id	sid	tid	token	lemma	pos
bibechana-11783	1	1	microsoft	microsoft	PROPN
bibechana-11783	1	2	word	word	PROPN
bibechana-11783	1	3	shah	shah	PROPN
bibechana-11783	1	4	_	_	NOUN
bibechana-11783	1	5	80	80	NUM
bibechana-11783	1	6	-	-	SYM
bibechana-11783	1	7	88_.docx	88_.docx	NUM
bibechana-11783	1	8	r	r	NOUN
bibechana-11783	1	9	c	c	NOUN
bibechana-11783	2	1	o	o	NOUN
bibechana-11783	2	2	s	s	PROPN
bibechana-11783	2	3	t	t	PROPN
bibechana-11783	2	4	n	n	PRON
bibechana-11783	2	5	publisher	publisher	NOUN
bibechana-11783	2	6	:	:	PUNCT
bibechana-11783	2	7	research	research	PROPN
bibechana-11783	2	8	council	council	PROPN
bibechana-11783	2	9	of	of	ADP
bibechana-11783	2	10	science	science	NOUN
bibechana-11783	2	11	and	and	CCONJ
bibechana-11783	2	12	technology	technology	NOUN
bibechana-11783	2	13	,	,	PUNCT
bibechana-11783	2	14	biratnagar	biratnagar	NOUN
bibechana-11783	2	15	,	,	PUNCT
bibechana-11783	2	16	nepal	nepal	ADJ
bibechana-11783	2	17	:	:	PUNCT
bibechana-11783	2	18	p.	p.	NOUN
bibechana-11783	2	19	80	80	NUM
bibechana-11783	3	1	bibechana	bibechana	NOUN
bibechana-11783	3	2	a	a	DET
bibechana-11783	3	3	multidisciplinary	multidisciplinary	ADJ
bibechana-11783	3	4	journal	journal	NOUN
bibechana-11783	3	5	of	of	ADP
bibechana-11783	3	6	science	science	NOUN
bibechana-11783	3	7	,	,	PUNCT
bibechana-11783	3	8	technology	technology	NOUN
bibechana-11783	3	9	and	and	CCONJ
bibechana-11783	3	10	mathematics	mathematic	NOUN
bibechana-11783	3	11	issn	issn	VERB
bibechana-11783	3	12	2091	2091	NUM
bibechana-11783	3	13	-	-	SYM
bibechana-11783	3	14	0762	0762	NUM
bibechana-11783	3	15	(	(	PUNCT
bibechana-11783	3	16	print	print	NOUN
bibechana-11783	3	17	)	)	PUNCT
bibechana-11783	3	18	,	,	PUNCT
bibechana-11783	3	19	2382	2382	NUM
bibechana-11783	3	20	-	-	SYM
bibechana-11783	3	21	5340	5340	NUM
bibechana-11783	3	22	(	(	PUNCT
bibechana-11783	3	23	online	online	ADJ
bibechana-11783	3	24	)	)	PUNCT
bibechana-11783	3	25	journal	journal	NOUN
bibechana-11783	3	26	homepage	homepage	NOUN
bibechana-11783	3	27	:	:	PUNCT
bibechana-11783	3	28	http://nepjol.info/index.php/bibechana	http://nepjol.info/index.php/bibechana	PROPN
bibechana-11783	3	29	on	on	ADP
bibechana-11783	3	30	contact	contact	NOUN
bibechana-11783	3	31	conformal	conformal	NOUN
bibechana-11783	3	32	curvature	curvature	NOUN
bibechana-11783	3	33	tensor	tensor	NOUN
bibechana-11783	3	34	in	in	ADP
bibechana-11783	3	35	trans	trans	PROPN
bibechana-11783	3	36	-	-	ADJ
bibechana-11783	3	37	sasakian	sasakian	ADJ
bibechana-11783	3	38	manifolds	manifolds	PROPN
bibechana-11783	3	39	riddhi	riddhi	ADJ
bibechana-11783	3	40	jung	jung	PROPN
bibechana-11783	3	41	shah	shah	PROPN
bibechana-11783	3	42	department	department	PROPN
bibechana-11783	3	43	of	of	ADP
bibechana-11783	3	44	mathematics	mathematics	PROPN
bibechana-11783	3	45	,	,	PUNCT
bibechana-11783	3	46	janata	janata	PROPN
bibechana-11783	3	47	campus	campus	PROPN
bibechana-11783	3	48	nepal	nepal	PROPN
bibechana-11783	3	49	sanskrit	sanskrit	PROPN
bibechana-11783	3	50	university	university	PROPN
bibechana-11783	3	51	,	,	PUNCT
bibechana-11783	3	52	dang	dang	INTJ
bibechana-11783	3	53	e	e	NOUN
bibechana-11783	3	54	-	-	NOUN
bibechana-11783	3	55	mail	mail	NOUN
bibechana-11783	3	56	:	:	PUNCT
bibechana-11783	3	57	shahrjgeo@gmail.com	shahrjgeo@gmail.com	X
bibechana-11783	3	58	accepted	accept	VERB
bibechana-11783	3	59	for	for	ADP
bibechana-11783	3	60	publication	publication	NOUN
bibechana-11783	3	61	:	:	PUNCT
bibechana-11783	3	62	december	december	PROPN
bibechana-11783	3	63	18	18	NUM
bibechana-11783	3	64	,	,	PUNCT
bibechana-11783	3	65	2014	2014	NUM
bibechana-11783	3	66	abstract	abstract	NOUN
bibechana-11783	3	67	the	the	DET
bibechana-11783	3	68	purpose	purpose	NOUN
bibechana-11783	3	69	of	of	ADP
bibechana-11783	3	70	this	this	DET
bibechana-11783	3	71	paper	paper	NOUN
bibechana-11783	3	72	is	be	AUX
bibechana-11783	3	73	to	to	PART
bibechana-11783	3	74	study	study	VERB
bibechana-11783	3	75	some	some	DET
bibechana-11783	3	76	results	result	NOUN
bibechana-11783	3	77	on	on	ADP
bibechana-11783	3	78	contact	contact	NOUN
bibechana-11783	3	79	conformal	conformal	NOUN
bibechana-11783	3	80	curvature	curvature	NOUN
bibechana-11783	3	81	tensor	tensor	NOUN
bibechana-11783	3	82	in	in	ADP
bibechana-11783	3	83	trans	trans	PROPN
bibechana-11783	3	84	-	-	ADJ
bibechana-11783	3	85	sasakian	sasakian	ADJ
bibechana-11783	3	86	manifolds	manifold	NOUN
bibechana-11783	3	87	.	.	PUNCT
bibechana-11783	4	1	contact	contact	NOUN
bibechana-11783	4	2	conformally	conformally	ADV
bibechana-11783	4	3	flat	flat	ADJ
bibechana-11783	4	4	trans	trans	ADJ
bibechana-11783	4	5	-	-	ADJ
bibechana-11783	4	6	sasakian	sasakian	ADJ
bibechana-11783	4	7	manifold	manifold	NOUN
bibechana-11783	4	8	,	,	PUNCT
bibechana-11783	4	9	ξ	ξ	X
bibechana-11783	4	10	-contact	-contact	NOUN
bibechana-11783	4	11	conformally	conformally	ADV
bibechana-11783	4	12	flat	flat	ADJ
bibechana-11783	4	13	trans	trans	ADJ
bibechana-11783	4	14	-	-	ADJ
bibechana-11783	4	15	sasakian	sasakian	ADJ
bibechana-11783	4	16	manifold	manifold	ADJ
bibechana-11783	4	17	and	and	CCONJ
bibechana-11783	4	18	curvature	curvature	NOUN
bibechana-11783	4	19	conditions	condition	NOUN
bibechana-11783	4	20	(	(	PUNCT
bibechana-11783	4	21	)	)	PUNCT
bibechana-11783	4	22	0	0	NUM
bibechana-11783	4	23	,	,	PUNCT
bibechana-11783	4	24	.	.	PUNCT
bibechana-11783	5	1	0c	0c	PROPN
bibechana-11783	5	2	x	x	PUNCT
bibechana-11783	6	1	sξ	sξ	PROPN
bibechana-11783	6	2	=	=	PUNCT
bibechana-11783	6	3	and	and	CCONJ
bibechana-11783	6	4	(	(	PUNCT
bibechana-11783	6	5	)	)	PUNCT
bibechana-11783	6	6	0	0	NUM
bibechana-11783	6	7	0	0	NUM
bibechana-11783	6	8	,	,	PUNCT
bibechana-11783	6	9	.	.	PUNCT
bibechana-11783	7	1	0c	0c	NOUN
bibechana-11783	7	2	x	x	PUNCT
bibechana-11783	7	3	cξ	cξ	X
bibechana-11783	7	4	=	=	VERB
bibechana-11783	7	5	are	be	AUX
bibechana-11783	7	6	studied	study	VERB
bibechana-11783	7	7	with	with	ADP
bibechana-11783	7	8	some	some	DET
bibechana-11783	7	9	interesting	interesting	ADJ
bibechana-11783	7	10	results	result	NOUN
bibechana-11783	7	11	.	.	PUNCT
bibechana-11783	8	1	finally	finally	ADV
bibechana-11783	8	2	,	,	PUNCT
bibechana-11783	8	3	we	we	PRON
bibechana-11783	8	4	study	study	VERB
bibechana-11783	8	5	an	an	DET
bibechana-11783	8	6	example	example	NOUN
bibechana-11783	8	7	of	of	ADP
bibechana-11783	8	8	3dimensional	3dimensional	PROPN
bibechana-11783	8	9	trans	trans	ADJ
bibechana-11783	8	10	-	-	ADJ
bibechana-11783	8	11	sasakian	sasakian	ADJ
bibechana-11783	8	12	manifold	manifold	NOUN
bibechana-11783	8	13	.	.	PUNCT
bibechana-11783	9	1	doi	doi	NOUN
bibechana-11783	9	2	:	:	PUNCT
bibechana-11783	9	3	http://dx.doi.org/10.3126/bibechana.v12i0.11783	http://dx.doi.org/10.3126/bibechana.v12i0.11783	PRON
bibechana-11783	9	4	©	©	PROPN
bibechana-11783	9	5	2014	2014	NUM
bibechana-11783	9	6	rcost	rcost	NOUN
bibechana-11783	9	7	:	:	PUNCT
bibechana-11783	9	8	all	all	DET
bibechana-11783	9	9	rights	right	NOUN
bibechana-11783	9	10	reserved	reserve	VERB
bibechana-11783	9	11	.	.	PUNCT
bibechana-11783	10	1	keywords	keyword	NOUN
bibechana-11783	10	2	:	:	PUNCT
bibechana-11783	10	3	contact	contact	NOUN
bibechana-11783	10	4	conformal	conformal	NOUN
bibechana-11783	10	5	curvature	curvature	NOUN
bibechana-11783	10	6	tensor	tensor	NOUN
bibechana-11783	10	7	;	;	PUNCT
bibechana-11783	10	8	trans	trans	PROPN
bibechana-11783	10	9	-	-	ADJ
bibechana-11783	10	10	sasakian	sasakian	ADJ
bibechana-11783	10	11	manifold	manifold	NOUN
bibechana-11783	10	12	;	;	PUNCT
bibechana-11783	10	13	hermitian	hermitian	ADJ
bibechana-11783	10	14	manifolds	manifold	NOUN
bibechana-11783	10	15	.	.	PUNCT
bibechana-11783	11	1	1	1	NUM
bibechana-11783	11	2	.	.	X
bibechana-11783	11	3	introduction	introduction	NOUN
bibechana-11783	11	4	in	in	ADP
bibechana-11783	11	5	1978	1978	NUM
bibechana-11783	11	6	,	,	PUNCT
bibechana-11783	11	7	gray	gray	ADJ
bibechana-11783	11	8	and	and	CCONJ
bibechana-11783	11	9	hervella	hervella	NOUN
bibechana-11783	12	1	[	[	X
bibechana-11783	12	2	1	1	NUM
bibechana-11783	12	3	]	]	PUNCT
bibechana-11783	12	4	studied	study	VERB
bibechana-11783	12	5	on	on	ADP
bibechana-11783	12	6	the	the	DET
bibechana-11783	12	7	sixteen	sixteen	NUM
bibechana-11783	12	8	classes	class	NOUN
bibechana-11783	12	9	of	of	ADP
bibechana-11783	12	10	almost	almost	ADV
bibechana-11783	12	11	hermitian	hermitian	ADJ
bibechana-11783	12	12	manifolds	manifold	NOUN
bibechana-11783	12	13	and	and	CCONJ
bibechana-11783	12	14	their	their	PRON
bibechana-11783	12	15	linear	linear	ADJ
bibechana-11783	12	16	invariants	invariant	NOUN
bibechana-11783	12	17	.	.	PUNCT
bibechana-11783	13	1	they	they	PRON
bibechana-11783	13	2	considered	consider	VERB
bibechana-11783	13	3	unitary	unitary	ADJ
bibechana-11783	13	4	group	group	NOUN
bibechana-11783	13	5	(	(	PUNCT
bibechana-11783	13	6	)	)	PUNCT
bibechana-11783	13	7	u	u	NOUN
bibechana-11783	13	8	n	n	X
bibechana-11783	13	9	on	on	ADP
bibechana-11783	13	10	a	a	DET
bibechana-11783	13	11	certain	certain	ADJ
bibechana-11783	13	12	space	space	NOUN
bibechana-11783	13	13	w	w	NOUN
bibechana-11783	13	14	and	and	CCONJ
bibechana-11783	13	15	studied	study	VERB
bibechana-11783	13	16	that	that	SCONJ
bibechana-11783	13	17	the	the	DET
bibechana-11783	13	18	representation	representation	NOUN
bibechana-11783	13	19	of	of	ADP
bibechana-11783	13	20	(	(	PUNCT
bibechana-11783	13	21	)	)	PUNCT
bibechana-11783	13	22	u	u	NOUN
bibechana-11783	13	23	n	n	X
bibechana-11783	13	24	on	on	ADP
bibechana-11783	13	25	w	w	PROPN
bibechana-11783	13	26	has	have	VERB
bibechana-11783	13	27	four	four	NUM
bibechana-11783	13	28	irreducible	irreducible	ADJ
bibechana-11783	13	29	components	component	NOUN
bibechana-11783	13	30	,	,	PUNCT
bibechana-11783	13	31	1	1	NUM
bibechana-11783	13	32	2	2	NUM
bibechana-11783	13	33	3	3	NUM
bibechana-11783	13	34	4.w	4.w	NUM
bibechana-11783	13	35	w	w	PROPN
bibechana-11783	13	36	w	w	PROPN
bibechana-11783	13	37	w	w	PROPN
bibechana-11783	13	38	w=	w=	PROPN
bibechana-11783	13	39	⊕	⊕	PROPN
bibechana-11783	13	40	⊕	⊕	PROPN
bibechana-11783	13	41	⊕	⊕	PROPN
bibechana-11783	13	42	from	from	ADP
bibechana-11783	13	43	these	these	DET
bibechana-11783	13	44	four	four	NUM
bibechana-11783	13	45	components	component	NOUN
bibechana-11783	13	46	sixteen	sixteen	NUM
bibechana-11783	13	47	different	different	ADJ
bibechana-11783	13	48	invariants	invariant	NOUN
bibechana-11783	13	49	subspaces	subspace	NOUN
bibechana-11783	13	50	were	be	AUX
bibechana-11783	13	51	obtained	obtain	VERB
bibechana-11783	13	52	.	.	PUNCT
bibechana-11783	14	1	among	among	ADP
bibechana-11783	14	2	four	four	NUM
bibechana-11783	14	3	components	component	NOUN
bibechana-11783	14	4	3	3	NUM
bibechana-11783	14	5	4w	4w	X
bibechana-11783	14	6	w⊕	w⊕	X
bibechana-11783	14	7	corresponds	correspond	NOUN
bibechana-11783	14	8	to	to	ADP
bibechana-11783	14	9	the	the	DET
bibechana-11783	14	10	class	class	NOUN
bibechana-11783	14	11	of	of	ADP
bibechana-11783	14	12	hermitian	hermitian	ADJ
bibechana-11783	14	13	manifolds	manifold	NOUN
bibechana-11783	14	14	.	.	PUNCT
bibechana-11783	15	1	oubina	oubina	PROPN
bibechana-11783	16	1	[	[	X
bibechana-11783	16	2	2	2	X
bibechana-11783	16	3	]	]	PUNCT
bibechana-11783	16	4	studied	study	VERB
bibechana-11783	16	5	a	a	DET
bibechana-11783	16	6	new	new	ADJ
bibechana-11783	16	7	class	class	NOUN
bibechana-11783	16	8	of	of	ADP
bibechana-11783	16	9	almost	almost	ADV
bibechana-11783	16	10	contact	contact	NOUN
bibechana-11783	16	11	metric	metric	ADJ
bibechana-11783	16	12	structure	structure	NOUN
bibechana-11783	16	13	,	,	PUNCT
bibechana-11783	16	14	called	call	VERB
bibechana-11783	16	15	trans	tran	NOUN
bibechana-11783	16	16	-	-	NOUN
bibechana-11783	16	17	sasakian	sasakian	ADJ
bibechana-11783	16	18	which	which	PRON
bibechana-11783	16	19	is	be	AUX
bibechana-11783	16	20	an	an	DET
bibechana-11783	16	21	analogue	analogue	NOUN
bibechana-11783	16	22	of	of	ADP
bibechana-11783	16	23	a	a	DET
bibechana-11783	16	24	locally	locally	ADV
bibechana-11783	16	25	conformal	conformal	ADJ
bibechana-11783	16	26	kaehler	kaehler	NOUN
bibechana-11783	16	27	structure	structure	NOUN
bibechana-11783	16	28	on	on	ADP
bibechana-11783	16	29	an	an	DET
bibechana-11783	16	30	almost	almost	ADV
bibechana-11783	16	31	hermitian	hermitian	ADJ
bibechana-11783	16	32	manifold	manifold	NOUN
bibechana-11783	16	33	.	.	PUNCT
bibechana-11783	17	1	an	an	DET
bibechana-11783	17	2	almost	almost	ADV
bibechana-11783	17	3	contact	contact	NOUN
bibechana-11783	17	4	metric	metric	ADJ
bibechana-11783	17	5	structure	structure	NOUN
bibechana-11783	17	6	(	(	PUNCT
bibechana-11783	17	7	)	)	PUNCT
bibechana-11783	17	8	,	,	PUNCT
bibechana-11783	17	9	,	,	PUNCT
bibechana-11783	17	10	,	,	PUNCT
bibechana-11783	17	11	gϕ	gϕ	PROPN
bibechana-11783	17	12	ξ	ξ	PROPN
bibechana-11783	17	13	η	η	PROPN
bibechana-11783	17	14	(	(	PUNCT
bibechana-11783	17	15	where	where	SCONJ
bibechana-11783	17	16	ϕ	ϕ	NOUN
bibechana-11783	17	17	is	be	AUX
bibechana-11783	17	18	a	a	DET
bibechana-11783	17	19	(	(	PUNCT
bibechana-11783	17	20	1	1	NUM
bibechana-11783	17	21	,	,	PUNCT
bibechana-11783	17	22	1	1	NUM
bibechana-11783	17	23	)	)	PUNCT
bibechana-11783	17	24	tensor	tensor	NOUN
bibechana-11783	17	25	field	field	NOUN
bibechana-11783	17	26	,	,	PUNCT
bibechana-11783	17	27	ξ	ξ	PROPN
bibechana-11783	17	28	is	be	AUX
bibechana-11783	17	29	a	a	DET
bibechana-11783	17	30	vector	vector	NOUN
bibechana-11783	17	31	field	field	NOUN
bibechana-11783	17	32	,	,	PUNCT
bibechana-11783	17	33	η	η	PROPN
bibechana-11783	17	34	is	be	AUX
bibechana-11783	17	35	a	a	DET
bibechana-11783	17	36	1	1	NUM
bibechana-11783	17	37	-	-	PUNCT
bibechana-11783	17	38	form	form	NOUN
bibechana-11783	17	39	and	and	CCONJ
bibechana-11783	17	40	g	g	NOUN
bibechana-11783	17	41	is	be	AUX
bibechana-11783	17	42	a	a	DET
bibechana-11783	17	43	compatible	compatible	ADJ
bibechana-11783	17	44	rimannian	rimannian	NOUN
bibechana-11783	17	45	metric	metric	NOUN
bibechana-11783	17	46	)	)	PUNCT
bibechana-11783	17	47	on	on	ADP
bibechana-11783	17	48	m	m	PROPN
bibechana-11783	17	49	is	be	AUX
bibechana-11783	17	50	trans	tran	NOUN
bibechana-11783	17	51	-	-	ADJ
bibechana-11783	17	52	sasakian	sasakian	ADJ
bibechana-11783	18	1	[	[	X
bibechana-11783	18	2	2	2	NUM
bibechana-11783	18	3	]	]	PUNCT
bibechana-11783	18	4	if	if	SCONJ
bibechana-11783	18	5	(	(	PUNCT
bibechana-11783	18	6	)	)	PUNCT
bibechana-11783	18	7	,	,	PUNCT
bibechana-11783	18	8	,	,	PUNCT
bibechana-11783	18	9	m	m	VERB
bibechana-11783	18	10	j	j	PROPN
bibechana-11783	18	11	g×ℝ	g×ℝ	NOUN
bibechana-11783	18	12	belongs	belong	VERB
bibechana-11783	18	13	to	to	ADP
bibechana-11783	18	14	the	the	DET
bibechana-11783	18	15	class	class	NOUN
bibechana-11783	18	16	4	4	NUM
bibechana-11783	18	17	,	,	PUNCT
bibechana-11783	18	18	w	w	ADP
bibechana-11783	18	19	where	where	SCONJ
bibechana-11783	18	20	j	j	PROPN
bibechana-11783	18	21	is	be	AUX
bibechana-11783	18	22	the	the	DET
bibechana-11783	18	23	almost	almost	ADV
bibechana-11783	18	24	complex	complex	ADJ
bibechana-11783	18	25	structure	structure	NOUN
bibechana-11783	18	26	on	on	ADP
bibechana-11783	18	27	m	m	PRON
bibechana-11783	18	28	×ℝ	×ℝ	NOUN
bibechana-11783	18	29	defined	define	VERB
bibechana-11783	18	30	by	by	ADP
bibechana-11783	18	31	(	(	PUNCT
bibechana-11783	18	32	1.1	1.1	NUM
bibechana-11783	18	33	)	)	PUNCT
bibechana-11783	18	34	(	(	PUNCT
bibechana-11783	18	35	)	)	PUNCT
bibechana-11783	18	36	,	,	PUNCT
bibechana-11783	18	37	,	,	PUNCT
bibechana-11783	18	38	,	,	PUNCT
bibechana-11783	18	39	d	d	PROPN
bibechana-11783	18	40	d	d	X
bibechana-11783	18	41	j	j	PROPN
bibechana-11783	18	42	x	x	X
bibechana-11783	18	43	f	f	PROPN
bibechana-11783	18	44	x	x	X
bibechana-11783	18	45	f	f	NOUN
bibechana-11783	18	46	x	x	X
bibechana-11783	18	47	dt	dt	X
bibechana-11783	18	48	dt	dt	X
bibechana-11783	18	49	ϕ	ϕ	X
bibechana-11783	18	50	ξ	ξ	X
bibechana-11783	18	51	η	η	PROPN
bibechana-11783	18	52			PROPN
bibechana-11783	18	53			NOUN
bibechana-11783	18	54	=	=	PROPN
bibechana-11783	18	55	−	−	PROPN
bibechana-11783	18	56			NOUN
bibechana-11783	18	57			NOUN
bibechana-11783	18	58			VERB
bibechana-11783	18	59			NOUN
bibechana-11783	18	60			PUNCT
bibechana-11783	19	1			NOUN
bibechana-11783	19	2			PUNCT
bibechana-11783	19	3	shah	shah	PROPN
bibechana-11783	19	4	/	/	SYM
bibechana-11783	19	5	bibechana	bibechana	PROPN
bibechana-11783	19	6	12	12	NUM
bibechana-11783	19	7	(	(	PUNCT
bibechana-11783	19	8	2015	2015	NUM
bibechana-11783	19	9	)	)	PUNCT
bibechana-11783	19	10	80	80	NUM
bibechana-11783	19	11	-	-	SYM
bibechana-11783	19	12	88	88	NUM
bibechana-11783	19	13	:	:	PUNCT
bibechana-11783	19	14	p.	p.	NOUN
bibechana-11783	19	15	81	81	NUM
bibechana-11783	19	16	for	for	ADP
bibechana-11783	19	17	any	any	DET
bibechana-11783	19	18	vector	vector	NOUN
bibechana-11783	19	19	field	field	NOUN
bibechana-11783	19	20	x	x	PUNCT
bibechana-11783	19	21	on	on	ADP
bibechana-11783	19	22	,	,	PUNCT
bibechana-11783	19	23	m	m	VERB
bibechana-11783	19	24	where	where	SCONJ
bibechana-11783	19	25	g	g	PROPN
bibechana-11783	19	26	is	be	AUX
bibechana-11783	19	27	the	the	DET
bibechana-11783	19	28	product	product	NOUN
bibechana-11783	19	29	metric	metric	ADJ
bibechana-11783	19	30	on	on	ADP
bibechana-11783	19	31	.m	.m	ADJ
bibechana-11783	19	32	×ℝ	×ℝ	NOUN
bibechana-11783	19	33	trans	trans	ADJ
bibechana-11783	19	34	-	-	ADJ
bibechana-11783	19	35	sasakian	sasakian	ADJ
bibechana-11783	19	36	manifold	manifold	NOUN
bibechana-11783	19	37	is	be	AUX
bibechana-11783	19	38	the	the	DET
bibechana-11783	19	39	trans	trans	ADJ
bibechana-11783	19	40	-	-	ADJ
bibechana-11783	19	41	sasakian	sasakian	ADJ
bibechana-11783	19	42	structure	structure	NOUN
bibechana-11783	19	43	of	of	ADP
bibechana-11783	19	44	type	type	NOUN
bibechana-11783	19	45	(	(	PUNCT
bibechana-11783	19	46	)	)	PUNCT
bibechana-11783	19	47	,	,	PUNCT
bibechana-11783	19	48	,	,	PUNCT
bibechana-11783	19	49	α	α	X
bibechana-11783	19	50	β	β	VERB
bibechana-11783	19	51	where	where	SCONJ
bibechana-11783	19	52	α	α	NOUN
bibechana-11783	19	53	and	and	CCONJ
bibechana-11783	19	54	β	β	X
bibechana-11783	19	55	are	be	AUX
bibechana-11783	19	56	smooth	smooth	ADJ
bibechana-11783	19	57	functions	function	NOUN
bibechana-11783	19	58	on	on	ADP
bibechana-11783	19	59	.m	.m	ADJ
bibechana-11783	19	60	transsasakian	transsasakian	NOUN
bibechana-11783	19	61	manifolds	manifold	NOUN
bibechana-11783	19	62	of	of	ADP
bibechana-11783	19	63	type	type	NOUN
bibechana-11783	19	64	(	(	PUNCT
bibechana-11783	19	65	)	)	PUNCT
bibechana-11783	19	66	(	(	PUNCT
bibechana-11783	19	67	)	)	PUNCT
bibechana-11783	19	68	0,0	0,0	NOUN
bibechana-11783	19	69	,	,	PUNCT
bibechana-11783	19	70	,	,	PUNCT
bibechana-11783	19	71	0α	0α	PROPN
bibechana-11783	19	72	and	and	CCONJ
bibechana-11783	19	73	(	(	PUNCT
bibechana-11783	19	74	)	)	PUNCT
bibechana-11783	19	75	0,β	0,β	NOUN
bibechana-11783	19	76	are	be	AUX
bibechana-11783	19	77	cosympletic	cosympletic	ADJ
bibechana-11783	19	78	[	[	X
bibechana-11783	19	79	3],α	3],α	NUM
bibechana-11783	19	80	-sasakian	-sasakian	NOUN
bibechana-11783	20	1	[	[	X
bibechana-11783	20	2	4	4	NUM
bibechana-11783	20	3	]	]	PUNCT
bibechana-11783	20	4	and	and	CCONJ
bibechana-11783	20	5	β	β	X
bibechana-11783	20	6	kenmotsu	kenmotsu	NOUN
bibechana-11783	20	7	manifold	manifold	ADJ
bibechana-11783	21	1	[	[	X
bibechana-11783	21	2	4,5	4,5	NUM
bibechana-11783	21	3	]	]	PUNCT
bibechana-11783	21	4	respectively	respectively	ADV
bibechana-11783	21	5	.	.	PUNCT
bibechana-11783	22	1	trans	tran	NOUN
bibechana-11783	22	2	-	-	ADJ
bibechana-11783	22	3	sasakian	sasakian	ADJ
bibechana-11783	22	4	manifolds	manifold	NOUN
bibechana-11783	22	5	have	have	AUX
bibechana-11783	22	6	been	be	AUX
bibechana-11783	22	7	studied	study	VERB
bibechana-11783	22	8	in	in	ADP
bibechana-11783	22	9	[	[	NOUN
bibechana-11783	22	10	6,7	6,7	NUM
bibechana-11783	22	11	]	]	PUNCT
bibechana-11783	22	12	and	and	CCONJ
bibechana-11783	22	13	by	by	ADP
bibechana-11783	22	14	many	many	ADJ
bibechana-11783	22	15	others	other	NOUN
bibechana-11783	22	16	.	.	PUNCT
bibechana-11783	23	1	on	on	ADP
bibechana-11783	23	2	the	the	DET
bibechana-11783	23	3	other	other	ADJ
bibechana-11783	23	4	hand	hand	NOUN
bibechana-11783	23	5	,	,	PUNCT
bibechana-11783	23	6	contact	contact	NOUN
bibechana-11783	23	7	conformal	conformal	NOUN
bibechana-11783	23	8	curvature	curvature	NOUN
bibechana-11783	23	9	tensor	tensor	NOUN
bibechana-11783	23	10	field	field	NOUN
bibechana-11783	23	11	was	be	AUX
bibechana-11783	23	12	introduced	introduce	VERB
bibechana-11783	23	13	and	and	CCONJ
bibechana-11783	23	14	defined	define	VERB
bibechana-11783	23	15	by	by	ADP
bibechana-11783	23	16	jeong	jeong	PROPN
bibechana-11783	23	17	et	et	PROPN
bibechana-11783	23	18	al	al	PROPN
bibechana-11783	23	19	.	.	PUNCT
bibechana-11783	24	1	[	[	X
bibechana-11783	24	2	8	8	NUM
bibechana-11783	24	3	]	]	PUNCT
bibechana-11783	24	4	in	in	ADP
bibechana-11783	24	5	a	a	DET
bibechana-11783	24	6	(	(	PUNCT
bibechana-11783	24	7	)	)	SYM
bibechana-11783	24	8	2	2	NUM
bibechana-11783	24	9	1n+	1n+	NUM
bibechana-11783	24	10	-dimensional	-dimensional	ADJ
bibechana-11783	24	11	sasakian	sasakian	PROPN
bibechana-11783	24	12	manifold	manifold	NOUN
bibechana-11783	24	13	which	which	PRON
bibechana-11783	24	14	was	be	AUX
bibechana-11783	24	15	constructed	construct	VERB
bibechana-11783	24	16	from	from	ADP
bibechana-11783	24	17	the	the	DET
bibechana-11783	24	18	conformal	conformal	NOUN
bibechana-11783	24	19	curvature	curvature	NOUN
bibechana-11783	24	20	tensor	tensor	NOUN
bibechana-11783	24	21	field	field	NOUN
bibechana-11783	24	22	defined	define	VERB
bibechana-11783	24	23	by	by	ADP
bibechana-11783	24	24	kitahara	kitahara	PROPN
bibechana-11783	24	25	et	et	PROPN
bibechana-11783	24	26	al	al	PROPN
bibechana-11783	24	27	.	.	PUNCT
bibechana-11783	25	1	[	[	X
bibechana-11783	25	2	9	9	NUM
bibechana-11783	25	3	]	]	PUNCT
bibechana-11783	25	4	in	in	ADP
bibechana-11783	25	5	a	a	DET
bibechana-11783	25	6	kaehler	kaehler	NOUN
bibechana-11783	25	7	manifold	manifold	ADJ
bibechana-11783	25	8	by	by	ADP
bibechana-11783	25	9	using	use	VERB
bibechana-11783	25	10	the	the	DET
bibechana-11783	25	11	boothbywang	boothbywang	NOUN
bibechana-11783	25	12	’s	’s	PART
bibechana-11783	25	13	fibration	fibration	NOUN
bibechana-11783	25	14	.	.	PUNCT
bibechana-11783	26	1	contact	contact	NOUN
bibechana-11783	26	2	conformal	conformal	NOUN
bibechana-11783	26	3	curvature	curvature	NOUN
bibechana-11783	26	4	tensor	tensor	NOUN
bibechana-11783	26	5	has	have	AUX
bibechana-11783	26	6	also	also	ADV
bibechana-11783	26	7	been	be	AUX
bibechana-11783	26	8	studied	study	VERB
bibechana-11783	26	9	in	in	ADP
bibechana-11783	26	10	[	[	X
bibechana-11783	26	11	10	10	NUM
bibechana-11783	26	12	]	]	PUNCT
bibechana-11783	26	13	and	and	CCONJ
bibechana-11783	26	14	[	[	X
bibechana-11783	26	15	11	11	NUM
bibechana-11783	26	16	]	]	SYM
bibechana-11783	26	17	.	.	PUNCT
bibechana-11783	27	1	2	2	X
bibechana-11783	27	2	.	.	X
bibechana-11783	27	3	preliminaries	preliminary	NOUN
bibechana-11783	27	4	let	let	VERB
bibechana-11783	27	5	m	m	PRON
bibechana-11783	27	6	be	be	AUX
bibechana-11783	27	7	a	a	DET
bibechana-11783	27	8	(	(	PUNCT
bibechana-11783	27	9	)	)	SYM
bibechana-11783	27	10	2	2	NUM
bibechana-11783	27	11	1n+	1n+	NUM
bibechana-11783	27	12	-dimensional	-dimensional	ADJ
bibechana-11783	27	13	almost	almost	ADV
bibechana-11783	27	14	contact	contact	NOUN
bibechana-11783	27	15	metric	metric	ADJ
bibechana-11783	27	16	manifold	manifold	NOUN
bibechana-11783	27	17	equipped	equip	VERB
