id	sid	tid	token	lemma	pos
ejpam-3261	1	1	european	european	PROPN
ejpam-3261	1	2	journal	journal	PROPN
ejpam-3261	1	3	of	of	ADP
ejpam-3261	1	4	pure	pure	ADJ
ejpam-3261	1	5	and	and	CCONJ
ejpam-3261	1	6	applied	apply	VERB
ejpam-3261	1	7	mathematics	mathematic	NOUN
ejpam-3261	1	8	vol	vol	NOUN
ejpam-3261	1	9	.	.	PUNCT
ejpam-3261	2	1	11	11	NUM
ejpam-3261	2	2	,	,	PUNCT
ejpam-3261	2	3	no	no	INTJ
ejpam-3261	2	4	.	.	NOUN
ejpam-3261	2	5	3	3	NUM
ejpam-3261	2	6	,	,	PUNCT
ejpam-3261	2	7	2018	2018	NUM
ejpam-3261	2	8	,	,	PUNCT
ejpam-3261	2	9	671	671	NUM
ejpam-3261	2	10	-	-	SYM
ejpam-3261	2	11	681	681	NUM
ejpam-3261	2	12	issn	issn	PROPN
ejpam-3261	2	13	1307	1307	NUM
ejpam-3261	2	14	-	-	SYM
ejpam-3261	2	15	5543	5543	NUM
ejpam-3261	2	16	–	–	PUNCT
ejpam-3261	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-3261	2	18	published	publish	VERB
ejpam-3261	2	19	by	by	ADP
ejpam-3261	2	20	new	new	PROPN
ejpam-3261	2	21	york	york	PROPN
ejpam-3261	2	22	business	business	PROPN
ejpam-3261	2	23	global	global	PROPN
ejpam-3261	2	24	locally	locally	ADV
ejpam-3261	2	25	conformal	conformal	ADJ
ejpam-3261	2	26	almost	almost	ADV
ejpam-3261	2	27	cosymplectic	cosymplectic	ADJ
ejpam-3261	2	28	manifold	manifold	ADJ
ejpam-3261	2	29	of	of	ADP
ejpam-3261	2	30	φ	φ	PROPN
ejpam-3261	2	31	-	-	PUNCT
ejpam-3261	2	32	holomorphic	holomorphic	ADJ
ejpam-3261	2	33	sectional	sectional	ADJ
ejpam-3261	2	34	conharmonic	conharmonic	NOUN
ejpam-3261	2	35	curvature	curvature	NOUN
ejpam-3261	2	36	tensor	tensor	NOUN
ejpam-3261	2	37	habeeb	habeeb	PROPN
ejpam-3261	2	38	m.	m.	PROPN
ejpam-3261	2	39	abood1	abood1	PROPN
ejpam-3261	2	40	,	,	PUNCT
ejpam-3261	2	41	farah	farah	PROPN
ejpam-3261	2	42	hassan	hassan	PROPN
ejpam-3261	2	43	j.	j.	PROPN
ejpam-3261	2	44	al	al	PROPN
ejpam-3261	2	45	-	-	PUNCT
ejpam-3261	2	46	hussaini1,∗	hussaini1,∗	PROPN
ejpam-3261	2	47	1	1	NUM
ejpam-3261	2	48	department	department	NOUN
ejpam-3261	2	49	of	of	ADP
ejpam-3261	2	50	mathematics	mathematic	NOUN
ejpam-3261	2	51	,	,	PUNCT
ejpam-3261	2	52	college	college	NOUN
ejpam-3261	2	53	of	of	ADP
ejpam-3261	2	54	education	education	NOUN
ejpam-3261	2	55	for	for	ADP
ejpam-3261	2	56	pure	pure	ADJ
ejpam-3261	2	57	sciences	science	NOUN
ejpam-3261	2	58	,	,	PUNCT
ejpam-3261	2	59	university	university	NOUN
ejpam-3261	2	60	of	of	ADP
ejpam-3261	2	61	basrah	basrah	PROPN
ejpam-3261	2	62	,	,	PUNCT
ejpam-3261	2	63	basrah	basrah	PROPN
ejpam-3261	2	64	,	,	PUNCT
ejpam-3261	2	65	iraq	iraq	PROPN
ejpam-3261	2	66	abstract	abstract	NOUN
ejpam-3261	2	67	.	.	PUNCT
ejpam-3261	3	1	the	the	DET
ejpam-3261	3	2	aim	aim	NOUN
ejpam-3261	3	3	of	of	ADP
ejpam-3261	3	4	the	the	DET
ejpam-3261	3	5	present	present	ADJ
ejpam-3261	3	6	paper	paper	NOUN
ejpam-3261	3	7	is	be	AUX
ejpam-3261	3	8	to	to	PART
ejpam-3261	3	9	study	study	VERB
ejpam-3261	3	10	the	the	DET
ejpam-3261	3	11	geometry	geometry	NOUN
ejpam-3261	3	12	of	of	ADP
ejpam-3261	3	13	locally	locally	ADV
ejpam-3261	3	14	conformal	conformal	ADJ
ejpam-3261	3	15	almost	almost	ADV
ejpam-3261	3	16	cosymplectic	cosymplectic	ADJ
ejpam-3261	3	17	manifold	manifold	ADJ
ejpam-3261	3	18	of	of	ADP
ejpam-3261	3	19	φ	φ	PROPN
ejpam-3261	3	20	-	-	PUNCT
ejpam-3261	3	21	holomorphic	holomorphic	ADJ
ejpam-3261	3	22	sectional	sectional	ADJ
ejpam-3261	3	23	conharmonic	conharmonic	ADJ
ejpam-3261	3	24	curvature	curvature	NOUN
ejpam-3261	3	25	tensor	tensor	NOUN
ejpam-3261	3	26	.	.	PUNCT
ejpam-3261	4	1	in	in	ADP
ejpam-3261	4	2	particular	particular	ADJ
ejpam-3261	4	3	,	,	PUNCT
ejpam-3261	4	4	the	the	DET
ejpam-3261	4	5	necessary	necessary	ADJ
ejpam-3261	4	6	and	and	CCONJ
ejpam-3261	4	7	sufficient	sufficient	ADJ
ejpam-3261	4	8	conditions	condition	NOUN
ejpam-3261	4	9	that	that	PRON
ejpam-3261	4	10	locally	locally	ADV
ejpam-3261	4	11	conformal	conformal	VERB
ejpam-3261	4	12	almost	almost	ADV
ejpam-3261	4	13	cosymplectic	cosymplectic	ADJ
ejpam-3261	4	14	manifold	manifold	ADJ
ejpam-3261	4	15	is	be	AUX
ejpam-3261	4	16	a	a	DET
ejpam-3261	4	17	manifold	manifold	NOUN
ejpam-3261	4	18	of	of	ADP
ejpam-3261	4	19	point	point	NOUN
ejpam-3261	4	20	constant	constant	ADJ
ejpam-3261	4	21	φ	φ	ADJ
ejpam-3261	4	22	-	-	PUNCT
ejpam-3261	4	23	holomorphic	holomorphic	ADJ
ejpam-3261	4	24	sectional	sectional	ADJ
ejpam-3261	4	25	conharmonic	conharmonic	NOUN
ejpam-3261	4	26	curvature	curvature	NOUN
ejpam-3261	4	27	tensor	tensor	NOUN
ejpam-3261	4	28	have	have	AUX
ejpam-3261	4	29	been	be	AUX
ejpam-3261	4	30	found	find	VERB
ejpam-3261	4	31	.	.	PUNCT
ejpam-3261	5	1	the	the	DET
ejpam-3261	5	2	relation	relation	NOUN
ejpam-3261	5	3	between	between	ADP
ejpam-3261	5	4	the	the	DET
ejpam-3261	5	5	mentioned	mention	VERB
ejpam-3261	5	6	manifold	manifold	NOUN
ejpam-3261	5	7	and	and	CCONJ
ejpam-3261	5	8	the	the	DET
ejpam-3261	5	9	einstein	einstein	PROPN
ejpam-3261	5	10	manifold	manifold	NOUN
ejpam-3261	5	11	is	be	AUX
ejpam-3261	5	12	determined	determine	VERB
ejpam-3261	5	13	.	.	PUNCT
ejpam-3261	6	1	2010	2010	NUM
ejpam-3261	6	2	mathematics	mathematic	NOUN
ejpam-3261	6	3	subject	subject	NOUN
ejpam-3261	6	4	classifications	classification	NOUN
ejpam-3261	6	5	:	:	PUNCT
ejpam-3261	6	6	53c55	53c55	NUM
ejpam-3261	6	7	,	,	PUNCT
ejpam-3261	6	8	53b35	53b35	NUM
ejpam-3261	6	9	key	key	ADJ
ejpam-3261	6	10	words	word	NOUN
ejpam-3261	6	11	and	and	CCONJ
ejpam-3261	6	12	phrases	phrase	NOUN
ejpam-3261	6	13	:	:	PUNCT
ejpam-3261	6	14	locally	locally	ADV
ejpam-3261	6	15	conformal	conformal	ADJ
ejpam-3261	6	16	almost	almost	ADV
ejpam-3261	6	17	cosymplectic	cosymplectic	ADJ
ejpam-3261	6	18	manifold	manifold	ADJ
ejpam-3261	6	19	,	,	PUNCT
ejpam-3261	6	20	conharmonic	conharmonic	ADJ
ejpam-3261	6	21	curvature	curvature	NOUN
ejpam-3261	6	22	tensor	tensor	NOUN
ejpam-3261	6	23	,	,	PUNCT
ejpam-3261	6	24	φ	φ	PROPN
ejpam-3261	6	25	-	-	PUNCT
ejpam-3261	6	26	holomorphic	holomorphic	ADJ
ejpam-3261	6	27	sectional	sectional	ADJ
ejpam-3261	6	28	conharmonic	conharmonic	ADJ
ejpam-3261	6	29	curvature	curvature	NOUN
ejpam-3261	6	30	tensor	tensor	NOUN
ejpam-3261	6	31	,	,	PUNCT
ejpam-3261	6	32	einstein	einstein	PROPN
ejpam-3261	6	33	manifold	manifold	PROPN
ejpam-3261	6	34	.	.	PUNCT
ejpam-3261	7	1	1	1	X
ejpam-3261	7	2	.	.	X
ejpam-3261	7	3	introduction	introduction	NOUN
ejpam-3261	7	4	sectional	sectional	ADJ
ejpam-3261	7	5	curvature	curvature	NOUN
ejpam-3261	7	6	provides	provide	VERB
ejpam-3261	7	7	a	a	DET
ejpam-3261	7	8	lot	lot	NOUN
ejpam-3261	7	9	of	of	ADP
ejpam-3261	7	10	information	information	NOUN
ejpam-3261	7	11	with	with	ADP
ejpam-3261	7	12	regard	regard	NOUN
ejpam-3261	7	13	to	to	ADP
ejpam-3261	7	14	substance	substance	NOUN
ejpam-3261	7	15	geometry	geometry	NOUN
ejpam-3261	7	16	of	of	ADP
ejpam-3261	7	17	riemannian	riemannian	ADJ
ejpam-3261	7	18	manifolds	manifold	NOUN
ejpam-3261	7	19	.	.	PUNCT
ejpam-3261	8	1	manifolds	manifold	NOUN
ejpam-3261	8	2	with	with	ADP
ejpam-3261	8	3	constant	constant	ADJ
ejpam-3261	8	4	sectional	sectional	ADJ
ejpam-3261	8	5	curvature	curvature	NOUN
ejpam-3261	8	6	are	be	AUX
ejpam-3261	8	7	a	a	DET
ejpam-3261	8	8	great	great	ADJ
ejpam-3261	8	9	source	source	NOUN
ejpam-3261	8	10	of	of	ADP
ejpam-3261	8	11	study	study	NOUN
ejpam-3261	8	12	.	.	PUNCT
ejpam-3261	9	1	morever	morever	PROPN
ejpam-3261	9	2	,	,	PUNCT
ejpam-3261	9	3	contact	contact	NOUN
ejpam-3261	9	4	geometry	geometry	NOUN
ejpam-3261	9	5	plays	play	VERB
ejpam-3261	9	6	important	important	ADJ
ejpam-3261	9	7	roles	role	NOUN
ejpam-3261	9	8	in	in	ADP
ejpam-3261	9	9	physics	physics	NOUN
ejpam-3261	9	10	,	,	PUNCT
ejpam-3261	9	11	optics	optic	NOUN
ejpam-3261	9	12	,	,	PUNCT
ejpam-3261	9	13	differential	differential	ADJ
ejpam-3261	9	14	equations	equation	NOUN
ejpam-3261	9	15	and	and	CCONJ
ejpam-3261	9	16	phase	phase	NOUN
ejpam-3261	9	17	spaces	space	NOUN
ejpam-3261	9	18	of	of	ADP
ejpam-3261	9	19	a	a	DET
ejpam-3261	9	20	dynamical	dynamical	ADJ
ejpam-3261	9	21	system	system	NOUN
ejpam-3261	9	22	.	.	PUNCT
ejpam-3261	10	1	this	this	PRON
ejpam-3261	10	2	stimulated	stimulate	VERB
ejpam-3261	10	3	the	the	DET
ejpam-3261	10	4	researchers	researcher	NOUN
ejpam-3261	10	5	to	to	PART
ejpam-3261	10	6	work	work	VERB
ejpam-3261	10	7	in	in	ADP
ejpam-3261	10	8	the	the	DET
ejpam-3261	10	9	domain	domain	NOUN
ejpam-3261	10	10	of	of	ADP
ejpam-3261	10	11	constancy	constancy	NOUN
ejpam-3261	10	12	holomorphic	holomorphic	ADJ
ejpam-3261	10	13	sectional	sectional	ADJ
ejpam-3261	10	14	curvatures	curvature	NOUN
ejpam-3261	10	15	of	of	ADP
ejpam-3261	10	16	locally	locally	ADV
ejpam-3261	10	17	conformal	conformal	ADJ
ejpam-3261	10	18	almost	almost	ADV
ejpam-3261	10	19	cosymplectic	cosymplectic	ADJ
ejpam-3261	10	20	manifold	manifold	ADJ
ejpam-3261	10	21	which	which	PRON
ejpam-3261	10	22	is	be	AUX
ejpam-3261	10	23	a	a	DET
ejpam-3261	10	24	motivating	motivating	NOUN
ejpam-3261	10	25	class	class	NOUN
ejpam-3261	10	26	of	of	ADP
ejpam-3261	10	27	almost	almost	ADV
ejpam-3261	10	28	contact	contact	NOUN
ejpam-3261	10	29	metric	metric	ADJ
ejpam-3261	10	30	manifold	manifold	NOUN
ejpam-3261	10	31	..	..	PUNCT
ejpam-3261	10	32	the	the	DET
ejpam-3261	10	33	study	study	NOUN
ejpam-3261	10	34	of	of	ADP
ejpam-3261	10	35	constant	constant	ADJ
ejpam-3261	10	36	holomorphic	holomorphic	ADJ
ejpam-3261	10	37	sectional	sectional	ADJ
ejpam-3261	10	38	curvature	curvature	NOUN
ejpam-3261	10	39	of	of	ADP
ejpam-3261	10	40	almost	almost	ADV
ejpam-3261	10	41	hermitian	hermitian	ADJ
ejpam-3261	10	42	manifolds	manifold	NOUN
ejpam-3261	10	43	was	be	AUX
ejpam-3261	10	44	started	start	VERB
ejpam-3261	10	45	by	by	ADP
ejpam-3261	10	46	tanno	tanno	NOUN
ejpam-3261	11	1	[	[	X
ejpam-3261	11	2	19	19	NUM
ejpam-3261	11	3	]	]	PUNCT
ejpam-3261	11	4	in	in	ADP
ejpam-3261	11	5	1973	1973	NUM
ejpam-3261	11	6	.	.	PUNCT
ejpam-3261	12	1	he	he	PRON
ejpam-3261	12	2	obtained	obtain	VERB
ejpam-3261	12	3	an	an	DET
ejpam-3261	12	4	algebraic	algebraic	ADJ
ejpam-3261	12	5	characterization	characterization	NOUN
ejpam-3261	12	6	for	for	ADP
ejpam-3261	12	7	an	an	DET
ejpam-3261	12	8	almost	almost	ADV
ejpam-3261	12	9	hermitian	hermitian	ADJ
ejpam-3261	12	10	manifold	manifold	ADJ
ejpam-3261	12	11	to	to	PART
ejpam-3261	12	12	constringe	constringe	VERB
ejpam-3261	12	13	to	to	ADP
ejpam-3261	12	14	a	a	DET
ejpam-3261	12	15	space	space	NOUN
ejpam-3261	12	16	of	of	ADP
ejpam-3261	12	17	constant	constant	ADJ
ejpam-3261	12	18	holomorphic	holomorphic	ADJ
ejpam-3261	12	19	sectional	sectional	ADJ
ejpam-3261	12	20	curvature	curvature	NOUN
ejpam-3261	12	21	,	,	PUNCT
ejpam-3261	12	22	which	which	PRON
ejpam-3261	12	23	he	he	PRON
ejpam-3261	12	24	later	later	ADV
ejpam-3261	12	25	extended	extend	VERB
ejpam-3261	12	26	for	for	ADP
ejpam-3261	12	27	sasakian	sasakian	ADJ
ejpam-3261	12	28	manifold	manifold	NOUN
ejpam-3261	12	29	.	.	PUNCT
ejpam-3261	13	1	in	in	ADP
ejpam-3261	13	2	1988	1988	NUM
ejpam-3261	13	3	,	,	PUNCT
ejpam-3261	13	4	kim	kim	PROPN
ejpam-3261	13	5	[	[	X
ejpam-3261	13	6	7	7	NUM
ejpam-3261	13	7	]	]	PUNCT
ejpam-3261	13	8	studied	study	VERB
ejpam-3261	13	9	total	total	ADJ
ejpam-3261	13	10	spaces	space	NOUN
ejpam-3261	13	11	of	of	ADP
ejpam-3261	13	12	constant	constant	ADJ
ejpam-3261	13	13	φ	φ	ADJ
ejpam-3261	13	14	-	-	PUNCT
ejpam-3261	13	15	holomorphic	holomorphic	ADJ
ejpam-3261	13	16	sectional	sectional	ADJ
ejpam-3261	13	17	curvature	curvature	NOUN
ejpam-3261	13	18	and	and	CCONJ
ejpam-3261	13	19	in	in	ADP
ejpam-3261	13	20	1989	1989	NUM
ejpam-3261	13	21	,	,	PUNCT
ejpam-3261	13	22	he	he	PRON
ejpam-3261	13	23	studied	study	VERB
ejpam-3261	13	24	[	[	X
ejpam-3261	13	25	8	8	NUM
ejpam-3261	13	26	]	]	SYM
ejpam-3261	13	27	total	total	ADJ
ejpam-3261	13	28	spaces	space	NOUN
ejpam-3261	13	29	with	with	ADP
ejpam-3261	13	30	flat	flat	ADJ
ejpam-3261	13	31	contact	contact	NOUN
ejpam-3261	13	32	bochner	bochner	NOUN
ejpam-3261	13	33	curvature	curvature	NOUN
ejpam-3261	13	34	tensor	tensor	NOUN
ejpam-3261	13	35	for	for	ADP
ejpam-3261	13	36	fibred	fibred	ADJ
ejpam-3261	13	37	sasakian	sasakian	ADJ
ejpam-3261	13	38	spaces	space	NOUN
ejpam-3261	13	39	with	with	ADP
ejpam-3261	13	40	conformal	conformal	ADJ
ejpam-3261	13	41	fibres	fibre	NOUN
ejpam-3261	13	42	.	.	PUNCT
ejpam-3261	14	1	in	in	ADP
ejpam-3261	14	2	1993	1993	NUM
ejpam-3261	14	3	,	,	PUNCT
ejpam-3261	14	4	takano	takano	PROPN
ejpam-3261	14	5	[	[	X
ejpam-3261	14	6	18	18	NUM
ejpam-3261	14	7	]	]	PUNCT
ejpam-3261	14	8	discuss	discuss	VERB
ejpam-3261	14	9	fibred	fibre	VERB
ejpam-3261	14	10	sasakian	sasakian	ADJ
ejpam-3261	14	11	spaces	space	NOUN
ejpam-3261	14	12	of	of	ADP
ejpam-3261	14	13	constant	constant	ADJ
ejpam-3261	14	14	φ	φ	ADJ
ejpam-3261	14	15	-	-	PUNCT
ejpam-3261	14	16	holomorphic	holomorphic	ADJ
