	,	,	PUNCT
bibechana-24341	109	24	)	)	PUNCT
bibechana-24341	109	25	)	)	PUNCT
bibechana-24341	109	26	,	,	PUNCT
bibechana-24341	109	27	(	(	PUNCT
bibechana-24341	109	28	(	(	PUNCT
bibechana-24341	109	29	)	)	PUNCT
bibechana-24341	109	30	,	,	PUNCT
bibechana-24341	109	31	(	(	PUNCT
bibechana-24341	109	32	)	)	PUNCT
bibechana-24341	109	33	)	)	PUNCT
bibechana-24341	109	34	,	,	PUNCT
bibechana-24341	109	35	(	(	PUNCT
bibechana-24341	109	36	(	(	PUNCT
bibechana-24341	109	37	{	{	PUNCT
bibechana-24341	109	38	2	2	NUM
bibechana-24341	109	39	1	1	NUM
bibechana-24341	109	40	,	,	PUNCT
bibechana-24341	109	41	,	,	PUNCT
bibechana-24341	109	42	,	,	PUNCT
bibechana-24341	109	43	2	2	NUM
bibechana-24341	109	44	1	1	NUM
bibechana-24341	109	45	1	1	NUM
bibechana-24341	109	46	44	44	NUM
bibechana-24341	109	47	44	44	NUM
bibechana-24341	109	48	44	44	NUM
bibechana-24341	109	49	44	44	NUM
bibechana-24341	109	50	44	44	NUM
bibechana-24341	109	51	44	44	NUM
bibechana-24341	109	52	44	44	NUM
bibechana-24341	109	53			SYM
bibechana-24341	109	54			PROPN
bibechana-24341	109	55			PROPN
bibechana-24341	109	56			PROPN
bibechana-24341	109	57			PROPN
bibechana-24341	109	58			PROPN
bibechana-24341	109	59			PROPN
bibechana-24341	109	60			PROPN
bibechana-24341	109	61			NOUN
bibechana-24341	109	62			PRON
bibechana-24341	109	63			PROPN
bibechana-24341	109	64			PROPN
bibechana-24341	109	65			NOUN
bibechana-24341	109	66	xzywuzywuxg	xzywuzywuxg	NOUN
bibechana-24341	109	67	uxywzuywzxg	uxywzuywzxg	ADJ
bibechana-24341	109	68	uzxwyuzwyxg	uzxwyuzwyxg	PROPN
bibechana-24341	109	69	qzywuxgqxzywu	qzywuxgqxzywu	PROPN
bibechana-24341	109	70	uqywzxguqxywz	uqywzxguqxywz	PROPN
bibechana-24341	109	71	uzqwyxguzqxwy	uzqwyxguzqxwy	PROPN
bibechana-24341	109	72	n	n	CCONJ
bibechana-24341	109	73	uzywxxuzywg	uzywxxuzywg	PROPN
bibechana-24341	109	74	n	n	PROPN
bibechana-24341	109	75			NOUN
bibechana-24341	109	76			NOUN
bibechana-24341	109	77			NOUN
bibechana-24341	109	78			PROPN
bibechana-24341	110	1			PROPN
bibechana-24341	111	1			PROPN
bibechana-24341	111	2			NOUN
bibechana-24341	111	3	(	(	PUNCT
bibechana-24341	111	4	3.26	3.26	NUM
bibechana-24341	111	5	)	)	PUNCT
bibechana-24341	111	6	in	in	ADP
bibechana-24341	111	7	view	view	NOUN
bibechana-24341	111	8	of	of	ADP
bibechana-24341	111	9	(	(	PUNCT
bibechana-24341	111	10	3.21	3.21	NUM
bibechana-24341	111	11	)	)	PUNCT
bibechana-24341	111	12	,	,	PUNCT
bibechana-24341	111	13	(	(	PUNCT
bibechana-24341	111	14	3.23	3.23	NUM
bibechana-24341	111	15	)	)	PUNCT
bibechana-24341	111	16	,	,	PUNCT
bibechana-24341	111	17	(	(	PUNCT
bibechana-24341	111	18	3.26	3.26	NUM
bibechana-24341	111	19	)	)	PUNCT
bibechana-24341	111	20	and	and	CCONJ
bibechana-24341	111	21	(	(	PUNCT
bibechana-24341	111	22	2.15	2.15	NUM
bibechana-24341	111	23	)	)	PUNCT
bibechana-24341	111	24	we	we	PRON
bibechana-24341	111	25	get	get	VERB
bibechana-24341	111	26			NOUN
bibechana-24341	111	27			PROPN
bibechana-24341	111	28			PROPN
bibechana-24341	111	29			NOUN
bibechana-24341	111	30			SYM
bibechana-24341	111	31			NOUN
bibechana-24341	111	32			SYM
bibechana-24341	111	33			NOUN
bibechana-24341	111	34			SYM
bibechana-24341	111	35			NOUN
bibechana-24341	111	36			SYM
bibechana-24341	111	37			NOUN
bibechana-24341	111	38			SYM
bibechana-24341	111	39			NOUN
bibechana-24341	111	40			SYM
bibechana-24341	111	41			NOUN
bibechana-24341	111	42			SYM
bibechana-24341	111	43			NOUN
bibechana-24341	111	44			SYM
bibechana-24341	111	45			NOUN
bibechana-24341	111	46			SYM
bibechana-24341	111	47			NOUN
bibechana-24341	111	48			SYM
bibechana-24341	111	49			NOUN
bibechana-24341	111	50			SYM
bibechana-24341	111	51			NOUN
bibechana-24341	111	52			SYM
bibechana-24341	111	53			NOUN
bibechana-24341	111	54			SYM
bibechana-24341	111	55			NOUN
bibechana-24341	111	56			SYM
bibechana-24341	111	57			NOUN
bibechana-24341	111	58			SYM
bibechana-24341	111	59			NOUN
bibechana-24341	111	60			SYM
bibechana-24341	111	61			NOUN
bibechana-24341	111	62			SYM
bibechana-24341	111	63			NOUN
bibechana-24341	111	64			SYM
bibechana-24341	111	65			NOUN
bibechana-24341	111	66			SYM
bibechana-24341	111	67			NOUN
bibechana-24341	111	68			SYM
bibechana-24341	111	69			NOUN
bibechana-24341	111	70			SYM
bibechana-24341	111	71			NOUN
bibechana-24341	111	72			NOUN
bibechana-24341	111	73			PROPN
bibechana-24341	111	74	.0	.0	NUM
bibechana-24341	111	75	)	)	PUNCT
bibechana-24341	111	76	(	(	PUNCT
bibechana-24341	111	77	)	)	PUNCT
bibechana-24341	111	78	(	(	PUNCT
bibechana-24341	111	79	,	,	PUNCT
bibechana-24341	111	80	,	,	PUNCT
bibechana-24341	111	81	2	2	NUM
bibechana-24341	111	82	1	1	NUM
bibechana-24341	111	83	}	}	PUNCT
bibechana-24341	111	84	,	,	PUNCT
bibechana-24341	111	85	,	,	PUNCT
bibechana-24341	111	86	{	{	PUNCT
bibechana-24341	111	87	4	4	NUM
bibechana-24341	111	88	]	]	PUNCT
bibechana-24341	111	89	,	,	PUNCT
bibechana-24341	111	90	,	,	PUNCT
bibechana-24341	111	91	2	2	NUM
bibechana-24341	111	92	1	1	NUM
bibechana-24341	111	93	}	}	PUNCT
bibechana-24341	111	94	,	,	PUNCT
bibechana-24341	111	95	,	,	PUNCT
bibechana-24341	111	96	,	,	PUNCT
bibechana-24341	111	97	,	,	PUNCT
bibechana-24341	111	98	,	,	PUNCT
bibechana-24341	111	99	,	,	PUNCT
bibechana-24341	111	100	,	,	PUNCT
bibechana-24341	111	101	,	,	PUNCT
bibechana-24341	111	102	{	{	PUNCT
bibechana-24341	111	103	2	2	NUM
bibechana-24341	111	104	1	1	NUM
bibechana-24341	111	105	,	,	PUNCT
bibechana-24341	111	106	,	,	PUNCT
bibechana-24341	111	107	,	,	PUNCT
bibechana-24341	111	108	,	,	PUNCT
bibechana-24341	111	109	[	[	PUNCT
bibechana-24341	111	110	2	2	NUM
bibechana-24341	111	111	1	1	NUM
bibechana-24341	111	112	2	2	NUM
bibechana-24341	111	113			PROPN
bibechana-24341	111	114			PROPN
bibechana-24341	111	115			NOUN
bibechana-24341	111	116			PRON
bibechana-24341	111	117			PROPN
bibechana-24341	111	118			PROPN
bibechana-24341	111	119			NOUN
bibechana-24341	112	1			PROPN
bibechana-24341	112	2			NOUN
bibechana-24341	112	3			PROPN
bibechana-24341	112	4			PROPN
bibechana-24341	112	5			PROPN
bibechana-24341	112	6			NOUN
bibechana-24341	112	7			NOUN
bibechana-24341	112	8			PROPN
bibechana-24341	112	9			ADJ
bibechana-24341	112	10			PROPN
bibechana-24341	112	11			PROPN
bibechana-24341	112	12	zuyxsyxg	zuyxsyxg	NOUN
bibechana-24341	112	13	n	n	CCONJ
bibechana-24341	112	14	zyuxguxs	zyuxguxs	ADJ
bibechana-24341	112	15	n	n	NUM
bibechana-24341	112	16	uygzxg	uygzxg	NOUN
bibechana-24341	112	17	n	n	DET
bibechana-24341	112	18	uxgzyg	uxgzyg	NOUN
bibechana-24341	112	19	yuzxgyuzxs	yuzxgyuzxs	NOUN
bibechana-24341	112	20	uxszygzxsuyg	uxszygzxsuyg	NOUN
bibechana-24341	112	21	n	n	PRON
bibechana-24341	112	22	uzgyxgxuzyrg	uzgyxgxuzyrg	ADJ
bibechana-24341	112	23	n	n	CCONJ
bibechana-24341	112	24			PROPN
bibechana-24341	112	25			PROPN
bibechana-24341	112	26			ADJ
bibechana-24341	112	27			ADJ
bibechana-24341	112	28			X
bibechana-24341	112	29			PROPN
bibechana-24341	112	30			X
bibechana-24341	112	31	(	(	PUNCT
bibechana-24341	112	32	3.27	3.27	NUM
bibechana-24341	112	33	)	)	PUNCT
bibechana-24341	112	34	let	let	VERB
bibechana-24341	112	35			PROPN
bibechana-24341	112	36	12,	12,	VERB
bibechana-24341	112	37	...	...	PUNCT
bibechana-24341	112	38	,2,1	,2,1	PROPN
bibechana-24341	112	39	:	:	PUNCT
bibechana-24341	112	40	ne	ne	NOUN
bibechana-24341	112	41	i	i	PRON
bibechana-24341	112	42	be	be	VERB
bibechana-24341	112	43	an	an	DET
bibechana-24341	112	44	orthonormal	orthonormal	ADJ
bibechana-24341	112	45	basis	basis	NOUN
bibechana-24341	112	46	of	of	ADP
bibechana-24341	112	47	the	the	DET
bibechana-24341	112	48	tangent	tangent	ADJ
bibechana-24341	112	49	space	space	NOUN
bibechana-24341	112	50	at	at	ADP
bibechana-24341	112	51	any	any	DET
bibechana-24341	112	52	point	point	NOUN
bibechana-24341	112	53	of	of	ADP
bibechana-24341	112	54	the	the	DET
bibechana-24341	112	55	manifold	manifold	NOUN
bibechana-24341	112	56	.	.	PUNCT
bibechana-24341	113	1	putting	put	VERB
bibechana-24341	113	2	i	i	PRON
bibechana-24341	113	3	eyx	eyx	NOUN
bibechana-24341	113	4			AUX
bibechana-24341	113	5	in	in	ADP
bibechana-24341	113	6	(	(	PUNCT
bibechana-24341	113	7	3.27	3.27	NUM
bibechana-24341	113	8	)	)	PUNCT
bibechana-24341	113	9	and	and	CCONJ
bibechana-24341	113	10	summing	sum	VERB
bibechana-24341	113	11	over	over	ADP
bibechana-24341	113	12	,	,	PUNCT
bibechana-24341	113	13	121	121	NUM
bibechana-24341	113	14	,	,	PUNCT
bibechana-24341	113	15			PROPN
bibechana-24341	113	16	nii	nii	PROPN
bibechana-24341	113	17	we	we	PRON
bibechana-24341	113	18	get	get	VERB
bibechana-24341	113	19			NOUN
bibechana-24341	113	20			PUNCT
bibechana-24341	113	21			NOUN
bibechana-24341	113	22			SYM
bibechana-24341	113	23			NOUN
bibechana-24341	113	24			SYM
bibechana-24341	113	25			NOUN
bibechana-24341	113	26			PROPN
bibechana-24341	113	27			NOUN
bibechana-24341	113	28	.	.	NOUN
bibechana-24341	113	29	2	2	NUM
bibechana-24341	113	30	12	12	NUM
bibechana-24341	113	31	,	,	PUNCT
bibechana-24341	113	32	2	2	NUM
bibechana-24341	113	33	,	,	PUNCT
bibechana-24341	113	34	zu	zu	NOUN
bibechana-24341	113	35	n	n	PROPN
bibechana-24341	113	36	rn	rn	PROPN
bibechana-24341	113	37	zungzus	zungzus	PROPN
bibechana-24341	113	38			NOUN
bibechana-24341	113	39			X
bibechana-24341	113	40			ADJ
bibechana-24341	113	41			PROPN
bibechana-24341	113	42			PROPN
bibechana-24341	113	43			PROPN
bibechana-24341	114	1			PROPN
bibechana-24341	114	2			NUM
bibechana-24341	114	3			ADP
bibechana-24341	114	4			PROPN
bibechana-24341	114	5			PROPN
bibechana-24341	114	6			ADJ
bibechana-24341	114	7			PROPN
bibechana-24341	114	8	(	(	PUNCT
bibechana-24341	114	9	3.28	3.28	NUM
bibechana-24341	114	10	)	)	PUNCT
bibechana-24341	114	11	again	again	ADV
bibechana-24341	114	12	taking	take	VERB
bibechana-24341	114	13			ADP
bibechana-24341	114	14	zu	zu	ADV
bibechana-24341	114	15	and	and	CCONJ
bibechana-24341	114	16	using	use	VERB
bibechana-24341	114	17	(	(	PUNCT
bibechana-24341	114	18	2.1	2.1	NUM
bibechana-24341	114	19	)	)	PUNCT
bibechana-24341	114	20	,	,	PUNCT
bibechana-24341	114	21	(	(	PUNCT
bibechana-24341	114	22	2.3	2.3	NUM
bibechana-24341	114	23	)	)	PUNCT
bibechana-24341	114	24	,	,	PUNCT
bibechana-24341	114	25	(	(	PUNCT
bibechana-24341	114	26	2.14	2.14	NUM
bibechana-24341	114	27	)	)	PUNCT
bibechana-24341	114	28	and	and	CCONJ
bibechana-24341	114	29	(	(	PUNCT
bibechana-24341	114	30	2.15	2.15	NUM
bibechana-24341	114	31	)	)	PUNCT
bibechana-24341	114	32	we	we	PRON
bibechana-24341	114	33	get	get	VERB
bibechana-24341	114	34	.02	.02	NUM
bibechana-24341	114	35			VERB
bibechana-24341	114	36	n	n	PROPN
bibechana-24341	114	37	thus	thus	ADV
bibechana-24341	114	38			X
bibechana-24341	114	39	is	be	AUX
bibechana-24341	114	40	negative	negative	ADJ
bibechana-24341	114	41	.	.	PUNCT
bibechana-24341	115	1	this	this	PRON
bibechana-24341	115	2	concludes	conclude	VERB
bibechana-24341	115	3	that	that	SCONJ
bibechana-24341	115	4	the	the	DET
bibechana-24341	115	5	ricci	ricci	PROPN
bibechana-24341	115	6	soliton	soliton	NOUN
bibechana-24341	115	7	is	be	AUX
bibechana-24341	115	8	shrinking	shrink	VERB
bibechana-24341	115	9	.	.	PUNCT
bibechana-24341	116	1	this	this	PRON
bibechana-24341	116	2	completes	complete	VERB
bibechana-24341	116	3	the	the	DET
bibechana-24341	116	4	proof	proof	NOUN
bibechana-24341	116	5	of	of	ADP
bibechana-24341	116	6	the	the	DET
bibechana-24341	116	7	theorem	theorem	PROPN
bibechana-24341	116	8	.	.	PUNCT
bibechana-24341	116	9	theorem	theorem	NOUN
bibechana-24341	116	10	3.5	3.5	NUM
bibechana-24341	116	11	:	:	PUNCT
bibechana-24341	116	12	let	let	VERB
bibechana-24341	116	13	m	m	PRON
bibechana-24341	116	14	be	be	AUX
bibechana-24341	116	15	a	a	DET
bibechana-24341	116	16			PROPN
bibechana-24341	116	17	12	12	PROPN
bibechana-24341	116	18	n	n	PROPN
bibechana-24341	116	19	-dimensional	-dimensional	ADJ
bibechana-24341	116	20	lp	lp	ADJ
bibechana-24341	116	21	-	-	PUNCT