bibechana-11783	27	18	with	with	ADP
bibechana-11783	27	19	an	an	DET
bibechana-11783	27	20	almost	almost	ADV
bibechana-11783	27	21	contact	contact	NOUN
bibechana-11783	27	22	metric	metric	ADJ
bibechana-11783	27	23	structure	structure	NOUN
bibechana-11783	27	24	(	(	PUNCT
bibechana-11783	27	25	)	)	PUNCT
bibechana-11783	27	26	,	,	PUNCT
bibechana-11783	27	27	,	,	PUNCT
bibechana-11783	27	28	,	,	PUNCT
bibechana-11783	27	29	,	,	PUNCT
bibechana-11783	27	30	gϕ	gϕ	PROPN
bibechana-11783	27	31	ξ	ξ	PROPN
bibechana-11783	27	32	η	η	PROPN
bibechana-11783	27	33	where	where	SCONJ
bibechana-11783	27	34	ϕ	ϕ	NOUN
bibechana-11783	27	35	is	be	AUX
bibechana-11783	27	36	a	a	DET
bibechana-11783	27	37	(	(	PUNCT
bibechana-11783	27	38	1	1	NUM
bibechana-11783	27	39	,	,	PUNCT
bibechana-11783	27	40	1	1	NUM
bibechana-11783	27	41	)	)	PUNCT
bibechana-11783	27	42	tensor	tensor	NOUN
bibechana-11783	27	43	field	field	NOUN
bibechana-11783	27	44	,	,	PUNCT
bibechana-11783	27	45	ξ	ξ	PROPN
bibechana-11783	27	46	is	be	AUX
bibechana-11783	27	47	a	a	DET
bibechana-11783	27	48	vector	vector	NOUN
bibechana-11783	27	49	field	field	NOUN
bibechana-11783	27	50	,	,	PUNCT
bibechana-11783	27	51	η	η	PROPN
bibechana-11783	27	52	-is	-is	ADP
bibechana-11783	27	53	a	a	DET
bibechana-11783	27	54	1	1	NUM
bibechana-11783	27	55	-	-	PUNCT
bibechana-11783	27	56	form	form	NOUN
bibechana-11783	27	57	and	and	CCONJ
bibechana-11783	27	58	g	g	NOUN
bibechana-11783	27	59	is	be	AUX
bibechana-11783	27	60	a	a	DET
bibechana-11783	27	61	compatible	compatible	ADJ
bibechana-11783	27	62	riemannian	riemannian	NOUN
bibechana-11783	27	63	metric	metric	NOUN
bibechana-11783	27	64	such	such	ADJ
bibechana-11783	27	65	that	that	SCONJ
bibechana-11783	28	1	[	[	X
bibechana-11783	28	2	3	3	NUM
bibechana-11783	28	3	]	]	PUNCT
bibechana-11783	28	4	(	(	PUNCT
bibechana-11783	28	5	2.1	2.1	NUM
bibechana-11783	28	6	)	)	PUNCT
bibechana-11783	28	7	(	(	PUNCT
bibechana-11783	28	8	)	)	PUNCT
bibechana-11783	28	9	(	(	PUNCT
bibechana-11783	28	10	)	)	PUNCT
bibechana-11783	28	11	(	(	PUNCT
bibechana-11783	28	12	)	)	PUNCT
bibechana-11783	28	13	(	(	PUNCT
bibechana-11783	28	14	)	)	PUNCT
bibechana-11783	28	15	2	2	NUM
bibechana-11783	28	16	,	,	PUNCT
bibechana-11783	28	17	1	1	NUM
bibechana-11783	28	18	,	,	PUNCT
bibechana-11783	28	19	=	=	NOUN
bibechana-11783	28	20	0	0	NUM
bibechana-11783	28	21	,	,	PUNCT
bibechana-11783	28	22	0,x	0,x	NOUN
bibechana-11783	28	23	x	x	PROPN
bibechana-11783	28	24	x	x	SYM
bibechana-11783	28	25	xϕ	xϕ	PROPN
bibechana-11783	28	26	η	η	PROPN
bibechana-11783	28	27	ξ	ξ	PROPN
bibechana-11783	28	28	η	η	PROPN
bibechana-11783	28	29	ξ	ξ	X
bibechana-11783	28	30	ϕξ	ϕξ	PROPN
bibechana-11783	28	31	η	η	PROPN
bibechana-11783	28	32	ϕ=	ϕ=	NOUN
bibechana-11783	28	33	−	−	PROPN
bibechana-11783	29	1	+	+	CCONJ
bibechana-11783	29	2	=	=	SYM
bibechana-11783	29	3	=	=	SYM
bibechana-11783	29	4	(	(	PUNCT
bibechana-11783	29	5	2.2	2.2	NUM
bibechana-11783	29	6	)	)	PUNCT
bibechana-11783	29	7	(	(	PUNCT
bibechana-11783	29	8	)	)	PUNCT
bibechana-11783	29	9	(	(	PUNCT
bibechana-11783	29	10	)	)	PUNCT
bibechana-11783	29	11	(	(	PUNCT
bibechana-11783	29	12	)	)	PUNCT
bibechana-11783	29	13	(	(	PUNCT
bibechana-11783	29	14	)	)	PUNCT
bibechana-11783	29	15	,	,	PUNCT
bibechana-11783	29	16	,	,	PUNCT
bibechana-11783	29	17	,	,	PUNCT
bibechana-11783	29	18	g	g	NOUN
bibechana-11783	29	19	x	x	X
bibechana-11783	29	20	y	y	PROPN
bibechana-11783	29	21	g	g	NOUN
bibechana-11783	29	22	x	x	PUNCT
bibechana-11783	29	23	y	y	NOUN
bibechana-11783	29	24	x	x	NOUN
bibechana-11783	29	25	yϕ	yϕ	PROPN
bibechana-11783	29	26	ϕ	ϕ	PROPN
bibechana-11783	29	27	η	η	X
bibechana-11783	29	28	η=	η=	NOUN
bibechana-11783	29	29	−	−	PROPN
bibechana-11783	29	30	(	(	PUNCT
bibechana-11783	29	31	2.3	2.3	NUM
bibechana-11783	29	32	)	)	PUNCT
bibechana-11783	29	33	(	(	PUNCT
bibechana-11783	29	34	)	)	PUNCT
bibechana-11783	29	35	(	(	PUNCT
bibechana-11783	29	36	)	)	PUNCT
bibechana-11783	29	37	(	(	PUNCT
bibechana-11783	29	38	)	)	PUNCT
bibechana-11783	29	39	(	(	PUNCT
bibechana-11783	29	40	)	)	PUNCT
bibechana-11783	29	41	,	,	PUNCT
bibechana-11783	29	42	,	,	PUNCT
bibechana-11783	29	43	,	,	PUNCT
bibechana-11783	29	44	,	,	PUNCT
bibechana-11783	29	45	,	,	PUNCT
bibechana-11783	29	46	g	g	NOUN
bibechana-11783	29	47	x	x	X
bibechana-11783	29	48	y	y	PROPN
bibechana-11783	29	49	g	g	NOUN
bibechana-11783	29	50	x	x	PROPN
bibechana-11783	29	51	y	y	PROPN
bibechana-11783	29	52	g	g	PROPN
bibechana-11783	29	53	x	x	PROPN
bibechana-11783	29	54	xϕ	xϕ	PROPN
bibechana-11783	29	55	ϕ	ϕ	X
bibechana-11783	29	56	ξ	ξ	PRON
bibechana-11783	29	57	η=	η=	NOUN
bibechana-11783	29	58	−	−	NOUN
bibechana-11783	29	59	=	=	PUNCT
bibechana-11783	29	60	for	for	ADP
bibechana-11783	29	61	all	all	PRON
bibechana-11783	29	62	,	,	PUNCT
bibechana-11783	29	63	.x	.x	PROPN
bibechana-11783	30	1	y	y	PROPN
bibechana-11783	30	2	tm∈	tm∈	PROPN
bibechana-11783	30	3	the	the	DET
bibechana-11783	30	4	fundamental	fundamental	ADJ
bibechana-11783	30	5	2	2	NUM
bibechana-11783	30	6	-	-	PUNCT
bibechana-11783	30	7	form	form	NOUN
bibechana-11783	30	8	φ	φ	NOUN
bibechana-11783	30	9	of	of	ADP
bibechana-11783	30	10	the	the	DET
bibechana-11783	30	11	almost	almost	ADV
bibechana-11783	30	12	contact	contact	NOUN
bibechana-11783	30	13	metric	metric	ADJ
bibechana-11783	30	14	structure	structure	NOUN
bibechana-11783	30	15	(	(	PUNCT
bibechana-11783	30	16	)	)	PUNCT
bibechana-11783	30	17	,	,	PUNCT
bibechana-11783	30	18	,	,	PUNCT
bibechana-11783	30	19	,	,	PUNCT
bibechana-11783	30	20	gϕ	gϕ	PROPN
bibechana-11783	30	21	ξ	ξ	PROPN
bibechana-11783	30	22	η	η	PROPN
bibechana-11783	30	23	is	be	AUX
bibechana-11783	30	24	defined	define	VERB
bibechana-11783	30	25	as	as	ADP
bibechana-11783	30	26	(	(	PUNCT
bibechana-11783	30	27	2.4	2.4	NUM
bibechana-11783	30	28	)	)	PUNCT
bibechana-11783	30	29	(	(	PUNCT
bibechana-11783	30	30	)	)	PUNCT
bibechana-11783	30	31	(	(	PUNCT
bibechana-11783	30	32	)	)	PUNCT
bibechana-11783	30	33	(	(	PUNCT
bibechana-11783	30	34	)	)	PUNCT
bibechana-11783	30	35	,	,	PUNCT
bibechana-11783	30	36	,	,	PUNCT
bibechana-11783	30	37	,	,	PUNCT
bibechana-11783	30	38	,	,	PUNCT
bibechana-11783	30	39	x	x	PROPN
bibechana-11783	30	40	y	y	NOUN
bibechana-11783	30	41	g	g	NOUN
bibechana-11783	30	42	x	x	VERB
bibechana-11783	30	43	y	y	NOUN
bibechana-11783	30	44	g	g	NOUN
bibechana-11783	30	45	x	x	INTJ
bibechana-11783	31	1	yϕ	yϕ	INTJ
bibechana-11783	31	2	ϕφ	ϕφ	INTJ
bibechana-11783	31	3	=	=	PUNCT
bibechana-11783	32	1	=	=	PUNCT
bibechana-11783	32	2	−	−	PROPN
bibechana-11783	32	3	since	since	SCONJ
bibechana-11783	32	4	ϕ	ϕ	PROPN
bibechana-11783	32	5	is	be	AUX
bibechana-11783	32	6	a	a	DET
bibechana-11783	32	7	skew	skew	NOUN
bibechana-11783	32	8	-	-	PUNCT
bibechana-11783	32	9	symmetric	symmetric	ADJ
bibechana-11783	32	10	with	with	ADP
bibechana-11783	32	11	respect	respect	NOUN
bibechana-11783	32	12	to	to	ADP
bibechana-11783	32	13	.g	.g	PROPN
bibechana-11783	32	14	an	an	DET
bibechana-11783	32	15	almost	almost	ADV
bibechana-11783	32	16	contact	contact	NOUN
bibechana-11783	32	17	metric	metric	ADJ
bibechana-11783	32	18	manifold	manifold	ADJ
bibechana-11783	32	19	m	m	VERB
bibechana-11783	32	20	is	be	AUX
bibechana-11783	32	21	called	call	VERB
bibechana-11783	32	22	trans	trans	ADJ
bibechana-11783	32	23	-	-	ADJ
bibechana-11783	32	24	sasakian	sasakian	ADJ
bibechana-11783	32	25	manifold	manifold	NOUN
bibechana-11783	32	26	if	if	SCONJ
bibechana-11783	32	27	[	[	X
bibechana-11783	32	28	2	2	NUM
bibechana-11783	32	29	]	]	X
bibechana-11783	32	30	(	(	PUNCT
bibechana-11783	32	31	2.5	2.5	NUM
bibechana-11783	32	32	)	)	PUNCT
bibechana-11783	32	33	(	(	PUNCT
bibechana-11783	32	34	)	)	PUNCT
bibechana-11783	32	35	(	(	PUNCT
bibechana-11783	32	36	)	)	PUNCT
bibechana-11783	32	37	(	(	PUNCT
bibechana-11783	32	38	)	)	PUNCT
bibechana-11783	32	39	{	{	PUNCT
bibechana-11783	32	40	}	}	PUNCT
bibechana-11783	32	41	(	(	PUNCT
bibechana-11783	32	42	)	)	PUNCT
bibechana-11783	32	43	(	(	PUNCT
bibechana-11783	32	44	)	)	PUNCT
bibechana-11783	32	45	{	{	PUNCT
bibechana-11783	32	46	}	}	PUNCT
bibechana-11783	32	47	,	,	PUNCT
bibechana-11783	32	48	,	,	PUNCT
bibechana-11783	32	49	,	,	PUNCT
bibechana-11783	32	50	x	x	PROPN
bibechana-11783	32	51	y	y	NOUN
bibechana-11783	32	52	g	g	NOUN
bibechana-11783	32	53	x	x	VERB
bibechana-11783	32	54	y	y	NOUN
bibechana-11783	32	55	y	y	PROPN
bibechana-11783	32	56	x	x	SYM
bibechana-11783	32	57	g	g	NOUN
bibechana-11783	32	58	x	x	X
bibechana-11783	32	59	y	y	PROPN
bibechana-11783	32	60	y	y	PROPN
bibechana-11783	32	61	xϕ	xϕ	PROPN
bibechana-11783	33	1	α	α	PROPN
bibechana-11783	33	2	ξ	ξ	PROPN
bibechana-11783	33	3	η	η	PROPN
bibechana-11783	33	4	β	β	X
bibechana-11783	33	5	ϕ	ϕ	X
bibechana-11783	33	6	ξ	ξ	PROPN
bibechana-11783	33	7	η	η	PROPN
bibechana-11783	33	8	ϕ∇	ϕ∇	PROPN
bibechana-11783	33	9	=	=	PUNCT
bibechana-11783	34	1	−	−	PROPN
bibechana-11783	35	1	+	+	CCONJ
bibechana-11783	35	2	−	−	PROPN
bibechana-11783	35	3	where	where	SCONJ
bibechana-11783	35	4	∇	∇	PROPN
bibechana-11783	35	5	is	be	AUX
bibechana-11783	35	6	levi	levi	PROPN
bibechana-11783	35	7	-	-	PUNCT
bibechana-11783	35	8	civita	civita	NOUN
bibechana-11783	35	9	connection	connection	NOUN
bibechana-11783	35	10	of	of	ADP
bibechana-11783	35	11	riemannian	riemannian	ADJ
bibechana-11783	35	12	metric	metric	ADJ
bibechana-11783	35	13	g	g	PROPN
bibechana-11783	35	14	and	and	CCONJ
bibechana-11783	35	15	,	,	PUNCT
bibechana-11783	35	16	α	α	PROPN
bibechana-11783	35	17	β	β	X
bibechana-11783	35	18	are	be	AUX
bibechana-11783	35	19	smooth	smooth	ADJ
bibechana-11783	35	20	functions	function	NOUN
bibechana-11783	35	21	on	on	ADP
bibechana-11783	35	22	.m	.m	NOUN
bibechana-11783	35	23	from	from	ADP
bibechana-11783	35	24	(	(	PUNCT
bibechana-11783	35	25	2.5	2.5	NUM
bibechana-11783	35	26	)	)	PUNCT
bibechana-11783	35	27	it	it	PRON
bibechana-11783	35	28	follows	follow	VERB
bibechana-11783	35	29	that	that	SCONJ
bibechana-11783	35	30	(	(	PUNCT
bibechana-11783	35	31	2.6	2.6	NUM
bibechana-11783	35	32	)	)	PUNCT
bibechana-11783	35	33	(	(	PUNCT
bibechana-11783	35	34	)	)	PUNCT
bibechana-11783	35	35	{	{	PUNCT
bibechana-11783	35	36	}	}	PUNCT
bibechana-11783	35	37	,	,	PUNCT
bibechana-11783	35	38	x	x	SYM
bibechana-11783	36	1	x	x	PUNCT
bibechana-11783	36	2	x	x	PUNCT
bibechana-11783	36	3	xξ	xξ	PROPN
bibechana-11783	36	4	αϕ	αϕ	PROPN
bibechana-11783	36	5	β	β	PROPN
bibechana-11783	36	6	η	η	PROPN
bibechana-11783	36	7	ξ∇	ξ∇	PROPN
bibechana-11783	36	8	=	=	PUNCT
bibechana-11783	37	1	−	−	PROPN
bibechana-11783	38	1	+	+	CCONJ
bibechana-11783	38	2	−	−	PROPN
bibechana-11783	38	3	(	(	PUNCT
bibechana-11783	38	4	2.7	2.7	NUM
bibechana-11783	38	5	)	)	PUNCT
bibechana-11783	38	6	(	(	PUNCT
bibechana-11783	38	7	)	)	PUNCT
bibechana-11783	38	8	(	(	PUNCT
bibechana-11783	38	9	)	)	PUNCT
bibechana-11783	38	10	(	(	PUNCT
bibechana-11783	38	11	)	)	PUNCT
bibechana-11783	38	12	,	,	PUNCT
bibechana-11783	38	13	,	,	PUNCT
bibechana-11783	38	14	.x	.x	PROPN
bibechana-11783	39	1	y	y	PROPN
bibechana-11783	39	2	g	g	PROPN
bibechana-11783	39	3	x	x	VERB
bibechana-11783	39	4	y	y	NOUN
bibechana-11783	39	5	g	g	NOUN
bibechana-11783	39	6	x	x	X
bibechana-11783	39	7	yη	yη	VERB
bibechana-11783	39	8	α	α	X
bibechana-11783	39	9	ϕ	ϕ	X
bibechana-11783	39	10	β	β	X
bibechana-11783	39	11	ϕ	ϕ	X
bibechana-11783	39	12	ϕ∇	ϕ∇	PROPN
bibechana-11783	40	1	=	=	PUNCT
bibechana-11783	40	2	−	−	PROPN
bibechana-11783	41	1	+	+	CCONJ
bibechana-11783	41	2	in	in	ADP
bibechana-11783	41	3	a	a	DET
bibechana-11783	41	4	(	(	PUNCT
bibechana-11783	41	5	)	)	SYM
bibechana-11783	41	6	2	2	NUM
bibechana-11783	41	7	1n+	1n+	NUM
bibechana-11783	41	8	-dimensional	-dimensional	ADJ
bibechana-11783	41	9	trans	trans	PROPN
bibechana-11783	41	10	-	-	ADJ
bibechana-11783	41	11	sasakian	sasakian	ADJ
bibechana-11783	41	12	manifold	manifold	NOUN
bibechana-11783	41	13	,	,	PUNCT
bibechana-11783	41	14	m	m	AUX
bibechana-11783	41	15	the	the	DET
bibechana-11783	41	16	following	follow	VERB
bibechana-11783	41	17	relations	relation	NOUN
bibechana-11783	41	18	hold	hold	VERB
bibechana-11783	41	19	[	[	X
bibechana-11783	41	20	6	6	NUM
bibechana-11783	41	21	]	]	PUNCT
bibechana-11783	41	22	(	(	PUNCT
bibechana-11783	41	23	2.8	2.8	NUM
bibechana-11783	41	24	)	)	PUNCT
bibechana-11783	41	25	(	(	PUNCT
bibechana-11783	41	26	)	)	PUNCT
bibechana-11783	41	27	(	(	PUNCT
bibechana-11783	41	28	)	)	PUNCT
bibechana-11783	41	29	(	(	PUNCT
bibechana-11783	41	30	)	)	PUNCT
bibechana-11783	41	31	(	(	PUNCT
bibechana-11783	41	32	)	)	PUNCT
bibechana-11783	41	33	(	(	PUNCT
bibechana-11783	41	34	)	)	PUNCT
bibechana-11783	41	35	(	(	PUNCT
bibechana-11783	41	36	)	)	PUNCT
bibechana-11783	41	37	(	(	PUNCT
bibechana-11783	41	38	)	)	PUNCT
bibechana-11783	41	39	(	(	PUNCT
bibechana-11783	41	40	)	)	PUNCT
bibechana-11783	41	41	(	(	PUNCT
bibechana-11783	41	42	)	)	PUNCT
bibechana-11783	41	43	(	(	PUNCT
bibechana-11783	41	44	)	)	PUNCT
bibechana-11783	41	45	(	(	PUNCT
bibechana-11783	41	46	)	)	PUNCT
bibechana-11783	41	47	(	(	PUNCT
bibechana-11783	41	48	)	)	PUNCT
bibechana-11783	41	49	2	2	NUM
bibechana-11783	41	50	2	2	NUM
bibechana-11783	41	51	2	2	NUM
bibechana-11783	41	52	2	2	NUM
bibechana-11783	41	53	,	,	PUNCT
bibechana-11783	41	54	[	[	PUNCT
bibechana-11783	41	55	]	]	X
bibechana-11783	41	56	2	2	NUM
bibechana-11783	41	57	[	[	PUNCT
bibechana-11783	41	58	]	]	X
bibechana-11783	41	59	,	,	PUNCT
bibechana-11783	41	60	r	r	NOUN
bibechana-11783	41	61	x	x	VERB
bibechana-11783	41	62	y	y	NOUN
bibechana-11783	41	63	y	y	NOUN
bibechana-11783	41	64	x	x	PUNCT
bibechana-11783	41	65	x	x	PUNCT
bibechana-11783	41	66	y	y	VERB
bibechana-11783	41	67	x	x	X
bibechana-11783	41	68	y	y	NOUN
bibechana-11783	41	69	x	x	X
bibechana-11783	41	70	y	y	NOUN
bibechana-11783	41	71	y	y	PROPN
bibechana-11783	41	72	x	x	PUNCT
bibechana-11783	41	73	x	x	VERB
bibechana-11783	41	74	y	y	NOUN
bibechana-11783	41	75	y	y	PROPN
bibechana-11783	41	76	x	x	SYM
bibechana-11783	41	77	y	y	NOUN
bibechana-11783	41	78	x	x	SYM
bibechana-11783	41	79	ξ	ξ	PROPN
bibechana-11783	41	80	α	α	X
bibechana-11783	41	81	β	β	PROPN
bibechana-11783	41	82	η	η	PROPN
bibechana-11783	41	83	η	η	PROPN
bibechana-11783	41	84	α	α	PROPN
bibechana-11783	41	85	ϕ	ϕ	X
bibechana-11783	41	86	β	β	X
bibechana-11783	41	87	ϕ	ϕ	X
bibechana-11783	41	88	αβ	αβ	PROPN
bibechana-11783	41	89	η	η	PROPN
bibechana-11783	41	90	ϕ	ϕ	PROPN
bibechana-11783	41	91	η	η	PROPN
bibechana-11783	41	92	ϕ	ϕ	PROPN
bibechana-11783	41	93	α	α	PROPN
bibechana-11783	41	94	ϕ	ϕ	X
bibechana-11783	41	95	β	β	X
bibechana-11783	41	96	ϕ	ϕ	X
bibechana-11783	41	97	=	=	PUNCT
bibechana-11783	41	98	−	−	PROPN
bibechana-11783	41	99	−	−	PROPN
bibechana-11783	41	100	−	−	PROPN
bibechana-11783	41	101	−	−	PROPN
bibechana-11783	42	1	+	+	CCONJ
bibechana-11783	42	2	−	−	PROPN
bibechana-11783	43	1	+	+	CCONJ
bibechana-11783	43	2	+	+	CCONJ
bibechana-11783	43	3	(	(	PUNCT
bibechana-11783	43	4	2.9	2.9	NUM
bibechana-11783	43	5	)	)	PUNCT
bibechana-11783	43	6	(	(	PUNCT
bibechana-11783	43	7	)	)	PUNCT
bibechana-11783	43	8	(	(	PUNCT
bibechana-11783	43	9	)	)	PUNCT
bibechana-11783	43	10	(	(	PUNCT
bibechana-11783	43	11	)	)	PUNCT
bibechana-11783	43	12	(	(	PUNCT
bibechana-11783	43	13	)	)	PUNCT
bibechana-11783	43	14	(	(	PUNCT
bibechana-11783	43	15	)	)	PUNCT
bibechana-11783	43	16	(	(	PUNCT
bibechana-11783	43	17	)	)	PUNCT
bibechana-11783	43	18	(	(	PUNCT
bibechana-11783	43	19	)	)	PUNCT
bibechana-11783	43	20	(	(	PUNCT
bibechana-11783	43	21	)	)	PUNCT
bibechana-11783	43	22	(	(	PUNCT
bibechana-11783	43	23	)	)	PUNCT
bibechana-11783	43	24	(	(	PUNCT
bibechana-11783	43	25	)	)	PUNCT
bibechana-11783	43	26	(	(	PUNCT
bibechana-11783	43	27	)	)	PUNCT
bibechana-11783	43	28	(	(	PUNCT
bibechana-11783	43	29	)	)	PUNCT
bibechana-11783	43	30	(	(	PUNCT
bibechana-11783	43	31	)	)	PUNCT
bibechana-11783	43	32	2	2	NUM
bibechana-11783	43	33	2	2	NUM
bibechana-11783	43	34	,	,	PUNCT
bibechana-11783	43	35	[	[	PUNCT
bibechana-11783	43	36	,	,	PUNCT
bibechana-11783	43	37	]	]	PUNCT
bibechana-11783	43	38	2	2	NUM
bibechana-11783	43	39	[	[	PUNCT
bibechana-11783	43	40	,	,	PUNCT
bibechana-11783	43	41	]	]	PUNCT
bibechana-11783	43	42	,	,	PUNCT
bibechana-11783	43	43	[	[	PUNCT
bibechana-11783	43	44	]	]	X
bibechana-11783	43	45	,	,	PUNCT
bibechana-11783	43	46	,	,	PUNCT
bibechana-11783	44	1	r	r	NOUN
bibechana-11783	44	2	x	x	PUNCT
bibechana-11783	44	3	y	y	NOUN
bibechana-11783	44	4	g	g	NOUN
bibechana-11783	44	5	x	x	VERB
bibechana-11783	44	6	y	y	NOUN
bibechana-11783	44	7	y	y	PROPN
bibechana-11783	44	8	x	x	SYM
bibechana-11783	44	9	g	g	NOUN
bibechana-11783	44	10	y	y	PROPN
bibechana-11783	44	11	x	x	SYM
bibechana-11783	44	12	y	y	NOUN
bibechana-11783	44	13	x	x	PUNCT
bibechana-11783	44	14	y	y	NOUN
bibechana-11783	44	15	x	x	X
bibechana-11783	44	16	g	g	PROPN
bibechana-11783	44	17	y	y	PROPN
bibechana-11783	44	18	x	x	PROPN
bibechana-11783	44	19	grad	grad	PROPN
bibechana-11783	44	20	y	y	PROPN
bibechana-11783	44	21	x	x	PUNCT
bibechana-11783	44	22	x	x	PUNCT
bibechana-11783	44	23	g	g	NOUN
bibechana-11783	44	24	x	x	PUNCT
bibechana-11783	44	25	y	y	PROPN
bibechana-11783	44	26	grad	grad	PROPN
bibechana-11783	44	27	ξ	ξ	PROPN
bibechana-11783	44	28	α	α	PROPN
bibechana-11783	44	29	β	β	X
bibechana-11783	44	30	ξ	ξ	X
bibechana-11783	44	31	η	η	PROPN
bibechana-11783	44	32	αβ	αβ	PRON
bibechana-11783	44	33	ϕ	ϕ	X
bibechana-11783	44	34	ξ	ξ	PROPN
bibechana-11783	44	35	η	η	X
bibechana-11783	44	36	ϕ	ϕ	PROPN
bibechana-11783	44	37	α	α	PROPN
bibechana-11783	44	38	ϕ	ϕ	X
bibechana-11783	44	39	ϕ	ϕ	PROPN
bibechana-11783	44	40	α	α	X
bibechana-11783	44	41	β	β	X
bibechana-11783	44	42	η	η	X
bibechana-11783	44	43	ξ	ξ	PROPN
bibechana-11783	44	44	ϕ	ϕ	X
bibechana-11783	44	45	ϕ	ϕ	X
bibechana-11783	44	46	β	β	X
bibechana-11783	44	47	=	=	PUNCT
bibechana-11783	44	48	−	−	PROPN
bibechana-11783	45	1	−	−	PROPN
bibechana-11783	46	1	+	+	CCONJ
bibechana-11783	46	2	−	−	PROPN
bibechana-11783	47	1	+	+	CCONJ
bibechana-11783	47	2	+	+	PUNCT
bibechana-11783	48	1	+	+	CCONJ
bibechana-11783	48	2	−	−	NOUN
bibechana-11783	48	3	−	−	PROPN
bibechana-11783	48	4	shah	shah	PROPN
bibechana-11783	48	5	/	/	SYM
bibechana-11783	48	6	bibechana	bibechana	PROPN
bibechana-11783	48	7	12	12	NUM
bibechana-11783	48	8	(	(	PUNCT
bibechana-11783	48	9	2015	2015	NUM
bibechana-11783	48	10	)	)	PUNCT
bibechana-11783	48	11	80	80	NUM
bibechana-11783	48	12	-	-	SYM
bibechana-11783	48	13	88	88	NUM
bibechana-11783	48	14	:	:	PUNCT
bibechana-11783	48	15	p.	p.	NOUN
bibechana-11783	48	16	82	82	NUM
bibechana-11783	48	17	(	(	PUNCT
bibechana-11783	48	18	2.10	2.10	NUM
bibechana-11783	48	19	)	)	PUNCT
bibechana-11783	48	20	(	(	PUNCT
bibechana-11783	48	21	)	)	PUNCT
bibechana-11783	48	22	2	2	NUM
bibechana-11783	48	23	0,αβ	0,αβ	NOUN
bibechana-11783	48	24	ξα+	ξα+	NOUN
bibechana-11783	48	25	=	=	SYM
bibechana-11783	48	26	(	(	PUNCT
bibechana-11783	48	27	2.11	2.11	NUM
bibechana-11783	48	28	)	)	PUNCT
bibechana-11783	48	29	(	(	PUNCT
bibechana-11783	48	30	)	)	PUNCT
bibechana-11783	48	31	(	(	PUNCT
bibechana-11783	48	32	)	)	PUNCT
bibechana-11783	48	33	(	(	PUNCT
bibechana-11783	48	34	)	)	PUNCT
bibechana-11783	48	35	(	(	PUNCT
bibechana-11783	48	36	)	)	PUNCT
bibechana-11783	48	37	(	(	PUNCT
bibechana-11783	48	38	)	)	PUNCT
bibechana-11783	48	39	(	(	PUNCT
bibechana-11783	48	40	)	)	PUNCT
bibechana-11783	48	41	(	(	PUNCT
bibechana-11783	48	42	)	)	PUNCT
bibechana-11783	48	43	(	(	PUNCT
bibechana-11783	48	44	)	)	PUNCT
bibechana-11783	48	45	2	2	NUM
bibechana-11783	48	46	2	2	NUM
bibechana-11783	48	47	,	,	PUNCT
bibechana-11783	48	48	[	[	X
bibechana-11783	48	49	2	2	NUM
bibechana-11783	48	50	]	]	SYM
bibechana-11783	48	51	2	2	NUM
bibechana-11783	48	52	1	1	NUM
bibechana-11783	48	53	,	,	PUNCT
bibechana-11783	48	54	s	s	NOUN
bibechana-11783	48	55	x	x	NOUN
bibechana-11783	48	56	n	n	PROPN
bibechana-11783	48	57	x	x	SYM
bibechana-11783	48	58	x	x	SYM
bibechana-11783	49	1	n	n	PRON
bibechana-11783	49	2	xξ	xξ	PROPN
bibechana-11783	49	3	α	α	PROPN
bibechana-11783	49	4	β	β	PROPN
bibechana-11783	49	5	ξβ	ξβ	PROPN
bibechana-11783	49	6	η	η	PROPN
bibechana-11783	49	7	ϕ	ϕ	PROPN
bibechana-11783	49	8	α	α	PROPN
bibechana-11783	49	9	β=	β=	NOUN
bibechana-11783	50	1	−	−	ADP
bibechana-11783	50	2	−	−	PROPN
bibechana-11783	50	3	−	−	PROPN
bibechana-11783	51	1	−	−	PROPN
bibechana-11783	51	2	−	−	PROPN
bibechana-11783	51	3	(	(	PUNCT
bibechana-11783	51	4	2.12	2.12	NUM
bibechana-11783	51	5	)	)	PUNCT
bibechana-11783	51	6	(	(	PUNCT
bibechana-11783	51	7	)	)	PUNCT
bibechana-11783	51	8	(	(	PUNCT
bibechana-11783	51	9	)	)	PUNCT
bibechana-11783	51	10	(	(	PUNCT
bibechana-11783	51	11	)	)	PUNCT
bibechana-11783	51	12	(	(	PUNCT
bibechana-11783	51	13	)	)	PUNCT
bibechana-11783	51	14	,	,	PUNCT
bibechana-11783	51	15	,	,	PUNCT
bibechana-11783	51	16	,	,	PUNCT
bibechana-11783	51	17	,	,	PUNCT
bibechana-11783	51	18	r	r	NOUN
bibechana-11783	51	19	x	x	SYM
bibechana-11783	51	20	y	y	NOUN
bibechana-11783	51	21	z	z	NOUN
bibechana-11783	51	22	g	g	NOUN
bibechana-11783	52	1	r	r	NOUN
bibechana-11783	52	2	x	x	PUNCT
bibechana-11783	52	3	y	y	NOUN
bibechana-11783	52	4	zη	zη	PROPN
bibechana-11783	52	5	ξ=	ξ=	ADV
bibechana-11783	53	1	−	−	PROPN
bibechana-11783	53	2	(	(	PUNCT
bibechana-11783	53	3	2.13	2.13	NUM
bibechana-11783	53	4	)	)	PUNCT
bibechana-11783	53	5	(	(	PUNCT
bibechana-11783	53	6	)	)	PUNCT
bibechana-11783	53	7	(	(	PUNCT
bibechana-11783	53	8	)	)	PUNCT
bibechana-11783	53	9	(	(	PUNCT
bibechana-11783	53	10	)	)	PUNCT
bibechana-11783	53	11	(	(	PUNCT
bibechana-11783	53	12	)	)	PUNCT
bibechana-11783	53	13	(	(	PUNCT
bibechana-11783	53	14	)	)	PUNCT
bibechana-11783	53	15	(	(	PUNCT
bibechana-11783	53	16	)	)	PUNCT
bibechana-11783	53	17	,	,	PUNCT
bibechana-11783	53	18	,	,	PUNCT
bibechana-11783	53	19	,	,	PUNCT
bibechana-11783	53	20	0,r	0,r	NOUN
bibechana-11783	54	1	x	x	SYM
bibechana-11783	54	2	y	y	NOUN
bibechana-11783	54	3	r	r	NOUN
bibechana-11783	54	4	x	x	PUNCT
bibechana-11783	54	5	r	r	NOUN
bibechana-11783	54	6	xη	xη	PROPN
bibechana-11783	54	7	ξ	ξ	X
bibechana-11783	54	8	η	η	X
bibechana-11783	54	9	ξ	ξ	PROPN
bibechana-11783	54	10	ξ	ξ	PROPN
bibechana-11783	54	11	η	η	X
bibechana-11783	54	12	ξ	ξ	X
bibechana-11783	54	13	ξ=	ξ=	NOUN
bibechana-11783	54	14	=	=	SYM
bibechana-11783	54	15	=	=	SYM
bibechana-11783	54	16	(	(	PUNCT
bibechana-11783	54	17	2.14	2.14	NUM
bibechana-11783	54	18	)	)	PUNCT
bibechana-11783	54	19	(	(	PUNCT
bibechana-11783	54	20	)	)	PUNCT
bibechana-11783	54	21	(	(	PUNCT
bibechana-11783	54	22	)	)	PUNCT
bibechana-11783	54	23	(	(	PUNCT
bibechana-11783	54	24	)	)	PUNCT
bibechana-11783	54	25	(	(	PUNCT
bibechana-11783	54	26	)	)	PUNCT
bibechana-11783	54	27	(	(	PUNCT
bibechana-11783	54	28	)	)	PUNCT
bibechana-11783	54	29	2	2	NUM
bibechana-11783	54	30	2	2	NUM
bibechana-11783	54	31	,	,	PUNCT
bibechana-11783	54	32	,	,	PUNCT
bibechana-11783	54	33	.r	.r	NOUN
bibechana-11783	54	34	x	x	PUNCT
bibechana-11783	55	1	y	y	NOUN
bibechana-11783	55	2	g	g	NOUN
bibechana-11783	55	3	x	x	X
bibechana-11783	55	4	yη	yη	PROPN
bibechana-11783	55	5	ξ	ξ	X
bibechana-11783	55	6	α	α	NOUN
bibechana-11783	55	7	β	β	X
bibechana-11783	55	8	ξβ	ξβ	NOUN
bibechana-11783	55	9	ϕ	ϕ	NOUN
bibechana-11783	55	10	ϕ=	ϕ=	NOUN
bibechana-11783	55	11	−	−	PROPN
bibechana-11783	55	12	−	−	PROPN
bibechana-11783	55	13	in	in	ADP
bibechana-11783	55	14	a	a	DET
bibechana-11783	55	15	(	(	PUNCT
bibechana-11783	55	16	)	)	SYM
bibechana-11783	55	17	2	2	NUM
bibechana-11783	55	18	1n+	1n+	NUM
bibechana-11783	55	19	-dimensional	-dimensional	ADJ
bibechana-11783	55	20	trans	trans	PROPN
bibechana-11783	55	21	-	-	ADJ
bibechana-11783	55	22	sasakian	sasakian	ADJ