ejpam-3261	14	17	sectional	sectional	ADJ
ejpam-3261	14	18	∗corresponding	∗corresponde	VERB
ejpam-3261	14	19	author	author	NOUN
ejpam-3261	14	20	.	.	PUNCT
ejpam-3261	15	1	doi	doi	NOUN
ejpam-3261	15	2	:	:	PUNCT
ejpam-3261	15	3	https://doi.org/10.29020/nybg.ejpam.v11i3.3261	https://doi.org/10.29020/nybg.ejpam.v11i3.3261	NUM
ejpam-3261	15	4	email	email	NOUN
ejpam-3261	15	5	addresses	address	NOUN
ejpam-3261	15	6	:	:	PUNCT
ejpam-3261	15	7	iraqsafwan2006@gmail.com	iraqsafwan2006@gmail.com	X
ejpam-3261	15	8	(	(	PUNCT
ejpam-3261	15	9	h.	h.	PROPN
ejpam-3261	15	10	m.	m.	PROPN
ejpam-3261	15	11	abood	abood	PROPN
ejpam-3261	15	12	)	)	PUNCT
ejpam-3261	15	13	,	,	PUNCT
ejpam-3261	15	14	farahalhussaini14@yahoo.com	farahalhussaini14@yahoo.com	PROPN
ejpam-3261	15	15	(	(	PUNCT
ejpam-3261	15	16	f.	f.	PROPN
ejpam-3261	15	17	h.	h.	PROPN
ejpam-3261	15	18	j.	j.	PROPN
ejpam-3261	15	19	al	al	PROPN
ejpam-3261	15	20	-	-	PUNCT
ejpam-3261	15	21	hussaini	hussaini	PROPN
ejpam-3261	15	22	)	)	PUNCT
ejpam-3261	15	23	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-3261	16	1	671	671	NUM
ejpam-3261	16	2	c	c	X
ejpam-3261	16	3	©	©	PROPN
ejpam-3261	16	4	2018	2018	NUM
ejpam-3261	16	5	ejpam	ejpam	VERB
ejpam-3261	16	6	all	all	DET
ejpam-3261	16	7	rights	right	NOUN
ejpam-3261	16	8	reserved	reserve	VERB
ejpam-3261	16	9	.	.	PUNCT
ejpam-3261	17	1	h.	h.	PROPN
ejpam-3261	17	2	m.	m.	PROPN
ejpam-3261	17	3	abood	abood	PROPN
ejpam-3261	17	4	,	,	PUNCT
ejpam-3261	17	5	f.	f.	PROPN
ejpam-3261	17	6	h.	h.	PROPN
ejpam-3261	17	7	j.	j.	PROPN
ejpam-3261	17	8	al	al	PROPN
ejpam-3261	17	9	-	-	PUNCT
ejpam-3261	17	10	hussaini	hussaini	PROPN
ejpam-3261	17	11	/	/	SYM
ejpam-3261	17	12	eur	eur	PROPN
ejpam-3261	17	13	.	.	PUNCT
ejpam-3261	18	1	j.	j.	PROPN
ejpam-3261	18	2	pure	pure	PROPN
ejpam-3261	18	3	appl	appl	PROPN
ejpam-3261	18	4	.	.	PROPN
ejpam-3261	18	5	math	math	PROPN
ejpam-3261	18	6	,	,	PUNCT
ejpam-3261	18	7	11	11	NUM
ejpam-3261	18	8	(	(	PUNCT
ejpam-3261	18	9	3	3	NUM
ejpam-3261	18	10	)	)	PUNCT
ejpam-3261	18	11	(	(	PUNCT
ejpam-3261	18	12	2018	2018	NUM
ejpam-3261	18	13	)	)	PUNCT
ejpam-3261	18	14	,	,	PUNCT
ejpam-3261	18	15	671	671	NUM
ejpam-3261	18	16	-	-	SYM
ejpam-3261	18	17	681	681	NUM
ejpam-3261	18	18	672	672	NUM
ejpam-3261	18	19	and	and	CCONJ
ejpam-3261	18	20	at	at	ADP
ejpam-3261	18	21	the	the	DET
ejpam-3261	18	22	same	same	ADJ
ejpam-3261	18	23	time	time	NOUN
ejpam-3261	18	24	nagaich	nagaich	PRON
ejpam-3261	19	1	[	[	X
ejpam-3261	19	2	14	14	NUM
ejpam-3261	19	3	]	]	PUNCT
ejpam-3261	19	4	showed	show	VERB
ejpam-3261	19	5	a	a	DET
ejpam-3261	19	6	generalized	generalized	ADJ
ejpam-3261	19	7	tanno	tanno	NOUN
ejpam-3261	19	8	’s	’s	PART
ejpam-3261	19	9	results	result	NOUN
ejpam-3261	19	10	for	for	ADP
ejpam-3261	19	11	indefinite	indefinite	ADJ
ejpam-3261	19	12	almost	almost	ADV
ejpam-3261	19	13	hermitian	hermitian	ADJ
ejpam-3261	19	14	manifold	manifold	NOUN
ejpam-3261	19	15	.	.	PUNCT
ejpam-3261	20	1	in	in	ADP
ejpam-3261	20	2	2009	2009	NUM
ejpam-3261	20	3	,	,	PUNCT
ejpam-3261	20	4	rani	rani	PROPN
ejpam-3261	20	5	et	et	PROPN
ejpam-3261	20	6	al	al	PROPN
ejpam-3261	20	7	.	.	PUNCT
ejpam-3261	21	1	[	[	X
ejpam-3261	21	2	17	17	NUM
ejpam-3261	21	3	]	]	PUNCT
ejpam-3261	21	4	considered	consider	VERB
ejpam-3261	21	5	similar	similar	ADJ
ejpam-3261	21	6	condition	condition	NOUN
ejpam-3261	21	7	of	of	ADP
ejpam-3261	21	8	[	[	X
ejpam-3261	21	9	19	19	NUM
ejpam-3261	21	10	]	]	PUNCT
ejpam-3261	21	11	to	to	ADP
ejpam-3261	21	12	another	another	DET
ejpam-3261	21	13	distinct	distinct	ADJ
ejpam-3261	21	14	class	class	NOUN
ejpam-3261	21	15	of	of	ADP
ejpam-3261	21	16	almost	almost	ADV
ejpam-3261	21	17	contact	contact	NOUN
ejpam-3261	21	18	manifold	manifold	NOUN
ejpam-3261	21	19	known	know	VERB
ejpam-3261	21	20	as	as	ADP
ejpam-3261	21	21	(	(	PUNCT
ejpam-3261	21	22	ε)-sasakian	ε)-sasakian	ADJ
ejpam-3261	21	23	manifold	manifold	NOUN
ejpam-3261	21	24	.	.	PUNCT
ejpam-3261	22	1	in	in	ADP
ejpam-3261	22	2	2012	2012	NUM
ejpam-3261	22	3	,	,	PUNCT
ejpam-3261	22	4	kirichenko	kirichenko	PROPN
ejpam-3261	22	5	and	and	CCONJ
ejpam-3261	22	6	kharitonova	kharitonova	X
ejpam-3261	22	7	[	[	X
ejpam-3261	22	8	12	12	NUM
ejpam-3261	22	9	]	]	PUNCT
ejpam-3261	22	10	studied	study	VERB
ejpam-3261	22	11	the	the	DET
ejpam-3261	22	12	constancy	constancy	NOUN
ejpam-3261	22	13	of	of	ADP
ejpam-3261	22	14	φ	φ	PROPN
ejpam-3261	22	15	-	-	PUNCT
ejpam-3261	22	16	holomorphic	holomorphic	ADJ
ejpam-3261	22	17	sectional	sectional	ADJ
ejpam-3261	22	18	curvature	curvature	NOUN
ejpam-3261	22	19	of	of	ADP
ejpam-3261	22	20	normal	normal	ADJ
ejpam-3261	22	21	locally	locally	ADV
ejpam-3261	22	22	conformal	conformal	ADJ
ejpam-3261	22	23	almost	almost	ADV
ejpam-3261	22	24	cosymplectic	cosymplectic	ADJ
ejpam-3261	22	25	manifold	manifold	ADJ
ejpam-3261	22	26	.	.	PUNCT
ejpam-3261	23	1	2	2	X
ejpam-3261	23	2	.	.	X
ejpam-3261	23	3	preliminaries	preliminary	NOUN
ejpam-3261	23	4	in	in	ADP
ejpam-3261	23	5	this	this	DET
ejpam-3261	23	6	section	section	NOUN
ejpam-3261	23	7	,	,	PUNCT
ejpam-3261	23	8	we	we	PRON
ejpam-3261	23	9	will	will	AUX
ejpam-3261	23	10	focus	focus	VERB
ejpam-3261	23	11	our	our	PRON
ejpam-3261	23	12	efforts	effort	NOUN
ejpam-3261	23	13	on	on	ADP
ejpam-3261	23	14	the	the	DET
ejpam-3261	23	15	study	study	NOUN
ejpam-3261	23	16	of	of	ADP
ejpam-3261	23	17	almost	almost	ADV
ejpam-3261	23	18	contact	contact	NOUN
ejpam-3261	23	19	metric	metric	ADJ
ejpam-3261	23	20	manifold	manifold	NOUN
ejpam-3261	23	21	.	.	PUNCT
ejpam-3261	24	1	in	in	ADP
ejpam-3261	24	2	particular	particular	ADJ
ejpam-3261	24	3	,	,	PUNCT
ejpam-3261	24	4	we	we	PRON
ejpam-3261	24	5	dedicate	dedicate	VERB
ejpam-3261	24	6	our	our	PRON
ejpam-3261	24	7	study	study	NOUN
ejpam-3261	24	8	on	on	ADP
ejpam-3261	24	9	the	the	DET
ejpam-3261	24	10	construction	construction	NOUN
ejpam-3261	24	11	of	of	ADP
ejpam-3261	24	12	the	the	DET
ejpam-3261	24	13	class	class	NOUN
ejpam-3261	24	14	of	of	ADP
ejpam-3261	24	15	locally	locally	ADV
ejpam-3261	24	16	conformal	conformal	ADJ
ejpam-3261	24	17	almost	almost	ADV
ejpam-3261	24	18	cosymplectic	cosymplectic	ADJ
ejpam-3261	24	19	manifold	manifold	ADJ
ejpam-3261	24	20	in	in	ADP
ejpam-3261	24	21	the	the	DET
ejpam-3261	24	22	g	g	NOUN
ejpam-3261	24	23	-	-	PUNCT
ejpam-3261	24	24	adjoined	adjoin	VERB
ejpam-3261	24	25	structure	structure	NOUN
ejpam-3261	24	26	space	space	NOUN
ejpam-3261	24	27	.	.	PUNCT
ejpam-3261	25	1	definition	definition	NOUN
ejpam-3261	25	2	2.1	2.1	NUM
ejpam-3261	25	3	.	.	PUNCT
ejpam-3261	26	1	[	[	X
ejpam-3261	26	2	1	1	X
ejpam-3261	26	3	]	]	PUNCT
ejpam-3261	26	4	let	let	VERB
ejpam-3261	26	5	m	m	PRON
ejpam-3261	26	6	be	be	AUX
ejpam-3261	26	7	2n	2n	NUM
ejpam-3261	26	8	+	+	CCONJ
ejpam-3261	26	9	1	1	NUM
ejpam-3261	26	10	dimensional	dimensional	ADJ
ejpam-3261	26	11	smooth	smooth	ADJ
ejpam-3261	26	12	manifold	manifold	NOUN
ejpam-3261	26	13	,	,	PUNCT
ejpam-3261	26	14	η	η	X
ejpam-3261	26	15	be	be	AUX
ejpam-3261	26	16	differential	differential	NOUN
ejpam-3261	26	17	1form	1form	NOUN
ejpam-3261	26	18	called	call	VERB
ejpam-3261	26	19	a	a	DET
ejpam-3261	26	20	contact	contact	NOUN
ejpam-3261	26	21	form	form	NOUN
ejpam-3261	26	22	,	,	PUNCT
ejpam-3261	26	23	ξ	ξ	X
ejpam-3261	26	24	be	be	VERB
ejpam-3261	26	25	vector	vector	NOUN
ejpam-3261	26	26	field	field	NOUN
ejpam-3261	26	27	called	call	VERB
ejpam-3261	26	28	a	a	DET
ejpam-3261	26	29	characteristic	characteristic	NOUN
ejpam-3261	26	30	,	,	PUNCT
ejpam-3261	26	31	φ	φ	PROPN
ejpam-3261	26	32	be	be	VERB
ejpam-3261	26	33	an	an	DET
ejpam-3261	26	34	endomorphism	endomorphism	NOUN
ejpam-3261	26	35	of	of	ADP
ejpam-3261	26	36	the	the	DET
ejpam-3261	26	37	module	module	NOUN
ejpam-3261	26	38	of	of	ADP
ejpam-3261	26	39	the	the	DET
ejpam-3261	26	40	vector	vector	NOUN
ejpam-3261	26	41	fields	field	NOUN
ejpam-3261	26	42	x(m	x(m	PROPN
ejpam-3261	26	43	)	)	PUNCT
ejpam-3261	26	44	called	call	VERB
ejpam-3261	26	45	a	a	DET
ejpam-3261	26	46	structure	structure	NOUN
ejpam-3261	26	47	endomorphisim	endomorphisim	ADJ
ejpam-3261	26	48	,	,	PUNCT
ejpam-3261	26	49	then	then	ADV
ejpam-3261	26	50	the	the	DET
ejpam-3261	26	51	triple	triple	ADJ
ejpam-3261	26	52	(	(	PUNCT
ejpam-3261	26	53	η	η	PROPN
ejpam-3261	26	54	,	,	PUNCT
ejpam-3261	26	55	ξ	ξ	PROPN
ejpam-3261	26	56	,	,	PUNCT
ejpam-3261	26	57	φ	φ	NUM
ejpam-3261	26	58	)	)	PUNCT
ejpam-3261	26	59	is	be	AUX
ejpam-3261	26	60	called	call	VERB
ejpam-3261	26	61	an	an	DET
ejpam-3261	26	62	almost	almost	ADV
ejpam-3261	26	63	contact	contact	NOUN
ejpam-3261	26	64	structure	structure	NOUN
ejpam-3261	26	65	if	if	SCONJ
ejpam-3261	26	66	the	the	DET
ejpam-3261	26	67	following	follow	VERB
ejpam-3261	26	68	conditions	condition	NOUN
ejpam-3261	26	69	hold	hold	VERB
ejpam-3261	26	70	(	(	PUNCT
ejpam-3261	26	71	i	i	NOUN
ejpam-3261	26	72	)	)	PUNCT
ejpam-3261	26	73	η(ξ	η(ξ	PROPN
ejpam-3261	26	74	)	)	PUNCT
ejpam-3261	26	75	=	=	SYM
ejpam-3261	26	76	1	1	NUM
ejpam-3261	26	77	;	;	PUNCT
ejpam-3261	26	78	(	(	PUNCT
ejpam-3261	26	79	ii	ii	NOUN
ejpam-3261	26	80	)	)	PUNCT
ejpam-3261	26	81	φ(ξ	φ(ξ	PROPN
ejpam-3261	26	82	)	)	PUNCT
ejpam-3261	26	83	=	=	SYM
ejpam-3261	26	84	0	0	NUM
ejpam-3261	26	85	;	;	PUNCT
ejpam-3261	26	86	(	(	PUNCT
ejpam-3261	26	87	iii	iii	X
ejpam-3261	26	88	)	)	PUNCT
ejpam-3261	26	89	η	η	PROPN
ejpam-3261	26	90	◦	◦	NOUN
ejpam-3261	26	91	φ	φ	NUM
ejpam-3261	26	92	=	=	SYM
ejpam-3261	26	93	0	0	NUM
ejpam-3261	26	94	;	;	PUNCT
ejpam-3261	26	95	(	(	PUNCT
ejpam-3261	26	96	iv	iv	X
ejpam-3261	26	97	)	)	PUNCT
ejpam-3261	26	98	φ2	φ2	PROPN
ejpam-3261	26	99	=	=	PUNCT
ejpam-3261	26	100	−id+	−id+	PROPN
ejpam-3261	26	101	η	η	PROPN
ejpam-3261	26	102	⊗	⊗	PROPN
ejpam-3261	26	103	ξ	ξ	PROPN
ejpam-3261	26	104	.	.	PUNCT
ejpam-3261	27	1	morover	morover	PROPN
ejpam-3261	27	2	,	,	PUNCT
ejpam-3261	27	3	if	if	SCONJ
ejpam-3261	27	4	there	there	PRON
ejpam-3261	27	5	is	be	VERB
ejpam-3261	27	6	a	a	DET
ejpam-3261	27	7	riemannian	riemannian	ADJ
ejpam-3261	27	8	metric	metric	ADJ
ejpam-3261	27	9	g	g	PROPN
ejpam-3261	27	10	=	=	SYM
ejpam-3261	27	11	〈	〈	PROPN
ejpam-3261	27	12	.	.	PROPN
ejpam-3261	27	13	,	,	PUNCT
ejpam-3261	27	14	.	.	PUNCT
ejpam-3261	28	1	〉	〉	NOUN
ejpam-3261	28	2	on	on	ADP
ejpam-3261	28	3	m	m	PRON
ejpam-3261	28	4	such	such	ADJ
ejpam-3261	28	5	that	that	SCONJ
ejpam-3261	28	6	〈	〈	PROPN
ejpam-3261	28	7	φx	φx	ADJ
ejpam-3261	28	8	,	,	PUNCT
ejpam-3261	28	9	φy	φy	ADP
ejpam-3261	28	10	〉	〉	NOUN
ejpam-3261	28	11	=	=	SYM
ejpam-3261	28	12	〈	〈	PROPN
ejpam-3261	28	13	x	x	X
ejpam-3261	28	14	,	,	PUNCT
ejpam-3261	28	15	y	y	PROPN
ejpam-3261	28	16	〉	〉	PROPN
ejpam-3261	28	17	−	−	PROPN
ejpam-3261	28	18	η(x)η(y	η(x)η(y	PROPN
ejpam-3261	28	19	)	)	PUNCT
ejpam-3261	28	20	,	,	PUNCT
ejpam-3261	28	21	x	x	X
ejpam-3261	28	22	,	,	PUNCT
ejpam-3261	28	23	y	y	PROPN
ejpam-3261	28	24	∈	∈	PROPN
ejpam-3261	28	25	x(m	x(m	PROPN
ejpam-3261	28	26	)	)	PUNCT
ejpam-3261	28	27	,	,	PUNCT
ejpam-3261	28	28	then	then	ADV
ejpam-3261	28	29	the	the	DET
ejpam-3261	28	30	tetrad	tetrad	NOUN
ejpam-3261	28	31	of	of	ADP
ejpam-3261	28	32	tensors	tensor	NOUN
ejpam-3261	28	33	(	(	PUNCT
ejpam-3261	28	34	η	η	PROPN
ejpam-3261	28	35	,	,	PUNCT
ejpam-3261	28	36	ξ	ξ	PROPN
ejpam-3261	28	37	,	,	PUNCT
ejpam-3261	28	38	φ	φ	NOUN
ejpam-3261	28	39	,	,	PUNCT
ejpam-3261	28	40	g	g	NOUN
ejpam-3261	28	41	)	)	PUNCT
ejpam-3261	28	42	is	be	AUX
ejpam-3261	28	43	called	call	VERB
ejpam-3261	28	44	an	an	DET
ejpam-3261	28	45	almost	almost	ADV
ejpam-3261	28	46	contact	contact	NOUN
ejpam-3261	28	47	metric	metric	ADJ
ejpam-3261	28	48	structure	structure	NOUN
ejpam-3261	28	49	.	.	PUNCT
ejpam-3261	29	1	in	in	ADP
ejpam-3261	29	2	this	this	DET
ejpam-3261	29	3	case	case	NOUN
ejpam-3261	29	4	the	the	DET
ejpam-3261	29	5	manifold	manifold	NOUN
ejpam-3261	29	6	m	m	AUX
ejpam-3261	29	7	equipped	equip	VERB
ejpam-3261	29	8	with	with	ADP
ejpam-3261	29	9	this	this	DET
ejpam-3261	29	10	structure	structure	NOUN
ejpam-3261	29	11	is	be	AUX
ejpam-3261	29	12	called	call	VERB
ejpam-3261	29	13	an	an	DET
ejpam-3261	29	14	almost	almost	ADV
ejpam-3261	29	15	contact	contact	NOUN
ejpam-3261	29	16	metric	metric	ADJ
ejpam-3261	29	17	manifold	manifold	NOUN
ejpam-3261	29	18	.	.	PUNCT
ejpam-3261	30	1	definition	definition	NOUN
ejpam-3261	30	2	2.2	2.2	NUM
ejpam-3261	30	3	.	.	PUNCT
ejpam-3261	31	1	[	[	X
ejpam-3261	31	2	9	9	NUM
ejpam-3261	31	3	]	]	X
ejpam-3261	31	4	let	let	VERB
ejpam-3261	31	5	(	(	PUNCT
ejpam-3261	31	6	m	m	PROPN
ejpam-3261	31	7	,	,	PUNCT
ejpam-3261	31	8	η	η	PROPN
ejpam-3261	31	9	,	,	PUNCT
ejpam-3261	31	10	φ	φ	NOUN
ejpam-3261	31	11	,	,	PUNCT
ejpam-3261	31	12	g	g	NOUN
ejpam-3261	31	13	)	)	PUNCT
ejpam-3261	31	14	be	be	VERB