bibechana-24341	116	22	sasakian	sasakian	ADJ
bibechana-24341	116	23	manifold	manifold	ADJ
bibechana-24341	116	24	and	and	CCONJ
bibechana-24341	116	25			NOUN
bibechana-24341	116	26	,,vg	,,vg	PROPN
bibechana-24341	116	27	be	be	VERB
bibechana-24341	116	28	a	a	DET
bibechana-24341	116	29	ricci	ricci	NOUN
bibechana-24341	116	30	soliton	soliton	NOUN
bibechana-24341	116	31	in	in	ADP
bibechana-24341	116	32	.m	.m	PROPN
bibechana-24341	116	33	if	if	SCONJ
bibechana-24341	116	34	g	g	PROPN
bibechana-24341	116	35	satisfies	satisfy	VERB
bibechana-24341	116	36	the	the	DET
bibechana-24341	116	37	condition	condition	NOUN
bibechana-24341	116	38			NOUN
bibechana-24341	116	39			PROPN
bibechana-24341	116	40	,	,	PUNCT
bibechana-24341	116	41	0	0	NUM
bibechana-24341	116	42	.	.	NUM
bibechana-24341	116	43	,	,	PUNCT
bibechana-24341	116	44	24	24	NUM
bibechana-24341	116	45	wxw	wxw	NOUN
bibechana-24341	116	46			NOUN
bibechana-24341	116	47	then	then	ADV
bibechana-24341	116	48	g	g	PROPN
bibechana-24341	116	49	is	be	AUX
bibechana-24341	116	50	shrinking	shrink	VERB
bibechana-24341	116	51	under	under	ADP
bibechana-24341	116	52	the	the	DET
bibechana-24341	116	53	condition	condition	NOUN
bibechana-24341	116	54	.0	.0	NUM
bibechana-24341	116	55	.	.	PUNCT
bibechana-24341	117	1	tr	tr	NUM
bibechana-24341	118	1	proof	proof	NOUN
bibechana-24341	118	2	:	:	PUNCT
bibechana-24341	118	3	let	let	VERB
bibechana-24341	118	4	m	m	PRON
bibechana-24341	118	5	be	be	AUX
bibechana-24341	118	6	a	a	DET
bibechana-24341	118	7			PROPN
bibechana-24341	118	8	12	12	ADJ
bibechana-24341	118	9	n	n	PROPN
bibechana-24341	118	10	-dimensional	-dimensional	ADJ
bibechana-24341	118	11	lpsasakian	lpsasakian	ADJ
bibechana-24341	118	12	manifold	manifold	ADJ
bibechana-24341	118	13	and	and	CCONJ
bibechana-24341	118	14			NOUN
bibechana-24341	118	15	,,vg	,,vg	PROPN
bibechana-24341	118	16	be	be	VERB
bibechana-24341	118	17	a	a	DET
bibechana-24341	118	18	ricci	ricci	NOUN
bibechana-24341	118	19	soliton	soliton	NOUN
bibechana-24341	118	20	in	in	ADP
bibechana-24341	118	21	.m	.m	PROPN
bibechana-24341	118	22	suppose	suppose	VERB
bibechana-24341	118	23	that	that	SCONJ
bibechana-24341	118	24	the	the	DET
bibechana-24341	118	25	condition	condition	NOUN
bibechana-24341	118	26			NOUN
bibechana-24341	118	27			SYM
bibechana-24341	118	28			NOUN
bibechana-24341	118	29			PROPN
bibechana-24341	118	30	0	0	NUM
bibechana-24341	118	31	,	,	PUNCT
bibechana-24341	118	32	.	.	PUNCT
bibechana-24341	118	33	,	,	PUNCT
bibechana-24341	118	34	24	24	NUM
bibechana-24341	118	35	uzywxw	uzywxw	NUM
bibechana-24341	118	36			NOUN
bibechana-24341	118	37	holds	hold	VERB
bibechana-24341	118	38	in	in	ADP
bibechana-24341	118	39	,	,	PUNCT
bibechana-24341	118	40	m	m	VERB
bibechana-24341	118	41	then	then	ADV
bibechana-24341	118	42	by	by	ADP
bibechana-24341	118	43	definition	definition	NOUN
bibechana-24341	118	44	we	we	PRON
bibechana-24341	118	45	have	have	VERB
bibechana-24341	118	46			NOUN
bibechana-24341	118	47			PUNCT
bibechana-24341	118	48			NOUN
bibechana-24341	118	49			PUNCT
bibechana-24341	118	50			NOUN
bibechana-24341	119	1			NOUN
bibechana-24341	120	1			PUNCT
bibechana-24341	120	2			PROPN
bibechana-24341	120	3			NOUN
bibechana-24341	121	1			PUNCT
bibechana-24341	121	2			NOUN
bibechana-24341	121	3			SYM
bibechana-24341	121	4			NOUN
bibechana-24341	121	5			PROPN
bibechana-24341	121	6	.	.	PUNCT
bibechana-24341	122	1	,	,	PUNCT
bibechana-24341	122	2	,	,	PUNCT
bibechana-24341	122	3	,	,	PUNCT
bibechana-24341	122	4	,	,	PUNCT
bibechana-24341	122	5	,	,	PUNCT
bibechana-24341	122	6	,	,	PUNCT
bibechana-24341	122	7	,	,	PUNCT
bibechana-24341	122	8	,	,	PUNCT
bibechana-24341	122	9	0	0	NUM
bibechana-24341	122	10	4242	4242	NUM
bibechana-24341	122	11	4224	4224	NUM
bibechana-24341	122	12	uxwzywuzxwyw	uxwzywuzxwyw	ADJ
bibechana-24341	122	13	uzyxwwuzywxw	uzyxwwuzywxw	ADJ
bibechana-24341	122	14			NOUN
bibechana-24341	122	15			NOUN
bibechana-24341	122	16			NOUN
bibechana-24341	122	17			PROPN
bibechana-24341	122	18	(	(	PUNCT
bibechana-24341	122	19	3.29	3.29	NUM
bibechana-24341	122	20	)	)	PUNCT
bibechana-24341	122	21	by	by	ADP
bibechana-24341	122	22	virtue	virtue	NOUN
bibechana-24341	122	23	of	of	ADP
bibechana-24341	122	24	(	(	PUNCT
bibechana-24341	122	25	3.22	3.22	NUM
bibechana-24341	122	26	)	)	PUNCT
bibechana-24341	122	27	and	and	CCONJ
bibechana-24341	122	28	(	(	PUNCT
bibechana-24341	122	29	3.29	3.29	NUM
bibechana-24341	122	30	)	)	PUNCT
bibechana-24341	122	31	we	we	PRON
bibechana-24341	122	32	have	have	VERB
bibechana-24341	122	33			NOUN
bibechana-24341	122	34			PROPN
bibechana-24341	122	35			PROPN
bibechana-24341	122	36			PROPN
bibechana-24341	122	37			NOUN
bibechana-24341	123	1			PUNCT
bibechana-24341	123	2			PROPN
bibechana-24341	123	3			NOUN
bibechana-24341	124	1			PUNCT
bibechana-24341	124	2			NOUN
bibechana-24341	124	3			SYM
bibechana-24341	124	4			NOUN
bibechana-24341	124	5			SYM
bibechana-24341	124	6			NOUN
bibechana-24341	124	7			SYM
bibechana-24341	124	8			NOUN
bibechana-24341	124	9			SYM
bibechana-24341	124	10			NOUN
bibechana-24341	124	11			SYM
bibechana-24341	124	12			NOUN
bibechana-24341	124	13			SYM
bibechana-24341	124	14			NOUN
bibechana-24341	124	15			SYM
bibechana-24341	124	16			NOUN
bibechana-24341	124	17			SYM
bibechana-24341	124	18			NOUN
bibechana-24341	124	19			SYM
bibechana-24341	124	20			NOUN
bibechana-24341	124	21			SYM
bibechana-24341	124	22			NOUN
bibechana-24341	124	23			SYM
bibechana-24341	124	24			NOUN
bibechana-24341	124	25			SYM
bibechana-24341	124	26			NOUN
bibechana-24341	124	27			SYM
bibechana-24341	124	28			NOUN
bibechana-24341	124	29			SYM
bibechana-24341	124	30			NOUN
bibechana-24341	124	31			SYM
bibechana-24341	124	32			NOUN
bibechana-24341	124	33			SYM
bibechana-24341	124	34			NOUN
bibechana-24341	124	35			SYM
bibechana-24341	124	36			NOUN
bibechana-24341	124	37			SYM
bibechana-24341	124	38			NOUN
bibechana-24341	124	39			SYM
bibechana-24341	124	40			NOUN
bibechana-24341	124	41			SYM
bibechana-24341	124	42			NOUN
bibechana-24341	124	43			SYM
bibechana-24341	124	44			NOUN
bibechana-24341	124	45			SYM
bibechana-24341	124	46			NOUN
bibechana-24341	124	47			SYM
bibechana-24341	124	48			NOUN
bibechana-24341	124	49			SYM
bibechana-24341	124	50			NOUN
bibechana-24341	124	51			SYM
bibechana-24341	124	52			NOUN
bibechana-24341	124	53			PROPN
bibechana-24341	124	54	.0	.0	NUM
bibechana-24341	124	55	,	,	PUNCT
bibechana-24341	124	56	,	,	PUNCT
bibechana-24341	124	57	,	,	PUNCT
bibechana-24341	124	58	,	,	PUNCT
bibechana-24341	124	59	,	,	PUNCT
bibechana-24341	124	60	,	,	PUNCT
bibechana-24341	124	61	,	,	PUNCT
bibechana-24341	124	62	,	,	PUNCT
bibechana-24341	124	63	,	,	PUNCT
bibechana-24341	124	64	]	]	X
bibechana-24341	124	65	,	,	PUNCT
bibechana-24341	124	66	,	,	PUNCT
bibechana-24341	124	67	,	,	PUNCT
bibechana-24341	124	68	,	,	PUNCT
bibechana-24341	124	69	,	,	PUNCT
bibechana-24341	124	70	,	,	PUNCT
bibechana-24341	124	71	,	,	PUNCT
bibechana-24341	124	72	,	,	PUNCT
bibechana-24341	124	73	[	[	PUNCT
bibechana-24341	124	74	2	2	NUM
bibechana-24341	124	75	1	1	NUM
bibechana-24341	124	76	,	,	PUNCT
bibechana-24341	124	77	,	,	PUNCT
bibechana-24341	124	78	,	,	PUNCT
bibechana-24341	124	79	22	22	NUM
bibechana-24341	124	80	22	22	NUM
bibechana-24341	124	81	22	22	NUM
bibechana-24341	124	82	22	22	NUM
bibechana-24341	124	83	22	22	NUM
bibechana-24341	124	84	22	22	NUM
bibechana-24341	124	85	22	22	NUM
bibechana-24341	124	86	22	22	NUM
bibechana-24341	124	87			NOUN
bibechana-24341	124	88			PROPN
bibechana-24341	124	89			PROPN
bibechana-24341	124	90			PROPN
bibechana-24341	124	91			PROPN
bibechana-24341	124	92			PROPN
bibechana-24341	124	93			PROPN
bibechana-24341	124	94			PROPN
bibechana-24341	124	95			PROPN
bibechana-24341	124	96	xzywuzywuxg	xzywuzywuxg	NOUN
bibechana-24341	124	97	uxywzuywzxg	uxywzuywzxg	ADJ
bibechana-24341	124	98	uzxwyuzwyxg	uzxwyuzwyxg	PROPN
bibechana-24341	124	99	quzywxqxzywu	quzywxqxzywu	PROPN
bibechana-24341	124	100	uqzywxuqxywz	uqzywxuqxywz	ADJ
bibechana-24341	124	101	uzqywxuzqxwy	uzqywxuzqxwy	NOUN
bibechana-24341	124	102	uzyqwxqxuzyw	uzyqwxqxuzyw	PROPN
bibechana-24341	124	103	n	n	CCONJ
bibechana-24341	124	104	xuzywxuzywg	xuzywxuzywg	ADJ
bibechana-24341	124	105			ADV
bibechana-24341	124	106			PUNCT
bibechana-24341	124	107			NOUN
bibechana-24341	124	108			NOUN
bibechana-24341	124	109			NOUN
bibechana-24341	124	110			NOUN
bibechana-24341	124	111			NOUN
bibechana-24341	124	112			ADV
bibechana-24341	124	113	(	(	PUNCT
bibechana-24341	124	114	3.30	3.30	NUM
bibechana-24341	124	115	)	)	PUNCT
bibechana-24341	124	116	taking	take	VERB
bibechana-24341	124	117	inner	inner	ADJ
bibechana-24341	124	118	product	product	NOUN
bibechana-24341	124	119	on	on	ADP
bibechana-24341	124	120	both	both	DET
bibechana-24341	124	121	sides	side	NOUN
bibechana-24341	124	122	of	of	ADP
bibechana-24341	124	123	(	(	PUNCT
bibechana-24341	124	124	3.30	3.30	NUM
bibechana-24341	124	125	)	)	PUNCT
bibechana-24341	124	126	with	with	ADP
bibechana-24341	124	127			NOUN
bibechana-24341	124	128	and	and	CCONJ
bibechana-24341	124	129	using	use	VERB
bibechana-24341	124	130	(	(	PUNCT
bibechana-24341	124	131	2.1	2.1	NUM
bibechana-24341	124	132	)	)	PUNCT
bibechana-24341	124	133	,	,	PUNCT
bibechana-24341	124	134	(	(	PUNCT
bibechana-24341	124	135	2.3	2.3	NUM
bibechana-24341	124	136	)	)	PUNCT
bibechana-24341	124	137	and	and	CCONJ
bibechana-24341	124	138	(	(	PUNCT
bibechana-24341	124	139	2.15	2.15	NUM
bibechana-24341	124	140	)	)	PUNCT
bibechana-24341	124	141	we	we	PRON
bibechana-24341	124	142	obtain	obtain	VERB
bibechana-24341	124	143			NOUN
bibechana-24341	124	144			NOUN
bibechana-24341	125	1			PROPN
bibechana-24341	125	2			NOUN
bibechana-24341	125	3			PUNCT
bibechana-24341	125	4			NOUN
bibechana-24341	125	5			NOUN
bibechana-24341	126	1			PUNCT
bibechana-24341	126	2			NOUN
bibechana-24341	126	3			PUNCT
bibechana-24341	126	4			NOUN
bibechana-24341	126	5			NOUN
bibechana-24341	127	1			PUNCT
bibechana-24341	127	2			NOUN
bibechana-24341	127	3			PUNCT
bibechana-24341	127	4			NOUN
bibechana-24341	127	5			NOUN
bibechana-24341	128	1			PUNCT
bibechana-24341	128	2			NOUN
bibechana-24341	128	3			PUNCT
bibechana-24341	128	4			NOUN
bibechana-24341	128	5			NOUN
bibechana-24341	129	1			PUNCT
bibechana-24341	129	2			NOUN
bibechana-24341	129	3			PUNCT
bibechana-24341	129	4			NOUN
bibechana-24341	129	5			NOUN
bibechana-24341	130	1			PUNCT
bibechana-24341	130	2			NOUN
bibechana-24341	130	3			PUNCT
bibechana-24341	130	4			NOUN
bibechana-24341	130	5			NOUN
bibechana-24341	131	1			PUNCT
bibechana-24341	131	2			NOUN
bibechana-24341	131	3			PUNCT
bibechana-24341	131	4			NOUN
bibechana-24341	131	5			NOUN
bibechana-24341	132	1			PUNCT
bibechana-24341	132	2			NOUN
bibechana-24341	132	3			PUNCT
bibechana-24341	132	4			NOUN
bibechana-24341	132	5			NOUN
bibechana-24341	133	1			PUNCT
bibechana-24341	133	2			NOUN
bibechana-24341	133	3			PUNCT
bibechana-24341	133	4			NOUN
bibechana-24341	133	5			NOUN
bibechana-24341	134	1			PUNCT
bibechana-24341	134	2			NOUN
bibechana-24341	134	3			PUNCT
bibechana-24341	134	4			NOUN
bibechana-24341	134	5			NOUN
bibechana-24341	135	1			PUNCT
bibechana-24341	135	2			NOUN
bibechana-24341	135	3			PUNCT
bibechana-24341	135	4			NOUN
bibechana-24341	135	5			NOUN
bibechana-24341	136	1			PUNCT
bibechana-24341	136	2			NOUN
bibechana-24341	136	3			PUNCT
bibechana-24341	136	4			NOUN
bibechana-24341	136	5			NOUN
bibechana-24341	137	1			PUNCT
bibechana-24341	137	2			NOUN
bibechana-24341	137	3			PUNCT
bibechana-24341	137	4			NOUN
bibechana-24341	137	5			NOUN
bibechana-24341	138	1			PUNCT
bibechana-24341	138	2			NOUN
bibechana-24341	138	3			PUNCT
bibechana-24341	138	4			NOUN
bibechana-24341	138	5			NOUN
bibechana-24341	139	1			PUNCT