bibechana-11783	55	23	manifold	manifold	NOUN
bibechana-11783	55	24	if	if	SCONJ
bibechana-11783	55	25	we	we	PRON
bibechana-11783	55	26	put	put	VERB
bibechana-11783	55	27	(	(	PUNCT
bibechana-11783	55	28	)	)	PUNCT
bibechana-11783	55	29	(	(	PUNCT
bibechana-11783	55	30	)	)	PUNCT
bibechana-11783	55	31	2	2	NUM
bibechana-11783	55	32	1	1	NUM
bibechana-11783	55	33	,	,	PUNCT
bibechana-11783	55	34	grad	grad	NOUN
bibechana-11783	55	35	n	n	CCONJ
bibechana-11783	55	36	gradϕ	gradϕ	PROPN
bibechana-11783	55	37	α	α	PROPN
bibechana-11783	55	38	β=	β=	NOUN
bibechana-11783	56	1	−	−	PROPN
bibechana-11783	56	2	then	then	ADV
bibechana-11783	56	3	we	we	PRON
bibechana-11783	56	4	have	have	VERB
bibechana-11783	56	5	(	(	PUNCT
bibechana-11783	56	6	2.15	2.15	NUM
bibechana-11783	56	7	)	)	PUNCT
bibechana-11783	56	8	(	(	PUNCT
bibechana-11783	56	9	)	)	PUNCT
bibechana-11783	56	10	0,ξβ	0,ξβ	PROPN
bibechana-11783	57	1	=	=	PUNCT
bibechana-11783	57	2	(	(	PUNCT
bibechana-11783	57	3	2.16	2.16	NUM
bibechana-11783	57	4	)	)	PUNCT
bibechana-11783	57	5	(	(	PUNCT
bibechana-11783	57	6	)	)	PUNCT
bibechana-11783	57	7	(	(	PUNCT
bibechana-11783	57	8	)	)	PUNCT
bibechana-11783	57	9	(	(	PUNCT
bibechana-11783	57	10	)	)	PUNCT
bibechana-11783	57	11	2	2	NUM
bibechana-11783	57	12	2	2	NUM
bibechana-11783	57	13	,	,	PUNCT
bibechana-11783	57	14	2	2	NUM
bibechana-11783	57	15	,	,	PUNCT
bibechana-11783	57	16	s	s	NOUN
bibechana-11783	57	17	x	x	VERB
bibechana-11783	57	18	n	n	ADP
bibechana-11783	57	19	xξ	xξ	NOUN
bibechana-11783	57	20	α	α	PROPN
bibechana-11783	57	21	β	β	NOUN
bibechana-11783	57	22	η=	η=	NOUN
bibechana-11783	57	23	−	−	PROPN
bibechana-11783	57	24	(	(	PUNCT
bibechana-11783	57	25	2.17	2.17	NUM
bibechana-11783	57	26	)	)	PUNCT
bibechana-11783	57	27	(	(	PUNCT
bibechana-11783	57	28	)	)	PUNCT
bibechana-11783	57	29	(	(	PUNCT
bibechana-11783	57	30	)	)	PUNCT
bibechana-11783	57	31	(	(	PUNCT
bibechana-11783	57	32	)	)	PUNCT
bibechana-11783	57	33	(	(	PUNCT
bibechana-11783	57	34	)	)	PUNCT
bibechana-11783	57	35	2	2	NUM
bibechana-11783	57	36	2	2	NUM
bibechana-11783	57	37	,	,	PUNCT
bibechana-11783	57	38	,	,	PUNCT
bibechana-11783	57	39	,	,	PUNCT
bibechana-11783	57	40	r	r	NOUN
bibechana-11783	57	41	x	x	VERB
bibechana-11783	57	42	y	y	NOUN
bibechana-11783	57	43	g	g	NOUN
bibechana-11783	57	44	x	x	X
bibechana-11783	57	45	yη	yη	PROPN
bibechana-11783	57	46	ξ	ξ	X
bibechana-11783	57	47	α	α	NOUN
bibechana-11783	57	48	β	β	X
bibechana-11783	57	49	ϕ	ϕ	NOUN
bibechana-11783	57	50	ϕ=	ϕ=	NOUN
bibechana-11783	57	51	−	−	PROPN
bibechana-11783	57	52	(	(	PUNCT
bibechana-11783	57	53	2.18	2.18	NUM
bibechana-11783	57	54	)	)	PUNCT
bibechana-11783	57	55	(	(	PUNCT
bibechana-11783	57	56	)	)	PUNCT
bibechana-11783	57	57	(	(	PUNCT
bibechana-11783	57	58	)	)	PUNCT
bibechana-11783	57	59	(	(	PUNCT
bibechana-11783	57	60	)	)	PUNCT
bibechana-11783	57	61	{	{	PUNCT
bibechana-11783	57	62	}	}	PUNCT
bibechana-11783	57	63	2	2	NUM
bibechana-11783	57	64	2	2	NUM
bibechana-11783	57	65	,	,	PUNCT
bibechana-11783	57	66	,	,	PUNCT
bibechana-11783	57	67	r	r	NOUN
bibechana-11783	57	68	x	x	X
bibechana-11783	57	69	x	x	NOUN
bibechana-11783	57	70	xξ	xξ	PROPN
bibechana-11783	57	71	ξ	ξ	PROPN
bibechana-11783	57	72	α	α	PROPN
bibechana-11783	57	73	β	β	PROPN
bibechana-11783	57	74	η	η	PROPN
bibechana-11783	57	75	ξ=	ξ=	PROPN
bibechana-11783	57	76	−	−	PROPN
bibechana-11783	57	77	−	−	PROPN
bibechana-11783	57	78	(	(	PUNCT
bibechana-11783	57	79	2.19	2.19	NUM
bibechana-11783	57	80	)	)	PUNCT
bibechana-11783	57	81	(	(	PUNCT
bibechana-11783	57	82	)	)	PUNCT
bibechana-11783	57	83	(	(	PUNCT
bibechana-11783	57	84	)	)	PUNCT
bibechana-11783	57	85	,	,	PUNCT
bibechana-11783	57	86	,	,	PUNCT
bibechana-11783	57	87	.r	.r	NOUN
bibechana-11783	58	1	x	x	PUNCT
bibechana-11783	58	2	r	r	NOUN
bibechana-11783	58	3	xξ	xξ	NOUN
bibechana-11783	58	4	ξ	ξ	X
bibechana-11783	58	5	ξ	ξ	PROPN
bibechana-11783	58	6	ξ=	ξ=	NOUN
bibechana-11783	58	7	−	−	NOUN
bibechana-11783	58	8	throughout	throughout	ADP
bibechana-11783	58	9	the	the	DET
bibechana-11783	58	10	paper	paper	NOUN
bibechana-11783	58	11	we	we	PRON
bibechana-11783	58	12	consider	consider	VERB
bibechana-11783	58	13	the	the	DET
bibechana-11783	58	14	trans	trans	ADJ
bibechana-11783	58	15	-	-	ADJ
bibechana-11783	58	16	sasakian	sasakian	ADJ
bibechana-11783	58	17	manifold	manifold	NOUN
bibechana-11783	58	18	under	under	ADP
bibechana-11783	58	19	the	the	DET
bibechana-11783	58	20	condition	condition	NOUN
bibechana-11783	58	21	(	(	PUNCT
bibechana-11783	58	22	)	)	PUNCT
bibechana-11783	58	23	(	(	PUNCT
bibechana-11783	58	24	)	)	SYM
bibechana-11783	58	25	2	2	NUM
bibechana-11783	58	26	1	1	NUM
bibechana-11783	58	27	.grad	.grad	NOUN
bibechana-11783	58	28	n	n	PRON
bibechana-11783	58	29	gradϕ	gradϕ	VERB
bibechana-11783	58	30	α	α	NOUN
bibechana-11783	58	31	β=	β=	NOUN
bibechana-11783	58	32	−	−	PROPN
bibechana-11783	58	33	in	in	ADP
bibechana-11783	58	34	a	a	DET
bibechana-11783	58	35	(	(	PUNCT
bibechana-11783	58	36	)	)	SYM
bibechana-11783	58	37	2	2	NUM
bibechana-11783	58	38	1n+	1n+	NUM
bibechana-11783	58	39	-dimensional	-dimensional	ADJ
bibechana-11783	58	40	trans	trans	PROPN
bibechana-11783	58	41	-	-	ADJ
bibechana-11783	58	42	sasakian	sasakian	ADJ
bibechana-11783	58	43	manifold	manifold	NOUN
bibechana-11783	58	44	the	the	DET
bibechana-11783	58	45	contact	contact	NOUN
bibechana-11783	58	46	conformal	conformal	NOUN
bibechana-11783	58	47	curvature	curvature	NOUN
bibechana-11783	58	48	tensor	tensor	NOUN
bibechana-11783	58	49	field	field	NOUN
bibechana-11783	58	50	0c	0c	NOUN
bibechana-11783	58	51	of	of	ADP
bibechana-11783	58	52	type	type	NOUN
bibechana-11783	58	53	(	(	PUNCT
bibechana-11783	58	54	1	1	NUM
bibechana-11783	58	55	,	,	PUNCT
bibechana-11783	58	56	3	3	NUM
bibechana-11783	58	57	)	)	PUNCT
bibechana-11783	58	58	which	which	PRON
bibechana-11783	58	59	is	be	AUX
bibechana-11783	58	60	defined	define	VERB
bibechana-11783	58	61	by	by	ADP
bibechana-11783	58	62	[	[	X
bibechana-11783	58	63	8	8	NUM
bibechana-11783	58	64	]	]	PUNCT
bibechana-11783	58	65	can	can	AUX
bibechana-11783	58	66	be	be	AUX
bibechana-11783	58	67	written	write	VERB
bibechana-11783	58	68	as	as	ADP
bibechana-11783	58	69	(	(	PUNCT
bibechana-11783	58	70	2.20	2.20	NUM
bibechana-11783	58	71	)	)	PUNCT
bibechana-11783	58	72	(	(	PUNCT
bibechana-11783	58	73	)	)	PUNCT
bibechana-11783	58	74	(	(	PUNCT
bibechana-11783	58	75	)	)	PUNCT
bibechana-11783	58	76	(	(	PUNCT
bibechana-11783	58	77	)	)	PUNCT
bibechana-11783	58	78	(	(	PUNCT
bibechana-11783	58	79	)	)	PUNCT
bibechana-11783	58	80	(	(	PUNCT
bibechana-11783	58	81	)	)	PUNCT
bibechana-11783	58	82	(	(	PUNCT
bibechana-11783	58	83	)	)	PUNCT
bibechana-11783	58	84	(	(	PUNCT
bibechana-11783	58	85	)	)	PUNCT
bibechana-11783	58	86	(	(	PUNCT
bibechana-11783	58	87	)	)	PUNCT
bibechana-11783	58	88	(	(	PUNCT
bibechana-11783	58	89	)	)	PUNCT
bibechana-11783	58	90	(	(	PUNCT
bibechana-11783	58	91	)	)	PUNCT
bibechana-11783	58	92	(	(	PUNCT
bibechana-11783	58	93	)	)	PUNCT
bibechana-11783	58	94	(	(	PUNCT
bibechana-11783	58	95	)	)	PUNCT
bibechana-11783	58	96	(	(	PUNCT
bibechana-11783	58	97	)	)	PUNCT
bibechana-11783	58	98	(	(	PUNCT
bibechana-11783	58	99	)	)	PUNCT
bibechana-11783	58	100	(	(	PUNCT
bibechana-11783	58	101	)	)	PUNCT
bibechana-11783	58	102	(	(	PUNCT
bibechana-11783	58	103	)	)	PUNCT
bibechana-11783	58	104	(	(	PUNCT
bibechana-11783	58	105	)	)	PUNCT
bibechana-11783	58	106	(	(	PUNCT
bibechana-11783	58	107	)	)	PUNCT
bibechana-11783	58	108	(	(	PUNCT
bibechana-11783	58	109	)	)	PUNCT
bibechana-11783	58	110	(	(	PUNCT
bibechana-11783	58	111	)	)	PUNCT
bibechana-11783	58	112	(	(	PUNCT
bibechana-11783	58	113	)	)	PUNCT
bibechana-11783	58	114	(	(	PUNCT
bibechana-11783	58	115	)	)	PUNCT
bibechana-11783	58	116	0	0	NUM
bibechana-11783	58	117	1	1	NUM
bibechana-11783	58	118	,	,	PUNCT
bibechana-11783	58	119	,	,	PUNCT
bibechana-11783	58	120	{	{	PUNCT
bibechana-11783	58	121	,	,	PUNCT
bibechana-11783	58	122	,	,	PUNCT
bibechana-11783	58	123	,	,	PUNCT
bibechana-11783	58	124	2	2	NUM
bibechana-11783	58	125	,	,	PUNCT
bibechana-11783	58	126	,	,	PUNCT
bibechana-11783	58	127	,	,	PUNCT
bibechana-11783	58	128	,	,	PUNCT
bibechana-11783	58	129	,	,	PUNCT
bibechana-11783	58	130	,	,	PUNCT
bibechana-11783	58	131	,	,	PUNCT
bibechana-11783	58	132	2	2	NUM
bibechana-11783	58	133	,	,	PUNCT
bibechana-11783	58	134	2	2	NUM
bibechana-11783	58	135	,	,	PUNCT
bibechana-11783	58	136	c	c	NOUN
bibechana-11783	58	137	x	x	SYM
bibechana-11783	59	1	y	y	PROPN
bibechana-11783	59	2	z	z	NOUN
bibechana-11783	59	3	r	r	NOUN
bibechana-11783	59	4	x	x	PUNCT
bibechana-11783	60	1	y	y	PROPN
bibechana-11783	60	2	z	z	PROPN
bibechana-11783	60	3	s	s	PROPN
bibechana-11783	60	4	y	y	PROPN
bibechana-11783	60	5	z	z	NOUN
bibechana-11783	60	6	x	x	X
bibechana-11783	60	7	s	s	X
bibechana-11783	60	8	x	x	X
bibechana-11783	60	9	z	z	NOUN
bibechana-11783	60	10	y	y	PROPN
bibechana-11783	60	11	g	g	PROPN
bibechana-11783	60	12	y	y	PROPN
bibechana-11783	60	13	z	z	PROPN
bibechana-11783	60	14	qx	qx	PROPN
bibechana-11783	60	15	n	n	CCONJ
bibechana-11783	60	16	g	g	NOUN
bibechana-11783	60	17	x	x	PROPN
bibechana-11783	60	18	z	z	PROPN
bibechana-11783	60	19	qy	qy	PROPN
bibechana-11783	60	20	s	s	NOUN
bibechana-11783	60	21	x	x	X
bibechana-11783	60	22	z	z	PROPN
bibechana-11783	60	23	y	y	PROPN
bibechana-11783	60	24	s	s	NOUN
bibechana-11783	60	25	y	y	PROPN
bibechana-11783	60	26	z	z	NOUN
bibechana-11783	60	27	x	x	SYM
bibechana-11783	61	1	x	x	SYM
bibechana-11783	61	2	z	z	PROPN
bibechana-11783	61	3	qy	qy	PROPN
bibechana-11783	61	4	y	y	PROPN
bibechana-11783	61	5	z	z	PROPN
bibechana-11783	61	6	qx	qx	PROPN
bibechana-11783	61	7	s	s	PART
bibechana-11783	61	8	x	x	X
bibechana-11783	61	9	z	z	NOUN
bibechana-11783	61	10	y	y	PROPN
bibechana-11783	61	11	s	s	NOUN
bibechana-11783	61	12	y	y	PROPN
bibechana-11783	61	13	z	z	NOUN
bibechana-11783	61	14	x	x	SYM
bibechana-11783	62	1	g	g	NOUN
bibechana-11783	62	2	x	x	X
bibechana-11783	62	3	z	z	NOUN
bibechana-11783	62	4	q	q	X
bibechana-11783	62	5	y	y	PROPN
bibechana-11783	62	6	g	g	PROPN
bibechana-11783	62	7	y	y	PROPN
bibechana-11783	62	8	z	z	PROPN
bibechana-11783	62	9	q	q	NOUN
bibechana-11783	63	1	x	x	X
bibechana-11783	63	2	g	g	NOUN
bibechana-11783	63	3	x	x	X
bibechana-11783	63	4	y	y	PROPN
bibechana-11783	63	5	q	q	PROPN
bibechana-11783	63	6	z	z	PROPN
bibechana-11783	63	7	s	s	PART
bibechana-11783	63	8	x	x	SYM
bibechana-11783	63	9	η	η	PROPN
bibechana-11783	63	10	ξ	ξ	PROPN
bibechana-11783	63	11	η	η	PROPN
bibechana-11783	63	12	ξ	ξ	PROPN
bibechana-11783	63	13	η	η	PROPN
bibechana-11783	63	14	η	η	PROPN
bibechana-11783	63	15	η	η	PROPN
bibechana-11783	63	16	η	η	PROPN
bibechana-11783	63	17	ϕ	ϕ	PROPN
bibechana-11783	63	18	ϕ	ϕ	PROPN
bibechana-11783	63	19	ϕ	ϕ	X
bibechana-11783	63	20	ϕ	ϕ	X
bibechana-11783	63	21	ϕ	ϕ	X
bibechana-11783	63	22	ϕ	ϕ	X
bibechana-11783	63	23	ϕ	ϕ	X
bibechana-11783	63	24	ϕ	ϕ	X
bibechana-11783	63	25	ϕ	ϕ	X
bibechana-11783	63	26	ϕ	ϕ	X
bibechana-11783	63	27	ϕ	ϕ	X
bibechana-11783	63	28	=	=	X
bibechana-11783	64	1	+	+	NUM
bibechana-11783	64	2	−	−	PROPN
bibechana-11783	65	1	+	+	CCONJ
bibechana-11783	65	2	−	−	PROPN
bibechana-11783	66	1	+	+	CCONJ
bibechana-11783	66	2	−	−	PROPN
bibechana-11783	67	1	+	+	CCONJ
bibechana-11783	67	2	−	−	PROPN
bibechana-11783	68	1	+	+	CCONJ
bibechana-11783	68	2	−	−	PROPN
bibechana-11783	69	1	+	+	CCONJ
bibechana-11783	69	2	−	−	PROPN
bibechana-11783	70	1	+	+	CCONJ
bibechana-11783	70	2	+	+	CCONJ
bibechana-11783	70	3	(	(	PUNCT
bibechana-11783	70	4	)	)	PUNCT
bibechana-11783	70	5	(	(	PUNCT
bibechana-11783	70	6	)	)	PUNCT
bibechana-11783	70	7	(	(	PUNCT
bibechana-11783	70	8	)	)	PUNCT
bibechana-11783	70	9	(	(	PUNCT
bibechana-11783	70	10	)	)	PUNCT
bibechana-11783	70	11	(	(	PUNCT
bibechana-11783	70	12	)	)	PUNCT
bibechana-11783	70	13	(	(	PUNCT
bibechana-11783	70	14	)	)	PUNCT
bibechana-11783	70	15	(	(	PUNCT
bibechana-11783	70	16	)	)	PUNCT
bibechana-11783	70	17	(	(	PUNCT
bibechana-11783	70	18	)	)	PUNCT
bibechana-11783	70	19	(	(	PUNCT
bibechana-11783	70	20	)	)	PUNCT
bibechana-11783	70	21	(	(	PUNCT
bibechana-11783	70	22	)	)	PUNCT
bibechana-11783	70	23	}	}	PUNCT
bibechana-11783	70	24	21	21	NUM
bibechana-11783	70	25	2	2	NUM
bibechana-11783	70	26	{	{	PUNCT
bibechana-11783	70	27	2	2	NUM
bibechana-11783	70	28	2	2	NUM
bibechana-11783	70	29	}	}	PUNCT
bibechana-11783	70	30	{	{	PUNCT
bibechana-11783	70	31	,	,	PUNCT
bibechana-11783	70	32	2	2	NUM
bibechana-11783	70	33	1	1	NUM
bibechana-11783	70	34	2	2	NUM
bibechana-11783	70	35	,	,	PUNCT
bibechana-11783	70	36	2	2	NUM
bibechana-11783	70	37	,	,	PUNCT
bibechana-11783	70	38	}	}	PUNCT
bibechana-11783	70	39	3	3	NUM
bibechana-11783	70	40	21	21	NUM
bibechana-11783	70	41	{	{	PUNCT
bibechana-11783	70	42	2	2	NUM
bibechana-11783	70	43	}	}	PUNCT
bibechana-11783	70	44	{	{	PUNCT
bibechana-11783	70	45	,	,	PUNCT
bibechana-11783	70	46	,	,	PUNCT
bibechana-11783	70	47	}	}	PUNCT
bibechana-11783	70	48	2	2	NUM
bibechana-11783	70	49	1	1	NUM
bibechana-11783	70	50	2	2	NUM
bibechana-11783	70	51	y	y	PROPN
bibechana-11783	70	52	z	z	NOUN
bibechana-11783	70	53	n	n	NOUN
bibechana-11783	70	54	r	r	NOUN
bibechana-11783	70	55	n	n	NOUN
bibechana-11783	70	56	n	n	ADP
bibechana-11783	70	57	g	g	NOUN
bibechana-11783	70	58	y	y	PROPN
bibechana-11783	70	59	z	z	PROPN
bibechana-11783	70	60	x	x	SYM
bibechana-11783	70	61	n	n	VERB
bibechana-11783	70	62	n	n	CCONJ
bibechana-11783	70	63	n	n	ADV
bibechana-11783	70	64	g	g	NOUN
bibechana-11783	70	65	x	x	X
bibechana-11783	71	1	z	z	NOUN
bibechana-11783	71	2	y	y	NOUN
bibechana-11783	71	3	g	g	NOUN
bibechana-11783	71	4	x	x	SYM
bibechana-11783	71	5	y	y	PROPN
bibechana-11783	71	6	z	z	NOUN
bibechana-11783	71	7	n	n	NOUN
bibechana-11783	71	8	r	r	NOUN
bibechana-11783	71	9	n	n	NOUN
bibechana-11783	71	10	g	g	NOUN
bibechana-11783	71	11	y	y	PROPN
bibechana-11783	71	12	z	z	NOUN
bibechana-11783	71	13	x	x	SYM
bibechana-11783	72	1	g	g	NOUN
bibechana-11783	72	2	x	x	X
bibechana-11783	72	3	z	z	VERB
bibechana-11783	72	4	y	y	PROPN
bibechana-11783	72	5	n	n	PROPN
bibechana-11783	72	6	n	n	PROPN
bibechana-11783	72	7	n	n	ADV
bibechana-11783	72	8	ϕ	ϕ	PROPN
bibechana-11783	72	9	ϕ	ϕ	X
bibechana-11783	72	10	ϕ	ϕ	X
bibechana-11783	72	11	ϕ	ϕ	X
bibechana-11783	72	12	ϕ	ϕ	X
bibechana-11783	72	13	ϕ	ϕ	X
bibechana-11783	72	14	ϕ	ϕ	X
bibechana-11783	72	15	+	+	X
bibechana-11783	72	16	+	+	CCONJ
bibechana-11783	72	17	−	−	ADP
bibechana-11783	72	18	−	−	PROPN
bibechana-11783	72	19	+	+	CCONJ
bibechana-11783	72	20	+	+	NUM
bibechana-11783	72	21	−	−	ADP
bibechana-11783	72	22	−	−	PROPN
bibechana-11783	73	1	+	+	CCONJ
bibechana-11783	73	2	+	+	PUNCT
bibechana-11783	74	1	+	+	NUM
bibechana-11783	74	2	−	−	ADP
bibechana-11783	74	3	−	−	NOUN
bibechana-11783	74	4	+	+	CCONJ
bibechana-11783	74	5	(	(	PUNCT
bibechana-11783	74	6	)	)	PUNCT
bibechana-11783	74	7	(	(	PUNCT
bibechana-11783	74	8	)	)	PUNCT
bibechana-11783	74	9	(	(	PUNCT
bibechana-11783	74	10	)	)	PUNCT
bibechana-11783	74	11	(	(	PUNCT
bibechana-11783	74	12	)	)	PUNCT
bibechana-11783	74	13	(	(	PUNCT
bibechana-11783	74	14	)	)	PUNCT
bibechana-11783	74	15	(	(	PUNCT
bibechana-11783	74	16	)	)	PUNCT
bibechana-11783	74	17	(	(	PUNCT
bibechana-11783	74	18	)	)	PUNCT
bibechana-11783	74	19	(	(	PUNCT
bibechana-11783	74	20	)	)	PUNCT
bibechana-11783	74	21	(	(	PUNCT
bibechana-11783	74	22	)	)	PUNCT
bibechana-11783	74	23	(	(	PUNCT
bibechana-11783	74	24	)	)	PUNCT
bibechana-11783	74	25	3	3	NUM
bibechana-11783	74	26	21	21	NUM
bibechana-11783	74	27	2	2	NUM
bibechana-11783	74	28	{	{	PUNCT
bibechana-11783	74	29	4	4	NUM
bibechana-11783	74	30	5	5	NUM
bibechana-11783	74	31	2	2	NUM
bibechana-11783	74	32	}	}	PUNCT
bibechana-11783	74	33	{	{	PUNCT
bibechana-11783	74	34	2	2	NUM
bibechana-11783	74	35	1	1	NUM
bibechana-11783	74	36	2	2	NUM
bibechana-11783	74	37	,	,	PUNCT
bibechana-11783	74	38	,	,	PUNCT
bibechana-11783	74	39	}	}	PUNCT
bibechana-11783	74	40	,	,	PUNCT
bibechana-11783	74	41	n	n	CCONJ
bibechana-11783	74	42	r	r	NOUN
bibechana-11783	74	43	n	n	CCONJ
bibechana-11783	74	44	n	n	NOUN
bibechana-11783	74	45	y	y	PROPN
bibechana-11783	74	46	z	z	NOUN
bibechana-11783	74	47	x	x	SYM
bibechana-11783	74	48	n	n	CCONJ
bibechana-11783	74	49	n	n	CCONJ
bibechana-11783	74	50	n	n	NOUN
bibechana-11783	74	51	x	x	SYM
bibechana-11783	74	52	z	z	NOUN
bibechana-11783	74	53	y	y	PROPN
bibechana-11783	74	54	g	g	PROPN
bibechana-11783	74	55	y	y	PROPN
bibechana-11783	74	56	z	z	NOUN
bibechana-11783	74	57	x	x	SYM
bibechana-11783	74	58	g	g	NOUN
bibechana-11783	74	59	x	x	X
bibechana-11783	74	60	z	z	PROPN
bibechana-11783	74	61	y	y	PROPN
bibechana-11783	74	62	η	η	PROPN
bibechana-11783	74	63	η	η	PROPN
bibechana-11783	74	64	η	η	PROPN
bibechana-11783	74	65	η	η	PROPN
bibechana-11783	74	66	η	η	PROPN
bibechana-11783	74	67	ξ	ξ	PROPN
bibechana-11783	74	68	η	η	X
bibechana-11783	74	69	ξ	ξ	PROPN
bibechana-11783	74	70	+	+	CCONJ
bibechana-11783	74	71	−	−	PROPN
bibechana-11783	75	1	+	+	CCONJ
bibechana-11783	76	1	+	+	CCONJ
bibechana-11783	76	2	−	−	X
bibechana-11783	77	1	+	+	CCONJ
bibechana-11783	77	2	−	−	PROPN
bibechana-11783	78	1	+	+	CCONJ
bibechana-11783	78	2	−	−	PROPN
bibechana-11783	78	3	where	where	SCONJ
bibechana-11783	78	4	,	,	PUNCT
bibechana-11783	78	5	,	,	PUNCT
bibechana-11783	78	6	r	r	PROPN
bibechana-11783	78	7	s	s	PROPN
bibechana-11783	78	8	q	q	X
bibechana-11783	78	9	and	and	CCONJ
bibechana-11783	78	10	r	r	NOUN
bibechana-11783	78	11	denote	denote	VERB
bibechana-11783	78	12	the	the	DET
bibechana-11783	78	13	curvature	curvature	NOUN
bibechana-11783	78	14	tensor	tensor	NOUN
bibechana-11783	78	15	,	,	PUNCT
bibechana-11783	78	16	the	the	DET
bibechana-11783	78	17	ricci	ricci	PROPN
bibechana-11783	78	18	tensor	tensor	NOUN
bibechana-11783	78	19	,	,	PUNCT
bibechana-11783	78	20	the	the	DET
bibechana-11783	78	21	ricci	ricci	NOUN
bibechana-11783	78	22	operator	operator	NOUN
bibechana-11783	78	23	and	and	CCONJ
bibechana-11783	78	24	the	the	DET
bibechana-11783	78	25	scalar	scalar	ADJ
bibechana-11783	78	26	curvature	curvature	NOUN
bibechana-11783	78	27	respectively	respectively	ADV
bibechana-11783	78	28	.	.	PUNCT
bibechana-11783	79	1	from	from	ADP
bibechana-11783	79	2	(	(	PUNCT
bibechana-11783	79	3	2.20	2.20	NUM
bibechana-11783	79	4	)	)	PUNCT
bibechana-11783	79	5	,	,	PUNCT
bibechana-11783	79	6	we	we	PRON
bibechana-11783	79	7	also	also	ADV
bibechana-11783	79	8	have	have	VERB
bibechana-11783	79	9	shah	shah	NOUN
bibechana-11783	79	10	/	/	SYM
bibechana-11783	79	11	bibechana	bibechana	PROPN
bibechana-11783	79	12	12	12	NUM
bibechana-11783	79	13	(	(	PUNCT
bibechana-11783	79	14	2015	2015	NUM
bibechana-11783	79	15	)	)	PUNCT
bibechana-11783	79	16	80	80	NUM
bibechana-11783	79	17	-	-	SYM
bibechana-11783	79	18	88	88	NUM
bibechana-11783	79	19	:	:	PUNCT
bibechana-11783	79	20	p.	p.	NOUN
bibechana-11783	79	21	83	83	NUM
bibechana-11783	79	22	(	(	PUNCT
bibechana-11783	79	23	2.21	2.21	NUM
bibechana-11783	79	24	)	)	PUNCT
bibechana-11783	79	25	(	(	PUNCT
bibechana-11783	79	26	)	)	PUNCT
bibechana-11783	79	27	(	(	PUNCT
bibechana-11783	79	28	)	)	PUNCT
bibechana-11783	79	29	(	(	PUNCT
bibechana-11783	79	30	)	)	PUNCT
bibechana-11783	79	31	(	(	PUNCT
bibechana-11783	79	32	)	)	PUNCT
bibechana-11783	79	33	(	(	PUNCT
bibechana-11783	79	34	)	)	PUNCT
bibechana-11783	79	35	{	{	PUNCT
bibechana-11783	79	36	}	}	PUNCT
bibechana-11783	79	37	2	2	NUM
bibechana-11783	79	38	2	2	NUM
bibechana-11783	79	39	0	0	NUM
bibechana-11783	79	40	,	,	PUNCT
bibechana-11783	79	41	,	,	PUNCT
bibechana-11783	79	42	2	2	NUM
bibechana-11783	79	43	,	,	PUNCT
bibechana-11783	79	44	c	c	NOUN
bibechana-11783	79	45	x	x	SYM
bibechana-11783	80	1	y	y	NOUN
bibechana-11783	80	2	r	r	NOUN
bibechana-11783	80	3	x	x	VERB
bibechana-11783	80	4	y	y	NOUN
bibechana-11783	80	5	y	y	PROPN
bibechana-11783	80	6	x	x	PUNCT
bibechana-11783	80	7	x	x	PUNCT
bibechana-11783	80	8	yξ	yξ	ADP
bibechana-11783	80	9	ξ	ξ	X
bibechana-11783	80	10	α	α	PROPN
bibechana-11783	80	11	β	β	X
bibechana-11783	80	12	η	η	X
bibechana-11783	80	13	η=	η=	NOUN
bibechana-11783	81	1	+	+	CCONJ
bibechana-11783	82	1	−	−	PROPN
bibechana-11783	82	2	−	−	NOUN
bibechana-11783	83	1	−	−	PROPN
bibechana-11783	83	2	(	(	PUNCT
bibechana-11783	83	3	2.22	2.22	NUM
bibechana-11783	83	4	)	)	PUNCT
bibechana-11783	83	5	(	(	PUNCT
bibechana-11783	83	6	)	)	PUNCT
bibechana-11783	83	7	(	(	PUNCT
bibechana-11783	83	8	)	)	PUNCT
bibechana-11783	83	9	(	(	PUNCT
bibechana-11783	83	10	)	)	PUNCT
bibechana-11783	83	11	(	(	PUNCT
bibechana-11783	83	12	)	)	PUNCT
bibechana-11783	83	13	(	(	PUNCT
bibechana-11783	83	14	)	)	PUNCT
bibechana-11783	83	15	{	{	PUNCT
bibechana-11783	83	16	}	}	PUNCT
bibechana-11783	83	17	2	2	NUM
bibechana-11783	83	18	2	2	NUM
bibechana-11783	83	19	0	0	NUM
bibechana-11783	83	20	,	,	PUNCT
bibechana-11783	83	21	,	,	PUNCT
bibechana-11783	83	22	2	2	NUM
bibechana-11783	83	23	,	,	PUNCT
bibechana-11783	83	24	,	,	PUNCT
bibechana-11783	83	25	c	c	NOUN
bibechana-11783	83	26	x	x	SYM
bibechana-11783	83	27	y	y	NOUN
bibechana-11783	83	28	r	r	NOUN
bibechana-11783	83	29	x	x	PUNCT
bibechana-11783	83	30	y	y	NOUN
bibechana-11783	83	31	g	g	NOUN
bibechana-11783	83	32	x	x	VERB
bibechana-11783	83	33	y	y	VERB
bibechana-11783	83	34	y	y	PROPN
bibechana-11783	83	35	xξ	xξ	PROPN
bibechana-11783	83	36	ξ	ξ	X
bibechana-11783	83	37	α	α	PROPN
bibechana-11783	83	38	β	β	X
bibechana-11783	83	39	ξ	ξ	X
bibechana-11783	83	40	η=	η=	NOUN
bibechana-11783	83	41	+	+	CCONJ
bibechana-11783	83	42	−	−	PROPN
bibechana-11783	84	1	−	−	NOUN
bibechana-11783	84	2	−	−	PROPN
bibechana-11783	84	3	(	(	PUNCT
bibechana-11783	84	4	2.23	2.23	NUM
bibechana-11783	84	5	)	)	PUNCT
bibechana-11783	84	6	(	(	PUNCT
bibechana-11783	84	7	)	)	PUNCT
bibechana-11783	84	8	(	(	PUNCT
bibechana-11783	84	9	)	)	PUNCT
bibechana-11783	84	10	(	(	PUNCT
bibechana-11783	84	11	)	)	PUNCT
bibechana-11783	84	12	(	(	PUNCT
bibechana-11783	84	13	)	)	PUNCT
bibechana-11783	84	14	(	(	PUNCT
bibechana-11783	84	15	)	)	PUNCT
bibechana-11783	84	16	(	(	PUNCT
bibechana-11783	84	17	)	)	PUNCT
bibechana-11783	84	18	(	(	PUNCT
bibechana-11783	84	19	)	)	PUNCT
bibechana-11783	84	20	(	(	PUNCT
bibechana-11783	84	21	)	)	PUNCT
bibechana-11783	84	22	(	(	PUNCT
bibechana-11783	84	23	)	)	PUNCT
bibechana-11783	84	24	{	{	PUNCT
bibechana-11783	84	25	}	}	PUNCT
bibechana-11783	84	26	0	0	NUM
bibechana-11783	84	27	2	2	NUM
bibechana-11783	84	28	2	2	NUM
bibechana-11783	84	29	,	,	PUNCT
bibechana-11783	84	30	,	,	PUNCT
bibechana-11783	84	31	2	2	NUM
bibechana-11783	84	32	,	,	PUNCT
bibechana-11783	84	33	,	,	PUNCT
bibechana-11783	84	34	,	,	PUNCT
bibechana-11783	84	35	c	c	NOUN
bibechana-11783	84	36	x	x	VERB
bibechana-11783	85	1	y	y	PROPN
bibechana-11783	85	2	z	z	NOUN
bibechana-11783	85	3	r	r	NOUN
bibechana-11783	85	4	x	x	PUNCT
bibechana-11783	85	5	y	y	NOUN
bibechana-11783	85	6	z	z	PROPN
bibechana-11783	85	7	g	g	PROPN
bibechana-11783	85	8	y	y	PROPN
bibechana-11783	85	9	z	z	NOUN
bibechana-11783	85	10	x	x	SYM
bibechana-11783	85	11	g	g	NOUN
bibechana-11783	85	12	x	x	X
bibechana-11783	85	13	z	z	PROPN
bibechana-11783	85	14	y	y	PROPN
bibechana-11783	85	15	η	η	PROPN
bibechana-11783	85	16	η	η	PROPN
bibechana-11783	85	17	α	α	PROPN
bibechana-11783	85	18	β	β	PROPN
bibechana-11783	85	19	η	η	PROPN
bibechana-11783	85	20	η	η	PROPN
bibechana-11783	85	21	=	=	PROPN
bibechana-11783	86	1	+	+	NUM
bibechana-11783	86	2	−	−	PROPN
bibechana-11783	87	1	−	−	NOUN
bibechana-11783	87	2	−	−	PROPN
bibechana-11783	88	1	(	(	PUNCT
bibechana-11783	88	2	2.24	2.24	NUM
bibechana-11783	88	3	)	)	PUNCT
bibechana-11783	88	4	(	(	PUNCT
bibechana-11783	88	5	)	)	PUNCT
bibechana-11783	88	6	(	(	PUNCT