ejpam-3261	31	15	almost	almost	ADV
ejpam-3261	31	16	contat	contat	VERB
ejpam-3261	31	17	metric	metric	ADJ
ejpam-3261	31	18	manifold	manifold	ADJ
ejpam-3261	31	19	(	(	PUNCT
ejpam-3261	31	20	ac	ac	ADJ
ejpam-3261	31	21	-	-	ADJ
ejpam-3261	31	22	manifold	manifold	ADJ
ejpam-3261	31	23	)	)	PUNCT
ejpam-3261	31	24	.	.	PUNCT
ejpam-3261	32	1	in	in	ADP
ejpam-3261	32	2	the	the	DET
ejpam-3261	32	3	module	module	NOUN
ejpam-3261	32	4	x(m	x(m	PROPN
ejpam-3261	32	5	)	)	PUNCT
ejpam-3261	32	6	we	we	PRON
ejpam-3261	32	7	can	can	AUX
ejpam-3261	32	8	determine	determine	VERB
ejpam-3261	32	9	two	two	NUM
ejpam-3261	32	10	complementary	complementary	ADJ
ejpam-3261	32	11	projections	projection	NOUN
ejpam-3261	32	12	m	m	VERB
ejpam-3261	32	13	,	,	PUNCT
ejpam-3261	32	14	`	`	PUNCT
ejpam-3261	32	15	,	,	PUNCT
ejpam-3261	32	16	where	where	SCONJ
ejpam-3261	32	17	m	m	VERB
ejpam-3261	32	18	=	=	SYM
ejpam-3261	32	19	η⊗ξ	η⊗ξ	ADJ
ejpam-3261	32	20	and	and	CCONJ
ejpam-3261	32	21	`	`	PUNCT
ejpam-3261	32	22	=	=	SYM
ejpam-3261	32	23	−φ2	−φ2	PROPN
ejpam-3261	32	24	;	;	PUNCT
ejpam-3261	32	25	thus	thus	ADV
ejpam-3261	32	26	x(m	x(m	PROPN
ejpam-3261	32	27	)	)	PUNCT
ejpam-3261	33	1	=	=	PUNCT
ejpam-3261	33	2	l⊕	l⊕	NOUN
ejpam-3261	33	3	ℵ	ℵ	NOUN
ejpam-3261	33	4	,	,	PUNCT
ejpam-3261	33	5	where	where	SCONJ
ejpam-3261	33	6	l	l	NOUN
ejpam-3261	33	7	=	=	SYM
ejpam-3261	33	8	imφ	imφ	NOUN
ejpam-3261	33	9	=	=	SYM
ejpam-3261	33	10	kerη	kerη	NOUN
ejpam-3261	33	11	and	and	CCONJ
ejpam-3261	33	12	ℵ	ℵ	NOUN
ejpam-3261	33	13	=	=	NOUN
ejpam-3261	33	14	imm	imm	NOUN
ejpam-3261	33	15	=	=	SYM
ejpam-3261	33	16	kerφ	kerφ	PROPN
ejpam-3261	33	17	,	,	PUNCT
ejpam-3261	33	18	where	where	SCONJ
ejpam-3261	33	19	`	`	PUNCT
ejpam-3261	33	20	and	and	CCONJ
ejpam-3261	33	21	m	m	PROPN
ejpam-3261	33	22	are	be	AUX
ejpam-3261	33	23	the	the	DET
ejpam-3261	33	24	projections	projection	NOUN
ejpam-3261	33	25	onto	onto	ADP
ejpam-3261	33	26	the	the	DET
ejpam-3261	33	27	submodules	submodule	NOUN
ejpam-3261	33	28	l	l	NOUN
ejpam-3261	33	29	and	and	CCONJ
ejpam-3261	33	30	ℵ	ℵ	PRON
ejpam-3261	33	31	respectively	respectively	ADV
ejpam-3261	33	32	.	.	PUNCT
ejpam-3261	34	1	definition	definition	NOUN
ejpam-3261	34	2	2.3	2.3	NUM
ejpam-3261	34	3	.	.	PUNCT
ejpam-3261	35	1	[	[	X
ejpam-3261	35	2	9	9	NUM
ejpam-3261	35	3	]	]	PUNCT
ejpam-3261	35	4	in	in	ADP
ejpam-3261	35	5	the	the	DET
ejpam-3261	35	6	complexification	complexification	NOUN
ejpam-3261	35	7	module	module	NOUN
ejpam-3261	35	8	lc	lc	NOUN
ejpam-3261	35	9	of	of	ADP
ejpam-3261	35	10	the	the	DET
ejpam-3261	35	11	module	module	NOUN
ejpam-3261	35	12	l	l	NOUN
ejpam-3261	35	13	define	define	VERB
ejpam-3261	35	14	two	two	NUM
ejpam-3261	35	15	endomorphisms	endomorphism	NOUN
ejpam-3261	35	16	σ	σ	NOUN
ejpam-3261	35	17	and	and	CCONJ
ejpam-3261	35	18	σ̄	σ̄	PRON
ejpam-3261	35	19	as	as	ADP
ejpam-3261	35	20	σ	σ	PROPN
ejpam-3261	35	21	=	=	SYM
ejpam-3261	35	22	1	1	NUM
ejpam-3261	35	23	2(id	2(id	NUM
ejpam-3261	35	24	−	−	ADP
ejpam-3261	35	25	√	√	PROPN
ejpam-3261	35	26	−1φ	−1φ	PROPN
ejpam-3261	35	27	)	)	PUNCT
ejpam-3261	35	28	and	and	CCONJ
ejpam-3261	35	29	σ̄	σ̄	PRON
ejpam-3261	35	30	=	=	SYM
ejpam-3261	35	31	−1	−1	NOUN
ejpam-3261	35	32	2(id	2(id	NUM
ejpam-3261	35	33	+	+	CCONJ
ejpam-3261	35	34	√	√	NUM
ejpam-3261	35	35	−1φ	−1φ	PROPN
ejpam-3261	35	36	)	)	PUNCT
ejpam-3261	35	37	.	.	PUNCT
ejpam-3261	36	1	we	we	PRON
ejpam-3261	36	2	can	can	AUX
ejpam-3261	36	3	define	define	VERB
ejpam-3261	36	4	two	two	NUM
ejpam-3261	36	5	projections	projection	NOUN
ejpam-3261	36	6	by	by	ADP
ejpam-3261	36	7	the	the	DET
ejpam-3261	36	8	forms	form	NOUN
ejpam-3261	36	9	:	:	PUNCT
ejpam-3261	36	10	π	π	X
ejpam-3261	36	11	=	=	PUNCT
ejpam-3261	36	12	σ	σ	PROPN
ejpam-3261	36	13	◦	◦	NOUN
ejpam-3261	36	14	`	`	PUNCT
ejpam-3261	36	15	=	=	SYM
ejpam-3261	36	16	−1	−1	NOUN
ejpam-3261	36	17	2	2	NUM
ejpam-3261	36	18	(	(	PUNCT
ejpam-3261	36	19	φ2	φ2	NOUN
ejpam-3261	36	20	−	−	PROPN
ejpam-3261	36	21	√	√	PROPN
ejpam-3261	36	22	−1φ	−1φ	PROPN
ejpam-3261	36	23	)	)	PUNCT
ejpam-3261	36	24	and	and	CCONJ
ejpam-3261	36	25	π̄	π̄	VERB
ejpam-3261	36	26	=	=	NOUN
ejpam-3261	36	27	σ̄	σ̄	X
ejpam-3261	36	28	◦	◦	NOUN
ejpam-3261	36	29	`	`	PUNCT
ejpam-3261	36	30	=	=	SYM
ejpam-3261	36	31	1	1	NUM
ejpam-3261	36	32	2	2	NUM
ejpam-3261	36	33	(	(	PUNCT
ejpam-3261	36	34	φ2	φ2	NOUN
ejpam-3261	36	35	+	+	CCONJ
ejpam-3261	36	36	√	√	PROPN
ejpam-3261	36	37	−1φ	−1φ	PROPN
ejpam-3261	36	38	)	)	PUNCT
ejpam-3261	36	39	,	,	PUNCT
ejpam-3261	36	40	where	where	SCONJ
ejpam-3261	36	41	σ	σ	PROPN
ejpam-3261	36	42	◦	◦	PROPN
ejpam-3261	36	43	φ	φ	PROPN
ejpam-3261	36	44	=	=	SYM
ejpam-3261	36	45	φ	φ	PROPN
ejpam-3261	36	46	◦	◦	PROPN
ejpam-3261	36	47	σ	σ	PROPN
ejpam-3261	36	48	=	=	VERB
ejpam-3261	36	49	iσ	iσ	NOUN
ejpam-3261	36	50	and	and	CCONJ
ejpam-3261	36	51	σ̄	σ̄	PRON
ejpam-3261	36	52	◦	◦	NOUN
ejpam-3261	36	53	φ	φ	NOUN
ejpam-3261	36	54	=	=	SYM
ejpam-3261	36	55	φ	φ	PROPN
ejpam-3261	36	56	◦	◦	NOUN
ejpam-3261	36	57	σ̄	σ̄	X
ejpam-3261	36	58	=	=	NOUN
ejpam-3261	36	59	−iσ̄.	−iσ̄.	NOUN
ejpam-3261	36	60	therefore	therefore	ADV
ejpam-3261	36	61	,	,	PUNCT
ejpam-3261	36	62	if	if	SCONJ
ejpam-3261	36	63	we	we	PRON
ejpam-3261	36	64	denote	denote	VERB
ejpam-3261	36	65	imπ	imπ	VERB
ejpam-3261	36	66	=	=	SYM
ejpam-3261	36	67	d	d	NOUN
ejpam-3261	36	68	√	√	NUM
ejpam-3261	36	69	−1	−1	NOUN
ejpam-3261	36	70	φ	φ	PROPN
ejpam-3261	36	71	and	and	CCONJ
ejpam-3261	36	72	imπ̄	imπ̄	NOUN
ejpam-3261	36	73	=	=	PUNCT
ejpam-3261	36	74	d−	d−	PROPN
ejpam-3261	36	75	√	√	NUM
ejpam-3261	36	76	−1	−1	NOUN
ejpam-3261	36	77	φ	φ	PROPN
ejpam-3261	36	78	,	,	PUNCT
ejpam-3261	36	79	then	then	ADV
ejpam-3261	36	80	xc(m	xc(m	PUNCT
ejpam-3261	36	81	)	)	PUNCT
ejpam-3261	37	1	=	=	PUNCT
ejpam-3261	38	1	d	d	NOUN
ejpam-3261	38	2	√	√	NUM
ejpam-3261	38	3	−1	−1	NOUN
ejpam-3261	38	4	φ	φ	NOUN
ejpam-3261	38	5	⊕d−	⊕d−	VERB
ejpam-3261	38	6	√	√	NUM
ejpam-3261	38	7	−1	−1	NOUN
ejpam-3261	38	8	φ	φ	PROPN
ejpam-3261	38	9	⊕d0	⊕d0	PROPN
ejpam-3261	38	10	φ	φ	PROPN
ejpam-3261	38	11	,	,	PUNCT
ejpam-3261	38	12	where	where	SCONJ
ejpam-3261	38	13	d	d	NOUN
ejpam-3261	38	14	√	√	NUM
ejpam-3261	38	15	−1	−1	NOUN
ejpam-3261	38	16	φ	φ	PROPN
ejpam-3261	38	17	,	,	PUNCT
ejpam-3261	38	18	d−	d−	PROPN
ejpam-3261	38	19	√	√	NUM
ejpam-3261	38	20	−1	−1	NOUN
ejpam-3261	38	21	φ	φ	PROPN
ejpam-3261	38	22	and	and	CCONJ
ejpam-3261	38	23	d0	d0	PROPN
ejpam-3261	38	24	φ	φ	PROPN
ejpam-3261	38	25	are	be	AUX
ejpam-3261	38	26	proper	proper	ADJ
ejpam-3261	38	27	submodules	submodule	NOUN
ejpam-3261	38	28	.	.	PUNCT
ejpam-3261	39	1	h.	h.	PROPN
ejpam-3261	39	2	m.	m.	PROPN
ejpam-3261	39	3	abood	abood	PROPN
ejpam-3261	39	4	,	,	PUNCT
ejpam-3261	39	5	f.	f.	PROPN
ejpam-3261	39	6	h.	h.	PROPN
ejpam-3261	39	7	j.	j.	PROPN
ejpam-3261	39	8	al	al	PROPN
ejpam-3261	39	9	-	-	PUNCT
ejpam-3261	39	10	hussaini	hussaini	PROPN
ejpam-3261	39	11	/	/	SYM
ejpam-3261	39	12	eur	eur	PROPN
ejpam-3261	39	13	.	.	PUNCT
ejpam-3261	40	1	j.	j.	PROPN
ejpam-3261	40	2	pure	pure	PROPN
ejpam-3261	40	3	appl	appl	PROPN
ejpam-3261	40	4	.	.	PROPN
ejpam-3261	40	5	math	math	PROPN
ejpam-3261	40	6	,	,	PUNCT
ejpam-3261	40	7	11	11	NUM
ejpam-3261	40	8	(	(	PUNCT
ejpam-3261	40	9	3	3	NUM
ejpam-3261	40	10	)	)	PUNCT
ejpam-3261	40	11	(	(	PUNCT
ejpam-3261	40	12	2018	2018	NUM
ejpam-3261	40	13	)	)	PUNCT
ejpam-3261	40	14	,	,	PUNCT
ejpam-3261	40	15	671	671	NUM
ejpam-3261	40	16	-	-	SYM
ejpam-3261	40	17	681	681	NUM
ejpam-3261	40	18	673	673	NUM
ejpam-3261	40	19	definition	definition	NOUN
ejpam-3261	40	20	2.4	2.4	NUM
ejpam-3261	40	21	.	.	PUNCT
ejpam-3261	41	1	[	[	X
ejpam-3261	41	2	11	11	NUM
ejpam-3261	41	3	]	]	PUNCT
ejpam-3261	41	4	at	at	ADP
ejpam-3261	41	5	each	each	DET
ejpam-3261	41	6	point	point	NOUN
ejpam-3261	41	7	p	p	PROPN
ejpam-3261	41	8	∈	∈	PROPN
ejpam-3261	41	9	m2n+1	m2n+1	NOUN
ejpam-3261	41	10	,	,	PUNCT
ejpam-3261	41	11	there	there	PRON
ejpam-3261	41	12	is	be	VERB
ejpam-3261	41	13	a	a	DET
ejpam-3261	41	14	frame	frame	NOUN
ejpam-3261	41	15	in	in	ADP
ejpam-3261	41	16	t	t	PROPN
ejpam-3261	41	17	cp	cp	INTJ
ejpam-3261	41	18	(	(	PUNCT
ejpam-3261	41	19	m	m	NOUN
ejpam-3261	41	20	)	)	PUNCT
ejpam-3261	41	21	of	of	ADP
ejpam-3261	41	22	the	the	DET
ejpam-3261	41	23	form	form	NOUN
ejpam-3261	41	24	(	(	PUNCT
ejpam-3261	41	25	p	p	X
ejpam-3261	41	26	,	,	PUNCT
ejpam-3261	41	27	ε0	ε0	PROPN
ejpam-3261	41	28	,	,	PUNCT
ejpam-3261	41	29	ε1	ε1	PROPN
ejpam-3261	41	30	,	,	PUNCT
ejpam-3261	41	31	...	...	PUNCT
ejpam-3261	41	32	,	,	PUNCT
ejpam-3261	41	33	εn	εn	ADJ
ejpam-3261	41	34	,	,	PUNCT
ejpam-3261	41	35	ε1̂	ε1̂	NOUN
ejpam-3261	41	36	,	,	PUNCT
ejpam-3261	41	37	...	...	PUNCT
ejpam-3261	41	38	,	,	PUNCT
ejpam-3261	41	39	εn̂	εn̂	PROPN
ejpam-3261	41	40	)	)	PUNCT
ejpam-3261	41	41	,	,	PUNCT
ejpam-3261	41	42	where	where	SCONJ
ejpam-3261	41	43	εa	εa	NOUN
ejpam-3261	41	44	=	=	PUNCT
ejpam-3261	41	45	√	√	PROPN
ejpam-3261	41	46	2σp(ep	2σp(ep	NUM
ejpam-3261	41	47	)	)	PUNCT
ejpam-3261	41	48	,	,	PUNCT
ejpam-3261	41	49	εâ	εâ	PROPN
ejpam-3261	41	50	=	=	SYM
ejpam-3261	41	51	√	√	NUM
ejpam-3261	41	52	2σ̄(ep	2σ̄(ep	NUM
ejpam-3261	41	53	)	)	PUNCT
ejpam-3261	41	54	,	,	PUNCT
ejpam-3261	41	55	â	â	X
ejpam-3261	41	56	=	=	SYM
ejpam-3261	41	57	a+n	a+n	PROPN
ejpam-3261	41	58	,	,	PUNCT
ejpam-3261	41	59	ε0	ε0	PROPN
ejpam-3261	41	60	=	=	PUNCT
ejpam-3261	41	61	ξp	ξp	PROPN
ejpam-3261	41	62	,	,	PUNCT
ejpam-3261	41	63	the	the	DET
ejpam-3261	41	64	mappings	mapping	NOUN
ejpam-3261	41	65	σp	σp	VERB
ejpam-3261	41	66	:	:	PUNCT
ejpam-3261	41	67	lp	lp	ADP
ejpam-3261	42	1	−→	−→	ADJ
ejpam-3261	42	2	d	d	NOUN
ejpam-3261	42	3	√	√	NUM
ejpam-3261	42	4	−1	−1	NOUN
ejpam-3261	42	5	φ	φ	PROPN
ejpam-3261	42	6	,	,	PUNCT
ejpam-3261	42	7	σ̄p	σ̄p	NOUN
ejpam-3261	42	8	:	:	PUNCT
ejpam-3261	42	9	lp	lp	ADV
ejpam-3261	42	10	−→	−→	NOUN
ejpam-3261	42	11	d−	d−	PROPN
ejpam-3261	42	12	√	√	NUM
ejpam-3261	42	13	−1	−1	NOUN
ejpam-3261	42	14	φ	φ	PROPN
ejpam-3261	42	15	are	be	AUX
ejpam-3261	42	16	isomorphism	isomorphism	NOUN
ejpam-3261	42	17	and	and	CCONJ
ejpam-3261	42	18	anti	anti	ADJ
ejpam-3261	42	19	-	-	NOUN
ejpam-3261	42	20	isomorphism	isomorphism	NOUN
ejpam-3261	42	21	respectively	respectively	ADV
ejpam-3261	42	22	,	,	PUNCT
ejpam-3261	42	23	and	and	CCONJ
ejpam-3261	42	24	ea	ea	NOUN
ejpam-3261	42	25	are	be	AUX
ejpam-3261	42	26	orthonormal	orthonormal	ADJ
ejpam-3261	42	27	bases	basis	NOUN
ejpam-3261	42	28	of	of	ADP
ejpam-3261	42	29	lp	lp	NOUN
ejpam-3261	42	30	.	.	PUNCT
ejpam-3261	43	1	the	the	DET
ejpam-3261	43	2	frame	frame	NOUN
ejpam-3261	43	3	(	(	PUNCT
ejpam-3261	43	4	p	p	X
ejpam-3261	43	5	,	,	PUNCT
ejpam-3261	43	6	ε0	ε0	PROPN
ejpam-3261	43	7	,	,	PUNCT
ejpam-3261	43	8	ε1	ε1	PROPN
ejpam-3261	43	9	,	,	PUNCT
ejpam-3261	43	10	...	...	PUNCT
ejpam-3261	43	11	,	,	PUNCT
ejpam-3261	43	12	εn	εn	ADJ
ejpam-3261	43	13	,	,	PUNCT
ejpam-3261	43	14	ε1̂	ε1̂	NOUN
ejpam-3261	43	15	,	,	PUNCT
ejpam-3261	43	16	...	...	PUNCT
ejpam-3261	43	17	,	,	PUNCT
ejpam-3261	43	18	εn̂	εn̂	PROPN
ejpam-3261	43	19	)	)	PUNCT
ejpam-3261	43	20	is	be	AUX
ejpam-3261	43	21	called	call	VERB
ejpam-3261	43	22	an	an	DET
ejpam-3261	43	23	a	a	DET
ejpam-3261	43	24	-	-	PUNCT
ejpam-3261	43	25	frame	frame	NOUN
ejpam-3261	43	26	.	.	PUNCT
ejpam-3261	44	1	lemma	lemma	PROPN
ejpam-3261	44	2	2.1	2.1	NUM
ejpam-3261	44	3	.	.	PUNCT
ejpam-3261	45	1	[	[	X
ejpam-3261	45	2	13	13	NUM
ejpam-3261	45	3	]	]	PUNCT
ejpam-3261	45	4	the	the	DET
ejpam-3261	45	5	matrices	matrix	NOUN
ejpam-3261	45	6	components	component	NOUN
ejpam-3261	45	7	of	of	ADP
ejpam-3261	45	8	tensors	tensor	NOUN
ejpam-3261	45	9	φp	φp	ADP
ejpam-3261	45	10	and	and	CCONJ
ejpam-3261	45	11	gp	gp	NOUN
ejpam-3261	45	12	in	in	ADP
ejpam-3261	45	13	a	a	DET
ejpam-3261	45	14	-	-	PUNCT
ejpam-3261	45	15	frame	frame	NOUN
ejpam-3261	45	16	have	have	VERB
ejpam-3261	45	17	the	the	DET
ejpam-3261	45	18	following	follow	VERB
ejpam-3261	45	19	froms	from	NOUN
ejpam-3261	45	20	respectively	respectively	ADV
ejpam-3261	45	21	:	:	PUNCT
ejpam-3261	45	22	(	(	PUNCT
ejpam-3261	45	23	φi	φi	ADP
ejpam-3261	45	24	j	j	NOUN
ejpam-3261	45	25	)	)	PUNCT
ejpam-3261	45	26	=	=	PUNCT
ejpam-3261	46	1			PROPN
ejpam-3261	46	2	0	0	NUM
ejpam-3261	46	3	0	0	NUM
ejpam-3261	46	4	0	0	NUM
ejpam-3261	46	5	0	0	NUM
ejpam-3261	46	6	√	√	NUM
ejpam-3261	46	7	−1	−1	NOUN
ejpam-3261	46	8	in	in	ADP
ejpam-3261	46	9	o	o	PROPN
ejpam-3261	46	10	0	0	NUM
ejpam-3261	46	11	0	0	NUM
ejpam-3261	46	12	−	−	NOUN
ejpam-3261	46	13	√	√	NUM
ejpam-3261	46	14	−1	−1	NOUN
ejpam-3261	46	15	in	in	ADP
ejpam-3261	46	16			PROPN
ejpam-3261	46	17	,	,	PUNCT
ejpam-3261	46	18	(	(	PUNCT
ejpam-3261	46	19	gij	gij	NOUN
ejpam-3261	46	20	)	)	PUNCT
ejpam-3261	46	21	=	=	SYM
ejpam-3261	47	1			PROPN
ejpam-3261	47	2	1	1	NUM
ejpam-3261	47	3	0	0	NUM