bibechana-24341	139	2			NOUN
bibechana-24341	139	3			PUNCT
bibechana-24341	139	4			NOUN
bibechana-24341	139	5			NOUN
bibechana-24341	139	6			PROPN
bibechana-24341	139	7	.0	.0	NUM
bibechana-24341	139	8	,	,	PUNCT
bibechana-24341	139	9	,	,	PUNCT
bibechana-24341	139	10	,	,	PUNCT
bibechana-24341	139	11	,	,	PUNCT
bibechana-24341	139	12	,	,	PUNCT
bibechana-24341	139	13	,	,	PUNCT
bibechana-24341	139	14	,	,	PUNCT
bibechana-24341	139	15	,	,	PUNCT
bibechana-24341	139	16	,	,	PUNCT
bibechana-24341	139	17	]	]	X
bibechana-24341	139	18	,	,	PUNCT
bibechana-24341	139	19	,	,	PUNCT
bibechana-24341	139	20	,	,	PUNCT
bibechana-24341	139	21	,	,	PUNCT
bibechana-24341	139	22	,	,	PUNCT
bibechana-24341	139	23	,	,	PUNCT
bibechana-24341	139	24	,	,	PUNCT
bibechana-24341	139	25	,	,	PUNCT
bibechana-24341	139	26	,	,	PUNCT
bibechana-24341	139	27	[	[	PUNCT
bibechana-24341	139	28	2	2	NUM
bibechana-24341	139	29	1	1	NUM
bibechana-24341	139	30	,	,	PUNCT
bibechana-24341	139	31	,	,	PUNCT
bibechana-24341	139	32	,	,	PUNCT
bibechana-24341	139	33	22	22	NUM
bibechana-24341	139	34	22	22	NUM
bibechana-24341	139	35	22	22	NUM
bibechana-24341	139	36	22	22	NUM
bibechana-24341	139	37	22	22	NUM
bibechana-24341	139	38	22	22	NUM
bibechana-24341	139	39	22	22	NUM
bibechana-24341	139	40	22	22	NUM
bibechana-24341	139	41			PUNCT
bibechana-24341	139	42			PROPN
bibechana-24341	139	43			PROPN
bibechana-24341	139	44			PROPN
bibechana-24341	139	45			PROPN
bibechana-24341	139	46			PROPN
bibechana-24341	139	47			PROPN
bibechana-24341	139	48			ADJ
bibechana-24341	139	49	xzywuzywuxg	xzywuzywuxg	NOUN
bibechana-24341	139	50	uxywzuywzxg	uxywzuywzxg	PROPN
bibechana-24341	139	51	uzxwyuzwyxg	uzxwyuzwyxg	PROPN
bibechana-24341	139	52	quzywxqxzywu	quzywxqxzywu	PROPN
bibechana-24341	139	53	uqzywxuqxywz	uqzywxuqxywz	ADJ
bibechana-24341	139	54	uzqywxuzqxwy	uzqywxuzqxwy	NOUN
bibechana-24341	139	55	uzyqwgxuzywx	uzyqwgxuzywx	PROPN
bibechana-24341	139	56	n	n	PROPN
bibechana-24341	139	57	uzywxxuzywg	uzywxxuzywg	ADJ
bibechana-24341	139	58			NOUN
bibechana-24341	139	59			NOUN
bibechana-24341	140	1			NOUN
bibechana-24341	140	2			PROPN
bibechana-24341	140	3			INTJ
bibechana-24341	140	4			INTJ
bibechana-24341	141	1			PRON
bibechana-24341	141	2			NOUN
bibechana-24341	141	3	(	(	PUNCT
bibechana-24341	141	4	3.31	3.31	NUM
bibechana-24341	141	5	)	)	PUNCT
bibechana-24341	141	6	in	in	ADP
bibechana-24341	141	7	view	view	NOUN
bibechana-24341	141	8	of	of	ADP
bibechana-24341	141	9	(	(	PUNCT
bibechana-24341	141	10	3.9	3.9	NUM
bibechana-24341	141	11	)	)	PUNCT
bibechana-24341	141	12	and	and	CCONJ
bibechana-24341	141	13	(	(	PUNCT
bibechana-24341	141	14	3.11	3.11	NUM
bibechana-24341	141	15	)	)	PUNCT
bibechana-24341	141	16	,	,	PUNCT
bibechana-24341	141	17	(	(	PUNCT
bibechana-24341	141	18	3.31	3.31	NUM
bibechana-24341	141	19	)	)	PUNCT
bibechana-24341	141	20	yields	yield	VERB
bibechana-24341	141	21			PROPN
bibechana-24341	142	1			PROPN
bibechana-24341	143	1			PROPN
bibechana-24341	143	2			NOUN
bibechana-24341	143	3			SYM
bibechana-24341	143	4			NOUN
bibechana-24341	143	5			SYM
bibechana-24341	143	6			NOUN
bibechana-24341	143	7			SYM
bibechana-24341	143	8			NOUN
bibechana-24341	143	9			SYM
bibechana-24341	143	10			NOUN
bibechana-24341	143	11			SYM
bibechana-24341	143	12			NOUN
bibechana-24341	143	13			SYM
bibechana-24341	143	14			NOUN
bibechana-24341	143	15			SYM
bibechana-24341	143	16			NOUN
bibechana-24341	143	17			SYM
bibechana-24341	143	18			NOUN
bibechana-24341	143	19			SYM
bibechana-24341	143	20			NOUN
bibechana-24341	143	21			SYM
bibechana-24341	143	22			NOUN
bibechana-24341	143	23			PROPN
bibechana-24341	143	24	.0	.0	NUM
bibechana-24341	143	25	)	)	PUNCT
bibechana-24341	143	26	}	}	PUNCT
bibechana-24341	143	27	]	]	PUNCT
bibechana-24341	143	28	(	(	PUNCT
bibechana-24341	143	29	)	)	PUNCT
bibechana-24341	143	30	(	(	PUNCT
bibechana-24341	143	31	)	)	PUNCT
bibechana-24341	143	32	,	,	PUNCT
bibechana-24341	143	33	(	(	PUNCT
bibechana-24341	143	34	2	2	NUM
bibechana-24341	143	35	1	1	NUM
bibechana-24341	143	36	)	)	PUNCT
bibechana-24341	143	37	(	(	PUNCT
bibechana-24341	143	38	)	)	PUNCT
bibechana-24341	143	39	(	(	PUNCT
bibechana-24341	143	40	)	)	PUNCT
bibechana-24341	143	41	,	,	PUNCT
bibechana-24341	143	42	(	(	PUNCT
bibechana-24341	143	43	2	2	NUM
bibechana-24341	143	44	1	1	NUM
bibechana-24341	143	45	)	)	PUNCT
bibechana-24341	143	46	(	(	PUNCT
bibechana-24341	143	47	)	)	PUNCT
bibechana-24341	143	48	(	(	PUNCT
bibechana-24341	143	49	)	)	PUNCT
bibechana-24341	143	50	,	,	PUNCT
bibechana-24341	143	51	(	(	PUNCT
bibechana-24341	143	52	,	,	PUNCT
bibechana-24341	143	53	{	{	PUNCT
bibechana-24341	143	54	1	1	NUM
bibechana-24341	143	55	,	,	PUNCT
bibechana-24341	143	56	,	,	PUNCT
bibechana-24341	143	57	,	,	PUNCT
bibechana-24341	143	58	,	,	PUNCT
bibechana-24341	143	59	[	[	PUNCT
bibechana-24341	143	60	2	2	NUM
bibechana-24341	143	61	1	1	NUM
bibechana-24341	143	62	}	}	PUNCT
bibechana-24341	143	63	{	{	PUNCT
bibechana-24341	143	64	2	2	NUM
bibechana-24341	143	65	1	1	NUM
bibechana-24341	143	66	,	,	PUNCT
bibechana-24341	143	67	,	,	PUNCT
bibechana-24341	143	68	,	,	PUNCT
bibechana-24341	143	69	,	,	PUNCT
bibechana-24341	143	70	,	,	PUNCT
bibechana-24341	143	71	,	,	PUNCT
bibechana-24341	143	72			PROPN
bibechana-24341	143	73			PROPN
bibechana-24341	143	74			PROPN
bibechana-24341	143	75			PROPN
bibechana-24341	143	76			PUNCT
bibechana-24341	143	77			PROPN
bibechana-24341	143	78			NOUN
bibechana-24341	144	1			PRON
bibechana-24341	144	2			PROPN
bibechana-24341	144	3			PROPN
bibechana-24341	144	4			PROPN
bibechana-24341	144	5			PROPN
bibechana-24341	144	6	zuyxs	zuyxs	PROPN
bibechana-24341	144	7	uyzxsyxuzs	uyzxsyxuzs	PROPN
bibechana-24341	144	8	zxuys	zxuy	NOUN
bibechana-24341	144	9	n	n	CCONJ
bibechana-24341	144	10	uzgyxg	uzgyxg	ADJ
bibechana-24341	144	11	zxguyg	zxguyg	NOUN
bibechana-24341	144	12	n	n	CCONJ
bibechana-24341	144	13	n	n	PROPN
bibechana-24341	144	14	xuzyrg	xuzyrg	PROPN
bibechana-24341	144	15	yxsuzg	yxsuzg	PROPN
bibechana-24341	144	16	zxsuyg	zxsuyg	PROPN
bibechana-24341	144	17			NOUN
bibechana-24341	144	18			NUM
bibechana-24341	144	19			NOUN
bibechana-24341	144	20			X
bibechana-24341	144	21	(	(	PUNCT
bibechana-24341	144	22	3.32	3.32	NUM
bibechana-24341	144	23	)	)	PUNCT
bibechana-24341	144	24	let	let	VERB
bibechana-24341	144	25			PROPN
bibechana-24341	144	26	12,	12,	VERB
bibechana-24341	144	27	...	...	PUNCT
bibechana-24341	145	1	,2,1	,2,1	PROPN
bibechana-24341	145	2	:	:	PUNCT
bibechana-24341	145	3			PROPN
bibechana-24341	145	4	nie	nie	PROPN
bibechana-24341	146	1	i	i	PRON
bibechana-24341	146	2	be	be	VERB
bibechana-24341	146	3	an	an	DET
bibechana-24341	146	4	orthonormal	orthonormal	ADJ
bibechana-24341	146	5	basis	basis	NOUN
bibechana-24341	146	6	of	of	ADP
bibechana-24341	146	7	the	the	DET
bibechana-24341	146	8	tangent	tangent	ADJ
bibechana-24341	146	9	space	space	NOUN
bibechana-24341	146	10	at	at	ADP
bibechana-24341	146	11	any	any	DET
bibechana-24341	146	12	point	point	NOUN
bibechana-24341	146	13	of	of	ADP
bibechana-24341	146	14	the	the	DET
bibechana-24341	146	15	manifold	manifold	NOUN
bibechana-24341	146	16	.	.	PUNCT
bibechana-24341	147	1	putting	put	VERB
bibechana-24341	147	2	i	i	PRON
bibechana-24341	147	3	eyx	eyx	NOUN
bibechana-24341	147	4			AUX
bibechana-24341	147	5	in	in	ADP
bibechana-24341	147	6	(	(	PUNCT
bibechana-24341	147	7	3.32	3.32	NUM
bibechana-24341	147	8	)	)	PUNCT
bibechana-24341	147	9	and	and	CCONJ
bibechana-24341	147	10	summing	sum	VERB
bibechana-24341	147	11	over	over	ADP
bibechana-24341	147	12	,	,	PUNCT
bibechana-24341	147	13	121	121	NUM
bibechana-24341	147	14	,	,	PUNCT
bibechana-24341	147	15			PROPN
bibechana-24341	147	16	nii	nii	PROPN
bibechana-24341	147	17	we	we	PRON
bibechana-24341	147	18	get	get	VERB
bibechana-24341	147	19			NOUN
bibechana-24341	147	20			PUNCT
bibechana-24341	147	21			NOUN
bibechana-24341	147	22			SYM
bibechana-24341	147	23			NOUN
bibechana-24341	147	24			PROPN
bibechana-24341	147	25			NOUN
bibechana-24341	147	26	.	.	PUNCT
bibechana-24341	147	27	264	264	NUM
bibechana-24341	147	28	326	326	NUM
bibechana-24341	147	29	,	,	PUNCT
bibechana-24341	147	30	264	264	NUM
bibechana-24341	147	31	248	248	NUM
bibechana-24341	147	32	,	,	PUNCT
bibechana-24341	147	33	2	2	NUM
bibechana-24341	147	34	2	2	NUM
bibechana-24341	147	35	2	2	NUM
bibechana-24341	147	36	23	23	NUM
bibechana-24341	147	37	zu	zu	NOUN
bibechana-24341	147	38	nn	nn	PROPN
bibechana-24341	147	39	rnrn	rnrn	PROPN
bibechana-24341	147	40	zug	zug	PROPN
bibechana-24341	147	41	nn	nn	PROPN
bibechana-24341	147	42	nrnn	nrnn	PROPN
bibechana-24341	147	43	uzs	uzs	PRON
bibechana-24341	147	44			NOUN
bibechana-24341	147	45			X
bibechana-24341	147	46			PROPN
bibechana-24341	147	47			ADJ
bibechana-24341	147	48			ADJ
bibechana-24341	147	49			PROPN
bibechana-24341	147	50			NOUN
bibechana-24341	147	51			PROPN
bibechana-24341	147	52			PROPN
bibechana-24341	147	53			PROPN
bibechana-24341	147	54			NOUN
bibechana-24341	147	55			PROPN
bibechana-24341	147	56			NOUN
bibechana-24341	147	57			PROPN
bibechana-24341	147	58			PROPN
bibechana-24341	147	59			PROPN
bibechana-24341	147	60			NOUN
bibechana-24341	147	61			PROPN
bibechana-24341	147	62			ADV
bibechana-24341	147	63			ADJ
bibechana-24341	147	64			PROPN
bibechana-24341	147	65			PROPN
bibechana-24341	147	66			PROPN
bibechana-24341	147	67	(	(	PUNCT
bibechana-24341	147	68	3.33	3.33	NUM
bibechana-24341	147	69	)	)	PUNCT
bibechana-24341	147	70	again	again	ADV
bibechana-24341	147	71	,	,	PUNCT
bibechana-24341	147	72	putting	put	VERB
bibechana-24341	147	73	uz	uz	PUNCT
bibechana-24341	147	74	in	in	ADP
bibechana-24341	147	75	(	(	PUNCT
bibechana-24341	147	76	3.33	3.33	NUM
bibechana-24341	147	77	)	)	PUNCT
bibechana-24341	147	78	and	and	CCONJ
bibechana-24341	147	79	using	use	VERB
bibechana-24341	147	80	(	(	PUNCT
bibechana-24341	147	81	2.1	2.1	NUM
bibechana-24341	147	82	)	)	PUNCT
bibechana-24341	147	83	,	,	PUNCT
bibechana-24341	147	84	(	(	PUNCT
bibechana-24341	147	85	2.3	2.3	NUM
bibechana-24341	147	86	)	)	PUNCT
bibechana-24341	147	87	and	and	CCONJ
bibechana-24341	147	88	(	(	PUNCT
bibechana-24341	147	89	2.15	2.15	NUM
bibechana-24341	147	90	)	)	PUNCT
bibechana-24341	147	91	we	we	PRON
bibechana-24341	147	92	get	get	VERB
bibechana-24341	147	93	.044	.044	NUM
bibechana-24341	147	94	22	22	NUM
bibechana-24341	147	95			PROPN
bibechana-24341	147	96	nn	nn	NOUN
bibechana-24341	147	97	(	(	PUNCT
bibechana-24341	147	98	3.34	3.34	NUM
bibechana-24341	147	99	)	)	PUNCT
bibechana-24341	147	100	riddhi	riddhi	NOUN
bibechana-24341	147	101	jung	jung	PROPN
bibechana-24341	147	102	shah	shah	PROPN
bibechana-24341	147	103	/	/	SYM
bibechana-24341	147	104	bibechana	bibechana	PROPN
bibechana-24341	147	105	17	17	NUM
bibechana-24341	147	106	(	(	PUNCT
bibechana-24341	147	107	2020	2020	NUM
bibechana-24341	147	108	)	)	PUNCT
bibechana-24341	147	109	110	110	NUM
bibechana-24341	147	110	-	-	SYM
bibechana-24341	147	111	116	116	NUM
bibechana-24341	147	112	115	115	NUM
bibechana-24341	147	113	this	this	DET
bibechana-24341	147	114	equation	equation	NOUN
bibechana-24341	147	115	gives	give	VERB
bibechana-24341	147	116	nn	nn	PROPN
bibechana-24341	147	117	2,2	2,2	NUM
bibechana-24341	147	118			PROPN
bibechana-24341	147	119	.	.	PUNCT
bibechana-24341	148	1	hence	hence	ADV
bibechana-24341	148	2			X
bibechana-24341	148	3	is	be	AUX
bibechana-24341	148	4	negative	negative	ADJ
bibechana-24341	148	5	.	.	PUNCT
bibechana-24341	149	1	this	this	PRON
bibechana-24341	149	2	concludes	conclude	VERB
bibechana-24341	149	3	that	that	SCONJ
bibechana-24341	149	4	the	the	DET
bibechana-24341	149	5	ricci	ricci	PROPN
bibechana-24341	149	6	soliton	soliton	NOUN
bibechana-24341	149	7	is	be	AUX
bibechana-24341	149	8	shrinking	shrink	VERB
bibechana-24341	149	9	.	.	PUNCT