bibechana-11783	88	7	)	)	PUNCT
bibechana-11783	88	8	0	0	NUM
bibechana-11783	88	9	,	,	PUNCT
bibechana-11783	88	10	0,c	0,c	NUM
bibechana-11783	89	1	x	x	X
bibechana-11783	89	2	yη	yη	NOUN
bibechana-11783	89	3	ξ	ξ	X
bibechana-11783	89	4	=	=	PUNCT
bibechana-11783	89	5	(	(	PUNCT
bibechana-11783	89	6	2.25	2.25	NUM
bibechana-11783	89	7	)	)	PUNCT
bibechana-11783	89	8	(	(	PUNCT
bibechana-11783	89	9	)	)	PUNCT
bibechana-11783	89	10	(	(	PUNCT
bibechana-11783	89	11	)	)	PUNCT
bibechana-11783	89	12	(	(	PUNCT
bibechana-11783	89	13	)	)	PUNCT
bibechana-11783	89	14	(	(	PUNCT
bibechana-11783	89	15	)	)	PUNCT
bibechana-11783	89	16	(	(	PUNCT
bibechana-11783	89	17	)	)	PUNCT
bibechana-11783	89	18	(	(	PUNCT
bibechana-11783	89	19	)	)	PUNCT
bibechana-11783	89	20	{	{	PUNCT
bibechana-11783	89	21	}	}	PUNCT
bibechana-11783	89	22	2	2	NUM
bibechana-11783	89	23	2	2	NUM
bibechana-11783	89	24	0	0	NUM
bibechana-11783	89	25	,	,	PUNCT
bibechana-11783	89	26	2	2	NUM
bibechana-11783	89	27	1	1	NUM
bibechana-11783	89	28	,	,	PUNCT
bibechana-11783	89	29	.c	.c	NOUN
bibechana-11783	89	30	x	x	PUNCT
bibechana-11783	90	1	y	y	NOUN
bibechana-11783	90	2	g	g	NOUN
bibechana-11783	90	3	x	x	PUNCT
bibechana-11783	90	4	y	y	NOUN
bibechana-11783	90	5	x	x	X
bibechana-11783	90	6	yη	yη	NOUN
bibechana-11783	90	7	ξ	ξ	X
bibechana-11783	90	8	α	α	PROPN
bibechana-11783	90	9	β	β	X
bibechana-11783	90	10	η	η	PROPN
bibechana-11783	90	11	η=	η=	NOUN
bibechana-11783	91	1	−	−	ADP
bibechana-11783	91	2	−	−	PROPN
bibechana-11783	92	1	−	−	PROPN
bibechana-11783	92	2	definition	definition	NOUN
bibechana-11783	92	3	.	.	PUNCT
bibechana-11783	93	1	a	a	DET
bibechana-11783	93	2	(	(	PUNCT
bibechana-11783	93	3	)	)	SYM
bibechana-11783	93	4	2	2	NUM
bibechana-11783	93	5	1n+	1n+	NUM
bibechana-11783	93	6	-dimensional	-dimensional	ADJ
bibechana-11783	93	7	trans	trans	PROPN
bibechana-11783	93	8	-	-	ADJ
bibechana-11783	93	9	sasakian	sasakian	ADJ
bibechana-11783	93	10	manifold	manifold	NOUN
bibechana-11783	93	11	m	m	VERB
bibechana-11783	93	12	is	be	AUX
bibechana-11783	93	13	said	say	VERB
bibechana-11783	93	14	to	to	PART
bibechana-11783	93	15	be	be	AUX
bibechana-11783	93	16	an	an	DET
bibechana-11783	93	17	η	η	PROPN
bibechana-11783	93	18	-einstein	-einstein	PROPN
bibechana-11783	93	19	manifold	manifold	ADJ
bibechana-11783	93	20	if	if	SCONJ
bibechana-11783	93	21	its	its	PRON
bibechana-11783	93	22	ricci	ricci	PROPN
bibechana-11783	93	23	tensor	tensor	NOUN
bibechana-11783	93	24	s	s	PROPN
bibechana-11783	93	25	of	of	ADP
bibechana-11783	93	26	type	type	NOUN
bibechana-11783	93	27	(	(	PUNCT
bibechana-11783	93	28	0	0	NUM
bibechana-11783	93	29	,	,	PUNCT
bibechana-11783	93	30	2	2	NUM
bibechana-11783	93	31	)	)	PUNCT
bibechana-11783	93	32	is	be	AUX
bibechana-11783	93	33	of	of	ADP
bibechana-11783	93	34	the	the	DET
bibechana-11783	93	35	form	form	NOUN
bibechana-11783	93	36	(	(	PUNCT
bibechana-11783	93	37	2.26	2.26	NUM
bibechana-11783	93	38	)	)	PUNCT
bibechana-11783	93	39	(	(	PUNCT
bibechana-11783	93	40	)	)	PUNCT
bibechana-11783	93	41	(	(	PUNCT
bibechana-11783	93	42	)	)	PUNCT
bibechana-11783	93	43	(	(	PUNCT
bibechana-11783	93	44	)	)	PUNCT
bibechana-11783	93	45	(	(	PUNCT
bibechana-11783	93	46	)	)	PUNCT
bibechana-11783	93	47	,	,	PUNCT
bibechana-11783	93	48	,	,	PUNCT
bibechana-11783	93	49	,	,	PUNCT
bibechana-11783	93	50	s	s	NOUN
bibechana-11783	93	51	x	x	VERB
bibechana-11783	93	52	y	y	PROPN
bibechana-11783	93	53	ag	ag	PROPN
bibechana-11783	93	54	x	x	PROPN
bibechana-11783	93	55	y	y	PROPN
bibechana-11783	93	56	b	b	PROPN
bibechana-11783	93	57	x	x	X
bibechana-11783	93	58	yη	yη	NOUN
bibechana-11783	93	59	η=	η=	NOUN
bibechana-11783	93	60	+	+	CCONJ
bibechana-11783	93	61	where	where	SCONJ
bibechana-11783	93	62	,	,	PUNCT
bibechana-11783	93	63	a	a	DET
bibechana-11783	93	64	b	b	NOUN
bibechana-11783	93	65	are	be	AUX
bibechana-11783	93	66	smooth	smooth	ADJ
bibechana-11783	93	67	functions	function	NOUN
bibechana-11783	93	68	on	on	ADP
bibechana-11783	93	69	.m	.m	NOUN
bibechana-11783	93	70	if	if	SCONJ
bibechana-11783	93	71	0,b	0,b	PROPN
bibechana-11783	93	72	=	=	PRON
bibechana-11783	93	73	then	then	ADV
bibechana-11783	93	74	the	the	DET
bibechana-11783	93	75	manifold	manifold	ADJ
bibechana-11783	93	76	m	m	NOUN
bibechana-11783	93	77	becomes	become	VERB
bibechana-11783	93	78	an	an	DET
bibechana-11783	93	79	einstein	einstein	NOUN
bibechana-11783	93	80	manifold	manifold	NOUN
bibechana-11783	93	81	.	.	PUNCT
bibechana-11783	94	1	3	3	X
bibechana-11783	94	2	.	.	X
bibechana-11783	94	3	contact	contact	NOUN
bibechana-11783	94	4	conformally	conformally	ADV
bibechana-11783	94	5	flat	flat	ADJ
bibechana-11783	94	6	trans	trans	ADJ
bibechana-11783	94	7	-	-	ADJ
bibechana-11783	94	8	sasakian	sasakian	ADJ
bibechana-11783	94	9	manifold	manifold	ADJ
bibechana-11783	94	10	definition	definition	NOUN
bibechana-11783	94	11	.	.	PUNCT
bibechana-11783	95	1	a	a	DET
bibechana-11783	95	2	(	(	PUNCT
bibechana-11783	95	3	)	)	SYM
bibechana-11783	95	4	2	2	NUM
bibechana-11783	95	5	1n+	1n+	NUM
bibechana-11783	95	6	-dimensional	-dimensional	ADJ
bibechana-11783	95	7	trans	trans	PROPN
bibechana-11783	95	8	-	-	ADJ
bibechana-11783	95	9	sasakian	sasakian	ADJ
bibechana-11783	95	10	manifold	manifold	NOUN
bibechana-11783	95	11	is	be	AUX
bibechana-11783	95	12	said	say	VERB
bibechana-11783	95	13	to	to	PART
bibechana-11783	95	14	be	be	AUX
bibechana-11783	95	15	contact	contact	NOUN
bibechana-11783	95	16	conformally	conformally	ADV
bibechana-11783	95	17	flat	flat	ADJ
bibechana-11783	95	18	if	if	SCONJ
bibechana-11783	95	19	it	it	PRON
bibechana-11783	95	20	satisfies	satisfy	VERB
bibechana-11783	95	21	the	the	DET
bibechana-11783	95	22	condition	condition	NOUN
bibechana-11783	95	23	(	(	PUNCT
bibechana-11783	95	24	3.1	3.1	NUM
bibechana-11783	95	25	)	)	PUNCT
bibechana-11783	95	26	(	(	PUNCT
bibechana-11783	95	27	)	)	PUNCT
bibechana-11783	95	28	0	0	NUM
bibechana-11783	95	29	,	,	PUNCT
bibechana-11783	95	30	0.c	0.c	NOUN
bibechana-11783	95	31	x	x	SYM
bibechana-11783	96	1	y	y	PROPN
bibechana-11783	96	2	z	z	PROPN
bibechana-11783	96	3	=	=	PUNCT
bibechana-11783	96	4	now	now	ADV
bibechana-11783	96	5	,	,	PUNCT
bibechana-11783	96	6	we	we	PRON
bibechana-11783	96	7	prove	prove	VERB
bibechana-11783	96	8	the	the	DET
bibechana-11783	96	9	following	follow	VERB
bibechana-11783	96	10	result	result	NOUN
bibechana-11783	96	11	:	:	PUNCT
bibechana-11783	96	12	theorem	theorem	VERB
bibechana-11783	96	13	3.1	3.1	NUM
bibechana-11783	96	14	.	.	PUNCT
bibechana-11783	97	1	if	if	SCONJ
bibechana-11783	97	2	a	a	DET
bibechana-11783	97	3	(	(	PUNCT
bibechana-11783	97	4	)	)	SYM
bibechana-11783	97	5	2	2	NUM
bibechana-11783	97	6	1n+	1n+	NUM
bibechana-11783	97	7	-dimensional	-dimensional	ADJ
bibechana-11783	97	8	trans	trans	PROPN
bibechana-11783	97	9	-	-	ADJ
bibechana-11783	97	10	sasakian	sasakian	ADJ
bibechana-11783	97	11	manifold	manifold	ADJ
bibechana-11783	97	12	m	m	NOUN
bibechana-11783	97	13	is	be	AUX
bibechana-11783	97	14	contact	contact	NOUN
bibechana-11783	97	15	conformally	conformally	ADV
bibechana-11783	97	16	flat	flat	ADJ
bibechana-11783	97	17	,	,	PUNCT
bibechana-11783	97	18	then	then	ADV
bibechana-11783	97	19	2	2	NUM
bibechana-11783	97	20	2	2	NUM
bibechana-11783	97	21	1.α	1.α	NUM
bibechana-11783	97	22	β=	β=	NOUN
bibechana-11783	97	23	+	+	CCONJ
bibechana-11783	97	24	proof	proof	NOUN
bibechana-11783	97	25	.	.	PUNCT
bibechana-11783	98	1	let	let	VERB
bibechana-11783	98	2	m	m	PRON
bibechana-11783	98	3	be	be	AUX
bibechana-11783	98	4	a	a	DET
bibechana-11783	98	5	(	(	PUNCT
bibechana-11783	98	6	)	)	SYM
bibechana-11783	98	7	2	2	NUM
bibechana-11783	98	8	1n+	1n+	NUM
bibechana-11783	98	9	-dimensional	-dimensional	ADJ
bibechana-11783	98	10	trans	trans	ADJ
bibechana-11783	98	11	-	-	ADJ
bibechana-11783	98	12	sasakian	sasakian	ADJ
bibechana-11783	98	13	manifold	manifold	NOUN
bibechana-11783	98	14	.	.	PUNCT
bibechana-11783	99	1	suppose	suppose	VERB
bibechana-11783	99	2	m	m	NOUN
bibechana-11783	99	3	is	be	AUX
bibechana-11783	99	4	contact	contact	NOUN
bibechana-11783	99	5	conformally	conformally	ADV
bibechana-11783	99	6	flat	flat	ADJ
bibechana-11783	99	7	then	then	ADV
bibechana-11783	99	8	the	the	DET
bibechana-11783	99	9	condition	condition	NOUN
bibechana-11783	99	10	(	(	PUNCT
bibechana-11783	99	11	)	)	PUNCT
bibechana-11783	99	12	0	0	NUM
bibechana-11783	99	13	,	,	PUNCT
bibechana-11783	99	14	0c	0c	NOUN
bibechana-11783	99	15	x	x	VERB
bibechana-11783	99	16	y	y	PROPN
bibechana-11783	99	17	z	z	PROPN
bibechana-11783	99	18	=	=	PUNCT
bibechana-11783	99	19	holds	hold	VERB
bibechana-11783	99	20	.	.	PUNCT
bibechana-11783	100	1	now	now	ADV
bibechana-11783	100	2	,	,	PUNCT
bibechana-11783	100	3	using	use	VERB
bibechana-11783	100	4	(	(	PUNCT
bibechana-11783	100	5	3.1	3.1	NUM
bibechana-11783	100	6	)	)	PUNCT
bibechana-11783	100	7	in	in	ADP
bibechana-11783	100	8	(	(	PUNCT
bibechana-11783	100	9	2.20	2.20	NUM
bibechana-11783	100	10	)	)	PUNCT
bibechana-11783	100	11	and	and	CCONJ
bibechana-11783	100	12	taking	take	VERB
bibechana-11783	100	13	inner	inner	ADJ
bibechana-11783	100	14	product	product	NOUN
bibechana-11783	100	15	on	on	ADP
bibechana-11783	100	16	both	both	DET
bibechana-11783	100	17	sides	side	NOUN
bibechana-11783	100	18	by	by	ADP
bibechana-11783	100	19	,	,	PUNCT
bibechana-11783	100	20	ξ	ξ	PROPN
bibechana-11783	100	21	we	we	PRON
bibechana-11783	100	22	get	get	VERB
bibechana-11783	100	23	(	(	PUNCT
bibechana-11783	100	24	3.2	3.2	NUM
bibechana-11783	100	25	)	)	PUNCT
bibechana-11783	100	26	(	(	PUNCT
bibechana-11783	100	27	)	)	PUNCT
bibechana-11783	100	28	(	(	PUNCT
bibechana-11783	100	29	)	)	PUNCT
bibechana-11783	100	30	(	(	PUNCT
bibechana-11783	100	31	)	)	PUNCT
bibechana-11783	100	32	(	(	PUNCT
bibechana-11783	100	33	)	)	PUNCT
bibechana-11783	100	34	(	(	PUNCT
bibechana-11783	100	35	)	)	PUNCT
bibechana-11783	100	36	(	(	PUNCT
bibechana-11783	100	37	)	)	PUNCT
bibechana-11783	100	38	(	(	PUNCT
bibechana-11783	100	39	)	)	PUNCT
bibechana-11783	100	40	(	(	PUNCT
bibechana-11783	100	41	)	)	PUNCT
bibechana-11783	100	42	(	(	PUNCT
bibechana-11783	100	43	)	)	PUNCT
bibechana-11783	100	44	(	(	PUNCT
bibechana-11783	100	45	)	)	PUNCT
bibechana-11783	100	46	(	(	PUNCT
bibechana-11783	100	47	)	)	PUNCT
bibechana-11783	100	48	(	(	PUNCT
bibechana-11783	100	49	)	)	PUNCT
bibechana-11783	100	50	(	(	PUNCT
bibechana-11783	100	51	)	)	PUNCT
bibechana-11783	100	52	(	(	PUNCT
bibechana-11783	100	53	)	)	PUNCT
bibechana-11783	100	54	(	(	PUNCT
bibechana-11783	100	55	)	)	PUNCT
bibechana-11783	100	56	(	(	PUNCT
bibechana-11783	100	57	)	)	PUNCT
bibechana-11783	100	58	1	1	NUM
bibechana-11783	100	59	,	,	PUNCT
bibechana-11783	100	60	[	[	PUNCT
bibechana-11783	100	61	,	,	PUNCT
bibechana-11783	100	62	,	,	PUNCT
bibechana-11783	100	63	,	,	PUNCT
bibechana-11783	100	64	,	,	PUNCT
bibechana-11783	100	65	2	2	NUM
bibechana-11783	100	66	,	,	PUNCT
bibechana-11783	100	67	,	,	PUNCT
bibechana-11783	100	68	]	]	PUNCT
bibechana-11783	100	69	2	2	NUM
bibechana-11783	100	70	[	[	PUNCT
bibechana-11783	100	71	,	,	PUNCT
bibechana-11783	100	72	,	,	PUNCT
bibechana-11783	100	73	]	]	PUNCT
bibechana-11783	100	74	.	.	PUNCT
bibechana-11783	101	1	r	r	NOUN
bibechana-11783	101	2	x	x	PUNCT
bibechana-11783	101	3	y	y	NOUN
bibechana-11783	101	4	z	z	NOUN
bibechana-11783	101	5	g	g	NOUN
bibechana-11783	101	6	x	x	X
bibechana-11783	101	7	z	z	NOUN
bibechana-11783	101	8	s	s	X
bibechana-11783	101	9	y	y	PROPN
bibechana-11783	101	10	g	g	PROPN
bibechana-11783	101	11	y	y	PROPN
bibechana-11783	101	12	z	z	PROPN
bibechana-11783	101	13	s	s	NOUN
bibechana-11783	101	14	x	x	SYM
bibechana-11783	101	15	n	n	PROPN
bibechana-11783	101	16	x	x	SYM
bibechana-11783	101	17	z	z	NOUN
bibechana-11783	101	18	s	s	PROPN
bibechana-11783	101	19	y	y	VERB
bibechana-11783	101	20	y	y	PROPN
bibechana-11783	101	21	z	z	PROPN
bibechana-11783	101	22	s	s	NOUN
bibechana-11783	101	23	x	x	SYM
bibechana-11783	101	24	g	g	PROPN
bibechana-11783	101	25	y	y	PROPN
bibechana-11783	101	26	z	z	NOUN
bibechana-11783	101	27	x	x	SYM
bibechana-11783	102	1	g	g	NOUN
bibechana-11783	102	2	x	x	X
bibechana-11783	102	3	z	z	VERB
bibechana-11783	102	4	y	y	PROPN
bibechana-11783	102	5	η	η	PROPN
bibechana-11783	102	6	ξ	ξ	PROPN
bibechana-11783	102	7	ξ	ξ	PROPN
bibechana-11783	102	8	η	η	PROPN
bibechana-11783	102	9	η	η	PROPN
bibechana-11783	102	10	ξ	ξ	PROPN
bibechana-11783	102	11	η	η	PROPN
bibechana-11783	102	12	η	η	PROPN
bibechana-11783	102	13	ξ	ξ	PROPN
bibechana-11783	102	14	η	η	PROPN
bibechana-11783	102	15	η	η	PROPN
bibechana-11783	102	16	=	=	PROPN
bibechana-11783	102	17	−	−	PROPN
bibechana-11783	102	18	−	−	PROPN
bibechana-11783	103	1	+	+	CCONJ
bibechana-11783	104	1	+	+	CCONJ
bibechana-11783	104	2	−	−	NOUN
bibechana-11783	104	3	in	in	ADP
bibechana-11783	104	4	view	view	NOUN
bibechana-11783	104	5	of	of	ADP
bibechana-11783	104	6	(	(	PUNCT
bibechana-11783	104	7	2.12	2.12	NUM
bibechana-11783	104	8	)	)	PUNCT
bibechana-11783	104	9	,	,	PUNCT
bibechana-11783	104	10	(	(	PUNCT
bibechana-11783	104	11	2.16	2.16	NUM
bibechana-11783	104	12	)	)	PUNCT
bibechana-11783	104	13	and	and	CCONJ
bibechana-11783	104	14	(	(	PUNCT
bibechana-11783	104	15	3.2	3.2	NUM
bibechana-11783	104	16	)	)	PUNCT
bibechana-11783	104	17	,	,	PUNCT
bibechana-11783	104	18	we	we	PRON
bibechana-11783	104	19	get	get	VERB
bibechana-11783	104	20	(	(	PUNCT
bibechana-11783	104	21	3.3	3.3	NUM
bibechana-11783	104	22	)	)	PUNCT
bibechana-11783	104	23	(	(	PUNCT
bibechana-11783	104	24	)	)	PUNCT
bibechana-11783	104	25	(	(	PUNCT
bibechana-11783	104	26	)	)	PUNCT
bibechana-11783	104	27	(	(	PUNCT
bibechana-11783	104	28	)	)	PUNCT
bibechana-11783	104	29	(	(	PUNCT
bibechana-11783	104	30	)	)	PUNCT
bibechana-11783	104	31	(	(	PUNCT
bibechana-11783	104	32	)	)	PUNCT
bibechana-11783	104	33	(	(	PUNCT
bibechana-11783	104	34	)	)	PUNCT
bibechana-11783	104	35	(	(	PUNCT
bibechana-11783	104	36	)	)	PUNCT
bibechana-11783	104	37	(	(	PUNCT
bibechana-11783	104	38	)	)	PUNCT
bibechana-11783	104	39	(	(	PUNCT
bibechana-11783	104	40	)	)	PUNCT
bibechana-11783	104	41	(	(	PUNCT
bibechana-11783	104	42	)	)	PUNCT
bibechana-11783	104	43	(	(	PUNCT
bibechana-11783	104	44	)	)	PUNCT
bibechana-11783	104	45	(	(	PUNCT
bibechana-11783	104	46	)	)	PUNCT
bibechana-11783	104	47	(	(	PUNCT
bibechana-11783	104	48	)	)	PUNCT
bibechana-11783	104	49	(	(	PUNCT
bibechana-11783	104	50	)	)	PUNCT
bibechana-11783	104	51	(	(	PUNCT
bibechana-11783	104	52	)	)	PUNCT
bibechana-11783	104	53	2	2	NUM
bibechana-11783	104	54	20	20	NUM
bibechana-11783	104	55	2	2	NUM
bibechana-11783	104	56	1	1	NUM
bibechana-11783	104	57	[	[	PUNCT
bibechana-11783	104	58	,	,	PUNCT
bibechana-11783	104	59	,	,	PUNCT
bibechana-11783	104	60	]	]	PUNCT
bibechana-11783	104	61	2	2	NUM
bibechana-11783	104	62	[	[	PUNCT
bibechana-11783	104	63	,	,	PUNCT
bibechana-11783	104	64	,	,	PUNCT
bibechana-11783	104	65	]	]	PUNCT
bibechana-11783	104	66	,	,	PUNCT
bibechana-11783	104	67	,	,	PUNCT
bibechana-11783	104	68	,	,	PUNCT
bibechana-11783	104	69	.	.	PUNCT
bibechana-11783	105	1	g	g	PROPN
bibechana-11783	105	2	y	y	PROPN
bibechana-11783	105	3	z	z	PROPN
bibechana-11783	106	1	x	x	SYM
bibechana-11783	106	2	g	g	NOUN
bibechana-11783	106	3	x	x	X
bibechana-11783	106	4	z	z	NOUN
bibechana-11783	106	5	y	y	PROPN
bibechana-11783	106	6	g	g	PROPN
bibechana-11783	106	7	y	y	PROPN
bibechana-11783	106	8	z	z	NOUN
bibechana-11783	106	9	x	x	SYM
bibechana-11783	107	1	g	g	NOUN
bibechana-11783	107	2	x	x	X
bibechana-11783	107	3	z	z	NOUN
bibechana-11783	107	4	y	y	NOUN
bibechana-11783	107	5	x	x	SYM
bibechana-11783	108	1	g	g	PROPN
bibechana-11783	108	2	y	y	PROPN
bibechana-11783	108	3	z	z	PROPN
bibechana-11783	108	4	y	y	PROPN
bibechana-11783	108	5	g	g	NOUN
bibechana-11783	108	6	x	x	X
bibechana-11783	108	7	z	z	NOUN
bibechana-11783	108	8	x	x	SYM
bibechana-11783	108	9	g	g	PROPN
bibechana-11783	108	10	y	y	PROPN
bibechana-11783	108	11	z	z	PROPN
bibechana-11783	108	12	α	α	PROPN
bibechana-11783	108	13	β	β	PROPN
bibechana-11783	108	14	η	η	PROPN
bibechana-11783	108	15	η	η	PROPN
bibechana-11783	108	16	αβ	αβ	PROPN
bibechana-11783	108	17	ϕ	ϕ	PROPN
bibechana-11783	108	18	η	η	PROPN
bibechana-11783	108	19	ϕ	ϕ	PROPN
bibechana-11783	108	20	η	η	PROPN
bibechana-11783	108	21	α	α	X
bibechana-11783	108	22	ϕ	ϕ	PROPN
bibechana-11783	108	23	α	α	X
bibechana-11783	108	24	ϕ	ϕ	X
bibechana-11783	108	25	β	β	X
bibechana-11783	108	26	ϕ	ϕ	X
bibechana-11783	108	27	ϕ	ϕ	X
bibechana-11783	108	28	=	=	PUNCT
bibechana-11783	108	29	−	−	PROPN
bibechana-11783	108	30	−	−	PROPN
bibechana-11783	108	31	−	−	PROPN
bibechana-11783	109	1	+	+	CCONJ
bibechana-11783	109	2	−	−	PROPN
bibechana-11783	110	1	+	+	CCONJ
bibechana-11783	110	2	−	−	PROPN
bibechana-11783	110	3	−	−	NOUN
bibechana-11783	111	1	putting	put	VERB
bibechana-11783	111	2	x	x	SYM
bibechana-11783	111	3	ξ=	ξ=	ADV
bibechana-11783	111	4	in	in	ADP
bibechana-11783	111	5	(	(	PUNCT
bibechana-11783	111	6	3.3	3.3	NUM
bibechana-11783	111	7	)	)	PUNCT
bibechana-11783	111	8	and	and	CCONJ
bibechana-11783	111	9	using	use	VERB
bibechana-11783	111	10	(	(	PUNCT
bibechana-11783	111	11	2.1	2.1	NUM
bibechana-11783	111	12	)	)	PUNCT
bibechana-11783	111	13	,	,	PUNCT
bibechana-11783	111	14	(	(	PUNCT
bibechana-11783	111	15	2.10	2.10	NUM
bibechana-11783	111	16	)	)	PUNCT
bibechana-11783	111	17	and	and	CCONJ
bibechana-11783	111	18	(	(	PUNCT
bibechana-11783	111	19	2.15	2.15	NUM
bibechana-11783	111	20	)	)	PUNCT
bibechana-11783	111	21	,	,	PUNCT
bibechana-11783	111	22	we	we	PRON
bibechana-11783	111	23	obtain	obtain	VERB
bibechana-11783	111	24	(	(	PUNCT
bibechana-11783	111	25	3.4	3.4	NUM
bibechana-11783	111	26	)	)	PUNCT
bibechana-11783	111	27	(	(	PUNCT
bibechana-11783	111	28	)	)	PUNCT
bibechana-11783	111	29	(	(	PUNCT
bibechana-11783	111	30	)	)	PUNCT
bibechana-11783	111	31	(	(	PUNCT
bibechana-11783	111	32	)	)	PUNCT
bibechana-11783	111	33	(	(	PUNCT
bibechana-11783	111	34	)	)	SYM
bibechana-11783	111	35	2	2	NUM
bibechana-11783	111	36	2	2	NUM
bibechana-11783	111	37	1	1	NUM
bibechana-11783	111	38	[	[	PUNCT
bibechana-11783	111	39	,	,	PUNCT
bibechana-11783	111	40	]	]	PUNCT
bibechana-11783	111	41	0.g	0.g	NUM
bibechana-11783	112	1	y	y	PROPN
bibechana-11783	112	2	z	z	PROPN
bibechana-11783	112	3	y	y	PROPN
bibechana-11783	112	4	zα	zα	PROPN
bibechana-11783	112	5	β	β	PROPN
bibechana-11783	112	6	η	η	PROPN
bibechana-11783	112	7	η−	η−	PROPN
bibechana-11783	113	1	−	−	NOUN
bibechana-11783	113	2	−	−	NOUN
bibechana-11783	113	3	=	=	PUNCT
bibechana-11783	113	4	since	since	SCONJ
bibechana-11783	113	5	(	(	PUNCT
bibechana-11783	113	6	)	)	PUNCT
bibechana-11783	113	7	(	(	PUNCT
bibechana-11783	113	8	)	)	PUNCT
bibechana-11783	113	9	(	(	PUNCT
bibechana-11783	113	10	)	)	PUNCT
bibechana-11783	113	11	,	,	PUNCT
bibechana-11783	113	12	0,g	0,g	PROPN
bibechana-11783	114	1	y	y	PROPN
bibechana-11783	114	2	z	z	NOUN
bibechana-11783	114	3	y	y	PROPN
bibechana-11783	114	4	zη	zη	NUM
bibechana-11783	114	5	η−	η−	PROPN
bibechana-11783	114	6	≠	≠	PROPN
bibechana-11783	114	7	we	we	PRON
bibechana-11783	114	8	have	have	VERB
bibechana-11783	114	9	(	(	PUNCT
bibechana-11783	114	10	)	)	SYM
bibechana-11783	114	11	2	2	NUM
bibechana-11783	114	12	2	2	NUM
bibechana-11783	114	13	1	1	NUM
bibechana-11783	114	14	0.α	0.α	NUM
bibechana-11783	114	15	β−	β−	PUNCT
bibechana-11783	115	1	−	−	NOUN
bibechana-11783	116	1	=	=	PRON
bibechana-11783	116	2	this	this	PRON
bibechana-11783	116	3	implies	imply	VERB
bibechana-11783	116	4	that	that	SCONJ
bibechana-11783	116	5	shah	shah	PROPN
bibechana-11783	116	6	/	/	SYM
bibechana-11783	116	7	bibechana	bibechana	PROPN
bibechana-11783	116	8	12	12	NUM
bibechana-11783	116	9	(	(	PUNCT
bibechana-11783	116	10	2015	2015	NUM
bibechana-11783	116	11	)	)	PUNCT
bibechana-11783	116	12	80	80	NUM
bibechana-11783	116	13	-	-	SYM
bibechana-11783	116	14	88	88	NUM
bibechana-11783	116	15	:	:	PUNCT
bibechana-11783	116	16	p.	p.	NOUN
bibechana-11783	116	17	84	84	NUM
bibechana-11783	116	18	(	(	PUNCT
bibechana-11783	116	19	3.5	3.5	NUM
bibechana-11783	116	20	)	)	PUNCT
bibechana-11783	116	21	2	2	NUM
bibechana-11783	116	22	2	2	NUM
bibechana-11783	116	23	1.α	1.α	NUM
bibechana-11783	116	24	β=	β=	NOUN
bibechana-11783	116	25	+	+	CCONJ
bibechana-11783	116	26	this	this	PRON
bibechana-11783	116	27	completes	complete	VERB
bibechana-11783	116	28	the	the	DET
bibechana-11783	116	29	proof	proof	NOUN
bibechana-11783	116	30	of	of	ADP
bibechana-11783	116	31	the	the	DET
bibechana-11783	116	32	theorem	theorem	NOUN
bibechana-11783	116	33	.	.	PROPN
bibechana-11783	116	34	4	4	NUM
bibechana-11783	116	35	.	.	X
bibechana-11783	116	36	ξ	ξ	NUM
bibechana-11783	116	37	-contact	-contact	NOUN
bibechana-11783	116	38	conformally	conformally	ADV
bibechana-11783	116	39	flat	flat	ADJ
bibechana-11783	116	40	trans	trans	ADJ
bibechana-11783	116	41	-	-	ADJ
bibechana-11783	116	42	sasakian	sasakian	ADJ
bibechana-11783	116	43	manifold	manifold	ADJ
bibechana-11783	116	44	definition	definition	NOUN
bibechana-11783	116	45	.	.	PUNCT
bibechana-11783	117	1	a	a	DET
bibechana-11783	117	2	trans	trans	ADJ
bibechana-11783	117	3	-	-	ADJ
bibechana-11783	117	4	sasakian	sasakian	ADJ
bibechana-11783	117	5	manifold	manifold	NOUN
bibechana-11783	117	6	of	of	ADP
bibechana-11783	117	7	dimension	dimension	NOUN
bibechana-11783	117	8	(	(	PUNCT
bibechana-11783	117	9	)	)	PUNCT
bibechana-11783	117	10	2	2	NUM
bibechana-11783	117	11	1n+	1n+	NUM
bibechana-11783	117	12	is	be	AUX
bibechana-11783	117	13	said	say	VERB
bibechana-11783	117	14	to	to	PART
bibechana-11783	117	15	be	be	AUX
bibechana-11783	117	16	ξ	ξ	X
bibechana-11783	117	17	-contact	-contact	NOUN
bibechana-11783	117	18	conformally	conformally	ADV
bibechana-11783	117	19	flat	flat	ADJ
bibechana-11783	117	20	if	if	SCONJ
bibechana-11783	117	21	the	the	DET
bibechana-11783	117	22	condition	condition	NOUN
bibechana-11783	117	23	(	(	PUNCT
bibechana-11783	117	24	4.1	4.1	NUM
bibechana-11783	117	25	)	)	PUNCT
bibechana-11783	117	26	(	(	PUNCT
bibechana-11783	117	27	)	)	PUNCT
bibechana-11783	117	28	0	0	NUM
bibechana-11783	117	29	,	,	PUNCT
bibechana-11783	117	30	0c	0c	NOUN
bibechana-11783	117	31	x	x	VERB
bibechana-11783	117	32	y	y	PROPN
bibechana-11783	117	33	ξ	ξ	X
bibechana-11783	117	34	=	=	PUNCT
bibechana-11783	117	35	holds	hold	VERB
bibechana-11783	117	36	.	.	PUNCT
bibechana-11783	118	1	theorem	theorem	NOUN
bibechana-11783	118	2	4.1	4.1	NUM
bibechana-11783	118	3	.	.	PUNCT
bibechana-11783	119	1	let	let	VERB
bibechana-11783	119	2	m	m	PRON
bibechana-11783	119	3	be	be	AUX
bibechana-11783	119	4	a	a	DET
bibechana-11783	119	5	(	(	PUNCT
bibechana-11783	119	6	)	)	SYM
bibechana-11783	119	7	2	2	NUM
bibechana-11783	119	8	1n+	1n+	NUM
bibechana-11783	119	9	-dimensional	-dimensional	ADJ
bibechana-11783	119	10	trans	trans	PROPN
bibechana-11783	119	11	-	-	ADJ
bibechana-11783	119	12	sasakian	sasakian	ADJ
bibechana-11783	119	13	manifold	manifold	NOUN
bibechana-11783	119	14	satisfying	satisfy	VERB
bibechana-11783	119	15	the	the	DET
bibechana-11783	119	16	condition	condition	NOUN
bibechana-11783	119	17	(	(	PUNCT
bibechana-11783	119	18	)	)	PUNCT
bibechana-11783	119	19	0	0	NUM
bibechana-11783	119	20	,	,	PUNCT
bibechana-11783	119	21	0,c	0,c	NUM
bibechana-11783	120	1	x	x	PUNCT
bibechana-11783	120	2	y	y	X
bibechana-11783	120	3	ξ	ξ	X
bibechana-11783	120	4	=	=	PUNCT
bibechana-11783	120	5	then	then	ADV
bibechana-11783	120	6	2	2	NUM
bibechana-11783	120	7	2	2	NUM
bibechana-11783	120	8	1.α	1.α	NUM
bibechana-11783	120	9	β=	β=	NOUN
bibechana-11783	120	10	+	+	CCONJ
bibechana-11783	120	11	proof	proof	NOUN
bibechana-11783	120	12	.	.	PUNCT