ejpam-3261	47	4	0	0	NUM
ejpam-3261	47	5	0	0	NUM
ejpam-3261	47	6	0	0	NUM
ejpam-3261	48	1	−in	−in	NOUN
ejpam-3261	48	2	0	0	NUM
ejpam-3261	48	3	in	in	ADP
ejpam-3261	48	4	0	0	NUM
ejpam-3261	48	5			PROPN
ejpam-3261	48	6	,	,	PUNCT
ejpam-3261	48	7	where	where	SCONJ
ejpam-3261	48	8	in	in	ADP
ejpam-3261	48	9	is	be	AUX
ejpam-3261	48	10	the	the	DET
ejpam-3261	48	11	identity	identity	NOUN
ejpam-3261	48	12	matrix	matrix	NOUN
ejpam-3261	48	13	of	of	ADP
ejpam-3261	48	14	order	order	NOUN
ejpam-3261	48	15	n.	n.	INTJ
ejpam-3261	48	16	it	it	PRON
ejpam-3261	48	17	is	be	AUX
ejpam-3261	48	18	well	well	ADV
ejpam-3261	48	19	known	know	VERB
ejpam-3261	48	20	,	,	PUNCT
ejpam-3261	48	21	that	that	SCONJ
ejpam-3261	48	22	the	the	DET
ejpam-3261	48	23	set	set	NOUN
ejpam-3261	48	24	of	of	ADP
ejpam-3261	48	25	such	such	ADJ
ejpam-3261	48	26	frames	frame	NOUN
ejpam-3261	48	27	defines	define	VERB
ejpam-3261	48	28	an	an	DET
ejpam-3261	48	29	g	g	NOUN
ejpam-3261	48	30	-	-	PUNCT
ejpam-3261	48	31	structure	structure	NOUN
ejpam-3261	48	32	on	on	ADP
ejpam-3261	48	33	m	m	PROPN
ejpam-3261	48	34	with	with	ADP
ejpam-3261	48	35	structure	structure	NOUN
ejpam-3261	48	36	group	group	NOUN
ejpam-3261	48	37	1×u(n	1×u(n	PROPN
ejpam-3261	48	38	)	)	PUNCT
ejpam-3261	48	39	,	,	PUNCT
ejpam-3261	48	40	represented	represent	VERB
ejpam-3261	48	41	by	by	ADP
ejpam-3261	48	42	matrix	matrix	NOUN
ejpam-3261	48	43	of	of	ADP
ejpam-3261	48	44	the	the	DET
ejpam-3261	48	45	form	form	NOUN
ejpam-3261	48	46			PROPN
ejpam-3261	48	47	1	1	NUM
ejpam-3261	48	48	0	0	NUM
ejpam-3261	48	49	0	0	NUM
ejpam-3261	48	50	0	0	NUM
ejpam-3261	48	51	a	a	DET
ejpam-3261	48	52	0	0	NUM
ejpam-3261	48	53	0	0	NUM
ejpam-3261	48	54	0	0	NUM
ejpam-3261	48	55	a	a	DET
ejpam-3261	48	56			PROPN
ejpam-3261	48	57	,	,	PUNCT
ejpam-3261	48	58	where	where	SCONJ
ejpam-3261	48	59	a	a	DET
ejpam-3261	48	60	∈	∈	PROPN
ejpam-3261	48	61	u(n	u(n	PROPN
ejpam-3261	48	62	)	)	PUNCT
ejpam-3261	48	63	.	.	PUNCT
ejpam-3261	49	1	this	this	DET
ejpam-3261	49	2	structure	structure	NOUN
ejpam-3261	49	3	is	be	AUX
ejpam-3261	49	4	called	call	VERB
ejpam-3261	49	5	an	an	DET
ejpam-3261	49	6	g	g	NOUN
ejpam-3261	49	7	-	-	PUNCT
ejpam-3261	49	8	adjoined	adjoin	VERB
ejpam-3261	49	9	structure	structure	NOUN
ejpam-3261	49	10	.	.	PUNCT
ejpam-3261	50	1	definition	definition	NOUN
ejpam-3261	50	2	2.5	2.5	NUM
ejpam-3261	50	3	.	.	PUNCT
ejpam-3261	51	1	[	[	X
ejpam-3261	51	2	1	1	X
ejpam-3261	51	3	]	]	X
ejpam-3261	51	4	a	a	DET
ejpam-3261	51	5	skew	skew	ADJ
ejpam-3261	51	6	-	-	PUNCT
ejpam-3261	51	7	symmetric	symmetric	ADJ
ejpam-3261	51	8	tensor	tensor	NOUN
ejpam-3261	51	9	ω(x	ω(x	PROPN
ejpam-3261	51	10	,	,	PUNCT
ejpam-3261	51	11	y	y	NOUN
ejpam-3261	51	12	)	)	PUNCT
ejpam-3261	52	1	=	=	PUNCT
ejpam-3261	52	2	g(x	g(x	NOUN
ejpam-3261	52	3	,	,	PUNCT
ejpam-3261	52	4	φy	φy	NOUN
ejpam-3261	52	5	)	)	PUNCT
ejpam-3261	52	6	is	be	AUX
ejpam-3261	52	7	called	call	VERB
ejpam-3261	52	8	a	a	DET
ejpam-3261	52	9	fundamental	fundamental	ADJ
ejpam-3261	52	10	form	form	NOUN
ejpam-3261	52	11	of	of	ADP
ejpam-3261	52	12	the	the	DET
ejpam-3261	52	13	ac	ac	NOUN
ejpam-3261	52	14	-	-	NOUN
ejpam-3261	52	15	structure	structure	NOUN
ejpam-3261	52	16	.	.	PUNCT
ejpam-3261	53	1	definition	definition	NOUN
ejpam-3261	53	2	2.6	2.6	NUM
ejpam-3261	53	3	.	.	PUNCT
ejpam-3261	54	1	[	[	X
ejpam-3261	54	2	4	4	X
ejpam-3261	54	3	]	]	PUNCT
ejpam-3261	54	4	an	an	DET
ejpam-3261	54	5	almost	almost	ADV
ejpam-3261	54	6	contact	contact	NOUN
ejpam-3261	54	7	metric	metric	ADJ
ejpam-3261	54	8	structure	structure	NOUN
ejpam-3261	54	9	s	s	PART
ejpam-3261	54	10	=	=	SYM
ejpam-3261	54	11	(	(	PUNCT
ejpam-3261	54	12	η	η	PROPN
ejpam-3261	54	13	,	,	PUNCT
ejpam-3261	54	14	ξ	ξ	PROPN
ejpam-3261	54	15	,	,	PUNCT
ejpam-3261	54	16	φ	φ	NOUN
ejpam-3261	54	17	,	,	PUNCT
ejpam-3261	54	18	g	g	NOUN
ejpam-3261	54	19	)	)	PUNCT
ejpam-3261	54	20	is	be	AUX
ejpam-3261	54	21	called	call	VERB
ejpam-3261	54	22	an	an	DET
ejpam-3261	54	23	almost	almost	ADV
ejpam-3261	54	24	cosymplectic	cosymplectic	ADJ
ejpam-3261	54	25	structure	structure	NOUN
ejpam-3261	54	26	(	(	PUNCT
ejpam-3261	54	27	ac∫	ac∫	NOUN
ejpam-3261	54	28	-structure	-structure	NOUN
ejpam-3261	54	29	)	)	PUNCT
ejpam-3261	54	30	if	if	SCONJ
ejpam-3261	54	31	(	(	PUNCT
ejpam-3261	54	32	i	i	NOUN
ejpam-3261	54	33	)	)	PUNCT
ejpam-3261	54	34	dη	dη	NOUN
ejpam-3261	54	35	=	=	NOUN
ejpam-3261	54	36	0	0	NUM
ejpam-3261	54	37	;	;	PUNCT
ejpam-3261	54	38	(	(	PUNCT
ejpam-3261	54	39	ii	ii	NOUN
ejpam-3261	54	40	)	)	PUNCT
ejpam-3261	54	41	dω	dω	ADP
ejpam-3261	54	42	=	=	NOUN
ejpam-3261	54	43	0	0	NUM
ejpam-3261	54	44	.	.	PUNCT
ejpam-3261	55	1	definition	definition	NOUN
ejpam-3261	55	2	2.7	2.7	NUM
ejpam-3261	55	3	.	.	PUNCT
ejpam-3261	56	1	[	[	X
ejpam-3261	56	2	15	15	NUM
ejpam-3261	56	3	]	]	X
ejpam-3261	56	4	a	a	DET
ejpam-3261	56	5	conformal	conformal	ADJ
ejpam-3261	56	6	transformation	transformation	NOUN
ejpam-3261	56	7	of	of	ADP
ejpam-3261	56	8	an	an	DET
ejpam-3261	56	9	ac	ac	NOUN
ejpam-3261	56	10	-	-	NOUN
ejpam-3261	56	11	structure	structure	NOUN
ejpam-3261	56	12	s	s	PART
ejpam-3261	56	13	=	=	SYM
ejpam-3261	56	14	(	(	PUNCT
ejpam-3261	56	15	η	η	PROPN
ejpam-3261	56	16	,	,	PUNCT
ejpam-3261	56	17	ξ	ξ	PROPN
ejpam-3261	56	18	,	,	PUNCT
ejpam-3261	56	19	φ	φ	NOUN
ejpam-3261	56	20	,	,	PUNCT
ejpam-3261	56	21	g	g	NOUN
ejpam-3261	56	22	)	)	PUNCT
ejpam-3261	56	23	on	on	ADP
ejpam-3261	56	24	a	a	DET
ejpam-3261	56	25	manifold	manifold	NOUN
ejpam-3261	56	26	is	be	AUX
ejpam-3261	56	27	the	the	DET
ejpam-3261	56	28	passage	passage	NOUN
ejpam-3261	56	29	from	from	ADP
ejpam-3261	56	30	s	s	PRON
ejpam-3261	56	31	to	to	ADP
ejpam-3261	56	32	an	an	DET
ejpam-3261	56	33	ac	ac	ADJ
ejpam-3261	56	34	-	-	NOUN
ejpam-3261	56	35	structure	structure	NOUN
ejpam-3261	56	36	s̃	s̃	PROPN
ejpam-3261	56	37	=	=	SYM
ejpam-3261	56	38	(	(	PUNCT
ejpam-3261	56	39	η̃	η̃	PROPN
ejpam-3261	56	40	,	,	PUNCT
ejpam-3261	56	41	ξ̃	ξ̃	PROPN
ejpam-3261	56	42	,	,	PUNCT
ejpam-3261	56	43	φ̃	φ̃	PROPN
ejpam-3261	56	44	,	,	PUNCT
ejpam-3261	56	45	g̃	g̃	PROPN
ejpam-3261	56	46	)	)	PUNCT
ejpam-3261	56	47	such	such	ADJ
ejpam-3261	56	48	that	that	SCONJ
ejpam-3261	56	49	η̃	η̃	PROPN
ejpam-3261	56	50	=	=	SYM
ejpam-3261	56	51	e−ση	e−ση	PROPN
ejpam-3261	56	52	,	,	PUNCT
ejpam-3261	56	53	ξ̃	ξ̃	PROPN
ejpam-3261	56	54	=	=	SYM
ejpam-3261	56	55	eσξ	eσξ	NOUN
ejpam-3261	56	56	,	,	PUNCT
ejpam-3261	56	57	φ̃	φ̃	PROPN
ejpam-3261	56	58	=	=	SYM
ejpam-3261	56	59	φ	φ	PROPN
ejpam-3261	56	60	,	,	PUNCT
ejpam-3261	56	61	g̃	g̃	PROPN
ejpam-3261	56	62	=	=	PUNCT
ejpam-3261	56	63	e−2σg	e−2σg	NOUN
ejpam-3261	56	64	where	where	SCONJ
ejpam-3261	56	65	σ	σ	PROPN
ejpam-3261	56	66	is	be	AUX
ejpam-3261	56	67	the	the	DET
ejpam-3261	56	68	determining	determine	VERB
ejpam-3261	56	69	function	function	NOUN
ejpam-3261	56	70	of	of	ADP
ejpam-3261	56	71	the	the	DET
ejpam-3261	56	72	conformal	conformal	ADJ
ejpam-3261	56	73	transformation	transformation	NOUN
ejpam-3261	56	74	.	.	PUNCT
ejpam-3261	57	1	if	if	SCONJ
ejpam-3261	57	2	σ	σ	PROPN
ejpam-3261	57	3	=	=	SYM
ejpam-3261	57	4	const	const	NOUN
ejpam-3261	57	5	,	,	PUNCT
ejpam-3261	57	6	then	then	ADV
ejpam-3261	57	7	the	the	DET
ejpam-3261	57	8	conformal	conformal	ADJ
ejpam-3261	57	9	transformation	transformation	NOUN
ejpam-3261	57	10	is	be	AUX
ejpam-3261	57	11	said	say	VERB
ejpam-3261	57	12	to	to	PART
ejpam-3261	57	13	be	be	AUX
ejpam-3261	57	14	trivial	trivial	ADJ
ejpam-3261	57	15	.	.	PUNCT
ejpam-3261	58	1	definition	definition	NOUN
ejpam-3261	58	2	2.8	2.8	NUM
ejpam-3261	58	3	.	.	PUNCT
ejpam-3261	59	1	[	[	X
ejpam-3261	59	2	15	15	NUM
ejpam-3261	59	3	]	]	X
ejpam-3261	59	4	an	an	DET
ejpam-3261	59	5	ac	ac	ADJ
ejpam-3261	59	6	-	-	NOUN
ejpam-3261	59	7	structure	structure	NOUN
ejpam-3261	59	8	s	s	NOUN
ejpam-3261	59	9	on	on	ADP
ejpam-3261	59	10	a	a	DET
ejpam-3261	59	11	manifold	manifold	ADJ
ejpam-3261	59	12	m	m	VERB
ejpam-3261	59	13	is	be	AUX
ejpam-3261	59	14	said	say	VERB
ejpam-3261	59	15	to	to	PART
ejpam-3261	59	16	be	be	AUX
ejpam-3261	59	17	locally	locally	ADV
ejpam-3261	59	18	conformal	conformal	ADJ
ejpam-3261	59	19	almost	almost	ADV
ejpam-3261	59	20	cosymplectic	cosymplectic	ADJ
ejpam-3261	59	21	(	(	PUNCT
ejpam-3261	59	22	lcac∫	lcac∫	NOUN
ejpam-3261	59	23	-structure	-structure	NOUN
ejpam-3261	59	24	)	)	PUNCT
ejpam-3261	59	25	if	if	SCONJ
ejpam-3261	59	26	the	the	DET
ejpam-3261	59	27	restriction	restriction	NOUN
ejpam-3261	59	28	of	of	ADP
ejpam-3261	59	29	this	this	DET
ejpam-3261	59	30	structure	structure	NOUN
ejpam-3261	59	31	to	to	ADP
ejpam-3261	59	32	some	some	DET
ejpam-3261	59	33	neighborhood	neighborhood	NOUN
ejpam-3261	59	34	u	u	NOUN
ejpam-3261	59	35	of	of	ADP
ejpam-3261	59	36	an	an	DET
ejpam-3261	59	37	arbitrary	arbitrary	ADJ
ejpam-3261	59	38	point	point	NOUN
ejpam-3261	59	39	p	p	X
ejpam-3261	59	40	∈	∈	PROPN
ejpam-3261	59	41	m	m	NOUN
ejpam-3261	59	42	admits	admit	VERB
ejpam-3261	59	43	a	a	DET
ejpam-3261	59	44	conformal	conformal	ADJ
ejpam-3261	59	45	transformation	transformation	NOUN
ejpam-3261	59	46	of	of	ADP
ejpam-3261	59	47	an	an	PRON
ejpam-3261	59	48	almost	almost	ADV
ejpam-3261	59	49	cosymplectic	cosymplectic	ADJ
ejpam-3261	59	50	structure.this	structure.this	PRON
ejpam-3261	59	51	transformation	transformation	NOUN
ejpam-3261	59	52	is	be	AUX
ejpam-3261	59	53	called	call	VERB
ejpam-3261	59	54	a	a	DET
ejpam-3261	59	55	locally	locally	ADV
ejpam-3261	59	56	conformal	conformal	ADJ
ejpam-3261	59	57	.	.	PUNCT
ejpam-3261	60	1	a	a	DET
ejpam-3261	60	2	manifold	manifold	ADJ
ejpam-3261	60	3	m	m	AUX
ejpam-3261	60	4	equipped	equip	VERB
ejpam-3261	60	5	with	with	ADP
ejpam-3261	60	6	an	an	DET
ejpam-3261	60	7	lcac∫	lcac∫	NOUN
ejpam-3261	60	8	-structure	-structure	NOUN
ejpam-3261	60	9	is	be	AUX
ejpam-3261	60	10	called	call	VERB
ejpam-3261	60	11	an	an	DET
ejpam-3261	60	12	lcac∫	lcac∫	NOUN
ejpam-3261	60	13	-manifold	-manifold	VERB
ejpam-3261	60	14	.	.	PUNCT
ejpam-3261	61	1	lemma	lemma	PROPN
ejpam-3261	61	2	2.2	2.2	NUM
ejpam-3261	61	3	.	.	PUNCT
ejpam-3261	62	1	[	[	X
ejpam-3261	62	2	6	6	NUM
ejpam-3261	62	3	]	]	PUNCT
ejpam-3261	62	4	in	in	ADP
ejpam-3261	62	5	the	the	DET
ejpam-3261	62	6	g	g	NOUN
ejpam-3261	62	7	-	-	PUNCT
ejpam-3261	62	8	adjoined	adjoin	VERB
ejpam-3261	62	9	structure	structure	NOUN
ejpam-3261	62	10	space	space	NOUN
ejpam-3261	62	11	,	,	PUNCT
ejpam-3261	62	12	the	the	DET
ejpam-3261	62	13	collection	collection	NOUN
ejpam-3261	62	14	of	of	ADP
ejpam-3261	62	15	the	the	DET
ejpam-3261	62	16	structure	structure	NOUN
ejpam-3261	62	17	equations	equation	NOUN
ejpam-3261	62	18	of	of	ADP
ejpam-3261	62	19	lcac∫	lcac∫	NOUN
ejpam-3261	62	20	-manifold	-manifold	ADJ
ejpam-3261	62	21	has	have	VERB
ejpam-3261	62	22	the	the	DET
ejpam-3261	62	23	following	follow	VERB
ejpam-3261	62	24	forms	form	NOUN
ejpam-3261	62	25	:	:	PUNCT
ejpam-3261	62	26	h.	h.	PROPN
ejpam-3261	62	27	m.	m.	PROPN
ejpam-3261	62	28	abood	abood	PROPN
ejpam-3261	62	29	,	,	PUNCT
ejpam-3261	62	30	f.	f.	PROPN
ejpam-3261	62	31	h.	h.	PROPN
ejpam-3261	62	32	j.	j.	PROPN
ejpam-3261	62	33	al	al	PROPN
ejpam-3261	62	34	-	-	PUNCT
ejpam-3261	62	35	hussaini	hussaini	PROPN
ejpam-3261	62	36	/	/	SYM
ejpam-3261	62	37	eur	eur	PROPN
ejpam-3261	62	38	.	.	PUNCT
ejpam-3261	63	1	j.	j.	PROPN
ejpam-3261	63	2	pure	pure	PROPN
ejpam-3261	63	3	appl	appl	PROPN
ejpam-3261	63	4	.	.	PROPN
ejpam-3261	63	5	math	math	PROPN
ejpam-3261	63	6	,	,	PUNCT
ejpam-3261	63	7	11	11	NUM
ejpam-3261	63	8	(	(	PUNCT
ejpam-3261	63	9	3	3	NUM
ejpam-3261	63	10	)	)	PUNCT
ejpam-3261	63	11	(	(	PUNCT
ejpam-3261	63	12	2018	2018	NUM
ejpam-3261	63	13	)	)	PUNCT
ejpam-3261	63	14	,	,	PUNCT
ejpam-3261	63	15	671	671	NUM
ejpam-3261	63	16	-	-	SYM
ejpam-3261	63	17	681	681	NUM
ejpam-3261	63	18	674	674	NUM
ejpam-3261	63	19	(	(	PUNCT
ejpam-3261	63	20	i	i	NOUN
ejpam-3261	63	21	)	)	PUNCT
ejpam-3261	63	22	dωa	dωa	PROPN
ejpam-3261	63	23	=	=	PUNCT
ejpam-3261	63	24	−ωab	−ωab	NOUN
ejpam-3261	63	25	∧	∧	PROPN
ejpam-3261	63	26	ωb	ωb	PROPN
ejpam-3261	64	1	+	+	NOUN
ejpam-3261	64	2	bab	bab	PROPN
ejpam-3261	64	3	c	c	PROPN
ejpam-3261	64	4	ω	ω	PROPN
ejpam-3261	64	5	c	c	PROPN
ejpam-3261	64	6	∧	∧	PROPN
ejpam-3261	64	7	ωb	ωb	PROPN
ejpam-3261	65	1	+	+	NOUN
ejpam-3261	65	2	babcωb	babcωb	PROPN
ejpam-3261	65	3	∧	∧	PROPN
ejpam-3261	65	4	ωc	ωc	PROPN
ejpam-3261	66	1	+	+	NOUN
ejpam-3261	66	2	ba	ba	PROPN
ejpam-3261	66	3	bω	bω	PROPN
ejpam-3261	66	4	∧	∧	PROPN
ejpam-3261	66	5	ωb	ωb	PROPN
ejpam-3261	66	6	+	+	ADJ
ejpam-3261	66	7	babω	babω	NOUN
ejpam-3261	66	8	∧	∧	PROPN
ejpam-3261	66	9	ωb	ωb	NOUN
ejpam-3261	66	10	;	;	PUNCT
ejpam-3261	66	11	(	(	PUNCT
ejpam-3261	66	12	ii	ii	NOUN
ejpam-3261	66	13	)	)	PUNCT