bibechana-24341	150	1	thus	thus	ADV
bibechana-24341	150	2	the	the	DET
bibechana-24341	150	3	theorem	theorem	NOUN
bibechana-24341	150	4	is	be	AUX
bibechana-24341	150	5	proved	prove	VERB
bibechana-24341	150	6	.	.	PUNCT
bibechana-24341	151	1	from	from	ADP
bibechana-24341	151	2	theorem	theorem	ADJ
bibechana-24341	151	3	3.4	3.4	NUM
bibechana-24341	151	4	and	and	CCONJ
bibechana-24341	151	5	theorem	theorem	VERB
bibechana-24341	151	6	3.5	3.5	NUM
bibechana-24341	151	7	we	we	PRON
bibechana-24341	151	8	can	can	AUX
bibechana-24341	151	9	state	state	VERB
bibechana-24341	151	10	next	next	ADJ
bibechana-24341	151	11	theorem	theorem	NOUN
bibechana-24341	151	12	theorem	theorem	VERB
bibechana-24341	151	13	3.6	3.6	NUM
bibechana-24341	151	14	:	:	PUNCT
bibechana-24341	151	15	ricci	ricci	NOUN
bibechana-24341	151	16	solitons	soliton	NOUN
bibechana-24341	151	17	in	in	ADP
bibechana-24341	151	18	a	a	DET
bibechana-24341	151	19			PROPN
bibechana-24341	151	20	12	12	PROPN
bibechana-24341	152	1	n	n	ADJ
bibechana-24341	152	2	dimensional	dimensional	ADJ
bibechana-24341	152	3	lp	lp	ADJ
bibechana-24341	152	4	-	-	ADJ
bibechana-24341	152	5	sasakian	sasakian	ADJ
bibechana-24341	152	6	manifold	manifold	NOUN
bibechana-24341	152	7	satisfying	satisfy	VERB
bibechana-24341	152	8	the	the	DET
bibechana-24341	152	9	derivation	derivation	NOUN
bibechana-24341	152	10	conditions	condition	NOUN
bibechana-24341	152	11			NOUN
bibechana-24341	152	12			PROPN
bibechana-24341	152	13	0	0	NUM
bibechana-24341	152	14	.	.	NUM
bibechana-24341	152	15	,	,	PUNCT
bibechana-24341	152	16	42	42	NUM
bibechana-24341	152	17	wxw	wxw	NOUN
bibechana-24341	152	18			NOUN
bibechana-24341	152	19	and	and	CCONJ
bibechana-24341	152	20			NOUN
bibechana-24341	152	21			PROPN
bibechana-24341	152	22	0	0	NUM
bibechana-24341	152	23	.	.	NUM
bibechana-24341	152	24	,	,	PUNCT
bibechana-24341	152	25	24	24	NUM
bibechana-24341	152	26	wxw	wxw	NOUN
bibechana-24341	152	27			NOUN
bibechana-24341	152	28	are	be	AUX
bibechana-24341	152	29	equivalent	equivalent	ADJ
bibechana-24341	152	30	.	.	PUNCT
bibechana-24341	153	1	now	now	ADV
bibechana-24341	153	2	we	we	PRON
bibechana-24341	153	3	give	give	VERB
bibechana-24341	153	4	an	an	DET
bibechana-24341	153	5	example	example	NOUN
bibechana-24341	153	6	of	of	ADP
bibechana-24341	153	7	lp	lp	ADJ
bibechana-24341	153	8	-	-	ADJ
bibechana-24341	153	9	sasakian	sasakian	ADJ
bibechana-24341	153	10	manifold	manifold	NOUN
bibechana-24341	153	11	.	.	PUNCT
bibechana-24341	154	1	4	4	X
bibechana-24341	154	2	.	.	NOUN
bibechana-24341	154	3	example	example	NOUN
bibechana-24341	154	4	for	for	ADP
bibechana-24341	154	5	3	3	NUM
bibechana-24341	154	6	-	-	PUNCT
bibechana-24341	154	7	dimensional	dimensional	ADJ
bibechana-24341	154	8	lp	lp	ADJ
bibechana-24341	154	9	-	-	ADJ
bibechana-24341	154	10	sasakian	sasakian	ADJ
bibechana-24341	154	11	manifold	manifold	NOUN
bibechana-24341	154	12	let	let	VERB
bibechana-24341	154	13	us	we	PRON
bibechana-24341	154	14	consider	consider	VERB
bibechana-24341	154	15	a	a	DET
bibechana-24341	154	16	3	3	NUM
bibechana-24341	154	17	-	-	PUNCT
bibechana-24341	154	18	dimensional	dimensional	ADJ
bibechana-24341	154	19	manifold	manifold	ADJ
bibechana-24341	154	20			NOUN
bibechana-24341	154	21			SYM
bibechana-24341	154	22			NOUN
bibechana-24341	155	1			NOUN
bibechana-24341	155	2			PROPN
bibechana-24341	155	3	,	,	PUNCT
bibechana-24341	155	4	,	,	PUNCT
bibechana-24341	155	5	,	,	PUNCT
bibechana-24341	155	6	:	:	PUNCT
bibechana-24341	155	7	,	,	PUNCT
bibechana-24341	155	8	,	,	PUNCT
bibechana-24341	155	9	3rzyxzyxm	3rzyxzyxm	NUM
bibechana-24341	155	10			X
bibechana-24341	155	11	where	where	SCONJ
bibechana-24341	155	12			NOUN
bibechana-24341	155	13	zyx	zyx	NOUN
bibechana-24341	155	14	,	,	PUNCT
bibechana-24341	155	15	,	,	PUNCT
bibechana-24341	155	16	are	be	AUX
bibechana-24341	155	17	standard	standard	ADJ
bibechana-24341	155	18	coordinates	coordinate	NOUN
bibechana-24341	155	19	in	in	ADP
bibechana-24341	155	20	.	.	PUNCT
bibechana-24341	156	1	3	3	NUM
bibechana-24341	156	2	r	r	NOUN
bibechana-24341	156	3	we	we	PRON
bibechana-24341	156	4	choose	choose	VERB
bibechana-24341	156	5	the	the	DET
bibechana-24341	156	6	vector	vector	NOUN
bibechana-24341	156	7	fields	field	NOUN
bibechana-24341	156	8	,	,	PUNCT
bibechana-24341	156	9	,	,	PUNCT
bibechana-24341	156	10	,	,	PUNCT
bibechana-24341	156	11	321	321	NUM
bibechana-24341	156	12	x	x	SYM
bibechana-24341	156	13	e	e	X
bibechana-24341	156	14	yz	yz	PROPN
bibechana-24341	156	15	ee	ee	PROPN
bibechana-24341	156	16	y	y	PROPN
bibechana-24341	156	17	ee	ee	PROPN
bibechana-24341	156	18	xx	xx	NUM
bibechana-24341	156	19			ADJ
bibechana-24341	156	20			PROPN
bibechana-24341	157	1			PROPN
bibechana-24341	157	2			ADJ
bibechana-24341	157	3			ADJ
bibechana-24341	157	4			PROPN
bibechana-24341	157	5			PROPN
bibechana-24341	157	6			PROPN
bibechana-24341	157	7			PROPN
bibechana-24341	157	8			PROPN
bibechana-24341	157	9			PROPN
bibechana-24341	157	10			PROPN
bibechana-24341	157	11			PROPN
bibechana-24341	157	12			NUM
bibechana-24341	157	13			PRON
bibechana-24341	157	14			PROPN
bibechana-24341	157	15			PROPN
bibechana-24341	157	16			NOUN
bibechana-24341	157	17	(	(	PUNCT
bibechana-24341	157	18	4.1	4.1	NUM
bibechana-24341	157	19	which	which	PRON
bibechana-24341	157	20	are	be	AUX
bibechana-24341	157	21	linearly	linearly	ADV
bibechana-24341	157	22	independent	independent	ADJ
bibechana-24341	157	23	at	at	ADP
bibechana-24341	157	24	each	each	DET
bibechana-24341	157	25	point	point	NOUN
bibechana-24341	157	26	of	of	ADP
bibechana-24341	157	27	.m	.m	NOUN
bibechana-24341	157	28	let	let	VERB
bibechana-24341	157	29	g	g	NOUN
bibechana-24341	157	30	be	be	AUX
bibechana-24341	157	31	the	the	DET
bibechana-24341	157	32	lorentzian	lorentzian	ADJ
bibechana-24341	157	33	metric	metric	NOUN
bibechana-24341	157	34	defined	define	VERB
bibechana-24341	157	35	by	by	ADP
bibechana-24341	157	36			NOUN
bibechana-24341	158	1			PROPN
bibechana-24341	158	2			NOUN
bibechana-24341	158	3			SYM
bibechana-24341	158	4			NOUN
bibechana-24341	158	5			PROPN
bibechana-24341	158	6	,	,	PUNCT
bibechana-24341	158	7	0	0	NUM
bibechana-24341	158	8	,	,	PUNCT
bibechana-24341	158	9	,	,	PUNCT
bibechana-24341	158	10	,	,	PUNCT
bibechana-24341	158	11	313221	313221	NUM
bibechana-24341	158	12			VERB
bibechana-24341	158	13	eegeegeeg	eegeegeeg	NOUN
bibechana-24341	158	14	(	(	PUNCT
bibechana-24341	158	15	4.2	4.2	NUM
bibechana-24341	158	16	)	)	PUNCT
bibechana-24341	158	17			NOUN
bibechana-24341	158	18			SYM
bibechana-24341	158	19			NOUN
bibechana-24341	158	20			SYM
bibechana-24341	158	21			NOUN
bibechana-24341	158	22			PROPN
bibechana-24341	158	23	.1	.1	PROPN
bibechana-24341	158	24	,	,	PUNCT
bibechana-24341	158	25	,	,	PUNCT
bibechana-24341	158	26	,	,	PUNCT
bibechana-24341	158	27	332211	332211	NUM
bibechana-24341	158	28			NUM
bibechana-24341	158	29	eegeegeeg	eegeegeeg	NOUN
bibechana-24341	158	30	(	(	PUNCT
bibechana-24341	158	31	4.3	4.3	NUM
bibechana-24341	158	32	)	)	PUNCT
bibechana-24341	158	33	let	let	VERB
bibechana-24341	158	34			PRON
bibechana-24341	158	35	be	be	AUX
bibechana-24341	158	36	a	a	DET
bibechana-24341	158	37	1	1	NUM
bibechana-24341	158	38	-	-	PUNCT
bibechana-24341	158	39	form	form	NOUN
bibechana-24341	158	40	defined	define	VERB
bibechana-24341	158	41	by	by	ADP
bibechana-24341	158	42			NOUN
bibechana-24341	158	43			PUNCT
bibechana-24341	158	44			NOUN
bibechana-24341	158	45			PROPN
bibechana-24341	158	46	3	3	NUM
bibechana-24341	158	47	,	,	PUNCT
bibechana-24341	158	48	ezgz	ezgz	NOUN
bibechana-24341	158	49			NOUN
bibechana-24341	158	50	for	for	ADP
bibechana-24341	158	51	any	any	DET
bibechana-24341	158	52	vector	vector	NOUN
bibechana-24341	158	53	field	field	NOUN
bibechana-24341	158	54	z	z	NOUN
bibechana-24341	158	55	on	on	ADP
bibechana-24341	158	56	.m	.m	NOUN
bibechana-24341	158	57	let	let	VERB
bibechana-24341	158	58			SCONJ
bibechana-24341	158	59	be	be	AUX
bibechana-24341	158	60	a	a	DET
bibechana-24341	158	61	(	(	PUNCT
bibechana-24341	158	62	1	1	NUM
bibechana-24341	158	63	,	,	PUNCT
bibechana-24341	158	64	1	1	X
bibechana-24341	158	65	)	)	PUNCT
bibechana-24341	158	66	tensor	tensor	NOUN
bibechana-24341	158	67	field	field	NOUN
bibechana-24341	158	68	defined	define	VERB
bibechana-24341	158	69	by	by	ADP
bibechana-24341	158	70			NOUN
bibechana-24341	159	1			PROPN
bibechana-24341	159	2			NOUN
bibechana-24341	159	3			SYM
bibechana-24341	159	4			NOUN
bibechana-24341	159	5			PROPN
bibechana-24341	159	6	0	0	NUM
bibechana-24341	159	7	.	.	NUM
bibechana-24341	159	8	,	,	PUNCT
bibechana-24341	159	9	,	,	PUNCT
bibechana-24341	159	10	32211	32211	NUM
bibechana-24341	159	11			PROPN
bibechana-24341	159	12	eeeee	eeeee	PROPN
bibechana-24341	159	13			PROPN
bibechana-24341	159	14	(	(	PUNCT
bibechana-24341	159	15	4.4	4.4	NUM
bibechana-24341	159	16	)	)	PUNCT
bibechana-24341	159	17	the	the	DET
bibechana-24341	159	18	linearity	linearity	NOUN
bibechana-24341	159	19	property	property	NOUN
bibechana-24341	159	20	of	of	ADP
bibechana-24341	159	21			PROPN
bibechana-24341	159	22	and	and	CCONJ
bibechana-24341	159	23	g	g	NOUN
bibechana-24341	159	24	yields	yield	NOUN
bibechana-24341	160	1	that	that	PRON
bibechana-24341	160	2			NOUN
bibechana-24341	160	3			SYM
bibechana-24341	160	4			NOUN
bibechana-24341	160	5			SYM
bibechana-24341	160	6			NOUN
bibechana-24341	160	7			PROPN
bibechana-24341	160	8	,	,	PUNCT
bibechana-24341	160	9	,	,	PUNCT
bibechana-24341	160	10	1	1	NUM
bibechana-24341	160	11	3	3	NUM
bibechana-24341	160	12	2	2	NUM
bibechana-24341	160	13	3	3	NUM
bibechana-24341	160	14	euuue	euuue	VERB
bibechana-24341	160	15			PRON
bibechana-24341	160	16			NOUN
bibechana-24341	160	17	(	(	PUNCT
bibechana-24341	160	18	4.5	4.5	NUM
bibechana-24341	160	19	)	)	PUNCT
bibechana-24341	160	20			NOUN
bibechana-24341	160	21			PUNCT
bibechana-24341	160	22			NOUN
bibechana-24341	160	23			SYM
bibechana-24341	160	24			NOUN
bibechana-24341	160	25			PUNCT
bibechana-24341	160	26			PROPN
bibechana-24341	160	27			PROPN
bibechana-24341	160	28	,	,	PUNCT
bibechana-24341	160	29	,	,	PUNCT
bibechana-24341	160	30	,	,	PUNCT
bibechana-24341	160	31	uzuzguzg	uzuzguzg	ADJ
bibechana-24341	160	32			PROPN
bibechana-24341	160	33			PROPN
bibechana-24341	160	34	(	(	PUNCT
bibechana-24341	160	35	4.6	4.6	NUM
bibechana-24341	160	36	)	)	PUNCT
bibechana-24341	160	37	for	for	ADP
bibechana-24341	160	38	any	any	DET
bibechana-24341	160	39	vector	vector	NOUN
bibechana-24341	160	40	fields	field	NOUN
bibechana-24341	160	41	uz	uz	NOUN
bibechana-24341	160	42	,	,	PUNCT
bibechana-24341	160	43	on	on	ADP
bibechana-24341	160	44	.m	.m	NOUN
bibechana-24341	160	45	thus	thus	ADV
bibechana-24341	160	46	for	for	ADP
bibechana-24341	160	47			NOUN
bibechana-24341	160	48	ge	ge	NOUN
bibechana-24341	160	49	,	,	PUNCT
bibechana-24341	160	50	,	,	PUNCT
bibechana-24341	160	51	,	,	PUNCT
bibechana-24341	160	52	,	,	PUNCT
bibechana-24341	160	53	3	3	NUM
bibechana-24341	160	54			NOUN
bibechana-24341	160	55	defines	define	VERB
bibechana-24341	160	56	a	a	DET
bibechana-24341	160	57	lorentzian	lorentzian	ADJ
bibechana-24341	160	58	paracontact	paracontact	NOUN
bibechana-24341	160	59	structure	structure	NOUN
bibechana-24341	160	60	on	on	ADP
bibechana-24341	160	61	.m	.m	NOUN
bibechana-24341	160	62	by	by	ADP
bibechana-24341	160	63	the	the	DET
bibechana-24341	160	64	definition	definition	NOUN
bibechana-24341	160	65	of	of	ADP
bibechana-24341	160	66	lie	lie	NOUN
bibechana-24341	160	67	bracket	bracket	NOUN
bibechana-24341	160	68	and	and	CCONJ
bibechana-24341	160	69	(	(	PUNCT
bibechana-24341	160	70	4.1	4.1	NUM
bibechana-24341	160	71	)	)	PUNCT
bibechana-24341	160	72	we	we	PRON
bibechana-24341	160	73	have	have	VERB
bibechana-24341	160	74			ADJ
bibechana-24341	160	75			PUNCT
bibechana-24341	160	76			ADJ