bibechana-11783	121	1	let	let	VERB
bibechana-11783	121	2	us	we	PRON
bibechana-11783	121	3	consider	consider	VERB
bibechana-11783	121	4	a	a	DET
bibechana-11783	121	5	(	(	PUNCT
bibechana-11783	121	6	)	)	SYM
bibechana-11783	121	7	2	2	NUM
bibechana-11783	121	8	1n+	1n+	NUM
bibechana-11783	121	9	-dimensional	-dimensional	ADJ
bibechana-11783	121	10	trans	trans	PROPN
bibechana-11783	121	11	-	-	ADJ
bibechana-11783	121	12	sasakian	sasakian	ADJ
bibechana-11783	121	13	manifold	manifold	NOUN
bibechana-11783	121	14	m	m	VERB
bibechana-11783	121	15	which	which	PRON
bibechana-11783	121	16	satisfies	satisfy	VERB
bibechana-11783	121	17	the	the	DET
bibechana-11783	121	18	condition	condition	NOUN
bibechana-11783	121	19	(	(	PUNCT
bibechana-11783	121	20	)	)	PUNCT
bibechana-11783	121	21	0	0	NUM
bibechana-11783	121	22	,	,	PUNCT
bibechana-11783	122	1	0.c	0.c	NOUN
bibechana-11783	122	2	x	x	SYM
bibechana-11783	122	3	y	y	PROPN
bibechana-11783	122	4	ξ	ξ	PROPN
bibechana-11783	122	5	=	=	PUNCT
bibechana-11783	122	6	then	then	ADV
bibechana-11783	122	7	by	by	ADP
bibechana-11783	122	8	virtue	virtue	NOUN
bibechana-11783	122	9	of	of	ADP
bibechana-11783	122	10	(	(	PUNCT
bibechana-11783	122	11	2.1	2.1	NUM
bibechana-11783	122	12	)	)	PUNCT
bibechana-11783	122	13	,	,	PUNCT
bibechana-11783	122	14	(	(	PUNCT
bibechana-11783	122	15	2.3	2.3	NUM
bibechana-11783	122	16	)	)	PUNCT
bibechana-11783	122	17	,	,	PUNCT
bibechana-11783	122	18	(	(	PUNCT
bibechana-11783	122	19	2.8	2.8	NUM
bibechana-11783	122	20	)	)	PUNCT
bibechana-11783	122	21	,	,	PUNCT
bibechana-11783	122	22	(	(	PUNCT
bibechana-11783	122	23	2.16	2.16	NUM
bibechana-11783	122	24	)	)	PUNCT
bibechana-11783	122	25	and	and	CCONJ
bibechana-11783	122	26	(	(	PUNCT
bibechana-11783	122	27	4.1	4.1	NUM
bibechana-11783	122	28	)	)	PUNCT
bibechana-11783	122	29	in	in	ADP
bibechana-11783	122	30	(	(	PUNCT
bibechana-11783	122	31	2.20	2.20	NUM
bibechana-11783	122	32	)	)	PUNCT
bibechana-11783	122	33	,	,	PUNCT
bibechana-11783	122	34	we	we	PRON
bibechana-11783	122	35	get	get	VERB
bibechana-11783	122	36	(	(	PUNCT
bibechana-11783	122	37	4.2	4.2	NUM
bibechana-11783	122	38	)	)	PUNCT
bibechana-11783	122	39	(	(	PUNCT
bibechana-11783	122	40	)	)	PUNCT
bibechana-11783	122	41	(	(	PUNCT
bibechana-11783	122	42	)	)	PUNCT
bibechana-11783	122	43	(	(	PUNCT
bibechana-11783	122	44	)	)	PUNCT
bibechana-11783	122	45	(	(	PUNCT
bibechana-11783	122	46	)	)	PUNCT
bibechana-11783	122	47	(	(	PUNCT
bibechana-11783	122	48	)	)	PUNCT
bibechana-11783	122	49	(	(	PUNCT
bibechana-11783	122	50	)	)	PUNCT
bibechana-11783	122	51	(	(	PUNCT
bibechana-11783	122	52	)	)	PUNCT
bibechana-11783	122	53	(	(	PUNCT
bibechana-11783	122	54	)	)	PUNCT
bibechana-11783	122	55	(	(	PUNCT
bibechana-11783	122	56	)	)	PUNCT
bibechana-11783	122	57	(	(	PUNCT
bibechana-11783	122	58	)	)	PUNCT
bibechana-11783	122	59	(	(	PUNCT
bibechana-11783	122	60	)	)	PUNCT
bibechana-11783	122	61	(	(	PUNCT
bibechana-11783	122	62	)	)	PUNCT
bibechana-11783	122	63	(	(	PUNCT
bibechana-11783	122	64	)	)	PUNCT
bibechana-11783	122	65	2	2	NUM
bibechana-11783	122	66	20	20	NUM
bibechana-11783	122	67	2	2	NUM
bibechana-11783	122	68	1	1	NUM
bibechana-11783	122	69	{	{	PUNCT
bibechana-11783	122	70	}	}	PUNCT
bibechana-11783	122	71	2	2	NUM
bibechana-11783	122	72	[	[	PUNCT
bibechana-11783	122	73	]	]	PUNCT
bibechana-11783	122	74	.	.	PUNCT
bibechana-11783	123	1	y	y	NOUN
bibechana-11783	123	2	x	x	PUNCT
bibechana-11783	124	1	x	x	PUNCT
bibechana-11783	124	2	y	y	VERB
bibechana-11783	124	3	x	x	X
bibechana-11783	124	4	y	y	NOUN
bibechana-11783	124	5	x	x	X
bibechana-11783	124	6	y	y	NOUN
bibechana-11783	124	7	x	x	X
bibechana-11783	124	8	y	y	NOUN
bibechana-11783	124	9	y	y	PROPN
bibechana-11783	124	10	x	x	PUNCT
bibechana-11783	124	11	x	x	VERB
bibechana-11783	124	12	y	y	NOUN
bibechana-11783	124	13	y	y	PROPN
bibechana-11783	124	14	x	x	SYM
bibechana-11783	124	15	y	y	NOUN
bibechana-11783	124	16	x	x	X
bibechana-11783	124	17	y	y	NOUN
bibechana-11783	124	18	x	x	SYM
bibechana-11783	124	19	α	α	PROPN
bibechana-11783	124	20	β	β	PROPN
bibechana-11783	124	21	η	η	PROPN
bibechana-11783	124	22	η	η	PROPN
bibechana-11783	124	23	α	α	PROPN
bibechana-11783	124	24	ϕ	ϕ	X
bibechana-11783	124	25	β	β	X
bibechana-11783	124	26	β	β	X
bibechana-11783	124	27	η	η	PROPN
bibechana-11783	124	28	ξ	ξ	PROPN
bibechana-11783	124	29	αβ	αβ	PROPN
bibechana-11783	124	30	η	η	PROPN
bibechana-11783	124	31	ϕ	ϕ	PROPN
bibechana-11783	124	32	η	η	PROPN
bibechana-11783	124	33	ϕ	ϕ	PROPN
bibechana-11783	124	34	α	α	PROPN
bibechana-11783	124	35	ϕ	ϕ	X
bibechana-11783	124	36	β	β	X
bibechana-11783	124	37	β	β	X
bibechana-11783	124	38	η	η	X
bibechana-11783	124	39	ξ	ξ	PROPN
bibechana-11783	124	40	=	=	PUNCT
bibechana-11783	124	41	−	−	PROPN
bibechana-11783	124	42	−	−	PROPN
bibechana-11783	125	1	−	−	PROPN
bibechana-11783	125	2	−	−	PROPN
bibechana-11783	126	1	+	+	CCONJ
bibechana-11783	126	2	−	−	PROPN
bibechana-11783	127	1	+	+	CCONJ
bibechana-11783	127	2	−	−	PROPN
bibechana-11783	128	1	+	+	CCONJ
bibechana-11783	128	2	−	−	PROPN
bibechana-11783	128	3	+	+	CCONJ
bibechana-11783	128	4	putting	put	VERB
bibechana-11783	128	5	x	x	SYM
bibechana-11783	128	6	ξ=	ξ=	ADV
bibechana-11783	128	7	in	in	ADP
bibechana-11783	128	8	(	(	PUNCT
bibechana-11783	128	9	4.2	4.2	NUM
bibechana-11783	128	10	)	)	PUNCT
bibechana-11783	128	11	and	and	CCONJ
bibechana-11783	128	12	using	use	VERB
bibechana-11783	128	13	(	(	PUNCT
bibechana-11783	128	14	2.1	2.1	NUM
bibechana-11783	128	15	)	)	PUNCT
bibechana-11783	128	16	,	,	PUNCT
bibechana-11783	128	17	(	(	PUNCT
bibechana-11783	128	18	2.10	2.10	NUM
bibechana-11783	128	19	)	)	PUNCT
bibechana-11783	128	20	and	and	CCONJ
bibechana-11783	128	21	(	(	PUNCT
bibechana-11783	128	22	2.15	2.15	NUM
bibechana-11783	128	23	)	)	PUNCT
bibechana-11783	128	24	,	,	PUNCT
bibechana-11783	128	25	we	we	PRON
bibechana-11783	128	26	obtain	obtain	VERB
bibechana-11783	128	27	(	(	PUNCT
bibechana-11783	128	28	4.3	4.3	NUM
bibechana-11783	128	29	)	)	PUNCT
bibechana-11783	128	30	(	(	PUNCT
bibechana-11783	128	31	)	)	PUNCT
bibechana-11783	128	32	(	(	PUNCT
bibechana-11783	128	33	)	)	PUNCT
bibechana-11783	128	34	{	{	PUNCT
bibechana-11783	128	35	}	}	SYM
bibechana-11783	128	36	2	2	NUM
bibechana-11783	128	37	2	2	NUM
bibechana-11783	128	38	1	1	NUM
bibechana-11783	128	39	0.y	0.y	NUM
bibechana-11783	128	40	yα	yα	VERB
bibechana-11783	129	1	β	β	PROPN
bibechana-11783	129	2	η	η	PROPN
bibechana-11783	129	3	ξ−	ξ−	PROPN
bibechana-11783	129	4	−	−	PROPN
bibechana-11783	130	1	−	−	PROPN
bibechana-11783	130	2	=	=	PRON
bibechana-11783	130	3	since	since	SCONJ
bibechana-11783	130	4	(	(	PUNCT
bibechana-11783	130	5	)	)	PUNCT
bibechana-11783	130	6	(	(	PUNCT
bibechana-11783	130	7	)	)	PUNCT
bibechana-11783	130	8	2	2	NUM
bibechana-11783	130	9	0,y	0,y	NOUN
bibechana-11783	131	1	y	y	PROPN
bibechana-11783	131	2	yη	yη	NOUN
bibechana-11783	131	3	ξ	ξ	X
bibechana-11783	131	4	ϕ−	ϕ−	PROPN
bibechana-11783	131	5	=	=	PUNCT
bibechana-11783	131	6	≠	≠	PROPN
bibechana-11783	131	7	we	we	PRON
bibechana-11783	131	8	have	have	VERB
bibechana-11783	131	9	(	(	PUNCT
bibechana-11783	131	10	)	)	SYM
bibechana-11783	131	11	2	2	NUM
bibechana-11783	131	12	2	2	NUM
bibechana-11783	131	13	1	1	NUM
bibechana-11783	131	14	0.α	0.α	NUM
bibechana-11783	131	15	β−	β−	PUNCT
bibechana-11783	132	1	−	−	NOUN
bibechana-11783	133	1	=	=	NOUN
bibechana-11783	133	2	this	this	DET
bibechana-11783	133	3	yields	yield	NOUN
bibechana-11783	133	4	(	(	PUNCT
bibechana-11783	133	5	4.4	4.4	NUM
bibechana-11783	133	6	)	)	PUNCT
bibechana-11783	133	7	2	2	NUM
bibechana-11783	133	8	2	2	NUM
bibechana-11783	133	9	1.α	1.α	NUM
bibechana-11783	133	10	β=	β=	NOUN
bibechana-11783	133	11	+	+	CCONJ
bibechana-11783	133	12	thus	thus	ADV
bibechana-11783	133	13	the	the	DET
bibechana-11783	133	14	theorem	theorem	NOUN
bibechana-11783	133	15	is	be	AUX
bibechana-11783	133	16	proved	prove	VERB
bibechana-11783	133	17	.	.	PUNCT
bibechana-11783	134	1	from	from	ADP
bibechana-11783	134	2	theorem	theorem	ADJ
bibechana-11783	134	3	3.1	3.1	NUM
bibechana-11783	134	4	and	and	CCONJ
bibechana-11783	134	5	theorem	theorem	VERB
bibechana-11783	134	6	4.1	4.1	NUM
bibechana-11783	134	7	,	,	PUNCT
bibechana-11783	134	8	we	we	PRON
bibechana-11783	134	9	can	can	AUX
bibechana-11783	134	10	state	state	VERB
bibechana-11783	134	11	the	the	DET
bibechana-11783	134	12	following	following	ADJ
bibechana-11783	134	13	result	result	NOUN
bibechana-11783	134	14	:	:	PUNCT
bibechana-11783	134	15	theorem	theorem	VERB
bibechana-11783	134	16	4.2	4.2	NUM
bibechana-11783	134	17	.	.	PUNCT
bibechana-11783	135	1	trans	trans	ADJ
bibechana-11783	135	2	-	-	ADJ
bibechana-11783	135	3	sasakian	sasakian	ADJ
bibechana-11783	135	4	manifolds	manifold	NOUN
bibechana-11783	135	5	of	of	ADP
bibechana-11783	135	6	dimension	dimension	NOUN
bibechana-11783	135	7	(	(	PUNCT
bibechana-11783	135	8	)	)	PUNCT
bibechana-11783	135	9	2	2	NUM
bibechana-11783	135	10	1n+	1n+	NUM
bibechana-11783	135	11	which	which	PRON
bibechana-11783	135	12	satisfy	satisfy	VERB
bibechana-11783	135	13	the	the	DET
bibechana-11783	135	14	conditions	condition	NOUN
bibechana-11783	135	15	(	(	PUNCT
bibechana-11783	135	16	)	)	PUNCT
bibechana-11783	135	17	0	0	NUM
bibechana-11783	135	18	,	,	PUNCT
bibechana-11783	135	19	0c	0c	NOUN
bibechana-11783	135	20	x	x	PUNCT
bibechana-11783	136	1	y	y	NOUN
bibechana-11783	136	2	z	z	PROPN
bibechana-11783	136	3	=	=	PUNCT
bibechana-11783	136	4	and	and	CCONJ
bibechana-11783	136	5	(	(	PUNCT
bibechana-11783	136	6	)	)	PUNCT
bibechana-11783	136	7	0	0	NUM
bibechana-11783	136	8	,	,	PUNCT
bibechana-11783	136	9	0c	0c	NOUN
bibechana-11783	136	10	x	x	VERB
bibechana-11783	136	11	y	y	PROPN
bibechana-11783	136	12	ξ	ξ	PROPN
bibechana-11783	136	13	=	=	PRON
bibechana-11783	136	14	are	be	AUX
bibechana-11783	136	15	equivalent	equivalent	ADJ
bibechana-11783	136	16	.	.	PUNCT
bibechana-11783	137	1	5	5	X
bibechana-11783	137	2	.	.	X
bibechana-11783	137	3	trans	trans	ADJ
bibechana-11783	137	4	-	-	ADJ
bibechana-11783	137	5	sasakian	sasakian	ADJ
bibechana-11783	137	6	manifold	manifold	ADJ
bibechana-11783	137	7	satisfying	satisfying	NOUN
bibechana-11783	137	8	(	(	PUNCT
bibechana-11783	137	9	)	)	PUNCT
bibechana-11783	137	10	0c	0c	PROPN
bibechana-11783	137	11	ξ	ξ	NOUN
bibechana-11783	137	12	,	,	PUNCT
bibechana-11783	137	13	x	x	SYM
bibechana-11783	137	14	.s=0	.s=0	NOUN
bibechana-11783	137	15	consider	consider	VERB
bibechana-11783	137	16	a	a	DET
bibechana-11783	137	17	trans	trans	ADJ
bibechana-11783	137	18	-	-	ADJ
bibechana-11783	137	19	sasakian	sasakian	ADJ
bibechana-11783	137	20	manifold	manifold	ADJ
bibechana-11783	137	21	m	m	NOUN
bibechana-11783	137	22	of	of	ADP
bibechana-11783	137	23	dimension	dimension	NOUN
bibechana-11783	137	24	(	(	PUNCT
bibechana-11783	137	25	)	)	PUNCT
bibechana-11783	137	26	2	2	NUM
bibechana-11783	137	27	1	1	NUM
bibechana-11783	137	28	.n+	.n+	NOUN
bibechana-11783	137	29	let	let	VERB
bibechana-11783	137	30	s	s	PRON
bibechana-11783	137	31	be	be	AUX
bibechana-11783	137	32	the	the	DET
bibechana-11783	137	33	ricci	ricci	PROPN
bibechana-11783	137	34	tensor	tensor	NOUN
bibechana-11783	137	35	of	of	ADP
bibechana-11783	137	36	type	type	NOUN
bibechana-11783	137	37	(	(	PUNCT
bibechana-11783	137	38	0	0	NUM
bibechana-11783	137	39	,	,	PUNCT
bibechana-11783	137	40	2	2	NUM
bibechana-11783	137	41	)	)	PUNCT
bibechana-11783	137	42	.	.	PUNCT
bibechana-11783	138	1	we	we	PRON
bibechana-11783	138	2	prove	prove	VERB
bibechana-11783	138	3	the	the	DET
bibechana-11783	138	4	following	follow	VERB
bibechana-11783	138	5	result	result	NOUN
bibechana-11783	138	6	:	:	PUNCT
bibechana-11783	138	7	theorem	theorem	VERB
bibechana-11783	138	8	5.1	5.1	NUM
bibechana-11783	138	9	.	.	PUNCT
bibechana-11783	139	1	let	let	VERB
bibechana-11783	139	2	m	m	PRON
bibechana-11783	139	3	be	be	AUX
bibechana-11783	139	4	a	a	DET
bibechana-11783	139	5	(	(	PUNCT
bibechana-11783	139	6	)	)	SYM
bibechana-11783	139	7	2	2	NUM
bibechana-11783	139	8	1n+	1n+	NUM
bibechana-11783	139	9	-dimensional	-dimensional	ADJ
bibechana-11783	139	10	trans	trans	ADJ
bibechana-11783	139	11	-	-	ADJ
bibechana-11783	139	12	sasakian	sasakian	ADJ
bibechana-11783	139	13	manifold	manifold	NOUN
bibechana-11783	139	14	.	.	PUNCT
bibechana-11783	140	1	if	if	SCONJ
bibechana-11783	140	2	m	m	NOUN
bibechana-11783	140	3	satisfies	satisfy	VERB
bibechana-11783	140	4	the	the	DET
bibechana-11783	140	5	condition	condition	NOUN
bibechana-11783	140	6	(	(	PUNCT
bibechana-11783	140	7	)	)	PUNCT
bibechana-11783	140	8	0	0	NUM
bibechana-11783	140	9	,	,	PUNCT
bibechana-11783	140	10	.	.	PUNCT
bibechana-11783	141	1	0,c	0,c	PUNCT
bibechana-11783	142	1	x	x	X
bibechana-11783	142	2	sξ	sξ	PROPN
bibechana-11783	143	1	=	=	NOUN
bibechana-11783	143	2	then	then	ADV
bibechana-11783	143	3	it	it	PRON
bibechana-11783	143	4	is	be	AUX
bibechana-11783	143	5	an	an	DET
bibechana-11783	143	6	einstein	einstein	NOUN
bibechana-11783	143	7	manifold	manifold	NOUN
bibechana-11783	143	8	with	with	ADP
bibechana-11783	143	9	scalar	scalar	ADJ
bibechana-11783	143	10	curvature	curvature	NOUN
bibechana-11783	143	11	(	(	PUNCT
bibechana-11783	143	12	)	)	PUNCT
bibechana-11783	143	13	(	(	PUNCT
bibechana-11783	143	14	)	)	PUNCT
bibechana-11783	143	15	2	2	NUM
bibechana-11783	143	16	22	22	NUM
bibechana-11783	143	17	2	2	NUM
bibechana-11783	143	18	1	1	NUM
bibechana-11783	143	19	.r	.r	NOUN
bibechana-11783	143	20	n	n	CCONJ
bibechana-11783	143	21	n	n	NOUN
bibechana-11783	143	22	α	α	NOUN
bibechana-11783	143	23	β=	β=	NOUN
bibechana-11783	143	24	+	+	CCONJ
bibechana-11783	143	25	−	−	PROPN
bibechana-11783	143	26	proof	proof	NOUN
bibechana-11783	143	27	.	.	PUNCT
bibechana-11783	144	1	let	let	VERB
bibechana-11783	144	2	m	m	PRON
bibechana-11783	144	3	be	be	AUX
bibechana-11783	144	4	a	a	DET
bibechana-11783	144	5	(	(	PUNCT
bibechana-11783	144	6	)	)	SYM
bibechana-11783	144	7	2	2	NUM
bibechana-11783	144	8	1n+	1n+	NUM
bibechana-11783	144	9	-dimensional	-dimensional	ADJ
bibechana-11783	144	10	trans	trans	PROPN
bibechana-11783	144	11	-	-	ADJ
bibechana-11783	144	12	sasakian	sasakian	ADJ
bibechana-11783	144	13	manifold	manifold	NOUN
bibechana-11783	144	14	which	which	PRON
bibechana-11783	144	15	satisfies	satisfy	VERB
bibechana-11783	144	16	the	the	DET
bibechana-11783	144	17	condition	condition	NOUN
bibechana-11783	144	18	shah	shah	NOUN
bibechana-11783	144	19	/	/	SYM
bibechana-11783	144	20	bibechana	bibechana	PROPN
bibechana-11783	144	21	12	12	NUM
bibechana-11783	144	22	(	(	PUNCT
bibechana-11783	144	23	2015	2015	NUM
bibechana-11783	144	24	)	)	PUNCT
bibechana-11783	144	25	80	80	NUM
bibechana-11783	144	26	-	-	SYM
bibechana-11783	144	27	88	88	NUM
bibechana-11783	144	28	:	:	PUNCT
bibechana-11783	144	29	p.	p.	NOUN
bibechana-11783	144	30	85	85	NUM
bibechana-11783	144	31	(	(	PUNCT
bibechana-11783	144	32	5.1	5.1	NUM
bibechana-11783	144	33	)	)	PUNCT
bibechana-11783	144	34	(	(	PUNCT
bibechana-11783	144	35	)	)	PUNCT
bibechana-11783	144	36	(	(	PUNCT
bibechana-11783	144	37	)	)	PUNCT
bibechana-11783	144	38	0	0	NUM
bibechana-11783	144	39	,	,	PUNCT
bibechana-11783	144	40	.	.	PUNCT
bibechana-11783	145	1	,	,	PUNCT
bibechana-11783	145	2	0.c	0.c	NOUN
bibechana-11783	145	3	x	x	SYM
bibechana-11783	145	4	s	s	VERB
bibechana-11783	145	5	u	u	NOUN
bibechana-11783	145	6	vξ	vξ	NOUN
bibechana-11783	145	7	=	=	NOUN
bibechana-11783	145	8	this	this	DET
bibechana-11783	145	9	condition	condition	NOUN
bibechana-11783	145	10	implies	imply	VERB
bibechana-11783	145	11	that	that	SCONJ
bibechana-11783	145	12	(	(	PUNCT
bibechana-11783	145	13	5.2	5.2	NUM
bibechana-11783	145	14	)	)	PUNCT
bibechana-11783	145	15	(	(	PUNCT
bibechana-11783	145	16	)	)	PUNCT
bibechana-11783	145	17	(	(	PUNCT
bibechana-11783	145	18	)	)	PUNCT
bibechana-11783	145	19	(	(	PUNCT
bibechana-11783	145	20	)	)	PUNCT
bibechana-11783	145	21	(	(	PUNCT
bibechana-11783	145	22	)	)	PUNCT
bibechana-11783	145	23	0	0	NUM
bibechana-11783	145	24	0	0	NUM
bibechana-11783	145	25	,	,	PUNCT
bibechana-11783	145	26	,	,	PUNCT
bibechana-11783	145	27	,	,	PUNCT
bibechana-11783	145	28	,	,	PUNCT
bibechana-11783	145	29	0.s	0.s	PROPN
bibechana-11783	145	30	c	c	NOUN
bibechana-11783	145	31	x	x	SYM
bibechana-11783	145	32	u	u	NOUN
bibechana-11783	145	33	v	v	X
bibechana-11783	145	34	s	s	X
bibechana-11783	145	35	u	u	NOUN
bibechana-11783	145	36	c	c	NOUN
bibechana-11783	145	37	x	x	X
bibechana-11783	145	38	vξ	vξ	NOUN
bibechana-11783	145	39	ξ+	ξ+	NOUN
bibechana-11783	145	40	=	=	PUNCT
bibechana-11783	145	41	putting	put	VERB
bibechana-11783	145	42	v	v	ADP
bibechana-11783	145	43	ξ=	ξ=	NOUN
bibechana-11783	145	44	in	in	ADP
bibechana-11783	145	45	(	(	PUNCT
bibechana-11783	145	46	5.2	5.2	NUM
bibechana-11783	145	47	)	)	PUNCT
bibechana-11783	145	48	and	and	CCONJ
bibechana-11783	145	49	using	use	VERB
bibechana-11783	145	50	(	(	PUNCT
bibechana-11783	145	51	2.16	2.16	NUM
bibechana-11783	145	52	)	)	PUNCT
bibechana-11783	145	53	and	and	CCONJ
bibechana-11783	145	54	(	(	PUNCT
bibechana-11783	145	55	2.22	2.22	NUM
bibechana-11783	145	56	)	)	PUNCT
bibechana-11783	145	57	,	,	PUNCT
bibechana-11783	145	58	we	we	PRON
bibechana-11783	145	59	obtain	obtain	VERB
bibechana-11783	145	60	(	(	PUNCT
bibechana-11783	145	61	5.3	5.3	NUM
bibechana-11783	145	62	)	)	PUNCT
bibechana-11783	145	63	(	(	PUNCT
bibechana-11783	145	64	)	)	PUNCT
bibechana-11783	145	65	(	(	PUNCT
bibechana-11783	145	66	)	)	PUNCT
bibechana-11783	145	67	(	(	PUNCT
bibechana-11783	145	68	)	)	PUNCT
bibechana-11783	145	69	2	2	NUM
bibechana-11783	145	70	2	2	NUM
bibechana-11783	145	71	,	,	PUNCT
bibechana-11783	145	72	2	2	NUM
bibechana-11783	145	73	,	,	PUNCT
bibechana-11783	145	74	.s	.s	NOUN
bibechana-11783	145	75	x	x	PUNCT
bibechana-11783	145	76	u	u	NOUN
bibechana-11783	145	77	n	n	ADV
bibechana-11783	145	78	g	g	NOUN
bibechana-11783	145	79	x	x	X
bibechana-11783	145	80	uα	uα	PROPN
bibechana-11783	145	81	β=	β=	NOUN
bibechana-11783	146	1	−	−	NOUN
bibechana-11783	146	2	taking	take	VERB
bibechana-11783	146	3	an	an	DET
bibechana-11783	146	4	orthonormal	orthonormal	ADJ
bibechana-11783	146	5	frame	frame	NOUN
bibechana-11783	146	6	field	field	NOUN
bibechana-11783	146	7	at	at	ADP
bibechana-11783	146	8	any	any	DET
bibechana-11783	146	9	point	point	NOUN
bibechana-11783	146	10	of	of	ADP
bibechana-11783	146	11	the	the	DET
bibechana-11783	146	12	manifold	manifold	ADJ
bibechana-11783	146	13	and	and	CCONJ
bibechana-11783	146	14	contracting	contracting	NOUN
bibechana-11783	146	15	over	over	ADP
bibechana-11783	146	16	x	x	PUNCT
bibechana-11783	146	17	and	and	CCONJ
bibechana-11783	146	18	u	u	NOUN
bibechana-11783	146	19	in	in	ADP
bibechana-11783	146	20	(	(	PUNCT
bibechana-11783	146	21	5.3	5.3	NUM
bibechana-11783	146	22	)	)	PUNCT
bibechana-11783	146	23	,	,	PUNCT
bibechana-11783	146	24	we	we	PRON
bibechana-11783	146	25	get	get	VERB
bibechana-11783	146	26	(	(	PUNCT
bibechana-11783	146	27	5.4	5.4	NUM
bibechana-11783	146	28	)	)	PUNCT
bibechana-11783	146	29	(	(	PUNCT
bibechana-11783	146	30	)	)	PUNCT
bibechana-11783	146	31	(	(	PUNCT
bibechana-11783	146	32	)	)	PUNCT
bibechana-11783	146	33	2	2	NUM
bibechana-11783	146	34	22	22	NUM
bibechana-11783	146	35	2	2	NUM
bibechana-11783	146	36	1	1	NUM
bibechana-11783	146	37	.r	.r	NOUN
bibechana-11783	146	38	n	n	CCONJ
bibechana-11783	146	39	n	n	NOUN
bibechana-11783	146	40	α	α	NOUN
bibechana-11783	146	41	β=	β=	NOUN
bibechana-11783	147	1	+	+	CCONJ
bibechana-11783	147	2	−	−	X
bibechana-11783	147	3	from	from	ADP
bibechana-11783	147	4	(	(	PUNCT
bibechana-11783	147	5	5.3	5.3	NUM
bibechana-11783	147	6	)	)	PUNCT
bibechana-11783	147	7	and	and	CCONJ
bibechana-11783	147	8	(	(	PUNCT
bibechana-11783	147	9	5.4	5.4	NUM
bibechana-11783	147	10	)	)	PUNCT
bibechana-11783	147	11	it	it	PRON
bibechana-11783	147	12	follows	follow	VERB
bibechana-11783	147	13	that	that	SCONJ
bibechana-11783	147	14	the	the	DET
bibechana-11783	147	15	manifold	manifold	ADJ
bibechana-11783	147	16	m	m	NOUN
bibechana-11783	147	17	is	be	AUX
bibechana-11783	147	18	an	an	DET
bibechana-11783	147	19	einstein	einstein	NOUN
bibechana-11783	147	20	manifold	manifold	NOUN
bibechana-11783	147	21	with	with	ADP
bibechana-11783	147	22	scalar	scalar	ADJ
bibechana-11783	147	23	curvature	curvature	NOUN
bibechana-11783	147	24	(	(	PUNCT
bibechana-11783	147	25	)	)	PUNCT
bibechana-11783	147	26	(	(	PUNCT
bibechana-11783	147	27	)	)	PUNCT
bibechana-11783	147	28	2	2	NUM
bibechana-11783	147	29	22	22	NUM
bibechana-11783	147	30	2	2	NUM
bibechana-11783	147	31	1	1	NUM
bibechana-11783	147	32	.r	.r	NOUN
bibechana-11783	147	33	n	n	CCONJ
bibechana-11783	147	34	n	n	NOUN
bibechana-11783	147	35	α	α	NOUN
bibechana-11783	147	36	β=	β=	NOUN
bibechana-11783	148	1	+	+	CCONJ
bibechana-11783	148	2	−	−	NOUN
bibechana-11783	148	3	this	this	PRON
bibechana-11783	148	4	completes	complete	VERB
bibechana-11783	148	5	the	the	DET
bibechana-11783	148	6	proof	proof	NOUN
bibechana-11783	148	7	of	of	ADP
bibechana-11783	148	8	the	the	DET
bibechana-11783	148	9	result	result	NOUN
bibechana-11783	148	10	.	.	PUNCT
bibechana-11783	149	1	6	6	X
bibechana-11783	149	2	.	.	X
bibechana-11783	149	3	trans	trans	ADJ
bibechana-11783	149	4	-	-	ADJ
bibechana-11783	149	5	sasakian	sasakian	ADJ
bibechana-11783	149	6	manifold	manifold	ADJ
bibechana-11783	149	7	satisfying	satisfying	NOUN
bibechana-11783	149	8	(	(	PUNCT
bibechana-11783	149	9	)	)	PUNCT
bibechana-11783	149	10	0	0	NUM
bibechana-11783	149	11	0c	0c	NUM
bibechana-11783	149	12	ξ	ξ	PROPN
bibechana-11783	149	13	,	,	PUNCT
bibechana-11783	149	14	x	x	X
bibechana-11783	149	15	.c	.c	PUNCT
bibechana-11783	150	1	=	=	NOUN
bibechana-11783	150	2	0	0	PUNCT
bibechana-11783	150	3	let	let	VERB
bibechana-11783	150	4	m	m	PRON
bibechana-11783	150	5	be	be	AUX
bibechana-11783	150	6	a	a	DET
bibechana-11783	150	7	(	(	PUNCT
bibechana-11783	150	8	)	)	SYM
bibechana-11783	150	9	2	2	NUM
bibechana-11783	150	10	1n+	1n+	NUM
bibechana-11783	150	11	-dimensional	-dimensional	ADJ
bibechana-11783	150	12	trans	trans	ADJ
bibechana-11783	150	13	-	-	ADJ
bibechana-11783	150	14	sasakian	sasakian	ADJ
bibechana-11783	150	15	manifold	manifold	NOUN
bibechana-11783	150	16	.	.	PUNCT
bibechana-11783	151	1	suppose	suppose	VERB
bibechana-11783	151	2	the	the	DET
bibechana-11783	151	3	condition	condition	NOUN
bibechana-11783	151	4	(	(	PUNCT
bibechana-11783	151	5	)	)	PUNCT
bibechana-11783	151	6	(	(	PUNCT
bibechana-11783	151	7	)	)	PUNCT
bibechana-11783	151	8	(	(	PUNCT
bibechana-11783	151	9	)	)	PUNCT
bibechana-11783	151	10	0	0	NUM
bibechana-11783	151	11	0	0	NUM
bibechana-11783	151	12	,	,	PUNCT
bibechana-11783	151	13	.	.	PUNCT
bibechana-11783	152	1	,	,	PUNCT
bibechana-11783	152	2	0c	0c	X
bibechana-11783	152	3	x	x	PUNCT
bibechana-11783	152	4	c	c	VERB
bibechana-11783	152	5	u	u	X
bibechana-11783	152	6	v	v	PRON
bibechana-11783	152	7	zξ	zξ	PROPN
bibechana-11783	152	8	=	=	PUNCT
bibechana-11783	152	9	holds	hold	VERB
bibechana-11783	152	10	in	in	ADP
bibechana-11783	152	11	.m	.m	NOUN
bibechana-11783	152	12	then	then	ADV
bibechana-11783	152	13	we	we	PRON
bibechana-11783	152	14	have	have	AUX
bibechana-11783	152	15	theorem	theorem	VERB
bibechana-11783	152	16	6.1	6.1	NUM
bibechana-11783	152	17	.	.	PUNCT
bibechana-11783	153	1	a	a	DET
bibechana-11783	153	2	(	(	PUNCT
bibechana-11783	153	3	)	)	SYM
bibechana-11783	153	4	2	2	NUM
bibechana-11783	153	5	1n+	1n+	NUM
bibechana-11783	153	6	-dimensional	-dimensional	ADJ
bibechana-11783	153	7	trans	trans	PROPN
bibechana-11783	153	8	-	-	ADJ
bibechana-11783	153	9	sasakian	sasakian	ADJ
bibechana-11783	153	10	manifold	manifold	NOUN