ejpam-3261	66	14	dωa	dωa	NOUN
ejpam-3261	66	15	=	=	SYM
ejpam-3261	66	16	ωba	ωba	NOUN
ejpam-3261	66	17	∧	∧	PROPN
ejpam-3261	66	18	ωb	ωb	PROPN
ejpam-3261	66	19	+	+	ADJ
ejpam-3261	66	20	bc	bc	PROPN
ejpam-3261	66	21	abωc	abωc	NOUN
ejpam-3261	66	22	∧	∧	PROPN
ejpam-3261	66	23	ωb	ωb	ADP
ejpam-3261	66	24	+	+	NOUN
ejpam-3261	66	25	babcω	babcω	NOUN
ejpam-3261	66	26	b	b	X
ejpam-3261	66	27	∧	∧	PROPN
ejpam-3261	66	28	ωc	ωc	PROPN
ejpam-3261	66	29	+	+	NOUN
ejpam-3261	66	30	bb	bb	INTJ
ejpam-3261	66	31	aω	aω	X
ejpam-3261	66	32	∧	∧	PROPN
ejpam-3261	66	33	ωb	ωb	ADP
ejpam-3261	66	34	+	+	ADJ
ejpam-3261	66	35	babω	babω	NOUN
ejpam-3261	66	36	∧	∧	PROPN
ejpam-3261	66	37	ωb	ωb	NOUN
ejpam-3261	66	38	;	;	PUNCT
ejpam-3261	66	39	(	(	PUNCT
ejpam-3261	66	40	iii	iii	X
ejpam-3261	66	41	)	)	PUNCT
ejpam-3261	66	42	dω	dω	NOUN
ejpam-3261	66	43	=	=	SYM
ejpam-3261	66	44	cbω	cbω	NOUN
ejpam-3261	66	45	∧	∧	PROPN
ejpam-3261	66	46	ωb	ωb	PROPN
ejpam-3261	66	47	+	+	CCONJ
ejpam-3261	66	48	cbω	cbω	PROPN
ejpam-3261	66	49	∧	∧	PROPN
ejpam-3261	66	50	ωb	ωb	PROPN
ejpam-3261	66	51	;	;	PUNCT
ejpam-3261	66	52	(	(	PUNCT
ejpam-3261	66	53	iv	iv	X
ejpam-3261	66	54	)	)	PUNCT
ejpam-3261	66	55	dωab	dωab	NOUN
ejpam-3261	66	56	=	=	SYM
ejpam-3261	66	57	−ωac	−ωac	NOUN
ejpam-3261	66	58	∧ωcb	∧ωcb	PROPN
ejpam-3261	66	59	+	+	NOUN
ejpam-3261	66	60	aacdb	aacdb	NOUN
ejpam-3261	66	61	ωc∧ωd+aabcdω	ωc∧ωd+aabcdω	ADP
ejpam-3261	66	62	c∧ωd+aacbdω	c∧ωd+aacbdω	NOUN
ejpam-3261	66	63	d∧ωc+aabc0ω∧ωc+aac0b	d∧ωc+aabc0ω∧ωc+aac0b	PROPN
ejpam-3261	66	64	ω∧ωc	ω∧ωc	NOUN
ejpam-3261	66	65	;	;	PUNCT
ejpam-3261	66	66	where	where	SCONJ
ejpam-3261	66	67	(	(	PUNCT
ejpam-3261	66	68	i	i	NOUN
ejpam-3261	66	69	)	)	PUNCT
ejpam-3261	66	70	b[abc	b[abc	VERB
ejpam-3261	66	71	]	]	X
ejpam-3261	66	72	=	=	SYM
ejpam-3261	66	73	b[abc	b[abc	X
ejpam-3261	66	74	]	]	X
ejpam-3261	66	75	=	=	SYM
ejpam-3261	66	76	0	0	NUM
ejpam-3261	66	77	;	;	PUNCT
ejpam-3261	66	78	(	(	PUNCT
ejpam-3261	66	79	ii	ii	NOUN
ejpam-3261	66	80	)	)	PUNCT
ejpam-3261	66	81	b[ab	b[ab	NOUN
ejpam-3261	66	82	]	]	X
ejpam-3261	66	83	=	=	SYM
ejpam-3261	66	84	b[ab	b[ab	NOUN
ejpam-3261	66	85	]	]	X
ejpam-3261	66	86	=	=	SYM
ejpam-3261	66	87	0	0	NUM
ejpam-3261	66	88	;	;	PUNCT
ejpam-3261	66	89	(	(	PUNCT
ejpam-3261	66	90	iii	iii	X
ejpam-3261	66	91	)	)	PUNCT
ejpam-3261	66	92	ba	ba	PROPN
ejpam-3261	67	1	b	b	X
ejpam-3261	67	2	=	=	NOUN
ejpam-3261	67	3	bb	bb	INTJ
ejpam-3261	68	1	a	a	NOUN
ejpam-3261	68	2	=	=	X
ejpam-3261	68	3	σ0δ	σ0δ	PROPN
ejpam-3261	68	4	b	b	X
ejpam-3261	68	5	a	a	X
ejpam-3261	68	6	;	;	PUNCT
ejpam-3261	68	7	(	(	PUNCT
ejpam-3261	68	8	iv	iv	X
ejpam-3261	68	9	)	)	PUNCT
ejpam-3261	68	10	cab	cab	NOUN
ejpam-3261	68	11	=	=	SYM
ejpam-3261	68	12	cab	cab	NOUN
ejpam-3261	68	13	=	=	SYM
ejpam-3261	68	14	0	0	NUM
ejpam-3261	68	15	;	;	PUNCT
ejpam-3261	68	16	(	(	PUNCT
ejpam-3261	68	17	v	v	NOUN
ejpam-3261	68	18	)	)	PUNCT
ejpam-3261	68	19	bab	bab	PROPN
ejpam-3261	68	20	c	c	NOUN
ejpam-3261	69	1	=	=	SYM
ejpam-3261	70	1	2σ[aδ	2σ[aδ	NUM
ejpam-3261	70	2	b	b	X
ejpam-3261	70	3	]	]	X
ejpam-3261	70	4	c	c	PROPN
ejpam-3261	70	5	,	,	PUNCT
ejpam-3261	70	6	bc	bc	PROPN
ejpam-3261	70	7	ab	ab	PROPN
ejpam-3261	70	8	=	=	PROPN
ejpam-3261	70	9	2σ[aδ	2σ[aδ	PROPN
ejpam-3261	70	10	c	c	PROPN
ejpam-3261	70	11	b	b	NOUN
ejpam-3261	70	12	]	]	X
ejpam-3261	70	13	;	;	PUNCT
ejpam-3261	70	14	(	(	PUNCT
ejpam-3261	70	15	vi	vi	NOUN
ejpam-3261	70	16	)	)	PUNCT
ejpam-3261	70	17	cb	cb	NOUN
ejpam-3261	70	18	=	=	SYM
ejpam-3261	70	19	−σb	−σb	PROPN
ejpam-3261	70	20	,	,	PUNCT
ejpam-3261	70	21	cb	cb	PROPN
ejpam-3261	70	22	=	=	SYM
ejpam-3261	70	23	−σb	−σb	PROPN
ejpam-3261	70	24	;	;	PUNCT
ejpam-3261	70	25	(	(	PUNCT
ejpam-3261	70	26	vii	vii	PROPN
ejpam-3261	70	27	)	)	PUNCT
ejpam-3261	70	28	aacdb	aacdb	NOUN
ejpam-3261	70	29	=	=	PUNCT
ejpam-3261	71	1	2δ	2δ	NUM
ejpam-3261	72	1	[	[	X
ejpam-3261	72	2	c	c	X
ejpam-3261	72	3	b	b	PROPN
ejpam-3261	72	4	σ	σ	PROPN
ejpam-3261	72	5	a]d	a]d	ADP
ejpam-3261	72	6	−	−	PROPN
ejpam-3261	72	7	2δ	2δ	NOUN
ejpam-3261	73	1	[	[	X
ejpam-3261	73	2	d	d	X
ejpam-3261	73	3	b	b	PROPN
ejpam-3261	73	4	σ	σ	X
ejpam-3261	73	5	a]c	a]c	X
ejpam-3261	74	1	+	+	PUNCT
ejpam-3261	74	2	bacd	bacd	NOUN
ejpam-3261	74	3	b	b	NOUN
ejpam-3261	74	4	−	−	NOUN
ejpam-3261	75	1	2σaδ	2σaδ	NUM
ejpam-3261	76	1	[	[	X
ejpam-3261	76	2	d	d	X
ejpam-3261	76	3	b	b	PROPN
ejpam-3261	76	4	σ	σ	PROPN
ejpam-3261	76	5	c	c	NOUN
ejpam-3261	76	6	]	]	X
ejpam-3261	76	7	−	−	PROPN
ejpam-3261	76	8	2σeb	2σeb	NUM
ejpam-3261	76	9	ae[dδ	ae[dδ	NOUN
ejpam-3261	76	10	c	c	NOUN
ejpam-3261	76	11	]	]	X
ejpam-3261	76	12	b	b	NOUN
ejpam-3261	77	1	+	+	CCONJ
ejpam-3261	77	2	2σbb	2σbb	PROPN
ejpam-3261	77	3	abc	abc	X
ejpam-3261	77	4	;	;	PUNCT
ejpam-3261	77	5	(	(	PUNCT
ejpam-3261	77	6	viii	viii	NOUN
ejpam-3261	77	7	)	)	PUNCT
ejpam-3261	77	8	a	a	PRON
ejpam-3261	78	1	[	[	X
ejpam-3261	78	2	acd	acd	X
ejpam-3261	78	3	]	]	X
ejpam-3261	78	4	b	b	NOUN
ejpam-3261	78	5	=	=	SYM
ejpam-3261	78	6	σeb	σeb	NOUN
ejpam-3261	78	7	e[daδ	e[daδ	X
ejpam-3261	78	8	c	c	X
ejpam-3261	78	9	]	]	X
ejpam-3261	78	10	b	b	NOUN
ejpam-3261	78	11	;	;	PUNCT
ejpam-3261	78	12	(	(	PUNCT
ejpam-3261	78	13	ix	ix	ADJ
ejpam-3261	78	14	)	)	PUNCT
ejpam-3261	78	15	aac[bd	aac[bd	PROPN
ejpam-3261	78	16	]	]	X
ejpam-3261	78	17	=	=	PUNCT
ejpam-3261	78	18	−2δ	−2δ	PUNCT
ejpam-3261	79	1	[	[	X
ejpam-3261	79	2	c	c	X
ejpam-3261	79	3	[	[	X
ejpam-3261	79	4	bσ	bσ	X
ejpam-3261	79	5	a	a	X
ejpam-3261	79	6	]	]	X
ejpam-3261	79	7	d	d	X
ejpam-3261	79	8	]	]	X
ejpam-3261	79	9	+	+	CCONJ
ejpam-3261	80	1	2σ[aδ	2σ[aδ	NUM
ejpam-3261	80	2	e	e	NOUN
ejpam-3261	80	3	]	]	X
ejpam-3261	80	4	b	b	X
ejpam-3261	81	1	σ[eδ	σ[eδ	NOUN
ejpam-3261	81	2	c	c	PROPN
ejpam-3261	82	1	d	d	NOUN
ejpam-3261	82	2	]	]	X
ejpam-3261	82	3	−	−	PROPN
ejpam-3261	82	4	2σ[aδ	2σ[aδ	NUM
ejpam-3261	82	5	e	e	NOUN
ejpam-3261	82	6	]	]	X
ejpam-3261	82	7	d	d	PROPN
ejpam-3261	82	8	σ[eδ	σ[eδ	NOUN
ejpam-3261	82	9	c	c	PROPN
ejpam-3261	82	10	b	b	X
ejpam-3261	82	11	]	]	X
ejpam-3261	82	12	+	+	CCONJ
ejpam-3261	82	13	1	1	NUM
ejpam-3261	82	14	2	2	NUM
ejpam-3261	82	15	baecbebd	baecbebd	NOUN
ejpam-3261	82	16	;	;	PUNCT
ejpam-3261	82	17	(	(	PUNCT
ejpam-3261	82	18	x	x	X
ejpam-3261	82	19	)	)	PUNCT
ejpam-3261	82	20	aac0b	aac0b	PROPN
ejpam-3261	83	1	=	=	PUNCT
ejpam-3261	83	2	−2δ	−2δ	PUNCT
ejpam-3261	84	1	[	[	X
ejpam-3261	84	2	c	c	NOUN
ejpam-3261	84	3	b	b	PROPN
ejpam-3261	84	4	σ	σ	PRON
ejpam-3261	84	5	a]0	a]0	PROPN
ejpam-3261	84	6	+	+	PROPN
ejpam-3261	84	7	dac	dac	PROPN
ejpam-3261	84	8	b	b	PROPN
ejpam-3261	84	9	−	−	NOUN
ejpam-3261	84	10	δabσc0	δabσc0	NOUN
ejpam-3261	85	1	−	−	NOUN
ejpam-3261	85	2	2baecbeb	2baecbeb	NUM
ejpam-3261	86	1	−	−	NOUN
ejpam-3261	86	2	σaσ0δ	σaσ0δ	PROPN
ejpam-3261	86	3	c	c	PROPN
ejpam-3261	86	4	b	b	PROPN
ejpam-3261	86	5	+	+	NUM
ejpam-3261	86	6	2bacσb	2bacσb	NUM
ejpam-3261	86	7	−baeσeδ	−baeσeδ	NOUN
ejpam-3261	86	8	c	c	PROPN
ejpam-3261	86	9	b	b	NOUN
ejpam-3261	86	10	;	;	PUNCT
ejpam-3261	86	11	(	(	PUNCT
ejpam-3261	86	12	xi	xi	X
ejpam-3261	86	13	)	)	PUNCT
ejpam-3261	86	14	a	a	DET
ejpam-3261	86	15	[	[	X
ejpam-3261	86	16	ac]0	ac]0	X
ejpam-3261	86	17	b	b	NOUN
ejpam-3261	86	18	=	=	SYM
ejpam-3261	86	19	σ	σ	PROPN
ejpam-3261	87	1	[	[	X
ejpam-3261	87	2	c	c	X
ejpam-3261	87	3	0	0	PUNCT
ejpam-3261	87	4	δ	δ	PROPN
ejpam-3261	87	5	a	a	X
ejpam-3261	87	6	]	]	X
ejpam-3261	87	7	b	b	X
ejpam-3261	87	8	−	−	PROPN
ejpam-3261	87	9	σdδ	σdδ	NOUN
ejpam-3261	88	1	[	[	X
ejpam-3261	88	2	a	a	DET
ejpam-3261	88	3	b	b	PROPN
ejpam-3261	88	4	b	b	X
ejpam-3261	88	5	d]c	d]c	NOUN
ejpam-3261	88	6	+	+	NUM
ejpam-3261	88	7	σ0σ	σ0σ	NOUN
ejpam-3261	88	8	[	[	X
ejpam-3261	88	9	cδ	cδ	NOUN
ejpam-3261	88	10	a	a	PRON
ejpam-3261	88	11	]	]	X
ejpam-3261	88	12	b	b	NOUN
ejpam-3261	88	13	+	+	CCONJ
ejpam-3261	88	14	1	1	NUM
ejpam-3261	88	15	2	2	NUM
ejpam-3261	88	16	bdcabbd	bdcabbd	NOUN
ejpam-3261	88	17	;	;	PUNCT
ejpam-3261	88	18	(	(	PUNCT
ejpam-3261	88	19	xii	xii	NOUN
ejpam-3261	88	20	)	)	PUNCT
ejpam-3261	88	21	ba[bcd	ba[bcd	NOUN
ejpam-3261	88	22	]	]	PUNCT
ejpam-3261	88	23	=	=	SYM
ejpam-3261	88	24	−ba[dbσc	−ba[dbσc	X
ejpam-3261	88	25	]	]	X
ejpam-3261	88	26	;	;	PUNCT
ejpam-3261	88	27	(	(	PUNCT
ejpam-3261	88	28	xiii	xiii	PROPN
ejpam-3261	88	29	)	)	PUNCT
ejpam-3261	88	30	babc0	babc0	X
ejpam-3261	89	1	=	=	PUNCT
ejpam-3261	90	1	−2da[bc	−2da[bc	NUM
ejpam-3261	90	2	]	]	X
ejpam-3261	90	3	−badcσ0	−badcσ0	NUM
ejpam-3261	90	4	;	;	PUNCT
ejpam-3261	90	5	(	(	PUNCT
ejpam-3261	90	6	xiv	xiv	NOUN
ejpam-3261	90	7	)	)	PUNCT
ejpam-3261	90	8	σ[cd	σ[cd	PROPN
ejpam-3261	90	9	]	]	X
ejpam-3261	90	10	=	=	PUNCT
ejpam-3261	90	11	σbb	σbb	ADJ
ejpam-3261	90	12	bcd	bcd	PROPN
ejpam-3261	90	13	.	.	PUNCT
ejpam-3261	91	1	here	here	ADV
ejpam-3261	91	2	babc	babc	PROPN
ejpam-3261	91	3	,	,	PUNCT
ejpam-3261	91	4	babc	babc	PROPN
ejpam-3261	91	5	;	;	PUNCT
ejpam-3261	91	6	b	b	PROPN
ejpam-3261	91	7	ab	ab	PROPN
ejpam-3261	91	8	,	,	PUNCT
ejpam-3261	91	9	bab	bab	PROPN
ejpam-3261	91	10	;	;	PUNCT
ejpam-3261	91	11	b	b	PROPN
ejpam-3261	91	12	a	a	DET
ejpam-3261	91	13	b	b	NOUN
ejpam-3261	91	14	,	,	PUNCT
ejpam-3261	91	15	bb	bb	PROPN
ejpam-3261	91	16	a	a	NOUN
ejpam-3261	91	17	;	;	PUNCT
ejpam-3261	91	18	cab	cab	NOUN
ejpam-3261	91	19	,	,	PUNCT
ejpam-3261	91	20	cab	cab	NOUN
ejpam-3261	91	21	;	;	PUNCT
ejpam-3261	91	22	c	c	PROPN
ejpam-3261	91	23	b	b	PROPN
ejpam-3261	91	24	,	,	PUNCT
ejpam-3261	91	25	cb	cb	PROPN
ejpam-3261	91	26	;	;	PUNCT
ejpam-3261	91	27	a	a	DET
ejpam-3261	91	28	acd	acd	NOUN
ejpam-3261	91	29	b	b	NOUN
ejpam-3261	91	30	,	,	PUNCT
ejpam-3261	91	31	abacd	abacd	NOUN
ejpam-3261	91	32	;	;	PUNCT
ejpam-3261	91	33	a	a	DET
ejpam-3261	91	34	ac	ac	PROPN
ejpam-3261	91	35	bd	bd	PROPN
ejpam-3261	91	36	;	;	PUNCT
ejpam-3261	91	37	aac0b	aac0b	PROPN
ejpam-3261	91	38	,	,	PUNCT
ejpam-3261	91	39	abac0	abac0	PROPN
ejpam-3261	91	40	;	;	PUNCT
ejpam-3261	91	41	babci	babci	NOUN
ejpam-3261	91	42	,	,	PUNCT
ejpam-3261	91	43	babci	babci	NOUN
ejpam-3261	91	44	;	;	PUNCT
ejpam-3261	91	45	d	d	PROPN
ejpam-3261	91	46	abi	abi	PROPN
ejpam-3261	91	47	,	,	PUNCT
ejpam-3261	91	48	dabi	dabi	PROPN
ejpam-3261	91	49	and	and	CCONJ
ejpam-3261	91	50	σij	σij	PROPN
ejpam-3261	91	51	are	be	AUX
ejpam-3261	91	52	smooth	smooth	ADJ
ejpam-3261	91	53	functions	function	NOUN
ejpam-3261	91	54	in	in	ADP
ejpam-3261	91	55	the	the	DET
ejpam-3261	91	56	g	g	NOUN
ejpam-3261	91	57	-	-	PUNCT
ejpam-3261	91	58	adjoined	adjoin	VERB
ejpam-3261	91	59	structure	structure	NOUN
ejpam-3261	91	60	space	space	NOUN
ejpam-3261	91	61	.	.	PUNCT
ejpam-3261	92	1	the	the	DET
ejpam-3261	92	2	following	follow	VERB
ejpam-3261	92	3	lemma	lemma	PROPN
ejpam-3261	92	4	gives	give	VERB
ejpam-3261	92	5	the	the	DET
ejpam-3261	92	6	expression	expression	NOUN
ejpam-3261	92	7	for	for	ADP
ejpam-3261	92	8	the	the	DET
ejpam-3261	92	9	nonzero	nonzero	PROPN
ejpam-3261	92	10	components	component	NOUN
ejpam-3261	92	11	of	of	ADP
ejpam-3261	92	12	riemannian	riemannian	ADJ
ejpam-3261	92	13	curvature	curvature	NOUN
ejpam-3261	92	14	tensor	tensor	NOUN
ejpam-3261	92	15	of	of	ADP
ejpam-3261	92	16	lcac∫	lcac∫	NOUN
ejpam-3261	92	17	-manifold	-manifold	VERB
ejpam-3261	92	18	in	in	ADP
ejpam-3261	92	19	the	the	DET
ejpam-3261	92	20	g	g	NOUN
ejpam-3261	92	21	-	-	PUNCT
ejpam-3261	92	22	adjoined	adjoin	VERB
ejpam-3261	92	23	structure	structure	NOUN
ejpam-3261	92	24	space	space	NOUN
ejpam-3261	92	25	.	.	PUNCT
ejpam-3261	93	1	lemma	lemma	PROPN
ejpam-3261	93	2	2.3	2.3	NUM
ejpam-3261	93	3	.	.	PUNCT
ejpam-3261	94	1	[	[	X
ejpam-3261	94	2	6	6	NUM
ejpam-3261	94	3	]	]	PUNCT
ejpam-3261	94	4	in	in	ADP
ejpam-3261	94	5	the	the	DET
ejpam-3261	94	6	g	g	NOUN
ejpam-3261	94	7	-	-	PUNCT
ejpam-3261	94	8	adjoined	adjoin	VERB
ejpam-3261	94	9	structure	structure	NOUN
ejpam-3261	94	10	space	space	NOUN
ejpam-3261	94	11	,	,	PUNCT
ejpam-3261	94	12	the	the	DET
ejpam-3261	94	13	components	component	NOUN
ejpam-3261	94	14	of	of	ADP
ejpam-3261	94	15	riemannian	riemannian	ADJ
ejpam-3261	94	16	curvature	curvature	NOUN
ejpam-3261	94	17	tensor	tensor	NOUN
ejpam-3261	94	18	of	of	ADP
ejpam-3261	94	19	lcac∫	lcac∫	NOUN
ejpam-3261	94	20	-manifold	-manifold	ADJ
ejpam-3261	94	21	have	have	VERB
ejpam-3261	94	22	the	the	DET
ejpam-3261	94	23	following	follow	VERB
ejpam-3261	94	24	forms	form	NOUN
ejpam-3261	94	25	:	:	PUNCT
ejpam-3261	94	26	(	(	PUNCT
ejpam-3261	94	27	i	i	NOUN
ejpam-3261	94	28	)	)	PUNCT
ejpam-3261	94	29	rabcd	rabcd	VERB
ejpam-3261	94	30	=	=	SYM
ejpam-3261	94	31	2(aabcd	2(aabcd	NUM
ejpam-3261	95	1	+	+	CCONJ
ejpam-3261	95	2	4σ[aδ	4σ[aδ	NUM
ejpam-3261	95	3	h	h	NOUN
ejpam-3261	95	4	]	]	X
ejpam-3261	96	1	[	[	X
ejpam-3261	96	2	cbd]hb	cbd]hb	NOUN
ejpam-3261	96	3	−	−	PROPN
ejpam-3261	96	4	σ0bb[dδ	σ0bb[dδ	PROPN
ejpam-3261	96	5	a	a	DET
ejpam-3261	96	6	c	c	NOUN