bibechana-24341	160	77			PUNCT
bibechana-24341	160	78			PROPN
bibechana-24341	160	79			PROPN
bibechana-24341	160	80	.	.	PUNCT
bibechana-24341	160	81	,	,	PUNCT
bibechana-24341	160	82	,	,	PUNCT
bibechana-24341	160	83	0	0	NUM
bibechana-24341	160	84	,	,	PUNCT
bibechana-24341	160	85	,	,	PUNCT
bibechana-24341	160	86	,	,	PUNCT
bibechana-24341	160	87	23221131	23221131	NUM
bibechana-24341	160	88	eeeeeeee	eeeeeeee	NOUN
bibechana-24341	160	89			PROPN
bibechana-24341	160	90	(	(	PUNCT
bibechana-24341	160	91	4.7	4.7	NUM
bibechana-24341	160	92	)	)	PUNCT
bibechana-24341	160	93	let	let	VERB
bibechana-24341	160	94			NOUN
bibechana-24341	160	95	be	be	AUX
bibechana-24341	160	96	the	the	DET
bibechana-24341	160	97	levi	levi	PROPN
bibechana-24341	160	98	-	-	PUNCT
bibechana-24341	160	99	civita	civita	NOUN
bibechana-24341	160	100	connection	connection	NOUN
bibechana-24341	160	101	with	with	ADP
bibechana-24341	160	102	respect	respect	NOUN
bibechana-24341	160	103	to	to	ADP
bibechana-24341	160	104	the	the	DET
bibechana-24341	160	105	lorentzian	lorentzian	ADJ
bibechana-24341	160	106	metric	metric	NOUN
bibechana-24341	160	107	,	,	PUNCT
bibechana-24341	160	108	g	g	PROPN
bibechana-24341	160	109	the	the	DET
bibechana-24341	160	110	koszul	koszul	ADJ
bibechana-24341	160	111	formula	formula	NOUN
bibechana-24341	160	112	is	be	AUX
bibechana-24341	160	113	defined	define	VERB
bibechana-24341	160	114	as	as	ADP
bibechana-24341	160	115			NOUN
bibechana-24341	161	1			PROPN
bibechana-24341	161	2			NOUN
bibechana-24341	161	3			SYM
bibechana-24341	161	4			NOUN
bibechana-24341	161	5			SYM
bibechana-24341	161	6			NOUN
bibechana-24341	161	7			PROPN
bibechana-24341	161	8			ADJ
bibechana-24341	161	9			VERB
bibechana-24341	161	10			PROPN
bibechana-24341	161	11			NOUN
bibechana-24341	161	12			VERB
bibechana-24341	161	13			PROPN
bibechana-24341	161	14			PROPN
bibechana-24341	161	15			PROPN
bibechana-24341	161	16	.	.	PRON
bibechana-24341	161	17	,	,	PUNCT
bibechana-24341	161	18	,	,	PUNCT
bibechana-24341	161	19	,	,	PUNCT
bibechana-24341	161	20	,	,	PUNCT
bibechana-24341	161	21	,	,	PUNCT
bibechana-24341	161	22	,	,	PUNCT
bibechana-24341	161	23	,	,	PUNCT
bibechana-24341	161	24	,	,	PUNCT
bibechana-24341	161	25	,	,	PUNCT
bibechana-24341	161	26	,	,	PUNCT
bibechana-24341	161	27	2	2	NUM
bibechana-24341	161	28	yxzg	yxzg	NOUN
bibechana-24341	161	29	xzygzyxg	xzygzyxg	NOUN
bibechana-24341	161	30	yxzgxzygzyxg	yxzgxzygzyxg	PROPN
bibechana-24341	161	31	zyg	zyg	PROPN
bibechana-24341	161	32	x	x	PRON
bibechana-24341	161	33			PROPN
bibechana-24341	161	34			PROPN
bibechana-24341	161	35			PRON
bibechana-24341	161	36			NOUN
bibechana-24341	161	37	(	(	PUNCT
bibechana-24341	161	38	4.8	4.8	NUM
bibechana-24341	161	39	)	)	PUNCT
bibechana-24341	161	40	in	in	ADP
bibechana-24341	161	41	view	view	NOUN
bibechana-24341	161	42	of	of	ADP
bibechana-24341	161	43	(	(	PUNCT
bibechana-24341	161	44	4.2	4.2	NUM
bibechana-24341	161	45	)	)	PUNCT
bibechana-24341	161	46	,	,	PUNCT
bibechana-24341	161	47	(	(	PUNCT
bibechana-24341	161	48	4.3	4.3	NUM
bibechana-24341	161	49	)	)	PUNCT
bibechana-24341	161	50	,	,	PUNCT
bibechana-24341	161	51	(	(	PUNCT
bibechana-24341	161	52	4.7	4.7	NUM
bibechana-24341	161	53	)	)	PUNCT
bibechana-24341	161	54	and	and	CCONJ
bibechana-24341	161	55	(	(	PUNCT
bibechana-24341	161	56	4.8	4.8	NUM
bibechana-24341	161	57	)	)	PUNCT
bibechana-24341	161	58	we	we	PRON
bibechana-24341	161	59	get	get	VERB
bibechana-24341	161	60			NOUN
bibechana-24341	161	61			PUNCT
bibechana-24341	161	62			NOUN
bibechana-24341	161	63			SYM
bibechana-24341	161	64			NOUN
bibechana-24341	161	65			SYM
bibechana-24341	161	66			NOUN
bibechana-24341	161	67			PROPN
bibechana-24341	161	68			ADJ
bibechana-24341	161	69			VERB
bibechana-24341	161	70			PROPN
bibechana-24341	161	71			NOUN
bibechana-24341	161	72			VERB
bibechana-24341	161	73			PROPN
bibechana-24341	161	74			NOUN
bibechana-24341	161	75			VERB
bibechana-24341	161	76			NUM
bibechana-24341	161	77			NOUN
bibechana-24341	161	78	.,2	.,2	PROPN
bibechana-24341	161	79	,	,	PUNCT
bibechana-24341	161	80	,	,	PUNCT
bibechana-24341	161	81	,	,	PUNCT
bibechana-24341	161	82	,	,	PUNCT
bibechana-24341	161	83	,	,	PUNCT
bibechana-24341	161	84	,	,	PUNCT
bibechana-24341	161	85	,	,	PUNCT
bibechana-24341	161	86	,	,	PUNCT
bibechana-24341	161	87	,	,	PUNCT
bibechana-24341	161	88	,	,	PUNCT
bibechana-24341	161	89	2	2	NUM
bibechana-24341	161	90	11	11	NUM
bibechana-24341	161	91	311113131	311113131	NUM
bibechana-24341	161	92	311113131	311113131	NUM
bibechana-24341	161	93	131	131	NUM
bibechana-24341	161	94	eeg	eeg	PROPN
bibechana-24341	161	95	eeegeeegeeeg	eeegeeegeeeg	NOUN
bibechana-24341	161	96	eegeeegeeege	eegeeegeeege	PROPN
bibechana-24341	161	97	eeg	eeg	PROPN
bibechana-24341	161	98	e	e	NOUN
bibechana-24341	161	99			ADJ
bibechana-24341	161	100			PROPN
bibechana-24341	161	101			NOUN
bibechana-24341	161	102			VERB
bibechana-24341	161	103	similarly	similarly	ADV
bibechana-24341	161	104	,	,	PUNCT
bibechana-24341	161	105	we	we	PRON
bibechana-24341	161	106	can	can	AUX
bibechana-24341	161	107	obtain	obtain	VERB
bibechana-24341	161	108			NOUN
bibechana-24341	161	109			PUNCT
bibechana-24341	161	110			NOUN
bibechana-24341	161	111			PROPN
bibechana-24341	161	112	21231	21231	NUM
bibechana-24341	161	113	,	,	PUNCT
bibechana-24341	161	114	20,2	20,2	NOUN
bibechana-24341	161	115	eegeeg	eegeeg	ADJ
bibechana-24341	161	116	e	e	NOUN
bibechana-24341	161	117			PROPN
bibechana-24341	161	118	and	and	CCONJ
bibechana-24341	161	119			NOUN
bibechana-24341	161	120			SYM
bibechana-24341	161	121			PROPN
bibechana-24341	161	122	.,20,2	.,20,2	NOUN
bibechana-24341	161	123	31331	31331	NUM
bibechana-24341	161	124	eegeeg	eegeeg	ADJ
bibechana-24341	161	125	e	e	PROPN
bibechana-24341	161	126			PROPN
bibechana-24341	161	127	from	from	ADP
bibechana-24341	161	128	above	above	ADP
bibechana-24341	161	129	we	we	PRON
bibechana-24341	161	130	can	can	AUX
bibechana-24341	161	131	write	write	VERB
bibechana-24341	161	132			NOUN
bibechana-24341	161	133			SYM
bibechana-24341	161	134			NOUN
bibechana-24341	161	135	xegxeg	xegxeg	PUNCT
bibechana-24341	161	136	e	e	NOUN
bibechana-24341	161	137	,	,	PUNCT
bibechana-24341	161	138	2,2	2,2	NUM
bibechana-24341	161	139	131	131	NUM
bibechana-24341	161	140			NOUN
bibechana-24341	161	141	for	for	ADP
bibechana-24341	161	142	all	all	DET
bibechana-24341	161	143			PROPN
bibechana-24341	161	144	.mx	.mx	PUNCT
bibechana-24341	161	145			VERB
bibechana-24341	161	146	thus	thus	ADV
bibechana-24341	161	147	.	.	PUNCT
bibechana-24341	162	1	131	131	NUM
bibechana-24341	162	2	ee	ee	PROPN
bibechana-24341	162	3	e	e	PROPN
bibechana-24341	162	4			PROPN
bibechana-24341	162	5	proceeding	proceed	VERB
bibechana-24341	162	6	same	same	ADJ
bibechana-24341	162	7	way	way	NOUN
bibechana-24341	162	8	we	we	PRON
bibechana-24341	162	9	obtain	obtain	VERB
bibechana-24341	162	10	.0	.0	NUM
bibechana-24341	162	11	,	,	PUNCT
bibechana-24341	162	12	0	0	NUM
bibechana-24341	162	13	,	,	PUNCT
bibechana-24341	162	14	,	,	PUNCT
bibechana-24341	162	15	,	,	PUNCT
bibechana-24341	162	16	,	,	PUNCT
bibechana-24341	162	17	0	0	NUM
bibechana-24341	162	18	,	,	PUNCT
bibechana-24341	162	19	132333	132333	NUM
bibechana-24341	162	20	12322	12322	NUM
bibechana-24341	162	21	232311e	232311e	NOUN
bibechana-24341	162	22	21131	21131	NUM
bibechana-24341	162	23			NUM
bibechana-24341	162	24			PROPN
bibechana-24341	162	25			NUM
bibechana-24341	162	26			NUM
bibechana-24341	162	27			ADP
bibechana-24341	162	28			VERB
bibechana-24341	162	29			PROPN
bibechana-24341	162	30			PROPN
bibechana-24341	162	31			PROPN
bibechana-24341	162	32	eee	eee	PROPN
bibechana-24341	162	33	eee	eee	PROPN
bibechana-24341	162	34	eeee	eeee	PROPN
bibechana-24341	162	35	eee	eee	PROPN
bibechana-24341	162	36	eee	eee	PROPN
bibechana-24341	162	37	ee	ee	PROPN
bibechana-24341	162	38	e	e	PROPN
bibechana-24341	162	39	ee	ee	PROPN
bibechana-24341	162	40	(	(	PUNCT
bibechana-24341	162	41	4.9	4.9	NUM
bibechana-24341	162	42	)	)	PUNCT
bibechana-24341	162	43	now	now	ADV
bibechana-24341	162	44	,	,	PUNCT
bibechana-24341	162	45	we	we	PRON
bibechana-24341	162	46	have	have	VERB
bibechana-24341	162	47			NOUN
bibechana-24341	162	48			PUNCT
bibechana-24341	162	49			NOUN
bibechana-24341	162	50			PROPN
bibechana-24341	162	51	.	.	PUNCT
bibechana-24341	163	1	3	3	NUM
bibechana-24341	163	2	311	311	NUM
bibechana-24341	163	3	111111	111111	NUM
bibechana-24341	163	4	e	e	X
bibechana-24341	163	5	ee	ee	ADP
bibechana-24341	163	6	eee	eee	PROPN
bibechana-24341	163	7	e	e	PROPN
bibechana-24341	163	8	eee	eee	PROPN
bibechana-24341	163	9			PROPN
bibechana-24341	163	10			NOUN
bibechana-24341	163	11			PROPN
bibechana-24341	163	12			PROPN
bibechana-24341	163	13			PROPN
bibechana-24341	163	14	again	again	ADV
bibechana-24341	163	15	,	,	PUNCT
bibechana-24341	163	16	from	from	ADP
bibechana-24341	163	17	definition	definition	NOUN
bibechana-24341	163	18	and	and	CCONJ
bibechana-24341	163	19	by	by	ADP
bibechana-24341	163	20	the	the	DET
bibechana-24341	163	21	use	use	NOUN
bibechana-24341	163	22	of	of	ADP
bibechana-24341	163	23	(	(	PUNCT
bibechana-24341	163	24	2.5	2.5	NUM
bibechana-24341	163	25	)	)	PUNCT
bibechana-24341	163	26	we	we	PRON
bibechana-24341	163	27	obtain	obtain	VERB
bibechana-24341	163	28			NOUN
bibechana-24341	163	29			PUNCT
bibechana-24341	163	30			NOUN
bibechana-24341	163	31			SYM
bibechana-24341	163	32			NOUN
bibechana-24341	163	33			SYM
bibechana-24341	163	34			NOUN
bibechana-24341	163	35			SYM
bibechana-24341	163	36			NOUN
bibechana-24341	163	37			PROPN
bibechana-24341	163	38	.	.	PUNCT
bibechana-24341	164	1	2	2	NUM
bibechana-24341	164	2	,	,	PUNCT
bibechana-24341	164	3	3	3	NUM
bibechana-24341	164	4	31111311	31111311	NUM
bibechana-24341	164	5	11	11	NUM
bibechana-24341	164	6	e	e	NOUN
bibechana-24341	164	7	eeeeeeeeg	eeeeeeeeg	NOUN
bibechana-24341	164	8	e	e	PROPN
bibechana-24341	164	9	e	e	PROPN
bibechana-24341	164	10			PROPN
bibechana-24341	164	11			PUNCT
bibechana-24341	164	12			NOUN
bibechana-24341	164	13			ADP
bibechana-24341	164	14			ADJ
bibechana-24341	164	15	similarly	similarly	ADV
bibechana-24341	164	16	,	,	PUNCT
bibechana-24341	164	17	we	we	PRON
bibechana-24341	164	18	obtain	obtain	VERB
bibechana-24341	164	19	other	other	ADJ
bibechana-24341	164	20	relations	relation	NOUN
bibechana-24341	164	21	.	.	PUNCT
bibechana-24341	165	1	thus	thus	ADV
bibechana-24341	165	2	we	we	PRON
bibechana-24341	165	3	have	have	VERB
bibechana-24341	165	4			NOUN
bibechana-24341	165	5			PUNCT
bibechana-24341	165	6			NOUN
bibechana-24341	165	7			SYM
bibechana-24341	165	8			NOUN
bibechana-24341	165	9			SYM
bibechana-24341	165	10			NOUN
bibechana-24341	165	11			SYM
bibechana-24341	165	12			NOUN
bibechana-24341	165	13			SYM
bibechana-24341	165	14			NOUN
bibechana-24341	165	15			SYM
bibechana-24341	165	16			NOUN
bibechana-24341	165	17			SYM
bibechana-24341	165	18			NOUN
bibechana-24341	165	19			SYM
bibechana-24341	165	20			NOUN
bibechana-24341	165	21			PUNCT
bibechana-24341	166	1			NUM
bibechana-24341	166	2			PROPN
bibechana-24341	166	3			NUM
bibechana-24341	166	4			NUM
bibechana-24341	166	5			NUM
bibechana-24341	166	6			NOUN
bibechana-24341	166	7			NOUN
bibechana-24341	167	1			PROPN
bibechana-24341	167	2			PROPN
bibechana-24341	167	3			PROPN
bibechana-24341	167	4			PROPN
bibechana-24341	167	5	.0	.0	NUM
bibechana-24341	167	6	,	,	PUNCT
bibechana-24341	167	7	0,0	0,0	NOUN
bibechana-24341	167	8	,	,	PUNCT
bibechana-24341	167	9	,	,	PUNCT
bibechana-24341	167	10	,	,	PUNCT
bibechana-24341	167	11	0	0	NUM
bibechana-24341	167	12	,	,	PUNCT
bibechana-24341	167	13	,	,	PUNCT
bibechana-24341	167	14	0	0	NUM
bibechana-24341	167	15	,	,	PUNCT
bibechana-24341	167	16	33	33	NUM
bibechana-24341	167	17	2313	2313	NUM
bibechana-24341	167	18	232322	232322	NUM