bibechana-11783	153	11	satisfying	satisfy	VERB
bibechana-11783	153	12	the	the	DET
bibechana-11783	153	13	condition	condition	NOUN
bibechana-11783	153	14	(	(	PUNCT
bibechana-11783	153	15	)	)	PUNCT
bibechana-11783	153	16	0	0	NUM
bibechana-11783	153	17	0	0	NUM
bibechana-11783	153	18	,	,	PUNCT
bibechana-11783	153	19	.	.	PUNCT
bibechana-11783	154	1	0c	0c	NOUN
bibechana-11783	154	2	x	x	PUNCT
bibechana-11783	154	3	cξ	cξ	NOUN
bibechana-11783	154	4	=	=	VERB
bibechana-11783	154	5	is	be	AUX
bibechana-11783	154	6	contact	contact	NOUN
bibechana-11783	154	7	conformally	conformally	ADV
bibechana-11783	154	8	semi	semi	ADJ
bibechana-11783	154	9	-	-	ADJ
bibechana-11783	154	10	symmetric	symmetric	ADJ
bibechana-11783	154	11	if	if	SCONJ
bibechana-11783	154	12	(	(	PUNCT
bibechana-11783	154	13	)	)	PUNCT
bibechana-11783	154	14	(	(	PUNCT
bibechana-11783	154	15	)	)	PUNCT
bibechana-11783	154	16	(	(	PUNCT
bibechana-11783	154	17	)	)	PUNCT
bibechana-11783	154	18	(	(	PUNCT
bibechana-11783	154	19	)	)	PUNCT
bibechana-11783	154	20	{	{	PUNCT
bibechana-11783	154	21	}	}	PUNCT
bibechana-11783	154	22	(	(	PUNCT
bibechana-11783	154	23	)	)	PUNCT
bibechana-11783	154	24	(	(	PUNCT
bibechana-11783	154	25	)	)	PUNCT
bibechana-11783	154	26	(	(	PUNCT
bibechana-11783	154	27	)	)	PUNCT
bibechana-11783	154	28	2	2	NUM
bibechana-11783	154	29	20	20	NUM
bibechana-11783	154	30	2	2	NUM
bibechana-11783	154	31	,	,	PUNCT
bibechana-11783	154	32	,	,	PUNCT
bibechana-11783	154	33	,	,	PUNCT
bibechana-11783	154	34	,	,	PUNCT
bibechana-11783	154	35	,	,	PUNCT
bibechana-11783	154	36	,	,	PUNCT
bibechana-11783	154	37	.	.	PUNCT
bibechana-11783	155	1	g	g	PROPN
bibechana-11783	155	2	v	v	NUM
bibechana-11783	155	3	z	z	NOUN
bibechana-11783	156	1	x	x	SYM
bibechana-11783	156	2	g	g	NOUN
bibechana-11783	156	3	x	x	SYM
bibechana-11783	156	4	v	v	ADP
bibechana-11783	156	5	z	z	NOUN
bibechana-11783	156	6	g	g	NOUN
bibechana-11783	156	7	x	x	PROPN
bibechana-11783	156	8	z	z	NOUN
bibechana-11783	156	9	v	v	NOUN
bibechana-11783	156	10	g	g	NOUN
bibechana-11783	156	11	r	r	NOUN
bibechana-11783	156	12	v	v	NOUN
bibechana-11783	156	13	z	z	NOUN
bibechana-11783	156	14	x	x	SYM
bibechana-11783	156	15	r	r	NOUN
bibechana-11783	156	16	x	x	SYM
bibechana-11783	156	17	v	v	NOUN
bibechana-11783	156	18	z	z	NOUN
bibechana-11783	156	19	α	α	NOUN
bibechana-11783	157	1	β	β	X
bibechana-11783	157	2	ξ	ξ	X
bibechana-11783	157	3	ξ	ξ	X
bibechana-11783	157	4	=	=	SYM
bibechana-11783	157	5	−	−	PROPN
bibechana-11783	157	6	−	−	PROPN
bibechana-11783	157	7	−	−	NOUN
bibechana-11783	157	8	−	−	NOUN
bibechana-11783	157	9	−	−	PROPN
bibechana-11783	157	10	proof	proof	NOUN
bibechana-11783	157	11	.	.	PUNCT
bibechana-11783	158	1	let	let	VERB
bibechana-11783	158	2	us	we	PRON
bibechana-11783	158	3	consider	consider	VERB
bibechana-11783	158	4	a	a	DET
bibechana-11783	158	5	(	(	PUNCT
bibechana-11783	158	6	)	)	SYM
bibechana-11783	158	7	2	2	NUM
bibechana-11783	158	8	1n+	1n+	NUM
bibechana-11783	158	9	-dimensional	-dimensional	ADJ
bibechana-11783	158	10	trans	trans	PROPN
bibechana-11783	158	11	-	-	ADJ
bibechana-11783	158	12	sasakian	sasakian	ADJ
bibechana-11783	158	13	manifold	manifold	NOUN
bibechana-11783	158	14	which	which	PRON
bibechana-11783	158	15	satisfies	satisfy	VERB
bibechana-11783	158	16	the	the	DET
bibechana-11783	158	17	condition	condition	NOUN
bibechana-11783	158	18	(	(	PUNCT
bibechana-11783	158	19	)	)	PUNCT
bibechana-11783	158	20	(	(	PUNCT
bibechana-11783	158	21	)	)	PUNCT
bibechana-11783	158	22	0	0	NUM
bibechana-11783	158	23	0	0	NUM
bibechana-11783	158	24	,	,	PUNCT
bibechana-11783	158	25	.	.	PUNCT
bibechana-11783	159	1	,	,	PUNCT
bibechana-11783	159	2	0,c	0,c	PUNCT
bibechana-11783	160	1	x	x	PUNCT
bibechana-11783	160	2	c	c	X
bibechana-11783	160	3	u	u	X
bibechana-11783	160	4	v	v	ADP
bibechana-11783	160	5	zξ	zξ	PROPN
bibechana-11783	160	6	=	=	PUNCT
bibechana-11783	160	7	then	then	ADV
bibechana-11783	160	8	by	by	ADP
bibechana-11783	160	9	definition	definition	NOUN
bibechana-11783	160	10	we	we	PRON
bibechana-11783	160	11	have	have	VERB
bibechana-11783	160	12	(	(	PUNCT
bibechana-11783	160	13	6.1	6.1	NUM
bibechana-11783	160	14	)	)	PUNCT
bibechana-11783	160	15	(	(	PUNCT
bibechana-11783	160	16	)	)	PUNCT
bibechana-11783	160	17	(	(	PUNCT
bibechana-11783	160	18	)	)	PUNCT
bibechana-11783	160	19	(	(	PUNCT
bibechana-11783	160	20	)	)	PUNCT
bibechana-11783	160	21	(	(	PUNCT
bibechana-11783	160	22	)	)	PUNCT
bibechana-11783	160	23	(	(	PUNCT
bibechana-11783	160	24	)	)	PUNCT
bibechana-11783	160	25	(	(	PUNCT
bibechana-11783	160	26	)	)	PUNCT
bibechana-11783	160	27	(	(	PUNCT
bibechana-11783	160	28	)	)	PUNCT
bibechana-11783	160	29	(	(	PUNCT
bibechana-11783	160	30	)	)	PUNCT
bibechana-11783	160	31	0	0	NUM
bibechana-11783	160	32	0	0	NUM
bibechana-11783	160	33	0	0	NUM
bibechana-11783	160	34	0	0	NUM
bibechana-11783	160	35	0	0	NUM
bibechana-11783	160	36	0	0	NUM
bibechana-11783	160	37	0	0	NUM
bibechana-11783	160	38	0	0	NUM
bibechana-11783	160	39	0	0	NUM
bibechana-11783	160	40	,	,	PUNCT
bibechana-11783	160	41	,	,	PUNCT
bibechana-11783	160	42	,	,	PUNCT
bibechana-11783	160	43	,	,	PUNCT
bibechana-11783	160	44	,	,	PUNCT
bibechana-11783	160	45	,	,	PUNCT
bibechana-11783	160	46	,	,	PUNCT
bibechana-11783	160	47	,	,	PUNCT
bibechana-11783	160	48	.	.	PUNCT
bibechana-11783	161	1	c	c	NOUN
bibechana-11783	162	1	x	x	PUNCT
bibechana-11783	162	2	c	c	VERB
bibechana-11783	162	3	u	u	NOUN
bibechana-11783	162	4	v	v	ADP
bibechana-11783	162	5	z	z	NOUN
bibechana-11783	162	6	c	c	NOUN
bibechana-11783	162	7	c	c	NOUN
bibechana-11783	162	8	x	x	SYM
bibechana-11783	162	9	u	u	NOUN
bibechana-11783	162	10	v	v	ADP
bibechana-11783	162	11	z	z	NOUN
bibechana-11783	162	12	c	c	NOUN
bibechana-11783	162	13	u	u	NOUN
bibechana-11783	162	14	c	c	NOUN
bibechana-11783	162	15	x	x	X
bibechana-11783	162	16	v	v	ADP
bibechana-11783	162	17	z	z	NOUN
bibechana-11783	162	18	c	c	NOUN
bibechana-11783	162	19	u	u	NOUN
bibechana-11783	162	20	v	v	ADP
bibechana-11783	162	21	c	c	NOUN
bibechana-11783	162	22	x	x	X
bibechana-11783	162	23	z	z	NOUN
bibechana-11783	162	24	ξ	ξ	X
bibechana-11783	162	25	ξ	ξ	X
bibechana-11783	162	26	ξ	ξ	X
bibechana-11783	162	27	ξ	ξ	PROPN
bibechana-11783	162	28	=	=	SYM
bibechana-11783	162	29	−	−	PROPN
bibechana-11783	162	30	−	−	NOUN
bibechana-11783	162	31	−	−	NOUN
bibechana-11783	163	1	using	use	VERB
bibechana-11783	163	2	(	(	PUNCT
bibechana-11783	163	3	2.22	2.22	NUM
bibechana-11783	163	4	)	)	PUNCT
bibechana-11783	163	5	in	in	ADP
bibechana-11783	163	6	(	(	PUNCT
bibechana-11783	163	7	6.1	6.1	NUM
bibechana-11783	163	8	)	)	PUNCT
bibechana-11783	163	9	we	we	PRON
bibechana-11783	163	10	get	get	VERB
bibechana-11783	163	11	(	(	PUNCT
bibechana-11783	163	12	6.2	6.2	NUM
bibechana-11783	163	13	)	)	PUNCT
bibechana-11783	163	14	(	(	PUNCT
bibechana-11783	163	15	)	)	PUNCT
bibechana-11783	163	16	(	(	PUNCT
bibechana-11783	163	17	)	)	PUNCT
bibechana-11783	163	18	(	(	PUNCT
bibechana-11783	163	19	)	)	PUNCT
bibechana-11783	163	20	(	(	PUNCT
bibechana-11783	163	21	)	)	PUNCT
bibechana-11783	163	22	(	(	PUNCT
bibechana-11783	163	23	)	)	PUNCT
bibechana-11783	163	24	(	(	PUNCT
bibechana-11783	163	25	)	)	PUNCT
bibechana-11783	163	26	(	(	PUNCT
bibechana-11783	163	27	)	)	PUNCT
bibechana-11783	163	28	(	(	PUNCT
bibechana-11783	163	29	)	)	PUNCT
bibechana-11783	163	30	(	(	PUNCT
bibechana-11783	163	31	)	)	PUNCT
bibechana-11783	163	32	(	(	PUNCT
bibechana-11783	163	33	)	)	PUNCT
bibechana-11783	163	34	(	(	PUNCT
bibechana-11783	163	35	)	)	PUNCT
bibechana-11783	163	36	(	(	PUNCT
bibechana-11783	163	37	)	)	PUNCT
bibechana-11783	163	38	(	(	PUNCT
bibechana-11783	163	39	)	)	PUNCT
bibechana-11783	163	40	(	(	PUNCT
bibechana-11783	163	41	)	)	PUNCT
bibechana-11783	163	42	(	(	PUNCT
bibechana-11783	163	43	)	)	PUNCT
bibechana-11783	163	44	(	(	PUNCT
bibechana-11783	163	45	)	)	PUNCT
bibechana-11783	163	46	(	(	PUNCT
bibechana-11783	163	47	)	)	PUNCT
bibechana-11783	163	48	(	(	PUNCT
bibechana-11783	163	49	)	)	PUNCT
bibechana-11783	163	50	(	(	PUNCT
bibechana-11783	163	51	)	)	PUNCT
bibechana-11783	163	52	2	2	NUM
bibechana-11783	163	53	2	2	NUM
bibechana-11783	163	54	0	0	NUM
bibechana-11783	163	55	0	0	NUM
bibechana-11783	163	56	0	0	NUM
bibechana-11783	163	57	0	0	NUM
bibechana-11783	163	58	0	0	NUM
bibechana-11783	163	59	0	0	NUM
bibechana-11783	163	60	0	0	NUM
bibechana-11783	163	61	0	0	NUM
bibechana-11783	163	62	0	0	NUM
bibechana-11783	163	63	0	0	NUM
bibechana-11783	163	64	,	,	PUNCT
bibechana-11783	163	65	.	.	PUNCT
bibechana-11783	164	1	,	,	PUNCT
bibechana-11783	164	2	2	2	NUM
bibechana-11783	164	3	[	[	PUNCT
bibechana-11783	164	4	,	,	PUNCT
bibechana-11783	164	5	,	,	PUNCT
bibechana-11783	164	6	,	,	PUNCT
bibechana-11783	164	7	,	,	PUNCT
bibechana-11783	164	8	,	,	PUNCT
bibechana-11783	164	9	,	,	PUNCT
bibechana-11783	164	10	,	,	PUNCT
bibechana-11783	164	11	,	,	PUNCT
bibechana-11783	164	12	,	,	PUNCT
bibechana-11783	164	13	,	,	PUNCT
bibechana-11783	164	14	,	,	PUNCT
bibechana-11783	164	15	,	,	PUNCT
bibechana-11783	164	16	]	]	PUNCT
bibechana-11783	164	17	.	.	PUNCT
bibechana-11783	165	1	r	r	NOUN
bibechana-11783	165	2	x	x	PUNCT
bibechana-11783	165	3	c	c	NOUN
bibechana-11783	165	4	u	u	NOUN
bibechana-11783	165	5	v	v	ADP
bibechana-11783	165	6	z	z	NOUN
bibechana-11783	165	7	g	g	NOUN
bibechana-11783	165	8	x	x	SYM
bibechana-11783	165	9	c	c	NOUN
bibechana-11783	165	10	u	u	NOUN
bibechana-11783	165	11	v	v	ADP
bibechana-11783	165	12	z	z	NOUN
bibechana-11783	165	13	c	c	NOUN
bibechana-11783	165	14	u	u	NOUN
bibechana-11783	165	15	v	v	ADP
bibechana-11783	165	16	z	z	NOUN
bibechana-11783	165	17	x	x	NOUN
bibechana-11783	165	18	g	g	NOUN
bibechana-11783	165	19	x	x	X
bibechana-11783	165	20	u	u	NOUN
bibechana-11783	165	21	c	c	PROPN
bibechana-11783	165	22	v	v	NOUN
bibechana-11783	165	23	z	z	PROPN
bibechana-11783	165	24	u	u	NOUN
bibechana-11783	165	25	c	c	NOUN
bibechana-11783	165	26	x	x	X
bibechana-11783	165	27	v	v	ADP
bibechana-11783	165	28	z	z	NOUN
bibechana-11783	165	29	g	g	NOUN
bibechana-11783	165	30	x	x	SYM
bibechana-11783	165	31	v	v	NOUN
bibechana-11783	165	32	c	c	NOUN
bibechana-11783	165	33	u	u	NOUN
bibechana-11783	165	34	z	z	NOUN
bibechana-11783	165	35	v	v	NOUN
bibechana-11783	165	36	c	c	NOUN
bibechana-11783	165	37	u	u	NOUN
bibechana-11783	165	38	x	x	PROPN
bibechana-11783	165	39	z	z	NOUN
bibechana-11783	165	40	g	g	NOUN
bibechana-11783	165	41	x	x	X
bibechana-11783	165	42	z	z	NOUN
bibechana-11783	165	43	c	c	NOUN
bibechana-11783	165	44	u	u	NOUN
bibechana-11783	165	45	v	v	ADP
bibechana-11783	165	46	z	z	NOUN
bibechana-11783	165	47	c	c	NOUN
bibechana-11783	165	48	u	u	NOUN
bibechana-11783	165	49	v	v	NOUN
bibechana-11783	165	50	x	x	SYM
bibechana-11783	165	51	ξ	ξ	X
bibechana-11783	165	52	α	α	X
bibechana-11783	165	53	β	β	X
bibechana-11783	165	54	ξ	ξ	PROPN
bibechana-11783	165	55	η	η	X
bibechana-11783	165	56	ξ	ξ	PROPN
bibechana-11783	165	57	η	η	PROPN
bibechana-11783	165	58	ξ	ξ	PROPN
bibechana-11783	165	59	η	η	PROPN
bibechana-11783	165	60	ξ	ξ	PROPN
bibechana-11783	165	61	η	η	PROPN
bibechana-11783	165	62	=	=	PROPN
bibechana-11783	166	1	+	+	NUM
bibechana-11783	166	2	−	−	PROPN
bibechana-11783	166	3	−	−	NUM
bibechana-11783	167	1	−	−	NOUN
bibechana-11783	167	2	−	−	PROPN
bibechana-11783	168	1	+	+	CCONJ
bibechana-11783	168	2	−	−	PROPN
bibechana-11783	169	1	+	+	CCONJ
bibechana-11783	169	2	−	−	PROPN
bibechana-11783	170	1	+	+	CCONJ
bibechana-11783	170	2	taking	take	VERB
bibechana-11783	170	3	inner	inner	ADJ
bibechana-11783	170	4	product	product	NOUN
bibechana-11783	170	5	on	on	ADP
bibechana-11783	170	6	both	both	DET
bibechana-11783	170	7	sides	side	NOUN
bibechana-11783	170	8	of	of	ADP
bibechana-11783	170	9	(	(	PUNCT
bibechana-11783	170	10	6.2	6.2	NUM
bibechana-11783	170	11	)	)	PUNCT
bibechana-11783	170	12	by	by	ADP
bibechana-11783	170	13	ξ	ξ	PROPN
bibechana-11783	170	14	and	and	CCONJ
bibechana-11783	170	15	using	use	VERB
bibechana-11783	170	16	(	(	PUNCT
bibechana-11783	170	17	2.24	2.24	NUM
bibechana-11783	170	18	)	)	PUNCT
bibechana-11783	170	19	,	,	PUNCT
bibechana-11783	170	20	we	we	PRON
bibechana-11783	170	21	obtain	obtain	VERB
bibechana-11783	170	22	shah	shah	NOUN
bibechana-11783	170	23	/	/	SYM
bibechana-11783	170	24	bibechana	bibechana	PROPN
bibechana-11783	170	25	12	12	NUM
bibechana-11783	170	26	(	(	PUNCT
bibechana-11783	170	27	2015	2015	NUM
bibechana-11783	170	28	)	)	PUNCT
bibechana-11783	170	29	80	80	NUM
bibechana-11783	170	30	-	-	SYM
bibechana-11783	170	31	88	88	NUM
bibechana-11783	170	32	:	:	PUNCT
bibechana-11783	170	33	p.	p.	NOUN
bibechana-11783	170	34	86	86	NUM
bibechana-11783	170	35	(	(	PUNCT
bibechana-11783	170	36	6.3	6.3	NUM
bibechana-11783	170	37	)	)	PUNCT
bibechana-11783	170	38	(	(	PUNCT
bibechana-11783	170	39	)	)	PUNCT
bibechana-11783	170	40	(	(	PUNCT
bibechana-11783	170	41	)	)	PUNCT
bibechana-11783	170	42	(	(	PUNCT
bibechana-11783	170	43	)	)	PUNCT
bibechana-11783	170	44	(	(	PUNCT
bibechana-11783	170	45	)	)	PUNCT
bibechana-11783	170	46	(	(	PUNCT
bibechana-11783	170	47	)	)	PUNCT
bibechana-11783	170	48	(	(	PUNCT
bibechana-11783	170	49	)	)	PUNCT
bibechana-11783	170	50	(	(	PUNCT
bibechana-11783	170	51	)	)	PUNCT
bibechana-11783	170	52	(	(	PUNCT
bibechana-11783	170	53	)	)	PUNCT
bibechana-11783	170	54	(	(	PUNCT
bibechana-11783	170	55	)	)	PUNCT
bibechana-11783	170	56	(	(	PUNCT
bibechana-11783	170	57	)	)	PUNCT
bibechana-11783	170	58	(	(	PUNCT
bibechana-11783	170	59	)	)	PUNCT
bibechana-11783	170	60	(	(	PUNCT
bibechana-11783	170	61	)	)	PUNCT
bibechana-11783	170	62	(	(	PUNCT
bibechana-11783	170	63	)	)	PUNCT
bibechana-11783	170	64	(	(	PUNCT
bibechana-11783	170	65	)	)	PUNCT
bibechana-11783	170	66	(	(	PUNCT
bibechana-11783	170	67	)	)	PUNCT
bibechana-11783	170	68	(	(	PUNCT
bibechana-11783	170	69	)	)	PUNCT
bibechana-11783	170	70	(	(	PUNCT
bibechana-11783	170	71	)	)	PUNCT
bibechana-11783	170	72	(	(	PUNCT
bibechana-11783	170	73	)	)	PUNCT
bibechana-11783	170	74	(	(	PUNCT
bibechana-11783	170	75	)	)	PUNCT
bibechana-11783	170	76	(	(	PUNCT
bibechana-11783	170	77	)	)	PUNCT
bibechana-11783	170	78	(	(	PUNCT
bibechana-11783	170	79	)	)	PUNCT
bibechana-11783	170	80	(	(	PUNCT
bibechana-11783	170	81	)	)	PUNCT
bibechana-11783	170	82	(	(	PUNCT
bibechana-11783	170	83	)	)	PUNCT
bibechana-11783	170	84	(	(	PUNCT
bibechana-11783	170	85	)	)	PUNCT
bibechana-11783	170	86	2	2	NUM
bibechana-11783	170	87	2	2	NUM
bibechana-11783	170	88	0	0	NUM
bibechana-11783	170	89	0	0	NUM
bibechana-11783	170	90	0	0	NUM
bibechana-11783	170	91	0	0	NUM
bibechana-11783	170	92	0	0	NUM
bibechana-11783	170	93	0	0	NUM
bibechana-11783	170	94	0	0	NUM
bibechana-11783	170	95	0	0	NUM
bibechana-11783	170	96	,	,	PUNCT
bibechana-11783	170	97	.	.	PUNCT
bibechana-11783	171	1	,	,	PUNCT
bibechana-11783	171	2	,	,	PUNCT
bibechana-11783	171	3	2	2	NUM
bibechana-11783	171	4	[	[	PUNCT
bibechana-11783	171	5	,	,	PUNCT
bibechana-11783	171	6	,	,	PUNCT
bibechana-11783	171	7	,	,	PUNCT
bibechana-11783	171	8	,	,	PUNCT
bibechana-11783	171	9	,	,	PUNCT
bibechana-11783	171	10	,	,	PUNCT
bibechana-11783	171	11	,	,	PUNCT
bibechana-11783	171	12	,	,	PUNCT
bibechana-11783	171	13	,	,	PUNCT
bibechana-11783	171	14	,	,	PUNCT
bibechana-11783	171	15	]	]	PUNCT
bibechana-11783	171	16	.	.	PUNCT
bibechana-11783	172	1	og	og	INTJ
bibechana-11783	173	1	r	r	NOUN
bibechana-11783	173	2	x	x	PUNCT
bibechana-11783	173	3	c	c	NOUN
bibechana-11783	173	4	u	u	NOUN
bibechana-11783	173	5	v	v	ADP
bibechana-11783	173	6	z	z	NOUN
bibechana-11783	173	7	g	g	NOUN
bibechana-11783	173	8	x	x	SYM
bibechana-11783	173	9	c	c	NOUN
bibechana-11783	173	10	u	u	NOUN
bibechana-11783	173	11	v	v	ADP
bibechana-11783	173	12	z	z	NOUN
bibechana-11783	173	13	x	x	SYM
bibechana-11783	173	14	c	c	NOUN
bibechana-11783	173	15	u	u	NOUN
bibechana-11783	173	16	v	v	ADP
bibechana-11783	173	17	z	z	NOUN
bibechana-11783	173	18	g	g	NOUN
bibechana-11783	173	19	x	x	SYM
bibechana-11783	173	20	u	u	NOUN
bibechana-11783	173	21	c	c	PROPN
bibechana-11783	173	22	v	v	NOUN
bibechana-11783	173	23	z	z	PROPN
bibechana-11783	173	24	u	u	NOUN
bibechana-11783	173	25	c	c	NOUN
bibechana-11783	173	26	x	x	X
bibechana-11783	173	27	v	v	ADP
bibechana-11783	173	28	z	z	NOUN
bibechana-11783	173	29	g	g	NOUN
bibechana-11783	173	30	x	x	SYM
bibechana-11783	173	31	v	v	NOUN
bibechana-11783	173	32	c	c	NOUN
bibechana-11783	173	33	u	u	NOUN
bibechana-11783	173	34	z	z	NOUN
bibechana-11783	173	35	v	v	NOUN
bibechana-11783	173	36	c	c	NOUN
bibechana-11783	173	37	u	u	NOUN
bibechana-11783	173	38	x	x	PROPN
bibechana-11783	173	39	z	z	NOUN
bibechana-11783	173	40	z	z	NOUN
bibechana-11783	173	41	c	c	NOUN
bibechana-11783	173	42	u	u	NOUN
bibechana-11783	173	43	v	v	X
bibechana-11783	173	44	x	x	SYM
bibechana-11783	173	45	ξ	ξ	X
bibechana-11783	173	46	ξ	ξ	PROPN
bibechana-11783	173	47	α	α	PROPN
bibechana-11783	173	48	β	β	PROPN
bibechana-11783	173	49	η	η	PROPN
bibechana-11783	173	50	η	η	PROPN
bibechana-11783	173	51	η	η	PROPN
bibechana-11783	173	52	ξ	ξ	PROPN
bibechana-11783	173	53	η	η	PROPN
bibechana-11783	173	54	η	η	PROPN
bibechana-11783	173	55	η	η	PROPN
bibechana-11783	173	56	ξ	ξ	PROPN
bibechana-11783	173	57	η	η	PROPN
bibechana-11783	173	58	η	η	PROPN
bibechana-11783	173	59	η	η	PROPN
bibechana-11783	173	60	η	η	PROPN
bibechana-11783	173	61	=	=	PROPN
bibechana-11783	174	1	+	+	NUM
bibechana-11783	174	2	−	−	PROPN
bibechana-11783	174	3	−	−	NUM
bibechana-11783	175	1	−	−	NOUN
bibechana-11783	175	2	−	−	PROPN
bibechana-11783	176	1	+	+	CCONJ
bibechana-11783	176	2	−	−	PROPN
bibechana-11783	177	1	+	+	CCONJ
bibechana-11783	177	2	−	−	NOUN
bibechana-11783	177	3	putting	put	VERB
bibechana-11783	177	4	u	u	PRON
bibechana-11783	177	5	ξ=	ξ=	ADV
bibechana-11783	177	6	in	in	ADP
bibechana-11783	177	7	(	(	PUNCT
bibechana-11783	177	8	6.3	6.3	NUM
bibechana-11783	177	9	)	)	PUNCT
bibechana-11783	177	10	and	and	CCONJ
bibechana-11783	177	11	using	use	VERB
bibechana-11783	177	12	(	(	PUNCT
bibechana-11783	177	13	2.22	2.22	NUM
bibechana-11783	177	14	)	)	PUNCT
bibechana-11783	177	15	,	,	PUNCT
bibechana-11783	177	16	(	(	PUNCT
bibechana-11783	177	17	2.23	2.23	NUM
bibechana-11783	177	18	)	)	PUNCT
bibechana-11783	177	19	and	and	CCONJ
bibechana-11783	177	20	(	(	PUNCT
bibechana-11783	177	21	2.25	2.25	NUM
bibechana-11783	177	22	)	)	PUNCT
bibechana-11783	177	23	,	,	PUNCT
bibechana-11783	177	24	we	we	PRON
bibechana-11783	177	25	get	get	VERB
bibechana-11783	177	26	(	(	PUNCT
bibechana-11783	177	27	6.4	6.4	NUM
bibechana-11783	177	28	)	)	PUNCT
bibechana-11783	177	29	(	(	PUNCT
bibechana-11783	177	30	)	)	PUNCT
bibechana-11783	177	31	(	(	PUNCT
bibechana-11783	177	32	)	)	PUNCT
bibechana-11783	177	33	(	(	PUNCT
bibechana-11783	177	34	)	)	PUNCT
bibechana-11783	177	35	(	(	PUNCT
bibechana-11783	177	36	)	)	PUNCT
bibechana-11783	177	37	(	(	PUNCT
bibechana-11783	177	38	)	)	PUNCT
bibechana-11783	177	39	(	(	PUNCT
bibechana-11783	177	40	)	)	PUNCT
bibechana-11783	177	41	(	(	PUNCT
bibechana-11783	177	42	)	)	PUNCT
bibechana-11783	177	43	(	(	PUNCT
bibechana-11783	177	44	)	)	PUNCT
bibechana-11783	177	45	(	(	PUNCT
bibechana-11783	177	46	)	)	PUNCT
bibechana-11783	177	47	(	(	PUNCT
bibechana-11783	177	48	)	)	PUNCT
bibechana-11783	177	49	(	(	PUNCT
bibechana-11783	177	50	)	)	PUNCT
bibechana-11783	177	51	(	(	PUNCT
bibechana-11783	177	52	)	)	PUNCT
bibechana-11783	177	53	(	(	PUNCT
bibechana-11783	177	54	)	)	PUNCT
bibechana-11783	177	55	(	(	PUNCT
bibechana-11783	177	56	)	)	PUNCT
bibechana-11783	177	57	(	(	PUNCT
bibechana-11783	177	58	)	)	PUNCT
bibechana-11783	177	59	0	0	NUM
bibechana-11783	178	1	2	2	NUM
bibechana-11783	178	2	2	2	NUM
bibechana-11783	178	3	2	2	NUM
bibechana-11783	178	4	2	2	NUM
bibechana-11783	178	5	0	0	NUM
bibechana-11783	178	6	,	,	PUNCT
bibechana-11783	178	7	.	.	PUNCT
bibechana-11783	179	1	,	,	PUNCT
bibechana-11783	179	2	,	,	PUNCT
bibechana-11783	179	3	2	2	NUM
bibechana-11783	179	4	[	[	PUNCT
bibechana-11783	179	5	,	,	PUNCT
bibechana-11783	179	6	,	,	PUNCT
bibechana-11783	179	7	,	,	PUNCT
bibechana-11783	179	8	{	{	PUNCT
bibechana-11783	179	9	,	,	PUNCT
bibechana-11783	179	10	2	2	NUM
bibechana-11783	179	11	,	,	PUNCT
bibechana-11783	179	12	,	,	PUNCT
bibechana-11783	179	13	}	}	PUNCT
bibechana-11783	179	14	]	]	PUNCT
bibechana-11783	179	15	.	.	PUNCT
bibechana-11783	180	1	g	g	NOUN
bibechana-11783	180	2	r	r	NOUN
bibechana-11783	180	3	x	x	PUNCT
bibechana-11783	180	4	c	c	NOUN
bibechana-11783	180	5	v	v	NOUN
bibechana-11783	180	6	z	z	NOUN
bibechana-11783	180	7	g	g	NOUN
bibechana-11783	180	8	r	r	NOUN
bibechana-11783	180	9	v	v	NOUN
bibechana-11783	180	10	z	z	NOUN
bibechana-11783	180	11	x	x	SYM
bibechana-11783	180	12	r	r	NOUN
bibechana-11783	180	13	x	x	SYM
bibechana-11783	180	14	v	v	NOUN
bibechana-11783	180	15	z	z	NOUN
bibechana-11783	180	16	z	z	NOUN
bibechana-11783	180	17	g	g	NOUN
bibechana-11783	180	18	x	x	SYM
bibechana-11783	180	19	v	v	NOUN
bibechana-11783	180	20	x	x	SYM
bibechana-11783	180	21	g	g	NOUN
bibechana-11783	180	22	v	v	NUM
bibechana-11783	180	23	z	z	NOUN
bibechana-11783	180	24	v	v	NOUN
bibechana-11783	180	25	g	g	NOUN
bibechana-11783	180	26	x	x	X
bibechana-11783	180	27	z	z	NOUN
bibechana-11783	180	28	ξ	ξ	X
bibechana-11783	180	29	ξ	ξ	X
bibechana-11783	180	30	ξ	ξ	PROPN
bibechana-11783	180	31	α	α	PROPN
bibechana-11783	180	32	β	β	X
bibechana-11783	180	33	ξ	ξ	PROPN
bibechana-11783	180	34	η	η	PROPN
bibechana-11783	180	35	α	α	PROPN
bibechana-11783	180	36	β	β	PROPN
bibechana-11783	180	37	η	η	PROPN
bibechana-11783	180	38	η	η	PROPN
bibechana-11783	180	39	η	η	PROPN
bibechana-11783	180	40	=	=	PROPN
bibechana-11783	181	1	+	+	NUM
bibechana-11783	181	2	−	−	PROPN
bibechana-11783	182	1	−	−	PROPN
bibechana-11783	183	1	+	+	CCONJ
bibechana-11783	183	2	+	+	NUM
bibechana-11783	183	3	−	−	ADP
bibechana-11783	183	4	−	−	NOUN
bibechana-11783	184	1	+	+	CCONJ
bibechana-11783	184	2	this	this	PRON
bibechana-11783	184	3	implies	imply	VERB
bibechana-11783	184	4	that	that	SCONJ
bibechana-11783	184	5	(	(	PUNCT
bibechana-11783	184	6	6.5	6.5	NUM
bibechana-11783	184	7	)	)	PUNCT
bibechana-11783	184	8	(	(	PUNCT
bibechana-11783	184	9	)	)	PUNCT
bibechana-11783	184	10	(	(	PUNCT
bibechana-11783	184	11	)	)	PUNCT
bibechana-11783	184	12	(	(	PUNCT
bibechana-11783	184	13	)	)	PUNCT
bibechana-11783	184	14	(	(	PUNCT
bibechana-11783	184	15	)	)	PUNCT
bibechana-11783	184	16	(	(	PUNCT
bibechana-11783	184	17	)	)	PUNCT
bibechana-11783	184	18	(	(	PUNCT
bibechana-11783	184	19	)	)	PUNCT
bibechana-11783	184	20	(	(	PUNCT
bibechana-11783	184	21	)	)	PUNCT
bibechana-11783	184	22	(	(	PUNCT
bibechana-11783	184	23	)	)	PUNCT
bibechana-11783	184	24	(	(	PUNCT
bibechana-11783	184	25	)	)	PUNCT
bibechana-11783	184	26	(	(	PUNCT
bibechana-11783	184	27	)	)	PUNCT
bibechana-11783	184	28	0	0	NUM
bibechana-11783	184	29	2	2	NUM
bibechana-11783	184	30	2	2	NUM
bibechana-11783	184	31	2	2	NUM
bibechana-11783	184	32	2	2	NUM
bibechana-11783	184	33	,	,	PUNCT
bibechana-11783	184	34	.	.	PUNCT
bibechana-11783	185	1	,	,	PUNCT
bibechana-11783	185	2	2	2	X
bibechana-11783	185	3	[	[	PUNCT
bibechana-11783	185	4	{	{	PUNCT
bibechana-11783	185	5	2	2	NUM
bibechana-11783	185	6	,	,	PUNCT
bibechana-11783	185	7	,	,	PUNCT
bibechana-11783	185	8	,	,	PUNCT
bibechana-11783	185	9	}	}	PUNCT
bibechana-11783	185	10	,	,	PUNCT
bibechana-11783	185	11	,	,	PUNCT
bibechana-11783	185	12	,	,	PUNCT
bibechana-11783	185	13	]	]	PUNCT
bibechana-11783	185	14	.	.	PUNCT
bibechana-11783	186	1	r	r	NOUN
bibechana-11783	186	2	x	x	PUNCT
bibechana-11783	186	3	c	c	NOUN
bibechana-11783	186	4	v	v	NOUN
bibechana-11783	186	5	z	z	NOUN
bibechana-11783	186	6	g	g	NOUN
bibechana-11783	186	7	v	v	NOUN