ejpam-3261	96	7	]	]	PUNCT
ejpam-3261	96	8	)	)	PUNCT
ejpam-3261	96	9	;	;	PUNCT
ejpam-3261	96	10	h.	h.	PROPN
ejpam-3261	96	11	m.	m.	PROPN
ejpam-3261	96	12	abood	abood	PROPN
ejpam-3261	96	13	,	,	PUNCT
ejpam-3261	96	14	f.	f.	PROPN
ejpam-3261	96	15	h.	h.	PROPN
ejpam-3261	96	16	j.	j.	PROPN
ejpam-3261	96	17	al	al	PROPN
ejpam-3261	96	18	-	-	PUNCT
ejpam-3261	96	19	hussaini	hussaini	PROPN
ejpam-3261	96	20	/	/	SYM
ejpam-3261	96	21	eur	eur	PROPN
ejpam-3261	96	22	.	.	PUNCT
ejpam-3261	97	1	j.	j.	PROPN
ejpam-3261	97	2	pure	pure	PROPN
ejpam-3261	97	3	appl	appl	PROPN
ejpam-3261	97	4	.	.	PROPN
ejpam-3261	97	5	math	math	PROPN
ejpam-3261	97	6	,	,	PUNCT
ejpam-3261	97	7	11	11	NUM
ejpam-3261	97	8	(	(	PUNCT
ejpam-3261	97	9	3	3	NUM
ejpam-3261	97	10	)	)	PUNCT
ejpam-3261	97	11	(	(	PUNCT
ejpam-3261	97	12	2018	2018	NUM
ejpam-3261	97	13	)	)	PUNCT
ejpam-3261	97	14	,	,	PUNCT
ejpam-3261	97	15	671	671	NUM
ejpam-3261	97	16	-	-	SYM
ejpam-3261	97	17	681	681	NUM
ejpam-3261	97	18	675	675	NUM
ejpam-3261	97	19	(	(	PUNCT
ejpam-3261	97	20	ii	ii	NOUN
ejpam-3261	97	21	)	)	PUNCT
ejpam-3261	97	22	ra	ra	PROPN
ejpam-3261	97	23	b̂cd	b̂cd	ADJ
ejpam-3261	97	24	=	=	PUNCT
ejpam-3261	98	1	2(2δ	2(2δ	NUM
ejpam-3261	99	1	[	[	X
ejpam-3261	99	2	b	b	X
ejpam-3261	99	3	[	[	X
ejpam-3261	99	4	cσ	cσ	INTJ
ejpam-3261	99	5	a	a	X
ejpam-3261	99	6	]	]	X
ejpam-3261	99	7	d	d	X
ejpam-3261	99	8	]	]	X
ejpam-3261	99	9	+	+	NUM
ejpam-3261	99	10	2bhabbhdc	2bhabbhdc	NUM
ejpam-3261	99	11	−	−	NOUN
ejpam-3261	99	12	δa[cδ	δa[cδ	PROPN
ejpam-3261	99	13	b	b	PROPN
ejpam-3261	99	14	d]σ	d]σ	VERB
ejpam-3261	99	15	2	2	NUM
ejpam-3261	99	16	0	0	NUM
ejpam-3261	99	17	)	)	PUNCT
ejpam-3261	99	18	;	;	PUNCT
ejpam-3261	99	19	(	(	PUNCT
ejpam-3261	99	20	iii	iii	X
ejpam-3261	99	21	)	)	PUNCT
ejpam-3261	99	22	ra	ra	NOUN
ejpam-3261	99	23	bcd̂	bcd̂	PROPN
ejpam-3261	99	24	=	=	SYM
ejpam-3261	99	25	aadbc	aadbc	PROPN
ejpam-3261	99	26	+	+	CCONJ
ejpam-3261	99	27	4σ[aδ	4σ[aδ	NUM
ejpam-3261	99	28	h	h	NOUN
ejpam-3261	99	29	]	]	X
ejpam-3261	99	30	c	c	PROPN
ejpam-3261	100	1	σ[hδ	σ[hδ	PROPN
ejpam-3261	100	2	d	d	PROPN
ejpam-3261	100	3	b	b	X
ejpam-3261	100	4	]	]	X
ejpam-3261	100	5	−	−	PROPN
ejpam-3261	100	6	4bdahbchb	4bdahbchb	NUM
ejpam-3261	100	7	+	+	NOUN
ejpam-3261	100	8	badbbc	badbbc	NOUN
ejpam-3261	100	9	−	−	PROPN
ejpam-3261	100	10	δac	δac	NOUN
ejpam-3261	100	11	δdbσ2	δdbσ2	NOUN
ejpam-3261	100	12	0	0	NUM
ejpam-3261	100	13	;	;	PUNCT
ejpam-3261	100	14	(	(	PUNCT
ejpam-3261	100	15	iv	iv	X
ejpam-3261	100	16	)	)	PUNCT
ejpam-3261	100	17	râbcd	râbcd	NOUN
ejpam-3261	100	18	=	=	PUNCT
ejpam-3261	100	19	2(2b[c|ab|d	2(2b[c|ab|d	NOUN
ejpam-3261	100	20	]	]	X
ejpam-3261	100	21	−	−	PROPN
ejpam-3261	100	22	2σ[abb]cd	2σ[abb]cd	NUM
ejpam-3261	100	23	+	+	NOUN
ejpam-3261	100	24	ba[cbd]b	ba[cbd]b	NOUN
ejpam-3261	100	25	)	)	PUNCT
ejpam-3261	100	26	;	;	PUNCT
ejpam-3261	100	27	(	(	PUNCT
ejpam-3261	100	28	v	v	NOUN
ejpam-3261	100	29	)	)	PUNCT
ejpam-3261	100	30	ra0cd	ra0cd	NOUN
ejpam-3261	100	31	=	=	NOUN
ejpam-3261	101	1	2(σ0[cδ	2(σ0[cδ	NUM
ejpam-3261	102	1	a	a	DET
ejpam-3261	102	2	d	d	X
ejpam-3261	102	3	]	]	X
ejpam-3261	103	1	+	+	ADJ
ejpam-3261	103	2	babbbcd	babbbcd	NOUN
ejpam-3261	103	3	−	−	PROPN
ejpam-3261	103	4	2σ[aδ	2σ[aδ	NUM
ejpam-3261	103	5	h	h	NOUN
ejpam-3261	103	6	]	]	X
ejpam-3261	103	7	[	[	X
ejpam-3261	103	8	cbd]h	cbd]h	X
ejpam-3261	103	9	)	)	PUNCT
ejpam-3261	103	10	;	;	PUNCT
ejpam-3261	103	11	(	(	PUNCT
ejpam-3261	103	12	vi	vi	NOUN
ejpam-3261	103	13	)	)	PUNCT
ejpam-3261	103	14	rabĉ0	rabĉ0	NUM
ejpam-3261	103	15	=	=	PUNCT
ejpam-3261	103	16	aac0b	aac0b	PROPN
ejpam-3261	104	1	+	+	CCONJ
ejpam-3261	104	2	σbb	σbb	ADJ
ejpam-3261	104	3	ac	ac	PROPN
ejpam-3261	104	4	−	−	PROPN
ejpam-3261	104	5	δcbσ0σ	δcbσ0σ	PROPN
ejpam-3261	104	6	a	a	PRON
ejpam-3261	104	7	;	;	PUNCT
ejpam-3261	104	8	(	(	PUNCT
ejpam-3261	104	9	vii	vii	PROPN
ejpam-3261	104	10	)	)	PUNCT
ejpam-3261	104	11	râbc0	râbc0	PROPN
ejpam-3261	104	12	=	=	PUNCT
ejpam-3261	105	1	2bcab0	2bcab0	NUM
ejpam-3261	105	2	+	+	SYM
ejpam-3261	105	3	2bcabσ0	2bcabσ0	NUM
ejpam-3261	105	4	;	;	PUNCT
ejpam-3261	105	5	(	(	PUNCT
ejpam-3261	105	6	viii	viii	NOUN
ejpam-3261	105	7	)	)	PUNCT
ejpam-3261	105	8	ra0b0	ra0b0	PROPN
ejpam-3261	105	9	=	=	PUNCT
ejpam-3261	105	10	−δabσ00	−δabσ00	NOUN
ejpam-3261	105	11	−	−	PROPN
ejpam-3261	105	12	δabσ2	δabσ2	NOUN
ejpam-3261	105	13	0	0	PUNCT
ejpam-3261	105	14	−bcbbac	−bcbbac	PROPN
ejpam-3261	106	1	−	−	PROPN
ejpam-3261	106	2	σab	σab	ADJ
ejpam-3261	106	3	−	−	PROPN
ejpam-3261	106	4	σaσb	σaσb	VERB
ejpam-3261	106	5	+	+	CCONJ
ejpam-3261	106	6	2σ[aδ	2σ[aδ	NUM
ejpam-3261	106	7	c	c	X
ejpam-3261	106	8	]	]	X
ejpam-3261	106	9	b	b	X
ejpam-3261	106	10	σc	σc	NOUN
ejpam-3261	106	11	;	;	PUNCT
ejpam-3261	106	12	(	(	PUNCT
ejpam-3261	106	13	ix	ix	PROPN
ejpam-3261	106	14	)	)	PUNCT
ejpam-3261	106	15	ra	ra	PROPN
ejpam-3261	106	16	0b̂0	0b̂0	NUM
ejpam-3261	107	1	=	=	SYM
ejpam-3261	107	2	2σ0b	2σ0b	PROPN
ejpam-3261	108	1	ab	ab	PROPN
ejpam-3261	108	2	−dab0	−dab0	PROPN
ejpam-3261	109	1	−	−	PROPN
ejpam-3261	109	2	σab	σab	ADJ
ejpam-3261	109	3	−	−	PROPN
ejpam-3261	109	4	σaσb	σaσb	VERB
ejpam-3261	109	5	+	+	CCONJ
ejpam-3261	110	1	2bbacσc	2bbacσc	X
ejpam-3261	110	2	.	.	NOUN
ejpam-3261	110	3	and	and	CCONJ
ejpam-3261	110	4	the	the	DET
ejpam-3261	110	5	other	other	ADJ
ejpam-3261	110	6	components	component	NOUN
ejpam-3261	110	7	are	be	AUX
ejpam-3261	110	8	conjugate	conjugate	ADJ
ejpam-3261	110	9	to	to	ADP
ejpam-3261	110	10	the	the	DET
ejpam-3261	110	11	above	above	ADJ
ejpam-3261	110	12	components	component	NOUN
ejpam-3261	110	13	or	or	CCONJ
ejpam-3261	110	14	can	can	AUX
ejpam-3261	110	15	be	be	AUX
ejpam-3261	110	16	obtained	obtain	VERB
ejpam-3261	110	17	by	by	ADP
ejpam-3261	110	18	the	the	DET
ejpam-3261	110	19	property	property	NOUN
ejpam-3261	110	20	of	of	ADP
ejpam-3261	110	21	symmetry	symmetry	NOUN
ejpam-3261	110	22	for	for	ADP
ejpam-3261	110	23	r	r	NOUN
ejpam-3261	110	24	or	or	CCONJ
ejpam-3261	110	25	equal	equal	ADJ
ejpam-3261	110	26	to	to	ADP
ejpam-3261	110	27	zero	zero	NUM
ejpam-3261	110	28	.	.	PUNCT
ejpam-3261	111	1	definition	definition	NOUN
ejpam-3261	111	2	2.9	2.9	NUM
ejpam-3261	111	3	.	.	PUNCT
ejpam-3261	112	1	[	[	X
ejpam-3261	112	2	3	3	X
ejpam-3261	112	3	]	]	X
ejpam-3261	112	4	a	a	DET
ejpam-3261	112	5	ricci	ricci	PROPN
ejpam-3261	112	6	tensor	tensor	NOUN
ejpam-3261	112	7	is	be	AUX
ejpam-3261	112	8	a	a	DET
ejpam-3261	112	9	tensor	tensor	NOUN
ejpam-3261	112	10	of	of	ADP
ejpam-3261	112	11	type	type	NOUN
ejpam-3261	112	12	(	(	PUNCT
ejpam-3261	112	13	2,0	2,0	NOUN
ejpam-3261	112	14	)	)	PUNCT
ejpam-3261	112	15	which	which	PRON
ejpam-3261	112	16	is	be	AUX
ejpam-3261	112	17	defined	define	VERB
ejpam-3261	112	18	by	by	ADP
ejpam-3261	112	19	rij	rij	PROPN
ejpam-3261	112	20	=	=	PUNCT
ejpam-3261	112	21	−rkijk	−rkijk	X
ejpam-3261	112	22	lemma	lemma	PROPN
ejpam-3261	112	23	2.4	2.4	NUM
ejpam-3261	112	24	.	.	PUNCT
ejpam-3261	113	1	in	in	ADP
ejpam-3261	113	2	the	the	DET
ejpam-3261	113	3	g	g	NOUN
ejpam-3261	113	4	-	-	PUNCT
ejpam-3261	113	5	adjoined	adjoin	VERB
ejpam-3261	113	6	structure	structure	NOUN
ejpam-3261	113	7	space	space	NOUN
ejpam-3261	113	8	,	,	PUNCT
ejpam-3261	113	9	the	the	DET
ejpam-3261	113	10	components	component	NOUN
ejpam-3261	113	11	of	of	ADP
ejpam-3261	113	12	the	the	DET
ejpam-3261	113	13	ricci	ricci	PROPN
ejpam-3261	113	14	tensor	tensor	NOUN
ejpam-3261	113	15	of	of	ADP
ejpam-3261	113	16	lcac∫	lcac∫	NOUN
ejpam-3261	113	17	-manifold	-manifold	ADJ
ejpam-3261	113	18	are	be	AUX
ejpam-3261	113	19	given	give	VERB
ejpam-3261	113	20	by	by	ADP
ejpam-3261	113	21	the	the	DET
ejpam-3261	113	22	following	follow	VERB
ejpam-3261	113	23	forms	form	NOUN
ejpam-3261	113	24	:	:	PUNCT
ejpam-3261	113	25	(	(	PUNCT
ejpam-3261	113	26	i	i	NOUN
ejpam-3261	113	27	)	)	PUNCT
ejpam-3261	113	28	rab	rab	PROPN
ejpam-3261	113	29	=	=	PROPN
ejpam-3261	113	30	2(−2ac(ab)c	2(−2ac(ab)c	NUM
ejpam-3261	113	31	−	−	NUM
ejpam-3261	113	32	4(σ[cδ	4(σ[cδ	NUM
ejpam-3261	113	33	h	h	NOUN
ejpam-3261	113	34	]	]	X
ejpam-3261	114	1	[	[	X
ejpam-3261	114	2	bbc]ha	bbc]ha	X
ejpam-3261	114	3	+	+	CCONJ
ejpam-3261	114	4	σ[cδ	σ[cδ	NOUN
ejpam-3261	114	5	h	h	NOUN
ejpam-3261	114	6	]	]	X
ejpam-3261	115	1	[	[	X
ejpam-3261	115	2	abc]hb	abc]hb	X
ejpam-3261	115	3	)	)	PUNCT
ejpam-3261	115	4	+	+	CCONJ
ejpam-3261	116	1	σ0ba[cδ	σ0ba[cδ	PROPN
ejpam-3261	116	2	c	c	PROPN
ejpam-3261	116	3	b	b	NOUN
ejpam-3261	116	4	]	]	X
ejpam-3261	116	5	+	+	CCONJ
ejpam-3261	117	1	σ0bb[cδ	σ0bb[cδ	PROPN
ejpam-3261	117	2	c	c	PROPN
ejpam-3261	117	3	a	a	X
ejpam-3261	117	4	]	]	X
ejpam-3261	117	5	+	+	CCONJ
ejpam-3261	117	6	2σ0bab	2σ0bab	NUM
ejpam-3261	117	7	−	−	PROPN
ejpam-3261	117	8	dab0	dab0	NOUN
ejpam-3261	117	9	−	−	PROPN
ejpam-3261	117	10	σab	σab	ADJ
ejpam-3261	117	11	−	−	PROPN
ejpam-3261	117	12	σaσb	σaσb	VERB
ejpam-3261	117	13	+	+	CCONJ
ejpam-3261	117	14	2bbahσ	2bbahσ	NUM
ejpam-3261	117	15	h	h	NOUN
ejpam-3261	117	16	;	;	PUNCT
ejpam-3261	117	17	(	(	PUNCT
ejpam-3261	117	18	ii	ii	NOUN
ejpam-3261	117	19	)	)	PUNCT
ejpam-3261	117	20	râb	râb	PROPN
ejpam-3261	117	21	=	=	PUNCT
ejpam-3261	117	22	−4(δ	−4(δ	NOUN
ejpam-3261	118	1	[	[	X
ejpam-3261	118	2	a	a	DET
ejpam-3261	118	3	[	[	X
ejpam-3261	118	4	bσ	bσ	X
ejpam-3261	118	5	c	c	NOUN
ejpam-3261	118	6	]	]	X
ejpam-3261	118	7	c	c	X
ejpam-3261	118	8	]	]	X
ejpam-3261	118	9	−	−	PROPN
ejpam-3261	119	1	σ[cδ	σ[cδ	NOUN
ejpam-3261	119	2	b	b	PROPN
ejpam-3261	119	3	h]σ	h]σ	VERB
ejpam-3261	120	1	[	[	X
ejpam-3261	120	2	hδ	hδ	X
ejpam-3261	120	3	a	a	X
ejpam-3261	120	4	]	]	X
ejpam-3261	120	5	c	c	NOUN
ejpam-3261	120	6	−	−	PROPN
ejpam-3261	120	7	1	1	NUM
ejpam-3261	120	8	2	2	NUM
ejpam-3261	120	9	σ[aδ	σ[aδ	PROPN
ejpam-3261	120	10	h	h	NOUN
ejpam-3261	120	11	]	]	X
ejpam-3261	120	12	b	b	X
ejpam-3261	120	13	σh	σh	ADP
ejpam-3261	120	14	+	+	NOUN
ejpam-3261	120	15	bhcabhcb	bhcabhcb	NOUN
ejpam-3261	120	16	+	+	CCONJ
ejpam-3261	120	17	bbchbcha	bbchbcha	NOUN
ejpam-3261	120	18	)	)	PUNCT
ejpam-3261	121	1	+	+	CCONJ
ejpam-3261	121	2	(	(	PUNCT
ejpam-3261	121	3	bcbbac	bcbbac	NOUN
ejpam-3261	121	4	−	−	PROPN
ejpam-3261	121	5	bhbb	bhbb	NOUN
ejpam-3261	121	6	ah	ah	INTJ
ejpam-3261	121	7	)	)	PUNCT
ejpam-3261	122	1	+	+	ADJ
ejpam-3261	122	2	acbac	acbac	ADJ
ejpam-3261	122	3	−	−	PROPN
ejpam-3261	122	4	δabσ00	δabσ00	NOUN
ejpam-3261	122	5	−	−	NOUN
ejpam-3261	122	6	2nσ2	2nσ2	NUM
ejpam-3261	122	7	0	0	NUM
ejpam-3261	122	8	−	−	NOUN
ejpam-3261	122	9	σab	σab	ADJ
ejpam-3261	122	10	−	−	PROPN
ejpam-3261	122	11	σaσb	σaσb	NOUN
ejpam-3261	122	12	;	;	PUNCT
ejpam-3261	122	13	(	(	PUNCT
ejpam-3261	122	14	iii	iii	X
ejpam-3261	122	15	)	)	PUNCT
ejpam-3261	122	16	ra0	ra0	NOUN
ejpam-3261	122	17	=	=	SYM
ejpam-3261	122	18	−acac0	−acac0	PUNCT
ejpam-3261	122	19	−	−	NOUN
ejpam-3261	122	20	σcbac	σcbac	ADJ
ejpam-3261	122	21	+	+	CCONJ
ejpam-3261	122	22	nσ0σa	nσ0σa	NUM
ejpam-3261	122	23	+	+	CCONJ
ejpam-3261	122	24	2(σ0[cδ	2(σ0[cδ	NUM
ejpam-3261	122	25	c	c	NOUN
ejpam-3261	122	26	a	a	X
ejpam-3261	122	27	]	]	X
ejpam-3261	122	28	+	+	NOUN
ejpam-3261	122	29	bcbbbca	bcbbbca	NOUN
ejpam-3261	122	30	−	−	PROPN
ejpam-3261	123	1	2σ[cδ	2σ[cδ	NUM
ejpam-3261	123	2	h	h	NOUN
ejpam-3261	123	3	]	]	X
ejpam-3261	124	1	[	[	X
ejpam-3261	124	2	cba]h	cba]h	PROPN
ejpam-3261	124	3	)	)	PUNCT
ejpam-3261	124	4	;	;	PUNCT
ejpam-3261	124	5	(	(	PUNCT
ejpam-3261	124	6	iv	iv	X
ejpam-3261	124	7	)	)	PUNCT
ejpam-3261	124	8	roo	roo	PROPN
ejpam-3261	124	9	=	=	PROPN
ejpam-3261	124	10	−2n(σ00	−2n(σ00	PROPN
ejpam-3261	125	1	+	+	PROPN
ejpam-3261	125	2	σ2	σ2	PROPN
ejpam-3261	125	3	0)−	0)−	PROPN
ejpam-3261	125	4	2bhcb	2bhcb	PROPN
ejpam-3261	125	5	ch	ch	NOUN
ejpam-3261	125	6	−	−	PROPN
ejpam-3261	125	7	2(σcc	2(σcc	PROPN
ejpam-3261	126	1	+	+	CCONJ
ejpam-3261	126	2	σcσc	σcσc	PROPN
ejpam-3261	126	3	)	)	PUNCT
ejpam-3261	127	1	+	+	CCONJ
ejpam-3261	127	2	4σ[cδ	4σ[cδ	NUM
ejpam-3261	127	3	h	h	NOUN
ejpam-3261	127	4	]	]	X
ejpam-3261	127	5	c	c	X
ejpam-3261	127	6	σh	σh	PROPN
ejpam-3261	127	7	.	.	PROPN
ejpam-3261	127	8	and	and	CCONJ
ejpam-3261	127	9	the	the	DET
ejpam-3261	127	10	other	other	ADJ
ejpam-3261	127	11	components	component	NOUN
ejpam-3261	127	12	can	can	AUX
ejpam-3261	127	13	be	be	AUX
ejpam-3261	127	14	found	find	VERB
ejpam-3261	127	15	by	by	ADP
ejpam-3261	127	16	taking	take	VERB
ejpam-3261	127	17	the	the	DET
ejpam-3261	127	18	conjugate	conjugate	ADJ
ejpam-3261	127	19	operator	operator	NOUN
ejpam-3261	127	20	to	to	ADP
ejpam-3261	127	21	the	the	DET
ejpam-3261	127	22	above	above	ADJ
ejpam-3261	127	23	components	component	NOUN
ejpam-3261	127	24	.	.	PUNCT
ejpam-3261	128	1	proof	proof	NOUN
ejpam-3261	128	2	.	.	PUNCT
ejpam-3261	129	1	the	the	DET
ejpam-3261	129	2	above	above	ADJ