bibechana-24341	167	19	12131	12131	NUM
bibechana-24341	167	20	21311	21311	NUM
bibechana-24341	167	21	e	e	NOUN
bibechana-24341	167	22	ee	ee	PROPN
bibechana-24341	167	23	eeee	eeee	PROPN
bibechana-24341	167	24	eee	eee	PROPN
bibechana-24341	167	25	eee	eee	PROPN
bibechana-24341	167	26	e	e	PROPN
bibechana-24341	167	27	ee	ee	NOUN
bibechana-24341	167	28	ee	ee	INTJ
bibechana-24341	167	29	ee	ee	PROPN
bibechana-24341	167	30	ee	ee	ADP
bibechana-24341	167	31			PROPN
bibechana-24341	167	32			PROPN
bibechana-24341	167	33			ADJ
bibechana-24341	167	34			ADJ
bibechana-24341	167	35			PROPN
bibechana-24341	167	36	(	(	PUNCT
bibechana-24341	167	37	4.10	4.10	NUM
bibechana-24341	167	38	)	)	PUNCT
bibechana-24341	167	39	from	from	ADP
bibechana-24341	167	40	(	(	PUNCT
bibechana-24341	167	41	4.5	4.5	NUM
bibechana-24341	167	42	)	)	PUNCT
bibechana-24341	167	43	,	,	PUNCT
bibechana-24341	167	44	(	(	PUNCT
bibechana-24341	167	45	4.6	4.6	NUM
bibechana-24341	167	46	)	)	PUNCT
bibechana-24341	167	47	,	,	PUNCT
bibechana-24341	167	48	(	(	PUNCT
bibechana-24341	167	49	4.9	4.9	NUM
bibechana-24341	167	50	)	)	PUNCT
bibechana-24341	167	51	and	and	CCONJ
bibechana-24341	167	52	(	(	PUNCT
bibechana-24341	167	53	4.10	4.10	NUM
bibechana-24341	167	54	)	)	PUNCT
bibechana-24341	167	55	,	,	PUNCT
bibechana-24341	167	56	we	we	PRON
bibechana-24341	167	57	see	see	VERB
bibechana-24341	167	58	that	that	SCONJ
bibechana-24341	167	59	the	the	DET
bibechana-24341	167	60	equations	equation	NOUN
bibechana-24341	167	61	(	(	PUNCT
bibechana-24341	167	62	2.1	2.1	NUM
bibechana-24341	167	63	)	)	PUNCT
bibechana-24341	167	64	(	(	PUNCT
bibechana-24341	167	65	2.5	2.5	NUM
bibechana-24341	167	66	)	)	PUNCT
bibechana-24341	167	67	are	be	AUX
bibechana-24341	167	68	satisfied	satisfied	ADJ
bibechana-24341	167	69	by	by	ADP
bibechana-24341	167	70	the	the	DET
bibechana-24341	167	71	manifold	manifold	ADJ
bibechana-24341	167	72	,	,	PUNCT
bibechana-24341	167	73	m	m	VERB
bibechana-24341	167	74	for	for	ADP
bibechana-24341	167	75	.	.	PUNCT
bibechana-24341	168	1	3	3	NUM
bibechana-24341	168	2	e	e	NOUN
bibechana-24341	168	3	hence	hence	ADV
bibechana-24341	168	4			NOUN
bibechana-24341	168	5	g	g	PROPN
bibechana-24341	168	6	,	,	PUNCT
bibechana-24341	168	7	,	,	PUNCT
bibechana-24341	168	8	,	,	PUNCT
bibechana-24341	168	9			X
bibechana-24341	168	10	is	be	AUX
bibechana-24341	168	11	an	an	DET
bibechana-24341	168	12	lp	lp	ADJ
bibechana-24341	168	13	-	-	ADJ
bibechana-24341	168	14	sasakian	sasakian	ADJ
bibechana-24341	168	15	structure	structure	NOUN
bibechana-24341	168	16	in	in	ADP
bibechana-24341	168	17	.m	.m	PROPN
bibechana-24341	168	18	consequently	consequently	ADV
bibechana-24341	168	19			NOUN
bibechana-24341	168	20	gm	gm	NOUN
bibechana-24341	168	21	,	,	PUNCT
bibechana-24341	168	22	,	,	PUNCT
bibechana-24341	168	23	,	,	PUNCT
bibechana-24341	168	24	3	3	NUM
bibechana-24341	168	25			X
bibechana-24341	168	26	is	be	AUX
bibechana-24341	168	27	an	an	DET
bibechana-24341	168	28	lp	lp	ADJ
bibechana-24341	168	29	-	-	ADJ
bibechana-24341	168	30	sasakian	sasakian	ADJ
bibechana-24341	168	31	manifold	manifold	NOUN
bibechana-24341	168	32	.	.	PUNCT
bibechana-24341	169	1	now	now	ADV
bibechana-24341	169	2	,	,	PUNCT
bibechana-24341	169	3	the	the	DET
bibechana-24341	169	4	riemannian	riemannian	ADJ
bibechana-24341	169	5	curvature	curvature	NOUN
bibechana-24341	169	6	tensor	tensor	NOUN
bibechana-24341	169	7	is	be	AUX
bibechana-24341	169	8	defined	define	VERB
bibechana-24341	169	9	by	by	ADP
bibechana-24341	169	10			NOUN
bibechana-24341	169	11			PROPN
bibechana-24341	169	12			PROPN
bibechana-24341	169	13			PROPN
bibechana-24341	169	14	.	.	PUNCT
bibechana-24341	170	1	,	,	PUNCT
bibechana-24341	170	2	,	,	PUNCT
bibechana-24341	170	3	zzzzyxr	zzzzyxr	PROPN
bibechana-24341	170	4	yx	yx	PROPN
bibechana-24341	170	5	xyyx	xyyx	PROPN
bibechana-24341	170	6			PUNCT
bibechana-24341	170	7	(	(	PUNCT
bibechana-24341	170	8	4.11	4.11	NUM
bibechana-24341	170	9	)	)	PUNCT
bibechana-24341	170	10	by	by	ADP
bibechana-24341	170	11	virtue	virtue	NOUN
bibechana-24341	170	12	of	of	ADP
bibechana-24341	170	13	(	(	PUNCT
bibechana-24341	170	14	4.7	4.7	NUM
bibechana-24341	170	15	)	)	PUNCT
bibechana-24341	170	16	,	,	PUNCT
bibechana-24341	170	17	(	(	PUNCT
bibechana-24341	170	18	4.9	4.9	NUM
bibechana-24341	170	19	)	)	PUNCT
bibechana-24341	170	20	and	and	CCONJ
bibechana-24341	170	21	(	(	PUNCT
bibechana-24341	170	22	4.11	4.11	NUM
bibechana-24341	170	23	)	)	PUNCT
bibechana-24341	170	24	we	we	PRON
bibechana-24341	170	25	obtain	obtain	VERB
bibechana-24341	170	26	riddhi	riddhi	ADJ
bibechana-24341	170	27	jung	jung	NOUN
bibechana-24341	170	28	shah	shah	PROPN
bibechana-24341	170	29	/	/	SYM
bibechana-24341	170	30	bibechana	bibechana	PROPN
bibechana-24341	170	31	17	17	NUM
bibechana-24341	170	32	(	(	PUNCT
bibechana-24341	170	33	2020	2020	NUM
bibechana-24341	170	34	)	)	PUNCT
bibechana-24341	170	35	110	110	NUM
bibechana-24341	170	36	-	-	SYM
bibechana-24341	170	37	116	116	NUM
bibechana-24341	170	38	116	116	NUM
bibechana-24341	170	39			NOUN
bibechana-24341	170	40			PROPN
bibechana-24341	170	41			PROPN
bibechana-24341	170	42			PROPN
bibechana-24341	170	43	.0	.0	PROPN
bibechana-24341	170	44	,	,	PUNCT
bibechana-24341	170	45	1221	1221	NUM
bibechana-24341	170	46	32,1312321321	32,1312321321	NUM
bibechana-24341	170	47			NOUN
bibechana-24341	170	48			PUNCT
bibechana-24341	170	49	ee	ee	ADP
bibechana-24341	170	50	eeeeeer	eeeeeer	NOUN
bibechana-24341	170	51	ee	ee	PROPN
bibechana-24341	170	52	eeeeee	eeeeee	NOUN
bibechana-24341	170	53	similarly	similarly	ADV
bibechana-24341	170	54	,	,	PUNCT
bibechana-24341	170	55	we	we	PRON
bibechana-24341	170	56	obtain	obtain	VERB
bibechana-24341	170	57			NOUN
bibechana-24341	170	58			PUNCT
bibechana-24341	170	59			NOUN
bibechana-24341	170	60			SYM
bibechana-24341	170	61			NOUN
bibechana-24341	170	62			SYM
bibechana-24341	170	63			NOUN
bibechana-24341	170	64			SYM
bibechana-24341	170	65			NOUN
bibechana-24341	170	66			SYM
bibechana-24341	170	67			NOUN
bibechana-24341	170	68			SYM
bibechana-24341	170	69			NOUN
bibechana-24341	170	70			SYM
bibechana-24341	170	71			NOUN
bibechana-24341	170	72			SYM
bibechana-24341	170	73			NOUN
bibechana-24341	170	74			SYM
bibechana-24341	170	75			NOUN
bibechana-24341	170	76			SYM
bibechana-24341	170	77			NOUN
bibechana-24341	170	78			SYM
bibechana-24341	170	79			NOUN
bibechana-24341	170	80			PUNCT
bibechana-24341	171	1			NUM
bibechana-24341	171	2			PROPN
bibechana-24341	171	3			NUM
bibechana-24341	171	4			NUM
bibechana-24341	171	5			NUM
bibechana-24341	171	6			ADV
bibechana-24341	171	7			NUM
bibechana-24341	171	8			NOUN
bibechana-24341	171	9			NOUN
bibechana-24341	171	10			NOUN
bibechana-24341	171	11			NOUN
bibechana-24341	171	12			NUM
bibechana-24341	171	13	.0	.0	NUM
bibechana-24341	171	14	,	,	PUNCT
bibechana-24341	171	15	,	,	PUNCT
bibechana-24341	171	16	0	0	NUM
bibechana-24341	171	17	,	,	PUNCT
bibechana-24341	171	18	,	,	PUNCT
bibechana-24341	171	19	,	,	PUNCT
bibechana-24341	171	20	,	,	PUNCT
bibechana-24341	171	21	0	0	NUM
bibechana-24341	171	22	,	,	PUNCT
bibechana-24341	171	23	,	,	PUNCT
bibechana-24341	171	24	,	,	PUNCT
bibechana-24341	171	25	,	,	PUNCT
bibechana-24341	171	26	0	0	NUM
bibechana-24341	171	27	,	,	PUNCT
bibechana-24341	171	28	,	,	PUNCT
bibechana-24341	171	29	,	,	PUNCT
bibechana-24341	171	30	,	,	PUNCT
bibechana-24341	171	31	,	,	PUNCT
bibechana-24341	171	32	,	,	PUNCT
bibechana-24341	171	33	,	,	PUNCT
bibechana-24341	171	34	,	,	PUNCT
bibechana-24341	171	35	,	,	PUNCT
bibechana-24341	171	36	,	,	PUNCT
bibechana-24341	171	37	0	0	NUM
bibechana-24341	171	38	,	,	PUNCT
bibechana-24341	171	39	333222	333222	NUM
bibechana-24341	171	40	1113131	1113131	NUM
bibechana-24341	171	41	1322121	1322121	NUM
bibechana-24341	171	42	2313232	2313232	NUM
bibechana-24341	171	43	12211331	12211331	NUM
bibechana-24341	171	44	2332321	2332321	NUM
bibechana-24341	171	45	eeereeer	eeereeer	NOUN
bibechana-24341	171	46	eeereeeer	eeereeeer	NOUN
bibechana-24341	171	47	eeereeeer	eeereeeer	NOUN
bibechana-24341	171	48	eeereeeer	eeereeeer	NOUN
bibechana-24341	171	49	eeeereeeer	eeeereeeer	NOUN
bibechana-24341	171	50	eeeereeer	eeeereeer	NOUN
bibechana-24341	171	51	(	(	PUNCT
bibechana-24341	171	52	4.12	4.12	NUM
bibechana-24341	171	53	)	)	PUNCT
bibechana-24341	171	54	by	by	ADP
bibechana-24341	171	55	the	the	DET
bibechana-24341	171	56	use	use	NOUN
bibechana-24341	171	57	of	of	ADP
bibechana-24341	171	58	(	(	PUNCT
bibechana-24341	171	59	4.12	4.12	NUM
bibechana-24341	171	60	)	)	PUNCT
bibechana-24341	171	61	we	we	PRON
bibechana-24341	171	62	get	get	VERB
bibechana-24341	171	63			NOUN
bibechana-24341	171	64			PUNCT
bibechana-24341	171	65			NOUN
bibechana-24341	172	1			NOUN
bibechana-24341	173	1			PUNCT
bibechana-24341	173	2			PROPN
bibechana-24341	173	3			NOUN
bibechana-24341	174	1			PUNCT
bibechana-24341	174	2			PROPN
bibechana-24341	174	3			NOUN
bibechana-24341	175	1			PUNCT
bibechana-24341	175	2			NOUN
bibechana-24341	175	3			PUNCT
bibechana-24341	175	4			NOUN
bibechana-24341	175	5			PROPN
bibechana-24341	175	6	.0	.0	NUM
bibechana-24341	175	7	,	,	PUNCT
bibechana-24341	175	8	,	,	PUNCT
bibechana-24341	175	9	,	,	PUNCT
bibechana-24341	175	10	,	,	PUNCT
bibechana-24341	175	11	,	,	PUNCT
bibechana-24341	175	12	,	,	PUNCT
bibechana-24341	175	13	,	,	PUNCT
bibechana-24341	175	14	1111	1111	NUM
bibechana-24341	175	15	1331	1331	NUM
bibechana-24341	175	16	3	3	NUM
bibechana-24341	175	17	1	1	NUM
bibechana-24341	175	18	122111	122111	NUM
bibechana-24341	175	19	11	11	NUM
bibechana-24341	175	20	,	,	PUNCT
bibechana-24341	175	21	,	,	PUNCT
bibechana-24341	176	1			PROPN
bibechana-24341	176	2			PROPN
bibechana-24341	176	3			NUM
bibechana-24341	176	4			NUM
bibechana-24341	176	5			ADV
bibechana-24341	176	6			X
bibechana-24341	176	7			NUM
bibechana-24341	176	8	eegeeg	eegeeg	PROPN
bibechana-24341	176	9	eeeergeeeerg	eeeergeeeerg	PROPN
bibechana-24341	176	10	ees	ees	PROPN
bibechana-24341	176	11	eeeerg	eeeerg	PROPN
bibechana-24341	176	12	i	i	PROPN
bibechana-24341	176	13	ii	ii	VERB
bibechana-24341	176	14	similarly	similarly	ADV
bibechana-24341	176	15	,	,	PUNCT
bibechana-24341	176	16	we	we	PRON
bibechana-24341	176	17	obtain	obtain	VERB
bibechana-24341	176	18			NOUN
bibechana-24341	176	19			PROPN
bibechana-24341	176	20	0	0	NUM
bibechana-24341	176	21	,	,	PUNCT
bibechana-24341	176	22	22	22	NUM
bibechana-24341	176	23	ees	ee	NOUN
bibechana-24341	176	24	and	and	CCONJ
bibechana-24341	176	25			NOUN
bibechana-24341	176	26			PROPN
bibechana-24341	176	27	.2	.2	NUM
bibechana-24341	176	28	,	,	PUNCT
bibechana-24341	176	29	33	33	NUM
bibechana-24341	176	30	ees	ee	NOUN
bibechana-24341	176	31	thus	thus	ADV
bibechana-24341	176	32	we	we	PRON
bibechana-24341	176	33	have	have	VERB
bibechana-24341	176	34			NOUN
bibechana-24341	176	35			PUNCT
bibechana-24341	176	36			NOUN
bibechana-24341	176	37			SYM
bibechana-24341	176	38			NOUN
bibechana-24341	176	39			NOUN
bibechana-24341	176	40			NUM
bibechana-24341	176	41			NOUN
bibechana-24341	176	42			ADJ
bibechana-24341	176	43			NUM
bibechana-24341	176	44	.2	.2	NUM
bibechana-24341	176	45	,	,	PUNCT
bibechana-24341	176	46	,	,	PUNCT
bibechana-24341	176	47	0	0	NUM
bibechana-24341	176	48	,	,	PUNCT
bibechana-24341	176	49	,	,	PUNCT
bibechana-24341	176	50	33	33	NUM
bibechana-24341	176	51	2211	2211	NUM
bibechana-24341	176	52	ees	ees	PROPN
bibechana-24341	176	53	eesees	eesee	NOUN
bibechana-24341	176	54	(	(	PUNCT
bibechana-24341	176	55	4.13	4.13	NUM
bibechana-24341	176	56	)	)	PUNCT
bibechana-24341	176	57	from	from	ADP
bibechana-24341	176	58	(	(	PUNCT
bibechana-24341	176	59	2.13	2.13	NUM
bibechana-24341	176	60	)	)	PUNCT
bibechana-24341	176	61	we	we	PRON
bibechana-24341	176	62	have	have	VERB
bibechana-24341	176	63			NOUN