bibechana-11783	186	8	z	z	NOUN
bibechana-11783	186	9	x	x	SYM
bibechana-11783	186	10	g	g	NOUN
bibechana-11783	186	11	x	x	SYM
bibechana-11783	186	12	v	v	ADP
bibechana-11783	186	13	z	z	NOUN
bibechana-11783	186	14	g	g	NOUN
bibechana-11783	186	15	x	x	PROPN
bibechana-11783	187	1	z	z	NOUN
bibechana-11783	187	2	v	v	NOUN
bibechana-11783	187	3	g	g	NOUN
bibechana-11783	187	4	r	r	NOUN
bibechana-11783	187	5	v	v	NOUN
bibechana-11783	187	6	z	z	NOUN
bibechana-11783	187	7	x	x	SYM
bibechana-11783	187	8	r	r	NOUN
bibechana-11783	187	9	x	x	SYM
bibechana-11783	187	10	v	v	NOUN
bibechana-11783	187	11	z	z	NOUN
bibechana-11783	187	12	ξ	ξ	X
bibechana-11783	187	13	ξ	ξ	X
bibechana-11783	187	14	α	α	NOUN
bibechana-11783	187	15	β	β	X
bibechana-11783	187	16	α	α	X
bibechana-11783	187	17	β	β	X
bibechana-11783	187	18	ξ	ξ	X
bibechana-11783	187	19	ξ	ξ	X
bibechana-11783	187	20	=	=	SYM
bibechana-11783	187	21	−	−	PROPN
bibechana-11783	187	22	−	−	PROPN
bibechana-11783	187	23	−	−	PROPN
bibechana-11783	187	24	−	−	PROPN
bibechana-11783	187	25	−	−	PROPN
bibechana-11783	187	26	−	−	NOUN
bibechana-11783	187	27	−	−	PROPN
bibechana-11783	187	28	from	from	ADP
bibechana-11783	187	29	this	this	PRON
bibechana-11783	187	30	it	it	PRON
bibechana-11783	187	31	follows	follow	VERB
bibechana-11783	187	32	that	that	SCONJ
bibechana-11783	187	33	the	the	DET
bibechana-11783	187	34	manifold	manifold	NOUN
bibechana-11783	187	35	is	be	AUX
bibechana-11783	187	36	contact	contact	NOUN
bibechana-11783	187	37	conformally	conformally	ADV
bibechana-11783	187	38	semi	semi	ADJ
bibechana-11783	187	39	-	-	ADJ
bibechana-11783	187	40	symmetric	symmetric	ADJ
bibechana-11783	187	41	if	if	SCONJ
bibechana-11783	187	42	the	the	DET
bibechana-11783	187	43	right	right	ADJ
bibechana-11783	187	44	hand	hand	NOUN
bibechana-11783	187	45	side	side	NOUN
bibechana-11783	187	46	of	of	ADP
bibechana-11783	187	47	(	(	PUNCT
bibechana-11783	187	48	6.5	6.5	NUM
bibechana-11783	187	49	)	)	PUNCT
bibechana-11783	187	50	vanishes	vanish	VERB
bibechana-11783	187	51	,	,	PUNCT
bibechana-11783	187	52	i.	i.	PROPN
bibechana-11783	187	53	e.	e.	PROPN
bibechana-11783	187	54	,	,	PUNCT
bibechana-11783	187	55	if	if	SCONJ
bibechana-11783	187	56	(	(	PUNCT
bibechana-11783	187	57	)	)	PUNCT
bibechana-11783	187	58	(	(	PUNCT
bibechana-11783	187	59	)	)	PUNCT
bibechana-11783	187	60	(	(	PUNCT
bibechana-11783	187	61	)	)	PUNCT
bibechana-11783	187	62	(	(	PUNCT
bibechana-11783	187	63	)	)	PUNCT
bibechana-11783	187	64	{	{	PUNCT
bibechana-11783	187	65	}	}	PUNCT
bibechana-11783	187	66	(	(	PUNCT
bibechana-11783	187	67	)	)	PUNCT
bibechana-11783	187	68	(	(	PUNCT
bibechana-11783	187	69	)	)	PUNCT
bibechana-11783	187	70	(	(	PUNCT
bibechana-11783	187	71	)	)	PUNCT
bibechana-11783	187	72	2	2	NUM
bibechana-11783	187	73	20	20	NUM
bibechana-11783	187	74	2	2	NUM
bibechana-11783	187	75	,	,	PUNCT
bibechana-11783	187	76	,	,	PUNCT
bibechana-11783	187	77	,	,	PUNCT
bibechana-11783	187	78	,	,	PUNCT
bibechana-11783	187	79	,	,	PUNCT
bibechana-11783	187	80	,	,	PUNCT
bibechana-11783	187	81	.	.	PUNCT
bibechana-11783	188	1	g	g	PROPN
bibechana-11783	188	2	v	v	NUM
bibechana-11783	188	3	z	z	NOUN
bibechana-11783	189	1	x	x	SYM
bibechana-11783	189	2	g	g	NOUN
bibechana-11783	189	3	x	x	SYM
bibechana-11783	189	4	v	v	ADP
bibechana-11783	189	5	z	z	NOUN
bibechana-11783	189	6	g	g	NOUN
bibechana-11783	189	7	x	x	PROPN
bibechana-11783	189	8	z	z	NOUN
bibechana-11783	189	9	v	v	NOUN
bibechana-11783	189	10	g	g	NOUN
bibechana-11783	189	11	r	r	NOUN
bibechana-11783	189	12	v	v	NOUN
bibechana-11783	189	13	z	z	NOUN
bibechana-11783	189	14	x	x	SYM
bibechana-11783	189	15	r	r	NOUN
bibechana-11783	189	16	x	x	SYM
bibechana-11783	189	17	v	v	NOUN
bibechana-11783	189	18	z	z	NOUN
bibechana-11783	189	19	α	α	NOUN
bibechana-11783	190	1	β	β	X
bibechana-11783	190	2	ξ	ξ	X
bibechana-11783	190	3	ξ	ξ	X
bibechana-11783	190	4	=	=	SYM
bibechana-11783	190	5	−	−	PROPN
bibechana-11783	190	6	−	−	PROPN
bibechana-11783	190	7	−	−	PROPN
bibechana-11783	191	1	−	−	PROPN
bibechana-11783	191	2	−	−	PROPN
bibechana-11783	191	3	this	this	PRON
bibechana-11783	191	4	completes	complete	VERB
bibechana-11783	191	5	the	the	DET
bibechana-11783	191	6	proof	proof	NOUN
bibechana-11783	191	7	of	of	ADP
bibechana-11783	191	8	the	the	DET
bibechana-11783	191	9	theorem	theorem	NOUN
bibechana-11783	191	10	.	.	PROPN
bibechana-11783	191	11	7	7	X
bibechana-11783	191	12	.	.	X
bibechana-11783	191	13	an	an	DET
bibechana-11783	191	14	example	example	NOUN
bibechana-11783	191	15	of	of	ADP
bibechana-11783	191	16	a	a	DET
bibechana-11783	191	17	3	3	NUM
bibechana-11783	191	18	-	-	PUNCT
bibechana-11783	191	19	dimensional	dimensional	ADJ
bibechana-11783	191	20	trans	trans	ADJ
bibechana-11783	191	21	-	-	ADJ
bibechana-11783	191	22	sasakian	sasakian	ADJ
bibechana-11783	191	23	manifold	manifold	NOUN
bibechana-11783	191	24	let	let	VERB
bibechana-11783	191	25	us	we	PRON
bibechana-11783	191	26	consider	consider	VERB
bibechana-11783	191	27	a	a	DET
bibechana-11783	191	28	3	3	NUM
bibechana-11783	191	29	-	-	PUNCT
bibechana-11783	191	30	dimensional	dimensional	ADJ
bibechana-11783	191	31	manifold	manifold	NOUN
bibechana-11783	191	32	(	(	PUNCT
bibechana-11783	191	33	)	)	PUNCT
bibechana-11783	191	34	(	(	PUNCT
bibechana-11783	191	35	)	)	PUNCT
bibechana-11783	191	36	{	{	PUNCT
bibechana-11783	191	37	}	}	PUNCT
bibechana-11783	191	38	3	3	NUM
bibechana-11783	191	39	,	,	PUNCT
bibechana-11783	191	40	,	,	PUNCT
bibechana-11783	191	41	:	:	PUNCT
bibechana-11783	191	42	,	,	PUNCT
bibechana-11783	191	43	,	,	PUNCT
bibechana-11783	191	44	,	,	PUNCT
bibechana-11783	191	45	0,m	0,m	INTJ
bibechana-11783	191	46	x	x	PUNCT
bibechana-11783	192	1	y	y	NOUN
bibechana-11783	192	2	z	z	NOUN
bibechana-11783	192	3	x	x	VERB
bibechana-11783	192	4	y	y	PROPN
bibechana-11783	192	5	z	z	NOUN
bibechana-11783	192	6	z=	z=	PUNCT
bibechana-11783	192	7	∈	∈	PROPN
bibechana-11783	192	8	≠ℝ	≠ℝ	NOUN
bibechana-11783	192	9	where	where	SCONJ
bibechana-11783	192	10	(	(	PUNCT
bibechana-11783	192	11	)	)	PUNCT
bibechana-11783	192	12	,	,	PUNCT
bibechana-11783	192	13	,	,	PUNCT
bibechana-11783	192	14	x	x	PROPN
bibechana-11783	192	15	y	y	PROPN
bibechana-11783	192	16	z	z	PROPN
bibechana-11783	192	17	are	be	AUX
bibechana-11783	192	18	the	the	DET
bibechana-11783	192	19	standard	standard	ADJ
bibechana-11783	192	20	coordinates	coordinate	NOUN
bibechana-11783	192	21	in	in	ADP
bibechana-11783	192	22	3.ℝ	3.ℝ	NUM
bibechana-11783	192	23	we	we	PRON
bibechana-11783	192	24	choose	choose	VERB
bibechana-11783	192	25	the	the	DET
bibechana-11783	192	26	vector	vector	NOUN
bibechana-11783	192	27	fields	field	NOUN
bibechana-11783	192	28	(	(	PUNCT
bibechana-11783	192	29	7.1	7.1	NUM
bibechana-11783	192	30	)	)	PUNCT
bibechana-11783	192	31	1	1	NUM
bibechana-11783	192	32	2	2	NUM
bibechana-11783	192	33	,	,	PUNCT
bibechana-11783	192	34	,	,	PUNCT
bibechana-11783	193	1	z	z	NOUN
bibechana-11783	193	2	ze	ze	X
bibechana-11783	193	3	e	e	X
bibechana-11783	193	4	y	y	NOUN
bibechana-11783	193	5	e	e	X
bibechana-11783	193	6	e	e	X
bibechana-11783	193	7	x	x	PROPN
bibechana-11783	193	8	z	z	PROPN
bibechana-11783	193	9	y	y	PROPN
bibechana-11783	193	10	∂	∂	NOUN
bibechana-11783	193	11	∂	∂	PUNCT
bibechana-11783	193	12	∂	∂	PROPN
bibechana-11783	193	13	=	=	X
bibechana-11783	194	1	+	+	PUNCT
bibechana-11783	194	2	=	=	NOUN
bibechana-11783	194	3			NOUN
bibechana-11783	194	4	∂	∂	X
bibechana-11783	194	5	∂	∂	NOUN
bibechana-11783	194	6	∂	∂	NOUN
bibechana-11783	194	7			PRON
bibechana-11783	194	8	3	3	NUM
bibechana-11783	194	9	,	,	PUNCT
bibechana-11783	194	10	e	e	PROPN
bibechana-11783	194	11	z	z	NOUN
bibechana-11783	194	12	∂	∂	NUM
bibechana-11783	194	13	=	=	SYM
bibechana-11783	194	14	∂	∂	NUM
bibechana-11783	194	15	which	which	PRON
bibechana-11783	194	16	are	be	AUX
bibechana-11783	194	17	linearly	linearly	ADV
bibechana-11783	194	18	independent	independent	ADJ
bibechana-11783	194	19	at	at	ADP
bibechana-11783	194	20	each	each	DET
bibechana-11783	194	21	point	point	NOUN
bibechana-11783	194	22	of	of	ADP
bibechana-11783	194	23	.m	.m	NOUN
bibechana-11783	194	24	now	now	ADV
bibechana-11783	194	25	we	we	PRON
bibechana-11783	194	26	define	define	VERB
bibechana-11783	194	27	a	a	DET
bibechana-11783	194	28	semi	semi	ADJ
bibechana-11783	194	29	-	-	ADJ
bibechana-11783	194	30	riemannian	riemannian	ADJ
bibechana-11783	194	31	metric	metric	ADJ
bibechana-11783	194	32	g	g	NOUN
bibechana-11783	194	33	on	on	ADP
bibechana-11783	194	34	m	m	NOUN
bibechana-11783	194	35	as	as	ADP
bibechana-11783	194	36	(	(	PUNCT
bibechana-11783	194	37	7.2	7.2	NUM
bibechana-11783	194	38	)	)	PUNCT
bibechana-11783	194	39	(	(	PUNCT
bibechana-11783	194	40	)	)	PUNCT
bibechana-11783	194	41	(	(	PUNCT
bibechana-11783	194	42	)	)	PUNCT
bibechana-11783	194	43	(	(	PUNCT
bibechana-11783	194	44	)	)	SYM
bibechana-11783	194	45	1	1	NUM
bibechana-11783	194	46	3	3	NUM
bibechana-11783	194	47	2	2	NUM
bibechana-11783	194	48	3	3	NUM
bibechana-11783	194	49	1	1	NUM
bibechana-11783	194	50	2	2	NUM
bibechana-11783	194	51	,	,	PUNCT
bibechana-11783	194	52	,	,	PUNCT
bibechana-11783	194	53	,	,	PUNCT
bibechana-11783	194	54	0,g	0,g	PROPN
bibechana-11783	194	55	e	e	PROPN
bibechana-11783	194	56	e	e	X
bibechana-11783	194	57	g	g	PROPN
bibechana-11783	194	58	e	e	X
bibechana-11783	194	59	e	e	X
bibechana-11783	194	60	g	g	PROPN
bibechana-11783	194	61	e	e	PROPN
bibechana-11783	194	62	e=	e=	X
bibechana-11783	194	63	=	=	PUNCT
bibechana-11783	195	1	=	=	X
bibechana-11783	195	2	(	(	PUNCT
bibechana-11783	195	3	7.3	7.3	NUM
bibechana-11783	195	4	)	)	PUNCT
bibechana-11783	195	5	(	(	PUNCT
bibechana-11783	195	6	)	)	PUNCT
bibechana-11783	195	7	(	(	PUNCT
bibechana-11783	195	8	)	)	PUNCT
bibechana-11783	195	9	(	(	PUNCT
bibechana-11783	195	10	)	)	SYM
bibechana-11783	195	11	1	1	NUM
bibechana-11783	195	12	1	1	NUM
bibechana-11783	195	13	2	2	NUM
bibechana-11783	195	14	2	2	NUM
bibechana-11783	195	15	3	3	NUM
bibechana-11783	195	16	3	3	NUM
bibechana-11783	195	17	,	,	PUNCT
bibechana-11783	195	18	,	,	PUNCT
bibechana-11783	195	19	,	,	PUNCT
bibechana-11783	195	20	1.g	1.g	NUM
bibechana-11783	195	21	e	e	NOUN
bibechana-11783	195	22	e	e	X
bibechana-11783	195	23	g	g	NOUN
bibechana-11783	195	24	e	e	X
bibechana-11783	195	25	e	e	X
bibechana-11783	195	26	g	g	PROPN
bibechana-11783	195	27	e	e	PROPN
bibechana-11783	195	28	e=	e=	NOUN
bibechana-11783	195	29	=	=	PUNCT
bibechana-11783	196	1	=	=	PUNCT
bibechana-11783	196	2	let	let	VERB
bibechana-11783	196	3	η	η	X
bibechana-11783	196	4	be	be	AUX
bibechana-11783	196	5	a	a	DET
bibechana-11783	196	6	1	1	NUM
bibechana-11783	196	7	-	-	PUNCT
bibechana-11783	196	8	form	form	NOUN
bibechana-11783	196	9	defined	define	VERB
bibechana-11783	196	10	by	by	ADP
bibechana-11783	196	11	(	(	PUNCT
bibechana-11783	196	12	)	)	PUNCT
bibechana-11783	196	13	(	(	PUNCT
bibechana-11783	196	14	)	)	PUNCT
bibechana-11783	196	15	3,z	3,z	PROPN
bibechana-11783	196	16	g	g	PROPN
bibechana-11783	196	17	z	z	NOUN
bibechana-11783	196	18	eη	eη	NOUN
bibechana-11783	196	19	=	=	PUNCT
bibechana-11783	196	20	for	for	SCONJ
bibechana-11783	196	21	any	any	DET
bibechana-11783	196	22	vector	vector	NOUN
bibechana-11783	196	23	field	field	NOUN
bibechana-11783	196	24	z	z	PROPN
bibechana-11783	196	25	m∈	m∈	PROPN
bibechana-11783	196	26	and	and	CCONJ
bibechana-11783	196	27	ϕ	ϕ	NOUN
bibechana-11783	196	28	be	be	AUX
bibechana-11783	196	29	a	a	DET
bibechana-11783	196	30	(	(	PUNCT
bibechana-11783	196	31	1	1	NUM
bibechana-11783	196	32	,	,	PUNCT
bibechana-11783	196	33	1	1	X
bibechana-11783	196	34	)	)	PUNCT
bibechana-11783	196	35	tensor	tensor	NOUN
bibechana-11783	196	36	field	field	NOUN
bibechana-11783	196	37	defined	define	VERB
bibechana-11783	196	38	by	by	ADP
bibechana-11783	196	39	shah	shah	PROPN
bibechana-11783	196	40	/	/	SYM
bibechana-11783	196	41	bibechana	bibechana	PROPN
bibechana-11783	196	42	12	12	NUM
bibechana-11783	196	43	(	(	PUNCT
bibechana-11783	196	44	2015	2015	NUM
bibechana-11783	196	45	)	)	PUNCT
bibechana-11783	196	46	80	80	NUM
bibechana-11783	196	47	-	-	SYM
bibechana-11783	196	48	88	88	NUM
bibechana-11783	196	49	:	:	PUNCT
bibechana-11783	196	50	p.	p.	NOUN
bibechana-11783	196	51	87	87	NUM
bibechana-11783	196	52	(	(	PUNCT
bibechana-11783	196	53	7.4	7.4	NUM
bibechana-11783	196	54	)	)	PUNCT
bibechana-11783	196	55	(	(	PUNCT
bibechana-11783	196	56	)	)	PUNCT
bibechana-11783	196	57	(	(	PUNCT
bibechana-11783	196	58	)	)	PUNCT
bibechana-11783	196	59	(	(	PUNCT
bibechana-11783	196	60	)	)	SYM
bibechana-11783	196	61	1	1	NUM
bibechana-11783	196	62	2	2	NUM
bibechana-11783	196	63	2	2	NUM
bibechana-11783	196	64	1	1	NUM
bibechana-11783	196	65	3	3	NUM
bibechana-11783	196	66	,	,	PUNCT
bibechana-11783	196	67	,	,	PUNCT
bibechana-11783	196	68	0.e	0.e	NUM
bibechana-11783	197	1	e	e	NOUN
bibechana-11783	197	2	e	e	X
bibechana-11783	197	3	e	e	X
bibechana-11783	197	4	eϕ	eϕ	PROPN
bibechana-11783	197	5	ϕ	ϕ	PROPN
bibechana-11783	197	6	ϕ=	ϕ=	NOUN
bibechana-11783	197	7	=	=	SYM
bibechana-11783	197	8	−	−	PROPN
bibechana-11783	198	1	=	=	PUNCT
bibechana-11783	198	2	the	the	DET
bibechana-11783	198	3	linearity	linearity	NOUN
bibechana-11783	198	4	property	property	NOUN
bibechana-11783	198	5	of	of	ADP
bibechana-11783	198	6	ϕ	ϕ	PROPN
bibechana-11783	198	7	and	and	CCONJ
bibechana-11783	198	8	g	g	NOUN
bibechana-11783	198	9	yields	yield	NOUN
bibechana-11783	198	10	that	that	PRON
bibechana-11783	198	11	(	(	PUNCT
bibechana-11783	198	12	7.5	7.5	NUM
bibechana-11783	198	13	)	)	PUNCT
bibechana-11783	198	14	(	(	PUNCT
bibechana-11783	198	15	)	)	PUNCT
bibechana-11783	198	16	(	(	PUNCT
bibechana-11783	198	17	)	)	PUNCT
bibechana-11783	198	18	(	(	PUNCT
bibechana-11783	198	19	)	)	PUNCT
bibechana-11783	198	20	(	(	PUNCT
bibechana-11783	198	21	)	)	PUNCT
bibechana-11783	198	22	(	(	PUNCT
bibechana-11783	198	23	)	)	PUNCT
bibechana-11783	198	24	(	(	PUNCT
bibechana-11783	198	25	)	)	PUNCT
bibechana-11783	198	26	(	(	PUNCT
bibechana-11783	198	27	)	)	SYM
bibechana-11783	198	28	2	2	NUM
bibechana-11783	198	29	3	3	NUM
bibechana-11783	198	30	31	31	NUM
bibechana-11783	198	31	,	,	PUNCT
bibechana-11783	198	32	,	,	PUNCT
bibechana-11783	198	33	,	,	PUNCT
bibechana-11783	198	34	,	,	PUNCT
bibechana-11783	198	35	e	e	PROPN
bibechana-11783	198	36	z	z	NOUN
bibechana-11783	198	37	z	z	NOUN
bibechana-11783	198	38	z	z	NOUN
bibechana-11783	198	39	e	e	NOUN
bibechana-11783	198	40	g	g	PROPN
bibechana-11783	198	41	z	z	PROPN
bibechana-11783	198	42	u	u	PROPN
bibechana-11783	198	43	g	g	PROPN
bibechana-11783	198	44	z	z	PROPN
bibechana-11783	198	45	u	u	PROPN
bibechana-11783	198	46	z	z	PROPN
bibechana-11783	198	47	uη	uη	ADP
bibechana-11783	198	48	ϕ	ϕ	PROPN
bibechana-11783	198	49	η	η	PROPN
bibechana-11783	198	50	ϕ	ϕ	PROPN
bibechana-11783	198	51	ϕ	ϕ	PROPN
bibechana-11783	198	52	η	η	X
bibechana-11783	198	53	η=	η=	NOUN
bibechana-11783	198	54	=	=	PUNCT
bibechana-11783	198	55	−	−	PROPN
bibechana-11783	199	1	+	+	NUM
bibechana-11783	199	2	=	=	SYM
bibechana-11783	199	3	−	−	PROPN
bibechana-11783	199	4	for	for	ADP
bibechana-11783	199	5	any	any	PRON
bibechana-11783	199	6	,	,	PUNCT
bibechana-11783	199	7	.z	.z	PUNCT
bibechana-11783	200	1	u	u	INTJ
bibechana-11783	200	2	m∈	m∈	PROPN
bibechana-11783	200	3	if	if	SCONJ
bibechana-11783	200	4	we	we	PRON
bibechana-11783	200	5	take	take	VERB
bibechana-11783	200	6	3e	3e	NOUN
bibechana-11783	200	7	ξ=	ξ=	ADV
bibechana-11783	200	8	in	in	ADP
bibechana-11783	200	9	(	(	PUNCT
bibechana-11783	200	10	7.5	7.5	NUM
bibechana-11783	200	11	)	)	PUNCT
bibechana-11783	200	12	,	,	PUNCT
bibechana-11783	200	13	(	(	PUNCT
bibechana-11783	200	14	)	)	PUNCT
bibechana-11783	200	15	,	,	PUNCT
bibechana-11783	200	16	,	,	PUNCT
bibechana-11783	200	17	,	,	PUNCT
bibechana-11783	200	18	gϕ	gϕ	PROPN
bibechana-11783	200	19	ξ	ξ	PROPN
bibechana-11783	200	20	η	η	PROPN
bibechana-11783	200	21	defines	define	VERB
bibechana-11783	200	22	an	an	DET
bibechana-11783	200	23	almost	almost	ADV
bibechana-11783	200	24	contact	contact	NOUN
bibechana-11783	200	25	metric	metric	ADJ
bibechana-11783	200	26	structure	structure	NOUN
bibechana-11783	200	27	on	on	ADP
bibechana-11783	200	28	.m	.m	NOUN
bibechana-11783	200	29	by	by	ADP
bibechana-11783	200	30	the	the	DET
bibechana-11783	200	31	definition	definition	NOUN
bibechana-11783	200	32	of	of	ADP
bibechana-11783	200	33	lie	lie	NOUN
bibechana-11783	200	34	bracket	bracket	NOUN
bibechana-11783	200	35	and	and	CCONJ
bibechana-11783	200	36	(	(	PUNCT
bibechana-11783	200	37	7.1	7.1	NUM
bibechana-11783	200	38	)	)	PUNCT
bibechana-11783	200	39	we	we	PRON
bibechana-11783	200	40	have	have	VERB
bibechana-11783	200	41	[	[	PUNCT
bibechana-11783	200	42	]	]	SYM
bibechana-11783	200	43	1	1	NUM
bibechana-11783	200	44	2	2	NUM
bibechana-11783	200	45	1	1	NUM
bibechana-11783	200	46	2	2	NUM
bibechana-11783	200	47	2	2	NUM
bibechana-11783	200	48	1	1	NUM
bibechana-11783	200	49	2	2	NUM
bibechana-11783	200	50	2	2	NUM
bibechana-11783	200	51	3	3	NUM
bibechana-11783	200	52	,	,	PUNCT
bibechana-11783	200	53	.	.	PUNCT
bibechana-11783	201	1	z	z	NOUN
bibechana-11783	201	2	z	z	NOUN
bibechana-11783	202	1	z	z	NOUN
bibechana-11783	202	2	z	z	NOUN
bibechana-11783	203	1	z	z	NOUN
bibechana-11783	203	2	z	z	NOUN
bibechana-11783	203	3	z	z	NOUN
bibechana-11783	203	4	e	e	NOUN
bibechana-11783	203	5	e	e	X
bibechana-11783	203	6	e	e	X
bibechana-11783	203	7	e	e	X
bibechana-11783	203	8	e	e	X
bibechana-11783	203	9	e	e	X
bibechana-11783	203	10	e	e	X
bibechana-11783	203	11	y	y	PROPN
bibechana-11783	203	12	e	e	X
bibechana-11783	203	13	e	e	X
bibechana-11783	203	14	e	e	X
bibechana-11783	203	15	ye	ye	NUM
bibechana-11783	203	16	x	x	X
bibechana-11783	203	17	z	z	VERB
bibechana-11783	203	18	y	y	NOUN
bibechana-11783	203	19	y	y	PROPN
bibechana-11783	203	20	x	x	PROPN
bibechana-11783	203	21	z	z	NOUN
bibechana-11783	203	22	ye	ye	NUM
bibechana-11783	203	23	e	e	NOUN
bibechana-11783	203	24	e	e	X
bibechana-11783	203	25	e	e	PROPN
bibechana-11783	203	26	∂	∂	NUM
bibechana-11783	203	27	∂	∂	NUM
bibechana-11783	203	28	∂	∂	NUM
bibechana-11783	203	29	∂	∂	NUM
bibechana-11783	203	30	∂	∂	NOUN
bibechana-11783	203	31	∂	∂	PROPN
bibechana-11783	203	32			PROPN
bibechana-11783	203	33			PROPN
bibechana-11783	203	34	=	=	ADP
bibechana-11783	203	35	−	−	PROPN
bibechana-11783	204	1	=	=	SYM
bibechana-11783	205	1	+	+	NUM
bibechana-11783	206	1	−	−	NOUN
bibechana-11783	206	2	+	+	ADJ
bibechana-11783	206	3			NOUN
bibechana-11783	206	4			NOUN
bibechana-11783	206	5			NOUN
bibechana-11783	206	6	∂	∂	X
bibechana-11783	206	7	∂	∂	NUM
bibechana-11783	206	8	∂	∂	NUM
bibechana-11783	206	9	∂	∂	NUM
bibechana-11783	206	10	∂	∂	NOUN
bibechana-11783	206	11	∂	∂	NOUN
bibechana-11783	206	12			PRON
bibechana-11783	206	13			NOUN
bibechana-11783	206	14			PUNCT
bibechana-11783	207	1	=	=	SYM
bibechana-11783	208	1	−	−	NOUN
bibechana-11783	208	2	proceeding	proceeding	NOUN
bibechana-11783	208	3	same	same	ADJ
bibechana-11783	208	4	way	way	NOUN
bibechana-11783	208	5	we	we	PRON
bibechana-11783	208	6	obtain	obtain	VERB
bibechana-11783	208	7	[	[	PUNCT
bibechana-11783	208	8	]	]	SYM
bibechana-11783	208	9	2	2	NUM
bibechana-11783	208	10	3	3	NUM
bibechana-11783	208	11	2,e	2,e	NUM
bibechana-11783	208	12	e	e	NOUN
bibechana-11783	208	13	e=	e=	X
bibechana-11783	208	14	−	−	PROPN
bibechana-11783	209	1	and	and	CCONJ
bibechana-11783	209	2	[	[	PUNCT
bibechana-11783	209	3	]	]	X
bibechana-11783	209	4	1	1	NUM
bibechana-11783	209	5	3	3	NUM
bibechana-11783	209	6	1	1	NUM
bibechana-11783	209	7	,	,	PUNCT
bibechana-11783	209	8	.e	.e	PUNCT
bibechana-11783	210	1	e	e	NOUN
bibechana-11783	210	2	e=	e=	NOUN
bibechana-11783	210	3	−	−	PROPN
bibechana-11783	211	1	thus	thus	ADV
bibechana-11783	211	2	we	we	PRON
bibechana-11783	211	3	have	have	VERB
bibechana-11783	211	4	(	(	PUNCT
bibechana-11783	211	5	7.6	7.6	NUM
bibechana-11783	211	6	)	)	PUNCT
bibechana-11783	211	7	[	[	PUNCT
bibechana-11783	211	8	]	]	X
bibechana-11783	211	9	[	[	PUNCT
bibechana-11783	211	10	]	]	X
bibechana-11783	211	11	[	[	PUNCT
bibechana-11783	211	12	]	]	X
bibechana-11783	211	13	2	2	NUM
bibechana-11783	211	14	1	1	NUM
bibechana-11783	211	15	2	2	NUM
bibechana-11783	211	16	2	2	NUM
bibechana-11783	211	17	3	3	NUM
bibechana-11783	211	18	2	2	NUM
bibechana-11783	211	19	3	3	NUM
bibechana-11783	211	20	2	2	NUM
bibechana-11783	211	21	1	1	NUM
bibechana-11783	211	22	3	3	NUM
bibechana-11783	211	23	1	1	NUM
bibechana-11783	211	24	,	,	PUNCT
bibechana-11783	211	25	,	,	PUNCT
bibechana-11783	211	26	,	,	PUNCT
bibechana-11783	211	27	,	,	PUNCT
bibechana-11783	211	28	,	,	PUNCT
bibechana-11783	211	29	.	.	PUNCT
bibechana-11783	212	1	z	z	PUNCT
bibechana-11783	212	2	ze	ze	PROPN
bibechana-11783	212	3	e	e	NOUN
bibechana-11783	212	4	ye	ye	NOUN
bibechana-11783	212	5	e	e	X
bibechana-11783	212	6	e	e	X
bibechana-11783	212	7	e	e	X
bibechana-11783	212	8	e	e	X
bibechana-11783	212	9	e	e	X
bibechana-11783	212	10	e	e	X
bibechana-11783	212	11	e	e	X
bibechana-11783	212	12	e	e	X
bibechana-11783	212	13	e=	e=	X
bibechana-11783	212	14	−	−	PROPN
bibechana-11783	212	15	=	=	SYM
bibechana-11783	212	16	−	−	PROPN
bibechana-11783	212	17	=	=	PUNCT
bibechana-11783	213	1	−	−	PROPN
bibechana-11783	213	2	let	let	VERB
bibechana-11783	213	3	∇	∇	PUNCT
bibechana-11783	213	4	be	be	AUX
bibechana-11783	213	5	the	the	DET
bibechana-11783	213	6	levi	levi	PROPN
bibechana-11783	213	7	-	-	PUNCT
bibechana-11783	213	8	civita	civita	NOUN
bibechana-11783	213	9	connection	connection	NOUN
bibechana-11783	213	10	with	with	ADP
bibechana-11783	213	11	respect	respect	NOUN
bibechana-11783	213	12	to	to	ADP
bibechana-11783	213	13	g	g	NOUN
bibechana-11783	213	14	then	then	ADV
bibechana-11783	213	15	we	we	PRON
bibechana-11783	213	16	have	have	VERB
bibechana-11783	213	17	the	the	DET
bibechana-11783	213	18	koszul	koszul	NOUN
bibechana-11783	213	19	's	's	PART
bibechana-11783	213	20	formula	formula	NOUN
bibechana-11783	213	21	(	(	PUNCT
bibechana-11783	213	22	7.7	7.7	NUM
bibechana-11783	213	23	)	)	PUNCT
bibechana-11783	213	24	(	(	PUNCT
bibechana-11783	213	25	)	)	PUNCT
bibechana-11783	213	26	(	(	PUNCT
bibechana-11783	213	27	)	)	PUNCT
bibechana-11783	213	28	(	(	PUNCT
bibechana-11783	213	29	)	)	PUNCT
bibechana-11783	213	30	(	(	PUNCT
bibechana-11783	213	31	)	)	PUNCT
bibechana-11783	214	1	[	[	PUNCT
bibechana-11783	214	2	]	]	X
bibechana-11783	214	3	(	(	PUNCT
bibechana-11783	214	4	)	)	PUNCT
bibechana-11783	214	5	[	[	PUNCT
bibechana-11783	214	6	]	]	X
bibechana-11783	214	7	(	(	PUNCT
bibechana-11783	214	8	)	)	PUNCT
bibechana-11783	214	9	[	[	PUNCT
bibechana-11783	214	10	]	]	X
bibechana-11783	214	11	(	(	PUNCT
bibechana-11783	214	12	)	)	PUNCT
bibechana-11783	214	13	2	2	NUM
bibechana-11783	214	14	,	,	PUNCT
bibechana-11783	214	15	,	,	PUNCT
bibechana-11783	214	16	,	,	PUNCT
bibechana-11783	214	17	,	,	PUNCT
bibechana-11783	214	18	,	,	PUNCT
bibechana-11783	214	19	,	,	PUNCT
bibechana-11783	214	20	,	,	PUNCT
bibechana-11783	214	21	,	,	PUNCT
bibechana-11783	214	22	,	,	PUNCT
bibechana-11783	214	23	,	,	PUNCT
bibechana-11783	214	24	.	.	PUNCT
bibechana-11783	215	1	xg	xg	PROPN
bibechana-11783	216	1	y	y	PROPN
bibechana-11783	216	2	z	z	PROPN
bibechana-11783	216	3	xg	xg	PROPN
bibechana-11783	217	1	y	y	PROPN
bibechana-11783	217	2	z	z	PROPN
bibechana-11783	217	3	yg	yg	PROPN
bibechana-11783	217	4	z	z	PROPN
bibechana-11783	217	5	x	x	PROPN
bibechana-11783	217	6	zg	zg	PROPN
bibechana-11783	217	7	x	x	PUNCT
bibechana-11783	217	8	y	y	PROPN
bibechana-11783	217	9	g	g	NOUN
bibechana-11783	217	10	x	x	VERB
bibechana-11783	217	11	y	y	PROPN
bibechana-11783	217	12	z	z	PROPN
bibechana-11783	217	13	g	g	PROPN