ejpam-3261	129	3	components	component	NOUN
ejpam-3261	129	4	can	can	AUX
ejpam-3261	129	5	obtained	obtain	VERB
ejpam-3261	129	6	directly	directly	ADV
ejpam-3261	129	7	from	from	ADP
ejpam-3261	129	8	the	the	DET
ejpam-3261	129	9	definition	definition	NOUN
ejpam-3261	129	10	2.10	2.10	NUM
ejpam-3261	129	11	and	and	CCONJ
ejpam-3261	129	12	lemma	lemma	PROPN
ejpam-3261	129	13	2.5	2.5	NUM
ejpam-3261	129	14	.	.	PUNCT
ejpam-3261	130	1	definition	definition	NOUN
ejpam-3261	130	2	2.10	2.10	NUM
ejpam-3261	130	3	.	.	PUNCT
ejpam-3261	131	1	an	an	DET
ejpam-3261	131	2	lcac∫	lcac∫	NOUN
ejpam-3261	131	3	-manifold	-manifold	NOUN
ejpam-3261	131	4	has	have	VERB
ejpam-3261	131	5	φ	φ	VERB
ejpam-3261	131	6	-	-	PUNCT
ejpam-3261	131	7	invariant	invariant	ADJ
ejpam-3261	131	8	ricci	ricci	PROPN
ejpam-3261	131	9	tensor	tensor	NOUN
ejpam-3261	131	10	,	,	PUNCT
ejpam-3261	131	11	if	if	SCONJ
ejpam-3261	131	12	φ	φ	NUM
ejpam-3261	131	13	◦	◦	NOUN
ejpam-3261	131	14	r	r	NOUN
ejpam-3261	131	15	=	=	SYM
ejpam-3261	131	16	r	r	NOUN
ejpam-3261	131	17	◦	◦	NOUN
ejpam-3261	131	18	φ	φ	NOUN
ejpam-3261	131	19	.	.	PUNCT
ejpam-3261	132	1	h.	h.	PROPN
ejpam-3261	132	2	m.	m.	PROPN
ejpam-3261	132	3	abood	abood	PROPN
ejpam-3261	132	4	,	,	PUNCT
ejpam-3261	132	5	f.	f.	PROPN
ejpam-3261	132	6	h.	h.	PROPN
ejpam-3261	132	7	j.	j.	PROPN
ejpam-3261	132	8	al	al	PROPN
ejpam-3261	132	9	-	-	PUNCT
ejpam-3261	132	10	hussaini	hussaini	PROPN
ejpam-3261	132	11	/	/	SYM
ejpam-3261	132	12	eur	eur	PROPN
ejpam-3261	132	13	.	.	PUNCT
ejpam-3261	133	1	j.	j.	PROPN
ejpam-3261	133	2	pure	pure	PROPN
ejpam-3261	133	3	appl	appl	PROPN
ejpam-3261	133	4	.	.	PROPN
ejpam-3261	133	5	math	math	PROPN
ejpam-3261	133	6	,	,	PUNCT
ejpam-3261	133	7	11	11	NUM
ejpam-3261	133	8	(	(	PUNCT
ejpam-3261	133	9	3	3	NUM
ejpam-3261	133	10	)	)	PUNCT
ejpam-3261	133	11	(	(	PUNCT
ejpam-3261	133	12	2018	2018	NUM
ejpam-3261	133	13	)	)	PUNCT
ejpam-3261	133	14	,	,	PUNCT
ejpam-3261	133	15	671	671	NUM
ejpam-3261	133	16	-	-	SYM
ejpam-3261	133	17	681	681	NUM
ejpam-3261	133	18	676	676	NUM
ejpam-3261	133	19	lemma	lemma	PROPN
ejpam-3261	133	20	2.5	2.5	NUM
ejpam-3261	133	21	.	.	PUNCT
ejpam-3261	134	1	an	an	DET
ejpam-3261	134	2	lcac∫	lcac∫	NOUN
ejpam-3261	134	3	-manifold	-manifold	NOUN
ejpam-3261	134	4	has	have	VERB
ejpam-3261	134	5	φ	φ	VERB
ejpam-3261	134	6	-	-	PUNCT
ejpam-3261	134	7	invariant	invariant	ADJ
ejpam-3261	134	8	ricci	ricci	PROPN
ejpam-3261	134	9	tensor	tensor	NOUN
ejpam-3261	134	10	if	if	SCONJ
ejpam-3261	134	11	and	and	CCONJ
ejpam-3261	134	12	only	only	ADV
ejpam-3261	134	13	if	if	SCONJ
ejpam-3261	134	14	,	,	PUNCT
ejpam-3261	134	15	in	in	ADP
ejpam-3261	134	16	the	the	DET
ejpam-3261	134	17	g	g	NOUN
ejpam-3261	134	18	-	-	PUNCT
ejpam-3261	134	19	adjoined	adjoin	VERB
ejpam-3261	134	20	structure	structure	NOUN
ejpam-3261	134	21	space	space	NOUN
ejpam-3261	134	22	,	,	PUNCT
ejpam-3261	134	23	the	the	DET
ejpam-3261	134	24	following	follow	VERB
ejpam-3261	134	25	condition	condition	NOUN
ejpam-3261	134	26	râb	râb	PROPN
ejpam-3261	134	27	=	=	SYM
ejpam-3261	134	28	rab	rab	PROPN
ejpam-3261	134	29	=	=	SYM
ejpam-3261	134	30	0	0	NUM
ejpam-3261	134	31	holds	hold	NOUN
ejpam-3261	134	32	.	.	PUNCT
ejpam-3261	135	1	we	we	PRON
ejpam-3261	135	2	conclude	conclude	VERB
ejpam-3261	135	3	this	this	DET
ejpam-3261	135	4	section	section	NOUN
ejpam-3261	135	5	by	by	ADP
ejpam-3261	135	6	remembering	remember	VERB
ejpam-3261	135	7	the	the	DET
ejpam-3261	135	8	main	main	ADJ
ejpam-3261	135	9	concept	concept	NOUN
ejpam-3261	135	10	of	of	ADP
ejpam-3261	135	11	our	our	PRON
ejpam-3261	135	12	study	study	NOUN
ejpam-3261	135	13	which	which	PRON
ejpam-3261	135	14	is	be	AUX
ejpam-3261	135	15	a	a	DET
ejpam-3261	135	16	conharmonic	conharmonic	ADJ
ejpam-3261	135	17	curvature	curvature	NOUN
ejpam-3261	135	18	tensor	tensor	NOUN
ejpam-3261	135	19	.	.	PUNCT
ejpam-3261	136	1	definition	definition	NOUN
ejpam-3261	136	2	2.11	2.11	NUM
ejpam-3261	136	3	.	.	PUNCT
ejpam-3261	137	1	[	[	X
ejpam-3261	137	2	5	5	X
ejpam-3261	137	3	]	]	PUNCT
ejpam-3261	137	4	let	let	AUX
ejpam-3261	137	5	m	m	PRON
ejpam-3261	137	6	be	be	AUX
ejpam-3261	137	7	an	an	DET
ejpam-3261	137	8	ac	ac	NOUN
ejpam-3261	137	9	-	-	ADJ
ejpam-3261	137	10	manifold	manifold	NOUN
ejpam-3261	137	11	of	of	ADP
ejpam-3261	137	12	dimension	dimension	NOUN
ejpam-3261	137	13	2n+	2n+	NUM
ejpam-3261	137	14	1	1	NUM
ejpam-3261	137	15	.	.	PUNCT
ejpam-3261	138	1	a	a	DET
ejpam-3261	138	2	tensor	tensor	NOUN
ejpam-3261	138	3	t	t	NOUN
ejpam-3261	138	4	of	of	ADP
ejpam-3261	138	5	type	type	NOUN
ejpam-3261	138	6	(	(	PUNCT
ejpam-3261	138	7	4	4	NUM
ejpam-3261	138	8	,	,	PUNCT
ejpam-3261	138	9	0	0	NUM
ejpam-3261	138	10	)	)	PUNCT
ejpam-3261	138	11	which	which	PRON
ejpam-3261	138	12	is	be	AUX
ejpam-3261	138	13	invariant	invariant	ADJ
ejpam-3261	138	14	under	under	ADP
ejpam-3261	138	15	conharmonic	conharmonic	ADJ
ejpam-3261	138	16	transformation	transformation	NOUN
ejpam-3261	138	17	and	and	CCONJ
ejpam-3261	138	18	defined	define	VERB
ejpam-3261	138	19	by	by	ADP
ejpam-3261	138	20	the	the	DET
ejpam-3261	138	21	form	form	NOUN
ejpam-3261	138	22	:	:	PUNCT
ejpam-3261	138	23	tijkl	tijkl	PROPN
ejpam-3261	138	24	=	=	PUNCT
ejpam-3261	138	25	rijkl	rijkl	NOUN
ejpam-3261	138	26	−	−	NOUN
ejpam-3261	138	27	1	1	NUM
ejpam-3261	139	1	2n−	2n−	NUM
ejpam-3261	139	2	1	1	NUM
ejpam-3261	139	3	(	(	PUNCT
ejpam-3261	139	4	rilgjk	rilgjk	NOUN
ejpam-3261	139	5	−	−	NOUN
ejpam-3261	139	6	rjlgik	rjlgik	NOUN
ejpam-3261	139	7	+	+	NUM
ejpam-3261	139	8	rjkgil	rjkgil	NOUN
ejpam-3261	139	9	−	−	NOUN
ejpam-3261	139	10	rikgjl	rikgjl	NOUN
ejpam-3261	139	11	)	)	PUNCT
ejpam-3261	139	12	is	be	AUX
ejpam-3261	139	13	called	call	VERB
ejpam-3261	139	14	a	a	DET
ejpam-3261	139	15	conharmonic	conharmonic	ADJ
ejpam-3261	139	16	tensor	tensor	NOUN
ejpam-3261	139	17	,	,	PUNCT
ejpam-3261	139	18	where	where	SCONJ
ejpam-3261	139	19	tijkl	tijkl	NOUN
ejpam-3261	139	20	=	=	SYM
ejpam-3261	139	21	−tjikl	−tjikl	PROPN
ejpam-3261	139	22	=	=	PUNCT
ejpam-3261	139	23	−tijlk	−tijlk	PRON
ejpam-3261	140	1	=	=	NOUN
ejpam-3261	140	2	tklij	tklij	NOUN
ejpam-3261	140	3	.	.	PUNCT
ejpam-3261	141	1	theorem	theorem	VERB
ejpam-3261	141	2	2.1	2.1	NUM
ejpam-3261	141	3	.	.	PUNCT
ejpam-3261	142	1	in	in	ADP
ejpam-3261	142	2	the	the	DET
ejpam-3261	142	3	g	g	NOUN
ejpam-3261	142	4	-	-	PUNCT
ejpam-3261	142	5	adjoined	adjoin	VERB
ejpam-3261	142	6	structure	structure	NOUN
ejpam-3261	142	7	space	space	NOUN
ejpam-3261	142	8	,	,	PUNCT
ejpam-3261	142	9	the	the	DET
ejpam-3261	142	10	components	component	NOUN
ejpam-3261	142	11	of	of	ADP
ejpam-3261	142	12	conharmonic	conharmonic	ADJ
ejpam-3261	142	13	curvature	curvature	NOUN
ejpam-3261	142	14	tensor	tensor	NOUN
ejpam-3261	142	15	of	of	ADP
ejpam-3261	142	16	lcac∫	lcac∫	NOUN
ejpam-3261	142	17	-manifold	-manifold	ADJ
ejpam-3261	142	18	are	be	AUX
ejpam-3261	142	19	given	give	VERB
ejpam-3261	142	20	by	by	ADP
ejpam-3261	142	21	the	the	DET
ejpam-3261	142	22	following	follow	VERB
ejpam-3261	142	23	forms	form	NOUN
ejpam-3261	142	24	:	:	PUNCT
ejpam-3261	142	25	(	(	PUNCT
ejpam-3261	142	26	i	i	NOUN
ejpam-3261	142	27	)	)	PUNCT
ejpam-3261	142	28	tabcd	tabcd	NOUN
ejpam-3261	142	29	=	=	SYM
ejpam-3261	142	30	2(2b[c|ab|d	2(2b[c|ab|d	PROPN
ejpam-3261	142	31	]	]	X
ejpam-3261	142	32	−	−	PROPN
ejpam-3261	142	33	2σ[abb]cd	2σ[abb]cd	NUM
ejpam-3261	142	34	+	+	NOUN
ejpam-3261	142	35	ba[cbd]b	ba[cbd]b	NOUN
ejpam-3261	142	36	)	)	PUNCT
ejpam-3261	142	37	;	;	PUNCT
ejpam-3261	142	38	(	(	PUNCT
ejpam-3261	142	39	ii	ii	NOUN
ejpam-3261	142	40	)	)	PUNCT
ejpam-3261	142	41	tâbcd	tâbcd	NUM
ejpam-3261	143	1	=	=	PUNCT
ejpam-3261	144	1	2(aabcd	2(aabcd	NUM
ejpam-3261	145	1	+	+	CCONJ
ejpam-3261	145	2	4σ[aδ	4σ[aδ	NUM
ejpam-3261	145	3	h	h	NOUN
ejpam-3261	145	4	]	]	X
ejpam-3261	146	1	[	[	X
ejpam-3261	146	2	cbd]hb	cbd]hb	NOUN
ejpam-3261	146	3	−	−	PROPN
ejpam-3261	146	4	σ0bb[dδ	σ0bb[dδ	PROPN
ejpam-3261	146	5	a	a	DET
ejpam-3261	146	6	c])−	c])−	NOUN
ejpam-3261	146	7	1	1	NUM
ejpam-3261	146	8	2n−1(rbcδ	2n−1(rbcδ	NUM
ejpam-3261	146	9	a	a	DET
ejpam-3261	146	10	d	d	NOUN
ejpam-3261	146	11	−	−	PROPN
ejpam-3261	146	12	rbdδac	rbdδac	NOUN
ejpam-3261	146	13	)	)	PUNCT
ejpam-3261	146	14	;	;	PUNCT
ejpam-3261	146	15	(	(	PUNCT
ejpam-3261	146	16	iii	iii	NOUN
ejpam-3261	146	17	)	)	PUNCT
ejpam-3261	146	18	tâbcd̂	tâbcd̂	NOUN
ejpam-3261	146	19	=	=	SYM
ejpam-3261	146	20	aadbc	aadbc	PROPN
ejpam-3261	146	21	+	+	CCONJ
ejpam-3261	146	22	4σ[aδ	4σ[aδ	NUM
ejpam-3261	146	23	h	h	NOUN
ejpam-3261	146	24	]	]	X
ejpam-3261	146	25	c	c	PROPN
ejpam-3261	147	1	σ[hδ	σ[hδ	PROPN
ejpam-3261	147	2	d	d	PROPN
ejpam-3261	147	3	b	b	X
ejpam-3261	147	4	]	]	X
ejpam-3261	147	5	−	−	PROPN
ejpam-3261	147	6	4bdahbchb	4bdahbchb	NUM
ejpam-3261	147	7	+	+	NOUN
ejpam-3261	147	8	badbbc	badbbc	NOUN
ejpam-3261	147	9	−	−	PROPN
ejpam-3261	147	10	δac	δac	NOUN
ejpam-3261	147	11	δdbσ2	δdbσ2	NOUN
ejpam-3261	147	12	0	0	PUNCT
ejpam-3261	148	1	−	−	NOUN
ejpam-3261	148	2	1	1	NUM
ejpam-3261	148	3	2n−1(rdb	2n−1(rdb	NUM
ejpam-3261	148	4	δ	δ	PROPN
ejpam-3261	148	5	a	a	PRON
ejpam-3261	148	6	c	c	PROPN
ejpam-3261	148	7	+	+	CCONJ
ejpam-3261	148	8	rac	rac	PROPN
ejpam-3261	148	9	δ	δ	PROPN
ejpam-3261	148	10	d	d	PROPN
ejpam-3261	148	11	b	b	PROPN
ejpam-3261	148	12	)	)	PUNCT
ejpam-3261	148	13	;	;	PUNCT
ejpam-3261	148	14	(	(	PUNCT
ejpam-3261	148	15	iv	iv	X
ejpam-3261	148	16	)	)	PUNCT
ejpam-3261	148	17	tâb̂cd	tâb̂cd	ADV
ejpam-3261	148	18	=	=	PUNCT
ejpam-3261	148	19	2(2δ	2(2δ	NUM
ejpam-3261	148	20	[	[	X
ejpam-3261	148	21	b	b	X
ejpam-3261	148	22	[	[	X
ejpam-3261	148	23	cσ	cσ	INTJ
ejpam-3261	148	24	a	a	X
ejpam-3261	148	25	]	]	X
ejpam-3261	148	26	d	d	X
ejpam-3261	148	27	]	]	X
ejpam-3261	148	28	+	+	NUM
ejpam-3261	148	29	2bhabbhdc	2bhabbhdc	NUM
ejpam-3261	148	30	−	−	NOUN
ejpam-3261	148	31	δa[cδ	δa[cδ	PROPN
ejpam-3261	148	32	b	b	PROPN
ejpam-3261	148	33	d]σ	d]σ	VERB
ejpam-3261	148	34	2	2	NUM
ejpam-3261	148	35	0)−	0)−	SYM
ejpam-3261	148	36	4	4	NUM
ejpam-3261	148	37	2n−1(r	2n−1(r	NOUN
ejpam-3261	149	1	[	[	X
ejpam-3261	149	2	d	d	X
ejpam-3261	149	3	[	[	X
ejpam-3261	149	4	aδ	aδ	PROPN
ejpam-3261	149	5	c	c	X
ejpam-3261	149	6	]	]	X
ejpam-3261	149	7	b	b	X
ejpam-3261	149	8	]	]	X
ejpam-3261	149	9	)	)	PUNCT
ejpam-3261	149	10	;	;	PUNCT
ejpam-3261	149	11	(	(	PUNCT
ejpam-3261	149	12	v	v	NOUN
ejpam-3261	149	13	)	)	PUNCT
ejpam-3261	149	14	tâ0cd	tâ0cd	PROPN
ejpam-3261	149	15	=	=	PUNCT
ejpam-3261	149	16	2(σ0[cδ	2(σ0[cδ	NUM
ejpam-3261	149	17	a	a	DET
ejpam-3261	149	18	d	d	X
ejpam-3261	149	19	]	]	X
ejpam-3261	150	1	+	+	ADJ
ejpam-3261	150	2	babbbcd	babbbcd	NOUN
ejpam-3261	150	3	−	−	PROPN
ejpam-3261	150	4	2σ[aδ	2σ[aδ	NUM
ejpam-3261	150	5	h	h	NOUN
ejpam-3261	150	6	]	]	X
ejpam-3261	150	7	[	[	X
ejpam-3261	150	8	cbd]h	cbd]h	X
ejpam-3261	150	9	)	)	PUNCT
ejpam-3261	150	10	+	+	CCONJ
ejpam-3261	150	11	1	1	NUM
ejpam-3261	150	12	2n−1(r0dδ	2n−1(r0dδ	NUM
ejpam-3261	150	13	a	a	DET
ejpam-3261	150	14	c	c	NOUN
ejpam-3261	150	15	−	−	PROPN
ejpam-3261	150	16	r0cδ	r0cδ	NOUN
ejpam-3261	150	17	a	a	DET
ejpam-3261	150	18	d	d	NOUN
ejpam-3261	150	19	)	)	PUNCT
ejpam-3261	150	20	;	;	PUNCT
ejpam-3261	150	21	(	(	PUNCT
ejpam-3261	150	22	vi	vi	NOUN
ejpam-3261	150	23	)	)	PUNCT
ejpam-3261	150	24	tâbĉ0	tâbĉ0	PROPN
ejpam-3261	150	25	=	=	SYM
ejpam-3261	150	26	aac0b	aac0b	PROPN
ejpam-3261	151	1	+	+	CCONJ
ejpam-3261	151	2	σbb	σbb	ADJ
ejpam-3261	151	3	ac	ac	PROPN
ejpam-3261	151	4	−	−	PROPN
ejpam-3261	151	5	δcbσ0σ	δcbσ0σ	PROPN
ejpam-3261	151	6	a	a	DET
ejpam-3261	151	7	−	−	PROPN
ejpam-3261	151	8	1	1	NUM
ejpam-3261	151	9	2n−1(ra0δ	2n−1(ra0δ	NUM
ejpam-3261	151	10	c	c	PROPN
ejpam-3261	151	11	b	b	NOUN
ejpam-3261	151	12	)	)	PUNCT
ejpam-3261	151	13	;	;	PUNCT
ejpam-3261	151	14	(	(	PUNCT
ejpam-3261	151	15	vii	vii	PROPN
ejpam-3261	151	16	)	)	PUNCT
ejpam-3261	151	17	tabc0	tabc0	PUNCT
ejpam-3261	152	1	=	=	PUNCT
ejpam-3261	153	1	2bcab0	2bcab0	NUM
ejpam-3261	153	2	+	+	SYM
ejpam-3261	153	3	2bcabσ0	2bcabσ0	NUM
ejpam-3261	153	4	;	;	PUNCT
ejpam-3261	153	5	(	(	PUNCT
ejpam-3261	153	6	viii	viii	NOUN
ejpam-3261	153	7	)	)	PUNCT
ejpam-3261	153	8	tâ0b0	tâ0b0	PROPN
ejpam-3261	153	9	=	=	SYM
ejpam-3261	153	10	−δabσ00	−δabσ00	NOUN
ejpam-3261	153	11	−	−	PROPN
ejpam-3261	153	12	δabσ2	δabσ2	NOUN
ejpam-3261	153	13	0	0	PUNCT
ejpam-3261	153	14	−bcbbac	−bcbbac	PROPN
ejpam-3261	153	15	−	−	PROPN
ejpam-3261	153	16	σab	σab	ADJ
ejpam-3261	153	17	−	−	PROPN
ejpam-3261	153	18	σaσb	σaσb	VERB
ejpam-3261	153	19	+	+	CCONJ
ejpam-3261	153	20	2σ[aδ	2σ[aδ	NUM
ejpam-3261	153	21	c	c	X
ejpam-3261	153	22	]	]	X
ejpam-3261	153	23	b	b	X
ejpam-3261	153	24	σc	σc	PROPN
ejpam-3261	153	25	+	+	PROPN
ejpam-3261	153	26	1	1	NUM
ejpam-3261	153	27	2n−1(r00δ	2n−1(r00δ	NUM