bibechana-24341	177	1			PUNCT
bibechana-24341	177	2			NOUN
bibechana-24341	177	3			SYM
bibechana-24341	177	4			NOUN
bibechana-24341	177	5			ADJ
bibechana-24341	177	6	.	.	NOUN
bibechana-24341	177	7	,	,	PUNCT
bibechana-24341	177	8	,	,	PUNCT
bibechana-24341	177	9	,	,	PUNCT
bibechana-24341	177	10	iiiiii	iiiiii	PROPN
bibechana-24341	177	11	eegeegees	eegeegee	NOUN
bibechana-24341	177	12			VERB
bibechana-24341	177	13			NUM
bibechana-24341	177	14	this	this	DET
bibechana-24341	177	15	equation	equation	NOUN
bibechana-24341	177	16	yields	yield	VERB
bibechana-24341	177	17			NOUN
bibechana-24341	177	18			SYM
bibechana-24341	177	19			NOUN
bibechana-24341	177	20			PROPN
bibechana-24341	177	21			NOUN
bibechana-24341	177	22	,1	,1	ADJ
bibechana-24341	177	23	,	,	PUNCT
bibechana-24341	177	24	,	,	PUNCT
bibechana-24341	177	25	2211	2211	NUM
bibechana-24341	177	26			VERB
bibechana-24341	177	27	eesees	eesee	NOUN
bibechana-24341	177	28	by	by	ADP
bibechana-24341	177	29	the	the	DET
bibechana-24341	177	30	use	use	NOUN
bibechana-24341	177	31	of	of	ADP
bibechana-24341	177	32	(	(	PUNCT
bibechana-24341	177	33	4.3	4.3	NUM
bibechana-24341	177	34	)	)	PUNCT
bibechana-24341	177	35	,	,	PUNCT
bibechana-24341	177	36	(	(	PUNCT
bibechana-24341	177	37	4.4	4.4	NUM
bibechana-24341	177	38	)	)	PUNCT
bibechana-24341	177	39	and	and	CCONJ
bibechana-24341	177	40	(	(	PUNCT
bibechana-24341	177	41	4.13	4.13	NUM
bibechana-24341	177	42	)	)	PUNCT
bibechana-24341	177	43	for	for	ADP
bibechana-24341	177	44	.2	.2	NUM
bibechana-24341	177	45	,	,	PUNCT
bibechana-24341	177	46	1i	1i	NUM
bibechana-24341	177	47	this	this	PRON
bibechana-24341	177	48	implies	imply	VERB
bibechana-24341	177	49	,	,	PUNCT
bibechana-24341	177	50	01	01	NUM
bibechana-24341	177	51			NOUN
bibechana-24341	177	52	for	for	ADP
bibechana-24341	177	53	.2,1i	.2,1i	PROPN
bibechana-24341	177	54	and	and	CCONJ
bibechana-24341	177	55			PROPN
bibechana-24341	177	56			PROPN
bibechana-24341	177	57	,	,	PUNCT
bibechana-24341	177	58	,	,	PUNCT
bibechana-24341	177	59	33	33	NUM
bibechana-24341	177	60	ees	ees	PROPN
bibechana-24341	177	61	for	for	ADP
bibechana-24341	177	62	.3i	.3i	PRON
bibechana-24341	178	1	this	this	DET
bibechana-24341	178	2	yields	yield	NOUN
bibechana-24341	178	3	.02	.02	NUM
bibechana-24341	178	4			PRON
bibechana-24341	178	5	since	since	SCONJ
bibechana-24341	178	6	01	01	NOUN
bibechana-24341	178	7	for	for	ADP
bibechana-24341	178	8	2,1i	2,1i	PROPN
bibechana-24341	178	9	and	and	CCONJ
bibechana-24341	178	10	02	02	NUM
bibechana-24341	178	11			PROPN
bibechana-24341	178	12	for	for	ADP
bibechana-24341	178	13	,	,	PUNCT
bibechana-24341	178	14	3i	3i	NUM
bibechana-24341	178	15	this	this	PRON
bibechana-24341	178	16	is	be	AUX
bibechana-24341	178	17	an	an	DET
bibechana-24341	178	18	example	example	NOUN
bibechana-24341	178	19	of	of	ADP
bibechana-24341	178	20	expanding	expand	VERB
bibechana-24341	178	21	and	and	CCONJ
bibechana-24341	178	22	shrinking	shrink	VERB
bibechana-24341	178	23	ricci	ricci	PROPN
bibechana-24341	178	24	soliton	soliton	NOUN
bibechana-24341	178	25	in	in	ADP
bibechana-24341	178	26	3	3	NUM
bibechana-24341	178	27	-	-	PUNCT
bibechana-24341	178	28	dimensional	dimensional	ADJ
bibechana-24341	178	29	lp	lp	ADJ
bibechana-24341	178	30	-	-	ADJ
bibechana-24341	178	31	sasakian	sasakian	ADJ
bibechana-24341	178	32	manifold	manifold	NOUN
bibechana-24341	178	33	.	.	PUNCT
bibechana-24341	179	1	5	5	X
bibechana-24341	179	2	.	.	X
bibechana-24341	179	3	conclusions	conclusion	NOUN
bibechana-24341	179	4	in	in	ADP
bibechana-24341	179	5	this	this	DET
bibechana-24341	179	6	paper	paper	NOUN
bibechana-24341	179	7	,	,	PUNCT
bibechana-24341	179	8	we	we	PRON
bibechana-24341	179	9	have	have	AUX
bibechana-24341	179	10	investigated	investigate	VERB
bibechana-24341	179	11	that	that	SCONJ
bibechana-24341	179	12	the	the	DET
bibechana-24341	179	13	ricci	ricci	PROPN
bibechana-24341	179	14	soliton	soliton	NOUN
bibechana-24341	179	15	in	in	ADP
bibechana-24341	179	16	a	a	DET
bibechana-24341	179	17			PROPN
bibechana-24341	179	18	12	12	PROPN
bibechana-24341	180	1	n	n	PROPN
bibechana-24341	180	2	-dimensinal	-dimensinal	ADJ
bibechana-24341	180	3	lpsasakian	lpsasakian	ADJ
bibechana-24341	180	4	manifold	manifold	NOUN
bibechana-24341	180	5	is	be	AUX
bibechana-24341	180	6	shrinking	shrink	VERB
bibechana-24341	180	7	.	.	PUNCT
bibechana-24341	181	1	it	it	PRON
bibechana-24341	181	2	is	be	AUX
bibechana-24341	181	3	also	also	ADV
bibechana-24341	181	4	proved	prove	VERB
bibechana-24341	181	5	that	that	SCONJ
bibechana-24341	181	6	ricci	ricci	PROPN
bibechana-24341	181	7	solitons	soliton	NOUN
bibechana-24341	181	8	in	in	ADP
bibechana-24341	181	9	an	an	DET
bibechana-24341	181	10	lp	lp	ADJ
bibechana-24341	181	11	-	-	ADJ
bibechana-24341	181	12	sasakian	sasakian	ADJ
bibechana-24341	181	13	manifold	manifold	NOUN
bibechana-24341	181	14	satisfying	satisfy	VERB
bibechana-24341	181	15	the	the	DET
bibechana-24341	181	16	derivation	derivation	NOUN
bibechana-24341	181	17	conditions	condition	NOUN
bibechana-24341	181	18			NOUN
bibechana-24341	181	19			PROPN
bibechana-24341	181	20	,	,	PUNCT
bibechana-24341	181	21	0	0	NUM
bibechana-24341	181	22	.	.	NUM
bibechana-24341	181	23	,	,	PUNCT
bibechana-24341	181	24	2	2	NUM
bibechana-24341	181	25	wxr	wxr	NOUN
bibechana-24341	181	26			NOUN
bibechana-24341	181	27			NOUN
bibechana-24341	181	28			PROPN
bibechana-24341	181	29	0	0	NUM
bibechana-24341	181	30	.	.	NUM
bibechana-24341	181	31	,	,	PUNCT
bibechana-24341	181	32	42	42	NUM
bibechana-24341	181	33	wxw	wxw	NOUN
bibechana-24341	181	34			NOUN
bibechana-24341	181	35	and	and	CCONJ
bibechana-24341	181	36			NOUN
bibechana-24341	181	37			PROPN
bibechana-24341	181	38	0	0	NUM
bibechana-24341	181	39	.	.	NUM
bibechana-24341	181	40	,	,	PUNCT
bibechana-24341	181	41	24	24	NUM
bibechana-24341	181	42	wxw	wxw	NOUN
bibechana-24341	181	43			NOUN
bibechana-24341	181	44	are	be	AUX
bibechana-24341	181	45	shrinking	shrink	VERB
bibechana-24341	181	46	but	but	CCONJ
bibechana-24341	181	47	are	be	AUX
bibechana-24341	181	48	steady	steady	ADJ
bibechana-24341	181	49	for	for	ADP
bibechana-24341	181	50	the	the	DET
bibechana-24341	181	51	condition	condition	NOUN
bibechana-24341	181	52			NOUN
bibechana-24341	181	53			PROPN
bibechana-24341	181	54	.0	.0	NUM
bibechana-24341	181	55	.	.	PUNCT
bibechana-24341	182	1	,	,	PUNCT
bibechana-24341	182	2	2	2	NUM
bibechana-24341	182	3	sxw	sxw	NOUN
bibechana-24341	182	4			VERB
bibechana-24341	182	5	references	reference	NOUN
bibechana-24341	182	6	[	[	X
bibechana-24341	182	7	1	1	NUM
bibechana-24341	182	8	]	]	PUNCT
bibechana-24341	182	9	r.	r.	PROPN
bibechana-24341	182	10	s.	s.	PROPN
bibechana-24341	182	11	hamilton	hamilton	PROPN
bibechana-24341	182	12	,	,	PUNCT
bibechana-24341	182	13	the	the	DET
bibechana-24341	182	14	ricci	ricci	PROPN
bibechana-24341	182	15	flow	flow	NOUN
bibechana-24341	182	16	on	on	ADP
bibechana-24341	182	17	surfaces	surface	NOUN
bibechana-24341	182	18	,	,	PUNCT
bibechana-24341	182	19	mathematical	mathematical	ADJ
bibechana-24341	182	20	and	and	CCONJ
bibechana-24341	182	21	general	general	ADJ
bibechana-24341	182	22	relativity	relativity	NOUN
bibechana-24341	182	23	(	(	PUNCT
bibechana-24341	182	24	santa	santa	PROPN
bibechana-24341	182	25	cruz	cruz	PROPN
bibechana-24341	182	26	.	.	PUNCT
bibechana-24341	183	1	ca	can	AUX
bibechana-24341	183	2	.	.	PUNCT
bibechana-24341	184	1	(	(	PUNCT
bibechana-24341	184	2	1986	1986	NUM
bibechana-24341	184	3	)	)	PUNCT
bibechana-24341	184	4	237	237	NUM
bibechana-24341	184	5	-	-	SYM
bibechana-24341	184	6	262	262	NUM
bibechana-24341	184	7	.	.	PUNCT
bibechana-24341	185	1	[	[	X
bibechana-24341	185	2	2	2	X
bibechana-24341	185	3	]	]	PUNCT
bibechana-24341	185	4	t.	t.	NOUN
bibechana-24341	185	5	chave	chave	PROPN
bibechana-24341	185	6	,	,	PUNCT
bibechana-24341	185	7	g.	g.	PROPN
bibechana-24341	185	8	valent	valent	PROPN
bibechana-24341	185	9	,	,	PUNCT
bibechana-24341	185	10	quasi	quasi	ADJ
bibechana-24341	185	11	-	-	ADJ
bibechana-24341	185	12	einstein	einstein	ADJ
bibechana-24341	185	13	metrics	metric	NOUN
bibechana-24341	185	14	and	and	CCONJ
bibechana-24341	185	15	their	their	PRON
bibechana-24341	185	16	renoirmalizability	renoirmalizability	NOUN
bibechana-24341	185	17	properties	property	NOUN
bibechana-24341	185	18	,	,	PUNCT
bibechana-24341	185	19	helv	helv	PROPN
bibechana-24341	185	20	phys	phy	NOUN
bibechana-24341	185	21	.	.	PUNCT
bibechana-24341	186	1	acta	acta	PROPN
bibechana-24341	186	2	.	.	PUNCT
bibechana-24341	187	1	69	69	NUM
bibechana-24341	187	2	(	(	PUNCT
bibechana-24341	187	3	1996	1996	NUM
bibechana-24341	187	4	)	)	PUNCT
bibechana-24341	187	5	344	344	NUM
bibechana-24341	187	6	-	-	SYM
bibechana-24341	187	7	347	347	NUM
bibechana-24341	187	8	.	.	PUNCT
bibechana-24341	188	1	[	[	X
bibechana-24341	188	2	3	3	X
bibechana-24341	188	3	]	]	X
bibechana-24341	188	4	d.	d.	PROPN
bibechana-24341	188	5	h.	h.	PROPN
bibechana-24341	188	6	friedan	friedan	PROPN
bibechana-24341	188	7	,	,	PUNCT
bibechana-24341	188	8	nonlinear	nonlinear	ADJ
bibechana-24341	188	9	models	model	NOUN
bibechana-24341	188	10	in	in	ADP
bibechana-24341	188	11	2	2	PROPN
bibechana-24341	188	12	dimensions	dimension	NOUN
bibechana-24341	188	13	,	,	PUNCT
bibechana-24341	188	14	ann	ann	PROPN
bibechana-24341	188	15	.	.	PUNCT
bibechana-24341	188	16	physics	physics	PROPN
bibechana-24341	188	17	.	.	PUNCT
bibechana-24341	189	1	163	163	NUM
bibechana-24341	189	2	(	(	PUNCT
bibechana-24341	189	3	1985	1985	NUM
bibechana-24341	189	4	)	)	PUNCT
bibechana-24341	189	5	318	318	NUM
bibechana-24341	189	6	-	-	SYM
bibechana-24341	189	7	419	419	NUM
bibechana-24341	189	8	.	.	PUNCT
bibechana-24341	190	1	[	[	X
bibechana-24341	190	2	4	4	X
bibechana-24341	190	3	]	]	X
bibechana-24341	190	4	g.	g.	PROPN
bibechana-24341	190	5	perelman	perelman	PROPN
bibechana-24341	190	6	,	,	PUNCT
bibechana-24341	190	7	the	the	DET
bibechana-24341	190	8	entropy	entropy	NOUN
bibechana-24341	190	9	formula	formula	NOUN
bibechana-24341	190	10	for	for	ADP
bibechana-24341	190	11	the	the	DET
bibechana-24341	190	12	ricci	ricci	PROPN
bibechana-24341	190	13	flow	flow	NOUN
bibechana-24341	190	14	and	and	CCONJ
bibechana-24341	190	15	its	its	PRON
bibechana-24341	190	16	geometric	geometric	ADJ
bibechana-24341	190	17	applications	application	NOUN
bibechana-24341	190	18	,	,	PUNCT
bibechana-24341	190	19	arxiv	arxiv	NOUN
bibechana-24341	190	20	:	:	PUNCT
bibechana-24341	190	21	math.dg/02111159vl	math.dg/02111159vl	PROPN
bibechana-24341	190	22	,	,	PUNCT
bibechana-24341	190	23	2002	2002	NUM
bibechana-24341	190	24	.	.	PUNCT
bibechana-24341	191	1	[	[	X
bibechana-24341	191	2	5	5	X
bibechana-24341	191	3	]	]	PUNCT
bibechana-24341	191	4	h.	h.	PROPN
bibechana-24341	191	5	g.	g.	PROPN
bibechana-24341	191	6	nagaraja	nagaraja	PROPN
bibechana-24341	191	7	,	,	PUNCT
bibechana-24341	191	8	c.r	c.r	PROPN
bibechana-24341	191	9	.	.	PROPN
bibechana-24341	191	10	premalatha	premalatha	PROPN
bibechana-24341	191	11	,	,	PUNCT
bibechana-24341	191	12	ricci	ricci	PROPN
bibechana-24341	191	13	solitons	soliton	NOUN
bibechana-24341	191	14	in	in	ADP
bibechana-24341	191	15	kenmotsu	kenmotsu	PROPN
bibechana-24341	191	16	manifolds	manifolds	PROPN
bibechana-24341	191	17	,	,	PUNCT
bibechana-24341	191	18	j.	j.	PROPN
bibechana-24341	191	19	of	of	ADP
bibechana-24341	191	20	mathemati	mathemati	PROPN
bibechana-24341	191	21	-	-	PUNCT
bibechana-24341	191	22	cal	cal	NOUN
bibechana-24341	191	23	analysis	analysis	NOUN
bibechana-24341	191	24	.	.	PUNCT
bibechana-24341	192	1	3(2	3(2	NUM
bibechana-24341	192	2	)	)	PUNCT
bibechana-24341	192	3	(	(	PUNCT
bibechana-24341	192	4	2012	2012	NUM
bibechana-24341	192	5	)	)	PUNCT
bibechana-24341	192	6	18	18	NUM
bibechana-24341	192	7	-	-	SYM
bibechana-24341	192	8	24	24	NUM
bibechana-24341	192	9	.	.	PUNCT