bibechana-11783	217	14	y	y	PROPN
bibechana-11783	217	15	z	z	NOUN
bibechana-11783	217	16	x	x	PROPN
bibechana-11783	218	1	g	g	PROPN
bibechana-11783	218	2	z	z	PROPN
bibechana-11783	218	3	x	x	SYM
bibechana-11783	218	4	y	y	NOUN
bibechana-11783	218	5	∇	∇	X
bibechana-11783	218	6	=	=	PUNCT
bibechana-11783	219	1	+	+	NUM
bibechana-11783	219	2	−	−	PROPN
bibechana-11783	220	1	+	+	CCONJ
bibechana-11783	220	2	−	−	PROPN
bibechana-11783	221	1	+	+	CCONJ
bibechana-11783	221	2	by	by	ADP
bibechana-11783	221	3	the	the	DET
bibechana-11783	221	4	use	use	NOUN
bibechana-11783	221	5	of	of	ADP
bibechana-11783	221	6	(	(	PUNCT
bibechana-11783	221	7	7.2	7.2	NUM
bibechana-11783	221	8	)	)	PUNCT
bibechana-11783	221	9	,	,	PUNCT
bibechana-11783	221	10	(	(	PUNCT
bibechana-11783	221	11	7.3	7.3	NUM
bibechana-11783	221	12	)	)	PUNCT
bibechana-11783	221	13	and	and	CCONJ
bibechana-11783	221	14	(	(	PUNCT
bibechana-11783	221	15	7.6	7.6	NUM
bibechana-11783	221	16	)	)	PUNCT
bibechana-11783	221	17	,	,	PUNCT
bibechana-11783	221	18	(	(	PUNCT
bibechana-11783	221	19	7.7	7.7	NUM
bibechana-11783	221	20	)	)	PUNCT
bibechana-11783	221	21	yields	yield	NOUN
bibechana-11783	221	22	(	(	PUNCT
bibechana-11783	221	23	7.8	7.8	NUM
bibechana-11783	221	24	)	)	PUNCT
bibechana-11783	221	25	1	1	NUM
bibechana-11783	221	26	1	1	NUM
bibechana-11783	221	27	1	1	NUM
bibechana-11783	221	28	2	2	NUM
bibechana-11783	221	29	2	2	NUM
bibechana-11783	221	30	2	2	NUM
bibechana-11783	221	31	3	3	NUM
bibechana-11783	221	32	3	3	NUM
bibechana-11783	221	33	3	3	NUM
bibechana-11783	221	34	2	2	NUM
bibechana-11783	221	35	2	2	NUM
bibechana-11783	221	36	3	3	NUM
bibechana-11783	221	37	1	1	NUM
bibechana-11783	221	38	2	2	NUM
bibechana-11783	221	39	2	2	NUM
bibechana-11783	221	40	3	3	NUM
bibechana-11783	221	41	1	1	NUM
bibechana-11783	221	42	3	3	NUM
bibechana-11783	221	43	2	2	NUM
bibechana-11783	221	44	2	2	NUM
bibechana-11783	221	45	3	3	NUM
bibechana-11783	221	46	2	2	NUM
bibechana-11783	221	47	1	1	NUM
bibechana-11783	221	48	2	2	NUM
bibechana-11783	221	49	3	3	NUM
bibechana-11783	221	50	1	1	NUM
bibechana-11783	221	51	1	1	NUM
bibechana-11783	221	52	2	2	NUM
bibechana-11783	221	53	3	3	NUM
bibechana-11783	221	54	2	2	NUM
bibechana-11783	221	55	2	2	NUM
bibechana-11783	221	56	3	3	NUM
bibechana-11783	221	57	2	2	NUM
bibechana-11783	221	58	1	1	NUM
bibechana-11783	221	59	1	1	NUM
bibechana-11783	221	60	2	2	NUM
bibechana-11783	221	61	1	1	NUM
bibechana-11783	221	62	1	1	NUM
bibechana-11783	221	63	,	,	PUNCT
bibechana-11783	221	64	,	,	PUNCT
bibechana-11783	221	65	,	,	PUNCT
bibechana-11783	221	66	2	2	NUM
bibechana-11783	221	67	2	2	NUM
bibechana-11783	221	68	1	1	NUM
bibechana-11783	221	69	1	1	NUM
bibechana-11783	221	70	,	,	PUNCT
bibechana-11783	221	71	,	,	PUNCT
bibechana-11783	221	72	,	,	PUNCT
bibechana-11783	221	73	2	2	NUM
bibechana-11783	221	74	2	2	NUM
bibechana-11783	221	75	1	1	NUM
bibechana-11783	221	76	1	1	NUM
bibechana-11783	221	77	0	0	NUM
bibechana-11783	221	78	,	,	PUNCT
bibechana-11783	221	79	,	,	PUNCT
bibechana-11783	221	80	,	,	PUNCT
bibechana-11783	221	81	2	2	NUM
bibechana-11783	221	82	2	2	NUM
bibechana-11783	221	83	z	z	NOUN
bibechana-11783	221	84	z	z	NOUN
bibechana-11783	221	85	z	z	NOUN
bibechana-11783	221	86	z	z	NOUN
bibechana-11783	221	87	z	z	NOUN
bibechana-11783	221	88	z	z	NOUN
bibechana-11783	221	89	z	z	NOUN
bibechana-11783	221	90	z	z	NOUN
bibechana-11783	221	91	e	e	NOUN
bibechana-11783	221	92	e	e	X
bibechana-11783	221	93	e	e	X
bibechana-11783	221	94	e	e	X
bibechana-11783	221	95	e	e	X
bibechana-11783	221	96	e	e	X
bibechana-11783	221	97	e	e	X
bibechana-11783	221	98	e	e	X
bibechana-11783	221	99	e	e	X
bibechana-11783	221	100	e	e	X
bibechana-11783	221	101	e	e	X
bibechana-11783	221	102	e	e	X
bibechana-11783	221	103	e	e	X
bibechana-11783	221	104	e	e	X
bibechana-11783	221	105	e	e	X
bibechana-11783	221	106	e	e	X
bibechana-11783	221	107	e	e	X
bibechana-11783	221	108	e	e	X
bibechana-11783	221	109	e	e	X
bibechana-11783	221	110	e	e	X
bibechana-11783	221	111	e	e	X
bibechana-11783	221	112	e	e	X
bibechana-11783	221	113	e	e	X
bibechana-11783	221	114	e	e	X
bibechana-11783	221	115	ye	ye	NUM
bibechana-11783	221	116	e	e	X
bibechana-11783	221	117	e	e	X
bibechana-11783	221	118	ye	ye	NOUN
bibechana-11783	221	119	e	e	X
bibechana-11783	221	120	e	e	X
bibechana-11783	221	121	e	e	X
bibechana-11783	221	122	e	e	X
bibechana-11783	221	123	e	e	X
bibechana-11783	221	124	e	e	X
bibechana-11783	221	125	e	e	X
bibechana-11783	221	126	e	e	X
bibechana-11783	221	127	e	e	X
bibechana-11783	221	128	e	e	X
bibechana-11783	221	129	∇	∇	PROPN
bibechana-11783	221	130	=	=	SYM
bibechana-11783	221	131	−	−	PROPN
bibechana-11783	221	132	+	+	NUM
bibechana-11783	221	133	∇	∇	X
bibechana-11783	221	134	=	=	SYM
bibechana-11783	221	135	∇	∇	X
bibechana-11783	221	136	=	=	SYM
bibechana-11783	221	137			X
bibechana-11783	221	138			ADJ
bibechana-11783	221	139			ADJ
bibechana-11783	221	140	∇	∇	X
bibechana-11783	221	141	=	=	PUNCT
bibechana-11783	221	142	−	−	PROPN
bibechana-11783	221	143	−	−	NOUN
bibechana-11783	221	144	∇	∇	X
bibechana-11783	221	145	=	=	SYM
bibechana-11783	221	146	+	+	NUM
bibechana-11783	221	147	∇	∇	X
bibechana-11783	221	148	=	=	PUNCT
bibechana-11783	221	149	−	−	X
bibechana-11783	222	1	+	+	NOUN
bibechana-11783	222	2			PRON
bibechana-11783	222	3			ADJ
bibechana-11783	222	4			ADJ
bibechana-11783	222	5	∇	∇	X
bibechana-11783	222	6	=	=	SYM
bibechana-11783	222	7	∇	∇	X
bibechana-11783	222	8	=	=	SYM
bibechana-11783	222	9	−	−	NOUN
bibechana-11783	222	10	∇	∇	X
bibechana-11783	222	11	=	=	NOUN
bibechana-11783	222	12			NOUN
bibechana-11783	222	13	in	in	ADP
bibechana-11783	222	14	view	view	NOUN
bibechana-11783	222	15	of	of	ADP
bibechana-11783	222	16	(	(	PUNCT
bibechana-11783	222	17	2.6	2.6	NUM
bibechana-11783	222	18	)	)	PUNCT
bibechana-11783	222	19	,	,	PUNCT
bibechana-11783	222	20	(	(	PUNCT
bibechana-11783	222	21	7.2	7.2	NUM
bibechana-11783	222	22	)	)	PUNCT
bibechana-11783	222	23	,	,	PUNCT
bibechana-11783	222	24	(	(	PUNCT
bibechana-11783	222	25	7.3	7.3	NUM
bibechana-11783	222	26	)	)	PUNCT
bibechana-11783	222	27	and	and	CCONJ
bibechana-11783	222	28	(	(	PUNCT
bibechana-11783	222	29	7.4	7.4	NUM
bibechana-11783	222	30	)	)	PUNCT
bibechana-11783	222	31	we	we	PRON
bibechana-11783	222	32	have	have	VERB
bibechana-11783	222	33	1	1	NUM
bibechana-11783	222	34	2	2	NUM
bibechana-11783	222	35	1	1	NUM
bibechana-11783	222	36	2	2	NUM
bibechana-11783	222	37	1	1	NUM
bibechana-11783	222	38	2	2	NUM
bibechana-11783	222	39	,	,	PUNCT
bibechana-11783	222	40	e	e	X
bibechana-11783	222	41	ee	ee	X
bibechana-11783	222	42	e	e	PROPN
bibechana-11783	222	43	e	e	X
bibechana-11783	222	44	eξ	eξ	X
bibechana-11783	222	45	β	β	PROPN
bibechana-11783	222	46	α	α	X
bibechana-11783	222	47	ξ	ξ	PROPN
bibechana-11783	222	48	α	α	X
bibechana-11783	222	49	β∇	β∇	PROPN
bibechana-11783	222	50	=	=	PUNCT
bibechana-11783	222	51	−	−	NOUN
bibechana-11783	222	52	∇	∇	X
bibechana-11783	222	53	=	=	SYM
bibechana-11783	222	54	+	+	PUNCT
bibechana-11783	222	55	and	and	CCONJ
bibechana-11783	222	56	3	3	NUM
bibechana-11783	222	57	0e	0e	NOUN
bibechana-11783	222	58	ξ∇	ξ∇	PROPN
bibechana-11783	223	1	=	=	PUNCT
bibechana-11783	224	1	for	for	ADP
bibechana-11783	224	2	3	3	NUM
bibechana-11783	224	3	.e	.e	NOUN
bibechana-11783	224	4	ξ=	ξ=	NOUN
bibechana-11783	224	5	comparing	compare	VERB
bibechana-11783	224	6	these	these	DET
bibechana-11783	224	7	equations	equation	NOUN
bibechana-11783	224	8	with	with	ADP
bibechana-11783	224	9	(	(	PUNCT
bibechana-11783	224	10	7.8	7.8	NUM
bibechana-11783	224	11	)	)	PUNCT
bibechana-11783	224	12	(	(	PUNCT
bibechana-11783	224	13	first	first	ADJ
bibechana-11783	224	14	column	column	NOUN
bibechana-11783	224	15	)	)	PUNCT
bibechana-11783	224	16	,	,	PUNCT
bibechana-11783	224	17	we	we	PRON
bibechana-11783	224	18	get	get	VERB
bibechana-11783	224	19	21	21	NUM
bibechana-11783	224	20	2	2	NUM
bibechana-11783	224	21	zeα	zeα	NOUN
bibechana-11783	224	22	=	=	SYM
bibechana-11783	224	23	−	−	PROPN
bibechana-11783	224	24	and	and	CCONJ
bibechana-11783	224	25	1.β	1.β	NUM
bibechana-11783	224	26	=	=	SYM
bibechana-11783	224	27	−	−	NOUN
bibechana-11783	225	1	again	again	ADV
bibechana-11783	225	2	,	,	PUNCT
bibechana-11783	225	3	by	by	ADP
bibechana-11783	225	4	virtue	virtue	NOUN
bibechana-11783	225	5	of	of	ADP
bibechana-11783	225	6	(	(	PUNCT
bibechana-11783	225	7	2.7	2.7	NUM
bibechana-11783	225	8	)	)	PUNCT
bibechana-11783	225	9	and	and	CCONJ
bibechana-11783	225	10	(	(	PUNCT
bibechana-11783	225	11	)	)	PUNCT
bibechana-11783	225	12	(	(	PUNCT
bibechana-11783	225	13	)	)	PUNCT
bibechana-11783	225	14	(	(	PUNCT
bibechana-11783	225	15	)	)	PUNCT
bibechana-11783	225	16	x	x	X
bibechana-11783	226	1	x	x	X
bibechana-11783	226	2	xy	xy	INTJ
bibechana-11783	226	3	y	y	PROPN
bibechana-11783	226	4	yη	yη	PROPN
bibechana-11783	226	5	η	η	PROPN
bibechana-11783	226	6	η∇	η∇	PROPN
bibechana-11783	226	7	=	=	PROPN
bibechana-11783	226	8	∇	∇	PROPN
bibechana-11783	226	9	−	−	NOUN
bibechana-11783	226	10	∇	∇	X
bibechana-11783	226	11	we	we	PRON
bibechana-11783	226	12	obtain	obtain	VERB
bibechana-11783	226	13	(	(	PUNCT
bibechana-11783	226	14	)	)	PUNCT
bibechana-11783	226	15	(	(	PUNCT
bibechana-11783	226	16	)	)	PUNCT
bibechana-11783	226	17	(	(	PUNCT
bibechana-11783	226	18	)	)	PUNCT
bibechana-11783	226	19	1	1	NUM
bibechana-11783	226	20	2	2	NUM
bibechana-11783	226	21	3	3	NUM
bibechana-11783	226	22	2	2	NUM
bibechana-11783	226	23	1	1	NUM
bibechana-11783	226	24	1	1	NUM
bibechana-11783	226	25	1	1	NUM
bibechana-11783	226	26	1	1	NUM
bibechana-11783	226	27	1	1	NUM
bibechana-11783	226	28	,	,	PUNCT
bibechana-11783	226	29	,	,	PUNCT
bibechana-11783	226	30	0	0	NUM
bibechana-11783	226	31	.	.	NOUN
bibechana-11783	226	32	2	2	NUM
bibechana-11783	226	33	z	z	NOUN
bibechana-11783	226	34	e	e	NOUN
bibechana-11783	226	35	e	e	X
bibechana-11783	226	36	ee	ee	X
bibechana-11783	226	37	e	e	X
bibechana-11783	226	38	e	e	PROPN
bibechana-11783	226	39	eη	eη	PROPN
bibechana-11783	226	40	β	β	PROPN
bibechana-11783	226	41	η	η	PROPN
bibechana-11783	226	42	α	α	PROPN
bibechana-11783	226	43	η∇	η∇	VERB
bibechana-11783	226	44	=	=	PUNCT
bibechana-11783	227	1	=	=	PUNCT
bibechana-11783	227	2	−	−	NOUN
bibechana-11783	227	3	∇	∇	X
bibechana-11783	227	4	=	=	SYM
bibechana-11783	227	5	=	=	SYM
bibechana-11783	227	6	−	−	NOUN
bibechana-11783	227	7	∇	∇	X
bibechana-11783	227	8	=	=	NOUN
bibechana-11783	227	9	=	=	X
bibechana-11783	227	10	thus	thus	ADV
bibechana-11783	227	11	from	from	ADP
bibechana-11783	227	12	above	above	ADP
bibechana-11783	227	13	calculation	calculation	NOUN
bibechana-11783	227	14	the	the	DET
bibechana-11783	227	15	conditions	condition	NOUN
bibechana-11783	227	16	(	(	PUNCT
bibechana-11783	227	17	2.6	2.6	NUM
bibechana-11783	227	18	)	)	PUNCT
bibechana-11783	227	19	and	and	CCONJ
bibechana-11783	227	20	(	(	PUNCT
bibechana-11783	227	21	2.7	2.7	NUM
bibechana-11783	227	22	)	)	PUNCT
bibechana-11783	227	23	are	be	AUX
bibechana-11783	227	24	satisfied	satisfied	ADJ
bibechana-11783	227	25	and	and	CCONJ
bibechana-11783	227	26	the	the	DET
bibechana-11783	227	27	structure	structure	NOUN
bibechana-11783	227	28	(	(	PUNCT
bibechana-11783	227	29	)	)	PUNCT
bibechana-11783	227	30	,	,	PUNCT
bibechana-11783	227	31	,	,	PUNCT
bibechana-11783	227	32	,	,	PUNCT
bibechana-11783	227	33	gϕ	gϕ	PROPN
bibechana-11783	227	34	ξ	ξ	PROPN
bibechana-11783	227	35	η	η	PROPN
bibechana-11783	227	36	is	be	AUX
bibechana-11783	227	37	a	a	DET
bibechana-11783	227	38	trans	trans	ADJ
bibechana-11783	227	39	-	-	ADJ
bibechana-11783	227	40	sasakian	sasakian	ADJ
bibechana-11783	227	41	structure	structure	NOUN
bibechana-11783	227	42	of	of	ADP
bibechana-11783	227	43	type	type	NOUN
bibechana-11783	227	44	(	(	PUNCT
bibechana-11783	227	45	)	)	PUNCT
bibechana-11783	227	46	,	,	PUNCT
bibechana-11783	227	47	α	α	X
bibechana-11783	227	48	β	β	X
bibechana-11783	227	49	where	where	SCONJ
bibechana-11783	227	50	21	21	NUM
bibechana-11783	227	51	2	2	NUM
bibechana-11783	227	52	zeα	zeα	NOUN
bibechana-11783	227	53	=	=	SYM
bibechana-11783	227	54	−	−	PROPN
bibechana-11783	227	55	and	and	CCONJ
bibechana-11783	227	56	1.β	1.β	NUM
bibechana-11783	227	57	=	=	SYM
bibechana-11783	227	58	−	−	NOUN
bibechana-11783	227	59	consequently	consequently	ADV
bibechana-11783	227	60	(	(	PUNCT
bibechana-11783	227	61	)	)	SYM
bibechana-11783	227	62	3	3	NUM
bibechana-11783	227	63	,	,	PUNCT
bibechana-11783	227	64	,	,	PUNCT
bibechana-11783	227	65	,	,	PUNCT
bibechana-11783	227	66	m	m	VERB
bibechana-11783	227	67	gϕ	gϕ	PROPN
bibechana-11783	227	68	ξ	ξ	PROPN
bibechana-11783	227	69	η	η	PROPN
bibechana-11783	227	70	is	be	AUX
bibechana-11783	227	71	a	a	DET
bibechana-11783	227	72	trans	trans	ADJ
bibechana-11783	227	73	-	-	ADJ
bibechana-11783	227	74	sasakian	sasakian	ADJ
bibechana-11783	227	75	manifold	manifold	NOUN
bibechana-11783	227	76	.	.	PUNCT
bibechana-11783	228	1	shah	shah	NOUN
bibechana-11783	228	2	/	/	SYM
bibechana-11783	228	3	bibechana	bibechana	PROPN
bibechana-11783	228	4	12	12	NUM
bibechana-11783	228	5	(	(	PUNCT
bibechana-11783	228	6	2015	2015	NUM
bibechana-11783	228	7	)	)	PUNCT
bibechana-11783	228	8	80	80	NUM
bibechana-11783	228	9	-	-	SYM
bibechana-11783	228	10	88	88	NUM
bibechana-11783	228	11	:	:	PUNCT
bibechana-11783	228	12	p.	p.	NOUN
bibechana-11783	228	13	88	88	NUM
bibechana-11783	228	14	references	reference	NOUN
bibechana-11783	228	15	[	[	X
bibechana-11783	228	16	1	1	NUM
bibechana-11783	228	17	]	]	PUNCT
bibechana-11783	228	18	a.	a.	NOUN
bibechana-11783	228	19	gray	gray	NOUN
bibechana-11783	228	20	,	,	PUNCT
bibechana-11783	228	21	and	and	CCONJ
bibechana-11783	228	22	l.	l.	PROPN
bibechana-11783	228	23	m.	m.	PROPN
bibechana-11783	228	24	harvella	harvella	PROPN
bibechana-11783	228	25	,	,	PUNCT
bibechana-11783	228	26	ann	ann	PROPN
bibechana-11783	228	27	.	.	PROPN
bibechana-11783	228	28	mat	mat	PROPN
bibechana-11783	228	29	.	.	PUNCT
bibechana-11783	228	30	pura	pura	PROPN
bibechana-11783	228	31	.	.	PUNCT
bibechana-11783	229	1	appl	appl	PROPN
bibechana-11783	229	2	.	.	PROPN
bibechana-11783	230	1	,	,	PUNCT
bibechana-11783	230	2	123(4)(1980	123(4)(1980	X
bibechana-11783	230	3	)	)	PUNCT
bibechana-11783	230	4	35	35	NUM
bibechana-11783	230	5	-	-	SYM
bibechana-11783	230	6	58	58	NUM
bibechana-11783	230	7	.	.	PUNCT
bibechana-11783	231	1	http://dx.doi.org/10.1007/bf01796539	http://dx.doi.org/10.1007/bf01796539	X
bibechana-11783	232	1	[	[	X
bibechana-11783	232	2	2	2	X
bibechana-11783	232	3	]	]	PUNCT
bibechana-11783	232	4	j.	j.	PROPN
bibechana-11783	232	5	a.	a.	PROPN
bibechana-11783	232	6	oubina	oubina	PROPN
bibechana-11783	232	7	,	,	PUNCT
bibechana-11783	232	8	publ	publ	PROPN
bibechana-11783	232	9	.	.	PUNCT
bibechana-11783	233	1	math	math	NOUN
bibechana-11783	233	2	.	.	PUNCT
bibechana-11783	234	1	debrecen	debrecen	PROPN
bibechana-11783	234	2	,	,	PUNCT
bibechana-11783	234	3	32(1985	32(1985	NUM
bibechana-11783	234	4	)	)	PUNCT
bibechana-11783	234	5	187	187	NUM
bibechana-11783	234	6	-	-	SYM
bibechana-11783	234	7	193	193	NUM
bibechana-11783	234	8	.	.	PUNCT
bibechana-11783	235	1	[	[	X
bibechana-11783	235	2	3	3	X
bibechana-11783	235	3	]	]	X
bibechana-11783	235	4	d.	d.	PROPN
bibechana-11783	235	5	e.	e.	PROPN
bibechana-11783	235	6	blair	blair	PROPN
bibechana-11783	235	7	,	,	PUNCT
bibechana-11783	235	8	contact	contact	NOUN
bibechana-11783	235	9	manifolds	manifold	NOUN
bibechana-11783	235	10	in	in	ADP
bibechana-11783	235	11	riemannian	riemannian	ADJ
bibechana-11783	235	12	geometry	geometry	NOUN
bibechana-11783	235	13	,	,	PUNCT
bibechana-11783	235	14	lecture	lecture	NOUN
bibechana-11783	235	15	notes	note	NOUN
bibechana-11783	235	16	in	in	ADP
bibechana-11783	235	17	math	math	NOUN
bibechana-11783	235	18	.	.	PUNCT
bibechana-11783	236	1	,	,	PUNCT
bibechana-11783	236	2	vol	vol	NOUN
bibechana-11783	236	3	.	.	PROPN
bibechana-11783	236	4	509	509	NUM
bibechana-11783	236	5	,	,	PUNCT
bibechana-11783	236	6	springer	springer	NOUN
bibechana-11783	236	7	-	-	PUNCT
bibechana-11783	236	8	verlag	verlag	PROPN
bibechana-11783	236	9	,	,	PUNCT
bibechana-11783	236	10	berlin	berlin	PROPN
bibechana-11783	236	11	,	,	PUNCT
bibechana-11783	236	12	(	(	PUNCT
bibechana-11783	236	13	1976	1976	NUM
bibechana-11783	236	14	)	)	PUNCT
bibechana-11783	236	15	.	.	PUNCT
bibechana-11783	237	1	[	[	X
bibechana-11783	237	2	4	4	X
bibechana-11783	237	3	]	]	X
bibechana-11783	237	4	d.	d.	PROPN
bibechana-11783	237	5	e.	e.	PROPN
bibechana-11783	237	6	blair	blair	PROPN
bibechana-11783	237	7	,	,	PUNCT
bibechana-11783	237	8	riemannian	riemannian	ADJ
bibechana-11783	237	9	geometry	geometry	NOUN
bibechana-11783	237	10	of	of	ADP
bibechana-11783	237	11	contact	contact	NOUN
bibechana-11783	237	12	and	and	CCONJ
bibechana-11783	237	13	sympletic	sympletic	ADJ
bibechana-11783	237	14	manifolds	manifold	NOUN
bibechana-11783	237	15	,	,	PUNCT
bibechana-11783	237	16	birkhauser	birkhauser	NOUN
bibechana-11783	237	17	boston	boston	PROPN
bibechana-11783	237	18	,	,	PUNCT
bibechana-11783	237	19	2002	2002	NUM
bibechana-11783	237	20	.	.	PUNCT
bibechana-11783	237	21	http://dx.doi.org/10.1007/978-1-4757-3604-5	http://dx.doi.org/10.1007/978-1-4757-3604-5	PUNCT
bibechana-11783	238	1	[	[	X
bibechana-11783	238	2	5	5	X
bibechana-11783	238	3	]	]	PUNCT
bibechana-11783	238	4	k.	k.	NOUN
bibechana-11783	238	5	kenmotsu	kenmotsu	PROPN
bibechana-11783	238	6	,	,	PUNCT
bibechana-11783	238	7	tohoku	tohoku	PROPN
bibechana-11783	238	8	math	math	PROPN
bibechana-11783	238	9	.	.	PUNCT
bibechana-11783	239	1	j.	j.	PROPN
bibechana-11783	239	2	,	,	PUNCT
bibechana-11783	239	3	24(1972	24(1972	PROPN
bibechana-11783	239	4	)	)	PUNCT
bibechana-11783	239	5	93	93	NUM
bibechana-11783	239	6	-	-	SYM
bibechana-11783	239	7	103	103	NUM
bibechana-11783	239	8	.	.	PUNCT
bibechana-11783	240	1	[	[	X
bibechana-11783	240	2	6	6	NUM
bibechana-11783	240	3	]	]	X
bibechana-11783	240	4	u.	u.	PROPN
bibechana-11783	240	5	c.	c.	PROPN
bibechana-11783	240	6	de	de	PROPN
bibechana-11783	240	7	and	and	CCONJ
bibechana-11783	240	8	m.	m.	PROPN
bibechana-11783	240	9	m.	m.	PROPN
bibechana-11783	240	10	tripathi	tripathi	PROPN
bibechana-11783	240	11	,	,	PUNCT
bibechana-11783	240	12	kyungpook	kyungpook	PROPN
bibechana-11783	240	13	math	math	NOUN
bibechana-11783	240	14	.	.	PUNCT
bibechana-11783	241	1	j.	j.	PROPN
bibechana-11783	241	2	,	,	PUNCT
bibechana-11783	241	3	43(2003	43(2003	PROPN
bibechana-11783	241	4	)	)	PUNCT
bibechana-11783	241	5	247	247	NUM
bibechana-11783	241	6	-	-	SYM
bibechana-11783	241	7	255	255	NUM
bibechana-11783	241	8	.	.	PUNCT
bibechana-11783	241	9	http://dx.doi.org/10.2748/tmj/1178241594	http://dx.doi.org/10.2748/tmj/1178241594	PUNCT
bibechana-11783	242	1	[	[	X
bibechana-11783	242	2	7	7	X
bibechana-11783	242	3	]	]	X
bibechana-11783	242	4	r.	r.	PROPN
bibechana-11783	242	5	j.	j.	PROPN
bibechana-11783	242	6	shah	shah	PROPN
bibechana-11783	242	7	,	,	PUNCT
bibechana-11783	242	8	kathmandu	kathmandu	PROPN
bibechana-11783	242	9	univ	univ	PROPN
bibechana-11783	242	10	.	.	PUNCT
bibechana-11783	243	1	j.	j.	PROPN
bibechana-11783	243	2	of	of	ADP
bibechana-11783	243	3	sci	sci	PROPN
bibechana-11783	243	4	.	.	PROPN
bibechana-11783	243	5	,	,	PUNCT
bibechana-11783	243	6	eng	eng	PROPN
bibechana-11783	243	7	.	.	PROPN
bibechana-11783	243	8	and	and	CCONJ
bibechana-11783	243	9	tech	tech	NOUN
bibechana-11783	243	10	.	.	PUNCT
bibechana-11783	243	11	,	,	PUNCT
bibechana-11783	243	12	8(1)(2012	8(1)(2012	NUM
bibechana-11783	243	13	)	)	PUNCT
bibechana-11783	243	14	81	81	NUM
bibechana-11783	243	15	-	-	SYM
bibechana-11783	243	16	87	87	NUM
bibechana-11783	243	17	.	.	PUNCT
bibechana-11783	244	1	[	[	X
bibechana-11783	244	2	8	8	X
bibechana-11783	244	3	]	]	X
bibechana-11783	244	4	j.	j.	PROPN
bibechana-11783	244	5	c.	c.	PROPN
bibechana-11783	244	6	jeong	jeong	PROPN
bibechana-11783	244	7	,	,	PUNCT
bibechana-11783	244	8	j.	j.	PROPN
bibechana-11783	244	9	d.	d.	PROPN
bibechana-11783	244	10	lee	lee	PROPN
bibechana-11783	244	11	,	,	PUNCT
bibechana-11783	244	12	g.	g.	PROPN
bibechana-11783	244	13	h.	h.	PROPN
bibechana-11783	245	1	oh	oh	INTJ
bibechana-11783	245	2	.	.	PUNCT
bibechana-11783	246	1	and	and	CCONJ
bibechana-11783	246	2	j.	j.	PROPN
bibechana-11783	246	3	s.	s.	PROPN
bibechana-11783	246	4	pak	pak	PROPN
bibechana-11783	246	5	,	,	PUNCT
bibechana-11783	246	6	bull	bull	NOUN
bibechana-11783	246	7	.	.	PUNCT
bibechana-11783	247	1	korean	korean	ADJ
bibechana-11783	247	2	math	math	PROPN
bibechana-11783	247	3	.	.	PUNCT
bibechana-11783	248	1	soc	soc	PROPN
bibechana-11783	248	2	.	.	PUNCT
bibechana-11783	248	3	,	,	PUNCT
bibechana-11783	248	4	27(1990	27(1990	NUM
bibechana-11783	248	5	)	)	PUNCT
bibechana-11783	248	6	133	133	NUM
bibechana-11783	248	7	-	-	SYM
bibechana-11783	248	8	142	142	NUM
bibechana-11783	248	9	.	.	PUNCT
bibechana-11783	249	1	[	[	X
bibechana-11783	249	2	9	9	NUM
bibechana-11783	249	3	]	]	X
bibechana-11783	249	4	h.	h.	PROPN
bibechana-11783	249	5	kitahara	kitahara	PROPN
bibechana-11783	249	6	,	,	PUNCT
bibechana-11783	249	7	k.	k.	PROPN
bibechana-11783	249	8	matsuo	matsuo	PROPN
bibechana-11783	249	9	and	and	CCONJ
bibechana-11783	249	10	j.	j.	PROPN
bibechana-11783	249	11	s.	s.	PROPN
bibechana-11783	249	12	pak	pak	PROPN
bibechana-11783	249	13	,	,	PUNCT
bibechana-11783	249	14	bull	bull	NOUN
bibechana-11783	249	15	.	.	PUNCT
bibechana-11783	250	1	korean	korean	ADJ
bibechana-11783	250	2	math	math	PROPN
bibechana-11783	250	3	.	.	PUNCT
bibechana-11783	251	1	soc	soc	PROPN
bibechana-11783	251	2	.	.	PUNCT
bibechana-11783	251	3	,	,	PUNCT
bibechana-11783	251	4	27(1990	27(1990	NUM
bibechana-11783	251	5	)	)	PUNCT
bibechana-11783	251	6	27	27	NUM
bibechana-11783	251	7	-	-	SYM
bibechana-11783	251	8	30	30	NUM
bibechana-11783	251	9	.	.	PUNCT
bibechana-11783	252	1	[	[	X
bibechana-11783	252	2	10	10	NUM
bibechana-11783	252	3	]	]	X
bibechana-11783	252	4	j.	j.	PROPN
bibechana-11783	252	5	c.	c.	PROPN
bibechana-11783	252	6	jeong	jeong	PROPN
bibechana-11783	252	7	and	and	CCONJ
bibechana-11783	252	8	j.	j.	PROPN
bibechana-11783	252	9	k.	k.	PROPN
bibechana-11783	252	10	park	park	PROPN
bibechana-11783	252	11	,	,	PUNCT
bibechana-11783	252	12	comm	comm	NOUN
bibechana-11783	252	13	.	.	PUNCT
bibechana-11783	253	1	korean	korean	ADJ
bibechana-11783	253	2	math	math	PROPN
bibechana-11783	253	3	.	.	PUNCT
bibechana-11783	254	1	soc	soc	PROPN
bibechana-11783	254	2	.	.	PUNCT
bibechana-11783	254	3	,	,	PUNCT
bibechana-11783	254	4	8(1993	8(1993	NUM
bibechana-11783	254	5	)	)	PUNCT
bibechana-11783	254	6	689	689	NUM
bibechana-11783	254	7	-	-	SYM
bibechana-11783	254	8	697	697	NUM
bibechana-11783	254	9	.	.	PUNCT
bibechana-11783	255	1	[	[	X
bibechana-11783	255	2	11	11	NUM
bibechana-11783	255	3	]	]	PUNCT
bibechana-11783	255	4	j.	j.	PROPN
bibechana-11783	255	5	s.	s.	PROPN
bibechana-11783	255	6	pak	pak	PROPN
bibechana-11783	255	7	,	,	PUNCT
bibechana-11783	255	8	j.	j.	PROPN
bibechana-11783	255	9	c.	c.	PROPN
bibechana-11783	255	10	jeong	jeong	PROPN
bibechana-11783	255	11	and	and	CCONJ
bibechana-11783	255	12	w.	w.	PROPN
bibechana-11783	255	13	t.	t.	PROPN
bibechana-11783	255	14	kim	kim	PROPN
bibechana-11783	255	15	,	,	PUNCT
bibechana-11783	255	16	j.	j.	PROPN
bibechana-11783	255	17	korean	korean	PROPN
bibechana-11783	255	18	math	math	PROPN
bibechana-11783	255	19	.	.	PUNCT
bibechana-11783	256	1	soc	soc	PROPN
bibechana-11783	256	2	.	.	PUNCT
bibechana-11783	257	1	28(1991	28(1991	NUM
bibechana-11783	257	2	)	)	PUNCT
bibechana-11783	258	1	267	267	NUM
bibechana-11783	258	2	-	-	SYM
bibechana-11783	258	3	274	274	NUM
bibechana-11783	258	4	.	.	PUNCT