bibechana-24341	193	1	[	[	X
bibechana-24341	193	2	6	6	NUM
bibechana-24341	193	3	]	]	X
bibechana-24341	193	4	v.v	v.v	PROPN
bibechana-24341	193	5	.	.	PROPN
bibechana-24341	193	6	reddy	reddy	PROPN
bibechana-24341	193	7	,	,	PUNCT
bibechana-24341	193	8	r.	r.	PROPN
bibechana-24341	193	9	sharma	sharma	PROPN
bibechana-24341	193	10	,	,	PUNCT
bibechana-24341	193	11	s.	s.	PROPN
bibechana-24341	193	12	sivaramkrishan	sivaramkrishan	PROPN
bibechana-24341	193	13	,	,	PUNCT
bibechana-24341	193	14	space	space	NOUN
bibechana-24341	193	15	times	time	NOUN
bibechana-24341	193	16	through	through	ADP
bibechana-24341	193	17	hawking	hawk	VERB
bibechana-24341	193	18	-	-	PUNCT
bibechana-24341	193	19	ellis	ellis	NOUN
bibechana-24341	193	20	constru	constru	PROPN
bibechana-24341	193	21	-	-	PUNCT
bibechana-24341	193	22	ction	ction	NOUN
bibechana-24341	193	23	with	with	ADP
bibechana-24341	193	24	a	a	DET
bibechana-24341	193	25	back	back	ADJ
bibechana-24341	193	26	ground	ground	NOUN
bibechana-24341	193	27	riemannian	riemannian	ADJ
bibechana-24341	193	28	metric	metric	NOUN
bibechana-24341	193	29	,	,	PUNCT
bibechana-24341	193	30	class	class	NOUN
bibechana-24341	193	31	quant	quant	NOUN
bibechana-24341	193	32	.	.	PUNCT
bibechana-24341	194	1	grav	grav	PROPN
bibechana-24341	194	2	.	.	PUNCT
bibechana-24341	195	1	24	24	NUM
bibechana-24341	195	2	(	(	PUNCT
bibechana-24341	195	3	2007	2007	NUM
bibechana-24341	195	4	)	)	PUNCT
bibechana-24341	195	5	3339	3339	NUM
bibechana-24341	195	6	-	-	SYM
bibechana-24341	195	7	3345	3345	NUM
bibechana-24341	195	8	.	.	PUNCT
bibechana-24341	196	1	[	[	X
bibechana-24341	196	2	7	7	X
bibechana-24341	196	3	]	]	X
bibechana-24341	196	4	r.	r.	PROPN
bibechana-24341	196	5	sharma	sharma	PROPN
bibechana-24341	196	6	,	,	PUNCT
bibechana-24341	196	7	certain	certain	ADJ
bibechana-24341	196	8	results	result	NOUN
bibechana-24341	196	9	on	on	ADP
bibechana-24341	196	10	k	k	NOUN
bibechana-24341	196	11	-	-	NOUN
bibechana-24341	196	12	contact	contact	NOUN
bibechana-24341	196	13	and	and	CCONJ
bibechana-24341	196	14			PROPN
bibechana-24341	196	15	,k	,k	VERB
bibechana-24341	196	16	-contact	-contact	NOUN
bibechana-24341	196	17	manifolds	manifold	NOUN
bibechana-24341	196	18	,	,	PUNCT
bibechana-24341	196	19	j.	j.	PROPN
bibechana-24341	196	20	of	of	ADP
bibechana-24341	196	21	geometry	geometry	NOUN
bibechana-24341	196	22	.	.	PUNCT
bibechana-24341	197	1	89	89	NUM
bibechana-24341	197	2	(	(	PUNCT
bibechana-24341	197	3	2008	2008	NUM
bibechana-24341	197	4	)	)	PUNCT
bibechana-24341	197	5	138	138	NUM
bibechana-24341	197	6	-	-	SYM
bibechana-24341	197	7	147	147	NUM
bibechana-24341	197	8	.	.	PUNCT
bibechana-24341	198	1	[	[	X
bibechana-24341	198	2	8	8	NUM
bibechana-24341	198	3	]	]	X
bibechana-24341	198	4	m.m	m.m	PROPN
bibechana-24341	198	5	.	.	PROPN
bibechana-24341	198	6	tripathi	tripathi	PROPN
bibechana-24341	198	7	,	,	PUNCT
bibechana-24341	198	8	ricci	ricci	PROPN
bibechana-24341	198	9	solitons	soliton	NOUN
bibechana-24341	198	10	in	in	ADP
bibechana-24341	198	11	contact	contact	NOUN
bibechana-24341	198	12	metric	metric	ADJ
bibechana-24341	198	13	manifold	manifold	NOUN
bibechana-24341	198	14	,	,	PUNCT
bibechana-24341	198	15	arxiv	arxiv	NOUN
bibechana-24341	198	16	:	:	PUNCT
bibechana-24341	198	17	0801	0801	NUM
bibechana-24341	198	18	.	.	PUNCT
bibechana-24341	199	1	4222vl	4222vl	ADJ
bibechana-24341	199	2	[	[	X
bibechana-24341	199	3	math	math	NOUN
bibechana-24341	199	4	.	.	PUNCT
bibechana-24341	200	1	d.	d.	PROPN
bibechana-24341	200	2	g.	g.	PROPN
bibechana-24341	200	3	]	]	PROPN
bibechana-24341	200	4	,	,	PUNCT
bibechana-24341	200	5	2008	2008	NUM
bibechana-24341	200	6	.	.	PUNCT
bibechana-24341	201	1	[	[	X
bibechana-24341	201	2	9	9	NUM
bibechana-24341	201	3	]	]	PUNCT
bibechana-24341	201	4	k.	k.	PROPN
bibechana-24341	201	5	matsumoto	matsumoto	PROPN
bibechana-24341	201	6	,	,	PUNCT
bibechana-24341	201	7	on	on	ADP
bibechana-24341	201	8	lorentzian	lorentzian	ADJ
bibechana-24341	201	9	paracontact	paracontact	PROPN
bibechana-24341	201	10	manifolds	manifold	NOUN
bibechana-24341	201	11	,	,	PUNCT
bibechana-24341	201	12	bull	bull	NOUN
bibechana-24341	201	13	.	.	PUNCT
bibechana-24341	201	14	of	of	ADP
bibechana-24341	201	15	yamagata	yamagata	PROPN
bibechana-24341	201	16	univ	univ	PROPN
bibechana-24341	201	17	.	.	PROPN
bibechana-24341	201	18	,	,	PUNCT
bibechana-24341	201	19	nat	nat	PROPN
bibechana-24341	201	20	.	.	PUNCT
bibechana-24341	202	1	sci	sci	PROPN
bibechana-24341	202	2	.	.	PROPN
bibechana-24341	203	1	12	12	NUM
bibechana-24341	203	2	(	(	PUNCT
bibechana-24341	203	3	1989	1989	NUM
bibechana-24341	203	4	)	)	PUNCT
bibechana-24341	203	5	151	151	NUM
bibechana-24341	203	6	-	-	SYM
bibechana-24341	203	7	156	156	NUM
bibechana-24341	203	8	.	.	PUNCT
bibechana-24341	204	1	[	[	X
bibechana-24341	204	2	10]i	10]i	NUM
bibechana-24341	204	3	.	.	PUNCT
bibechana-24341	205	1	mihai	mihai	PROPN
bibechana-24341	205	2	,	,	PUNCT
bibechana-24341	205	3	r.	r.	PROPN
bibechana-24341	205	4	rosca	rosca	PROPN
bibechana-24341	205	5	,	,	PUNCT
bibechana-24341	205	6	on	on	ADP
bibechana-24341	205	7	lorentzian	lorentzian	ADJ
bibechana-24341	205	8	p	p	PROPN
bibechana-24341	205	9	-	-	PUNCT
bibechana-24341	205	10	sasakian	sasakian	ADJ
bibechana-24341	205	11	manifolds	manifold	NOUN
bibechana-24341	205	12	,	,	PUNCT
bibechana-24341	205	13	classical	classical	ADJ
bibechana-24341	205	14	analysis	analysis	NOUN
bibechana-24341	205	15	,	,	PUNCT
bibechana-24341	205	16	world	world	NOUN
bibechana-24341	205	17	scientific	scientific	ADJ
bibechana-24341	205	18	publ	publ	NOUN
bibechana-24341	205	19	.	.	PUNCT
bibechana-24341	206	1	1992	1992	NUM
bibechana-24341	206	2	,	,	PUNCT
bibechana-24341	206	3	155	155	NUM
bibechana-24341	206	4	-	-	SYM
bibechana-24341	206	5	169	169	NUM
bibechana-24341	206	6	.	.	PUNCT
bibechana-24341	207	1	[	[	X
bibechana-24341	207	2	11]u.c	11]u.c	X
bibechana-24341	207	3	.	.	PUNCT
bibechana-24341	207	4	de	de	PROPN
bibechana-24341	207	5	,	,	PUNCT
bibechana-24341	207	6	k.	k.	PROPN
bibechana-24341	207	7	matsumoto	matsumoto	PROPN
bibechana-24341	207	8	,	,	PUNCT
bibechana-24341	207	9	a.a	a.a	PROPN
bibechana-24341	207	10	.	.	PROPN
bibechana-24341	207	11	shaikh	shaikh	PROPN
bibechana-24341	207	12	,	,	PUNCT
bibechana-24341	207	13	on	on	ADP
bibechana-24341	207	14	lorentzian	lorentzian	ADJ
bibechana-24341	207	15	para	para	PROPN
bibechana-24341	207	16	-	-	PUNCT
bibechana-24341	207	17	sasakian	sasakian	ADJ
bibechana-24341	207	18	manifolds	manifold	NOUN
bibechana-24341	207	19	,	,	PUNCT
bibechana-24341	207	20	rendicontidel	rendicontidel	PROPN
bibechana-24341	207	21	seminaro	seminaro	VERB
bibechana-24341	207	22	matemetico	matemetico	PROPN
bibechana-24341	207	23	di	di	PROPN
bibechana-24341	207	24	messina	messina	PROPN
bibechana-24341	207	25	,	,	PUNCT
bibechana-24341	207	26	serie	serie	PROPN
bibechana-24341	207	27	ii	ii	PROPN
bibechana-24341	207	28	,	,	PUNCT
bibechana-24341	207	29	supplemento	supplemento	ADP
bibechana-24341	207	30	al	al	PROPN
bibechana-24341	207	31	.	.	PROPN
bibechana-24341	207	32	3	3	NUM
bibechana-24341	207	33	(	(	PUNCT
bibechana-24341	207	34	1990	1990	NUM
bibechana-24341	207	35	)	)	PUNCT
bibechana-24341	207	36	149	149	NUM
bibechana-24341	207	37	-	-	SYM
bibechana-24341	207	38	158	158	NUM
bibechana-24341	207	39	.	.	PUNCT
bibechana-24341	208	1	[	[	X
bibechana-24341	208	2	12]k	12]k	X
bibechana-24341	208	3	.	.	PUNCT
bibechana-24341	208	4	matsumoto	matsumoto	PROPN
bibechana-24341	208	5	,	,	PUNCT
bibechana-24341	208	6	i.	i.	PROPN
bibechana-24341	208	7	mihai	mihai	PROPN
bibechana-24341	208	8	,	,	PUNCT
bibechana-24341	208	9	on	on	ADP
bibechana-24341	208	10	a	a	DET
bibechana-24341	208	11	certain	certain	ADJ
bibechana-24341	208	12	transformation	transformation	NOUN
bibechana-24341	208	13	in	in	ADP
bibechana-24341	208	14	lorentzian	lorentzian	ADJ
bibechana-24341	208	15	para	para	PROPN
bibechana-24341	208	16	-	-	PUNCT
bibechana-24341	208	17	sasakian	sasakian	NOUN
bibechana-24341	208	18	manifold	manifold	NOUN
bibechana-24341	208	19	,	,	PUNCT
bibechana-24341	208	20	tensor	tensor	NOUN
bibechana-24341	208	21	n.	n.	PROPN
bibechana-24341	208	22	s.	s.	PROPN
bibechana-24341	208	23	47	47	NUM
bibechana-24341	208	24	(	(	PUNCT
bibechana-24341	208	25	1988	1988	NUM
bibechana-24341	208	26	)	)	PUNCT
bibechana-24341	208	27	189	189	NUM
bibechana-24341	208	28	-	-	SYM
bibechana-24341	208	29	197	197	NUM
bibechana-24341	208	30	.	.	PUNCT
bibechana-24341	209	1	[	[	X
bibechana-24341	209	2	13	13	NUM
bibechana-24341	209	3	]	]	SYM
bibechana-24341	209	4	a.a	a.a	PROPN
bibechana-24341	209	5	.	.	PROPN
bibechana-24341	209	6	shaikh	shaikh	PROPN
bibechana-24341	209	7	,	,	PUNCT
bibechana-24341	209	8	s.	s.	PROPN
bibechana-24341	209	9	biswas	biswas	PROPN
bibechana-24341	209	10	,	,	PUNCT
bibechana-24341	209	11	on	on	ADP
bibechana-24341	209	12	lp	lp	ADJ
bibechana-24341	209	13	-	-	ADJ
bibechana-24341	209	14	sasakian	sasakian	ADJ
bibechana-24341	209	15	manifolds	manifold	NOUN
bibechana-24341	209	16	,	,	PUNCT
bibechana-24341	209	17	bull	bull	NOUN
bibechana-24341	209	18	.	.	PUNCT
bibechana-24341	210	1	malaysian	malaysian	ADJ
bibechana-24341	210	2	math	math	PROPN
bibechana-24341	210	3	.	.	PUNCT
bibechana-24341	211	1	sci	sci	PROPN
bibechana-24341	211	2	.	.	PROPN
bibechana-24341	211	3	soc	soc	PROPN
bibechana-24341	211	4	.	.	PUNCT
bibechana-24341	212	1	27	27	NUM
bibechana-24341	212	2	(	(	PUNCT
bibechana-24341	212	3	2004	2004	NUM
bibechana-24341	212	4	)	)	PUNCT
bibechana-24341	212	5	17	17	NUM
bibechana-24341	212	6	-	-	SYM
bibechana-24341	212	7	26	26	NUM
bibechana-24341	212	8	.	.	PUNCT
bibechana-24341	213	1	[	[	X
bibechana-24341	213	2	14	14	NUM
bibechana-24341	213	3	]	]	X
bibechana-24341	213	4	g.p	g.p	PROPN
bibechana-24341	213	5	.	.	PROPN
bibechana-24341	213	6	pokhariyal	pokhariyal	PROPN
bibechana-24341	213	7	,	,	PUNCT
bibechana-24341	213	8	r.s	r.s	PROPN
bibechana-24341	213	9	.	.	PROPN
bibechana-24341	213	10	mishra	mishra	PROPN
bibechana-24341	213	11	,	,	PUNCT
bibechana-24341	213	12	curvature	curvature	NOUN
bibechana-24341	213	13	tensors	tensor	NOUN
bibechana-24341	213	14	and	and	CCONJ
bibechana-24341	213	15	their	their	PRON
bibechana-24341	213	16	relativistics	relativistic	NOUN
bibechana-24341	213	17	significance	significance	NOUN
bibechana-24341	213	18	,	,	PUNCT
bibechana-24341	213	19	yokohama	yokohama	PROPN
bibechana-24341	213	20	math	math	PROPN
bibechana-24341	213	21	.	.	PUNCT
bibechana-24341	214	1	j.	j.	PROPN
bibechana-24341	214	2	18	18	NUM
bibechana-24341	214	3	(	(	PUNCT
bibechana-24341	214	4	2	2	NUM
bibechana-24341	214	5	)	)	PUNCT
bibechana-24341	214	6	(	(	PUNCT
bibechana-24341	214	7	1970	1970	NUM
bibechana-24341	214	8	)	)	PUNCT
bibechana-24341	214	9	,	,	PUNCT
bibechana-24341	214	10	105	105	NUM
bibechana-24341	214	11	-	-	SYM
bibechana-24341	214	12	108	108	NUM
bibechana-24341	214	13	.	.	PUNCT
bibechana-24341	215	1	[	[	X
bibechana-24341	215	2	15]g.p	15]g.p	NUM
bibechana-24341	215	3	.	.	PUNCT
bibechana-24341	215	4	pokhariyal	pokhariyal	ADJ
bibechana-24341	215	5	,	,	PUNCT
bibechana-24341	215	6	curvature	curvature	NOUN
bibechana-24341	215	7	tensors	tensor	NOUN
bibechana-24341	215	8	and	and	CCONJ
bibechana-24341	215	9	their	their	PRON
bibechana-24341	215	10	relativistics	relativistic	NOUN
bibechana-24341	215	11	significance	significance	NOUN
bibechana-24341	215	12	iii	iii	PROPN
bibechana-24341	215	13	,	,	PUNCT
bibechana-24341	215	14	yokohama	yokohama	PROPN
bibechana-24341	215	15	math	math	PROPN
bibechana-24341	215	16	.	.	PUNCT
bibechana-24341	216	1	j.	j.	PROPN
bibechana-24341	216	2	21	21	NUM
bibechana-24341	216	3	(	(	PUNCT
bibechana-24341	216	4	1973	1973	NUM
bibechana-24341	216	5	)	)	PUNCT
bibechana-24341	216	6	115	115	NUM
bibechana-24341	216	7	-	-	SYM
bibechana-24341	216	8	119	119	NUM
bibechana-24341	216	9	.	.	PUNCT