ejpam-3261	153	28	a	a	DET
ejpam-3261	153	29	b	b	NOUN
ejpam-3261	153	30	+	+	CCONJ
ejpam-3261	153	31	rab	rab	NOUN
ejpam-3261	153	32	)	)	PUNCT
ejpam-3261	153	33	;	;	PUNCT
ejpam-3261	153	34	(	(	PUNCT
ejpam-3261	153	35	ix	ix	INTJ
ejpam-3261	153	36	)	)	PUNCT
ejpam-3261	153	37	tâ0b̂0	tâ0b̂0	PROPN
ejpam-3261	154	1	=	=	SYM
ejpam-3261	154	2	2σ0b	2σ0b	PROPN
ejpam-3261	154	3	ab	ab	PROPN
ejpam-3261	154	4	−dab0	−dab0	PROPN
ejpam-3261	155	1	−	−	PROPN
ejpam-3261	155	2	σab	σab	ADJ
ejpam-3261	155	3	−	−	PROPN
ejpam-3261	155	4	σaσb	σaσb	VERB
ejpam-3261	155	5	+	+	CCONJ
ejpam-3261	156	1	2bbacσc	2bbacσc	NUM
ejpam-3261	156	2	+	+	SYM
ejpam-3261	156	3	1	1	NUM
ejpam-3261	156	4	2n−1(râb̂	2n−1(râb̂	NUM
ejpam-3261	156	5	)	)	PUNCT
ejpam-3261	156	6	.	.	PUNCT
ejpam-3261	157	1	and	and	CCONJ
ejpam-3261	157	2	the	the	DET
ejpam-3261	157	3	other	other	ADJ
ejpam-3261	157	4	components	component	NOUN
ejpam-3261	157	5	are	be	AUX
ejpam-3261	157	6	conjugate	conjugate	ADJ
ejpam-3261	157	7	to	to	ADP
ejpam-3261	157	8	the	the	DET
ejpam-3261	157	9	above	above	ADJ
ejpam-3261	157	10	or	or	CCONJ
ejpam-3261	157	11	can	can	AUX
ejpam-3261	157	12	be	be	AUX
ejpam-3261	157	13	obtained	obtain	VERB
ejpam-3261	157	14	by	by	ADP
ejpam-3261	157	15	the	the	DET
ejpam-3261	157	16	property	property	NOUN
ejpam-3261	157	17	of	of	ADP
ejpam-3261	157	18	symmetry	symmetry	NOUN
ejpam-3261	157	19	for	for	ADP
ejpam-3261	157	20	t	t	NOUN
ejpam-3261	157	21	or	or	CCONJ
ejpam-3261	157	22	equal	equal	ADJ
ejpam-3261	157	23	to	to	ADP
ejpam-3261	157	24	zero	zero	NUM
ejpam-3261	157	25	.	.	PUNCT
ejpam-3261	158	1	definition	definition	NOUN
ejpam-3261	158	2	2.12	2.12	NUM
ejpam-3261	158	3	.	.	PUNCT
ejpam-3261	159	1	[	[	X
ejpam-3261	159	2	16	16	NUM
ejpam-3261	159	3	]	]	PUNCT
ejpam-3261	159	4	a	a	DET
ejpam-3261	159	5	riemannian	riemannian	ADJ
ejpam-3261	159	6	manifold	manifold	NOUN
ejpam-3261	159	7	is	be	AUX
ejpam-3261	159	8	called	call	VERB
ejpam-3261	159	9	an	an	DET
ejpam-3261	159	10	einstein	einstein	NOUN
ejpam-3261	159	11	manifold	manifold	NOUN
ejpam-3261	159	12	,	,	PUNCT
ejpam-3261	159	13	if	if	SCONJ
ejpam-3261	159	14	the	the	DET
ejpam-3261	159	15	ricci	ricci	PROPN
ejpam-3261	159	16	tensor	tensor	NOUN
ejpam-3261	159	17	satisfies	satisfy	VERB
ejpam-3261	159	18	the	the	DET
ejpam-3261	159	19	equation	equation	NOUN
ejpam-3261	159	20	rij	rij	X
ejpam-3261	159	21	=	=	PUNCT
ejpam-3261	159	22	egij	egij	PROPN
ejpam-3261	159	23	.	.	PUNCT
ejpam-3261	160	1	definition	definition	NOUN
ejpam-3261	160	2	2.13	2.13	NUM
ejpam-3261	160	3	.	.	PUNCT
ejpam-3261	161	1	[	[	X
ejpam-3261	161	2	10	10	NUM
ejpam-3261	161	3	]	]	PUNCT
ejpam-3261	161	4	let	let	AUX
ejpam-3261	161	5	m	m	PRON
ejpam-3261	161	6	be	be	AUX
ejpam-3261	161	7	an	an	DET
ejpam-3261	161	8	ac	ac	ADJ
ejpam-3261	161	9	-	-	ADJ
ejpam-3261	161	10	manifold	manifold	ADJ
ejpam-3261	161	11	,	,	PUNCT
ejpam-3261	161	12	an	an	DET
ejpam-3261	161	13	φ	φ	PROPN
ejpam-3261	161	14	-	-	PUNCT
ejpam-3261	161	15	holomorphic	holomorphic	ADJ
ejpam-3261	161	16	sectional	sectional	ADJ
ejpam-3261	161	17	curvature	curvature	NOUN
ejpam-3261	161	18	(	(	PUNCT
ejpam-3261	161	19	φhs	φhs	NOUN
ejpam-3261	161	20	-	-	PUNCT
ejpam-3261	161	21	curvature	curvature	NOUN
ejpam-3261	161	22	)	)	PUNCT
ejpam-3261	161	23	of	of	ADP
ejpam-3261	161	24	a	a	DET
ejpam-3261	161	25	manifold	manifold	ADJ
ejpam-3261	161	26	m	m	NOUN
ejpam-3261	161	27	in	in	ADP
ejpam-3261	161	28	the	the	DET
ejpam-3261	161	29	direction	direction	NOUN
ejpam-3261	161	30	x	x	SYM
ejpam-3261	161	31	∈	∈	PROPN
ejpam-3261	161	32	x(m	x(m	PROPN
ejpam-3261	161	33	)	)	PUNCT
ejpam-3261	161	34	;	;	PUNCT
ejpam-3261	161	35	x	x	X
ejpam-3261	161	36	6=	6=	ADP
ejpam-3261	161	37	0	0	NUM
ejpam-3261	161	38	is	be	AUX
ejpam-3261	161	39	a	a	DET
ejpam-3261	161	40	function	function	NOUN
ejpam-3261	161	41	h(x	h(x	PROPN
ejpam-3261	161	42	)	)	PUNCT
ejpam-3261	161	43	which	which	PRON
ejpam-3261	161	44	is	be	AUX
ejpam-3261	161	45	defined	define	VERB
ejpam-3261	161	46	as	as	ADP
ejpam-3261	161	47	:	:	PUNCT
ejpam-3261	161	48	h(x	h(x	PROPN
ejpam-3261	161	49	)	)	PUNCT
ejpam-3261	161	50	=	=	PUNCT
ejpam-3261	162	1	〈	〈	PROPN
ejpam-3261	162	2	r(x	r(x	PROPN
ejpam-3261	162	3	,	,	PUNCT
ejpam-3261	162	4	φx	φx	PRON
ejpam-3261	162	5	,	,	PUNCT
ejpam-3261	162	6	x	x	X
ejpam-3261	162	7	,	,	PUNCT
ejpam-3261	162	8	φx	φx	ADJ
ejpam-3261	162	9	,	,	PUNCT
ejpam-3261	162	10	)	)	PUNCT
ejpam-3261	162	11	〉	〉	NOUN
ejpam-3261	162	12	‖x‖−4	‖x‖−4	PROPN
ejpam-3261	162	13	h.	h.	PROPN
ejpam-3261	162	14	m.	m.	PROPN
ejpam-3261	162	15	abood	abood	PROPN
ejpam-3261	162	16	,	,	PUNCT
ejpam-3261	162	17	f.	f.	PROPN
ejpam-3261	162	18	h.	h.	PROPN
ejpam-3261	162	19	j.	j.	PROPN
ejpam-3261	162	20	al	al	PROPN
ejpam-3261	162	21	-	-	PUNCT
ejpam-3261	162	22	hussaini	hussaini	PROPN
ejpam-3261	162	23	/	/	SYM
ejpam-3261	162	24	eur	eur	PROPN
ejpam-3261	162	25	.	.	PUNCT
ejpam-3261	163	1	j.	j.	PROPN
ejpam-3261	163	2	pure	pure	PROPN
ejpam-3261	163	3	appl	appl	PROPN
ejpam-3261	163	4	.	.	PROPN
ejpam-3261	163	5	math	math	PROPN
ejpam-3261	163	6	,	,	PUNCT
ejpam-3261	163	7	11	11	NUM
ejpam-3261	163	8	(	(	PUNCT
ejpam-3261	163	9	3	3	NUM
ejpam-3261	163	10	)	)	PUNCT
ejpam-3261	163	11	(	(	PUNCT
ejpam-3261	163	12	2018	2018	NUM
ejpam-3261	163	13	)	)	PUNCT
ejpam-3261	163	14	,	,	PUNCT
ejpam-3261	163	15	671	671	NUM
ejpam-3261	163	16	-	-	SYM
ejpam-3261	163	17	681	681	NUM
ejpam-3261	163	18	677	677	NUM
ejpam-3261	163	19	definition	definition	NOUN
ejpam-3261	163	20	2.14	2.14	NUM
ejpam-3261	163	21	.	.	PUNCT
ejpam-3261	164	1	[	[	X
ejpam-3261	164	2	10	10	NUM
ejpam-3261	164	3	]	]	X
ejpam-3261	164	4	an	an	DET
ejpam-3261	164	5	ac	ac	PROPN
ejpam-3261	164	6	-	-	ADJ
ejpam-3261	164	7	manifold	manifold	ADJ
ejpam-3261	164	8	is	be	AUX
ejpam-3261	164	9	called	call	VERB
ejpam-3261	164	10	a	a	DET
ejpam-3261	164	11	manifold	manifold	NOUN
ejpam-3261	164	12	of	of	ADP
ejpam-3261	164	13	point	point	NOUN
ejpam-3261	164	14	constant	constant	ADJ
ejpam-3261	164	15	φhs	φhs	NOUN
ejpam-3261	164	16	-	-	PUNCT
ejpam-3261	164	17	curvature	curvature	NOUN
ejpam-3261	164	18	if	if	SCONJ
ejpam-3261	164	19	〈	〈	PROPN
ejpam-3261	164	20	r(x	r(x	PROPN
ejpam-3261	164	21	,	,	PUNCT
ejpam-3261	164	22	φx	φx	PRON
ejpam-3261	164	23	,	,	PUNCT
ejpam-3261	164	24	x	x	X
ejpam-3261	164	25	,	,	PUNCT
ejpam-3261	164	26	φx	φx	ADJ
ejpam-3261	164	27	,	,	PUNCT
ejpam-3261	164	28	)	)	PUNCT
ejpam-3261	164	29	〉	〉	NOUN
ejpam-3261	164	30	=	=	PUNCT
ejpam-3261	164	31	c‖x‖4	c‖x‖4	PROPN
ejpam-3261	164	32	where	where	SCONJ
ejpam-3261	164	33	c	c	NOUN
ejpam-3261	164	34	∈	∈	PROPN
ejpam-3261	164	35	c∞(m	c∞(m	NOUN
ejpam-3261	164	36	)	)	PUNCT
ejpam-3261	164	37	;	;	PUNCT
ejpam-3261	164	38	for	for	ADP
ejpam-3261	164	39	all	all	DET
ejpam-3261	164	40	x	x	SYM
ejpam-3261	164	41	∈	∈	PROPN
ejpam-3261	164	42	x(m	x(m	PROPN
ejpam-3261	164	43	)	)	PUNCT
ejpam-3261	164	44	lemma	lemma	PROPN
ejpam-3261	164	45	2.6	2.6	NUM
ejpam-3261	164	46	.	.	PUNCT
ejpam-3261	165	1	[	[	X
ejpam-3261	165	2	10	10	NUM
ejpam-3261	165	3	]	]	X
ejpam-3261	165	4	an	an	DET
ejpam-3261	165	5	ac	ac	PROPN
ejpam-3261	165	6	-	-	ADJ
ejpam-3261	165	7	manifold	manifold	ADJ
ejpam-3261	165	8	is	be	AUX
ejpam-3261	165	9	a	a	DET
ejpam-3261	165	10	manifold	manifold	NOUN
ejpam-3261	165	11	of	of	ADP
ejpam-3261	165	12	point	point	NOUN
ejpam-3261	165	13	constant	constant	ADJ
ejpam-3261	165	14	φhs	φhs	NOUN
ejpam-3261	165	15	-	-	PUNCT
ejpam-3261	165	16	curvature	curvature	NOUN
ejpam-3261	165	17	c	c	NOUN
ejpam-3261	165	18	if	if	SCONJ
ejpam-3261	165	19	and	and	CCONJ
ejpam-3261	165	20	only	only	ADV
ejpam-3261	165	21	if	if	SCONJ
ejpam-3261	165	22	,	,	PUNCT
ejpam-3261	165	23	on	on	ADP
ejpam-3261	165	24	the	the	DET
ejpam-3261	165	25	g	g	NOUN
ejpam-3261	165	26	-	-	PUNCT
ejpam-3261	165	27	adjoined	adjoin	VERB
ejpam-3261	165	28	structure	structure	NOUN
ejpam-3261	165	29	,	,	PUNCT
ejpam-3261	165	30	r	r	NOUN
ejpam-3261	165	31	(	(	PUNCT
ejpam-3261	165	32	a	a	DET
ejpam-3261	165	33	d	d	NOUN
ejpam-3261	165	34	)	)	PUNCT
ejpam-3261	165	35	(	(	PUNCT
ejpam-3261	165	36	bc	bc	PROPN
ejpam-3261	165	37	)	)	PUNCT
ejpam-3261	165	38	=	=	SYM
ejpam-3261	166	1	c	c	SYM
ejpam-3261	166	2	2	2	NUM
ejpam-3261	166	3	δãdbc	δãdbc	NUM
ejpam-3261	166	4	where	where	SCONJ
ejpam-3261	166	5	δãdbc	δãdbc	NOUN
ejpam-3261	166	6	=	=	SYM
ejpam-3261	166	7	δab	δab	PROPN
ejpam-3261	166	8	δ	δ	PROPN
ejpam-3261	166	9	d	d	X
ejpam-3261	166	10	c	c	PROPN
ejpam-3261	166	11	+	+	CCONJ
ejpam-3261	166	12	δac	δac	PROPN
ejpam-3261	166	13	δ	δ	PROPN
ejpam-3261	166	14	d	d	PROPN
ejpam-3261	166	15	b	b	PROPN
ejpam-3261	166	16	is	be	AUX
ejpam-3261	166	17	the	the	DET
ejpam-3261	166	18	symmetric	symmetric	ADJ
ejpam-3261	166	19	second	second	ADJ
ejpam-3261	166	20	-	-	PUNCT
ejpam-3261	166	21	order	order	NOUN
ejpam-3261	166	22	kronecker	kronecker	NOUN
ejpam-3261	166	23	delta	delta	NOUN
ejpam-3261	166	24	.	.	PUNCT
ejpam-3261	167	1	definition	definition	NOUN
ejpam-3261	167	2	2.15	2.15	NUM
ejpam-3261	167	3	.	.	PUNCT
ejpam-3261	168	1	let	let	VERB
ejpam-3261	168	2	m	m	PRON
ejpam-3261	168	3	be	be	AUX
ejpam-3261	168	4	an	an	DET
ejpam-3261	168	5	ac	ac	ADJ
ejpam-3261	168	6	-	-	ADJ
ejpam-3261	168	7	manifold	manifold	ADJ
ejpam-3261	168	8	,	,	PUNCT
ejpam-3261	168	9	an	an	DET
ejpam-3261	168	10	φ	φ	PROPN
ejpam-3261	168	11	-	-	PUNCT
ejpam-3261	168	12	holomorphic	holomorphic	ADJ
ejpam-3261	168	13	sectional	sectional	ADJ
ejpam-3261	168	14	conharmonic	conharmonic	ADJ
ejpam-3261	168	15	curvature	curvature	NOUN
ejpam-3261	168	16	(	(	PUNCT
ejpam-3261	168	17	φhts	φhts	NOUN
ejpam-3261	168	18	-	-	PUNCT
ejpam-3261	168	19	curvature	curvature	NOUN
ejpam-3261	168	20	)	)	PUNCT
ejpam-3261	168	21	of	of	ADP
ejpam-3261	168	22	a	a	DET
ejpam-3261	168	23	manifold	manifold	ADJ
ejpam-3261	168	24	m	m	NOUN
ejpam-3261	168	25	in	in	ADP
ejpam-3261	168	26	the	the	DET
ejpam-3261	168	27	direction	direction	NOUN
ejpam-3261	168	28	x	x	SYM
ejpam-3261	168	29	∈	∈	PROPN
ejpam-3261	168	30	x(m	x(m	PROPN
ejpam-3261	168	31	)	)	PUNCT
ejpam-3261	168	32	;	;	PUNCT
ejpam-3261	168	33	x	x	X
ejpam-3261	168	34	6=	6=	ADP
ejpam-3261	168	35	0	0	NUM
ejpam-3261	168	36	is	be	AUX
ejpam-3261	168	37	a	a	DET
ejpam-3261	168	38	function	function	NOUN
ejpam-3261	168	39	h(x	h(x	PROPN
ejpam-3261	168	40	)	)	PUNCT
ejpam-3261	168	41	which	which	PRON
ejpam-3261	168	42	is	be	AUX
ejpam-3261	168	43	defined	define	VERB
ejpam-3261	168	44	as	as	ADP
ejpam-3261	168	45	h(x	h(x	PROPN
ejpam-3261	168	46	)	)	PUNCT
ejpam-3261	169	1	=	=	PUNCT
ejpam-3261	170	1	〈	〈	PROPN
ejpam-3261	170	2	t	t	PROPN
ejpam-3261	170	3	(	(	PUNCT
ejpam-3261	170	4	x	x	X
ejpam-3261	170	5	,	,	PUNCT
ejpam-3261	170	6	φx	φx	PRON
ejpam-3261	170	7	,	,	PUNCT
ejpam-3261	170	8	x	x	X
ejpam-3261	170	9	,	,	PUNCT
ejpam-3261	170	10	φx	φx	ADJ
ejpam-3261	170	11	,	,	PUNCT
ejpam-3261	170	12	)	)	PUNCT
ejpam-3261	170	13	〉	〉	NOUN
ejpam-3261	170	14	‖x‖−4	‖x‖−4	NUM
ejpam-3261	170	15	definition	definition	NOUN
ejpam-3261	170	16	2.16	2.16	NUM
ejpam-3261	170	17	.	.	PUNCT
ejpam-3261	171	1	an	an	DET
ejpam-3261	171	2	ac	ac	PROPN
ejpam-3261	171	3	-	-	ADJ
ejpam-3261	171	4	manifold	manifold	ADJ
ejpam-3261	171	5	is	be	AUX
ejpam-3261	171	6	called	call	VERB
ejpam-3261	171	7	a	a	DET
ejpam-3261	171	8	manifold	manifold	NOUN
ejpam-3261	171	9	of	of	ADP
ejpam-3261	171	10	point	point	NOUN
ejpam-3261	171	11	constant	constant	ADJ
ejpam-3261	171	12	φhst	φhst	ADJ
ejpam-3261	171	13	-	-	PUNCT
ejpam-3261	171	14	curvature	curvature	NOUN
ejpam-3261	171	15	if	if	SCONJ
ejpam-3261	171	16	〈	〈	PROPN
ejpam-3261	171	17	t	t	PROPN
ejpam-3261	171	18	(	(	PUNCT
ejpam-3261	171	19	x	x	X
ejpam-3261	171	20	,	,	PUNCT
ejpam-3261	171	21	φx	φx	PRON
ejpam-3261	171	22	,	,	PUNCT
ejpam-3261	171	23	x	x	X
ejpam-3261	171	24	,	,	PUNCT
ejpam-3261	171	25	φx	φx	ADJ
ejpam-3261	171	26	,	,	PUNCT
ejpam-3261	171	27	)	)	PUNCT
ejpam-3261	171	28	〉	〉	NOUN
ejpam-3261	171	29	=	=	PUNCT
ejpam-3261	171	30	c‖x‖4	c‖x‖4	PROPN
ejpam-3261	171	31	where	where	SCONJ
ejpam-3261	171	32	c	c	NOUN
ejpam-3261	171	33	∈	∈	PROPN
ejpam-3261	171	34	c∞(m	c∞(m	NOUN
ejpam-3261	171	35	)	)	PUNCT
ejpam-3261	171	36	;	;	PUNCT
ejpam-3261	171	37	for	for	ADP
ejpam-3261	171	38	all	all	DET
ejpam-3261	171	39	x	x	SYM
ejpam-3261	171	40	∈	∈	PROPN
ejpam-3261	171	41	x(m	x(m	PROPN
ejpam-3261	171	42	)	)	PUNCT
ejpam-3261	171	43	.	.	PUNCT
ejpam-3261	172	1	3	3	X
ejpam-3261	172	2	.	.	X
ejpam-3261	172	3	the	the	DET
ejpam-3261	172	4	main	main	ADJ
ejpam-3261	172	5	results	result	NOUN
ejpam-3261	172	6	this	this	DET
ejpam-3261	172	7	section	section	NOUN
ejpam-3261	172	8	is	be	AUX
ejpam-3261	172	9	devoted	devote	VERB
ejpam-3261	172	10	to	to	PART
ejpam-3261	172	11	study	study	VERB
ejpam-3261	172	12	the	the	DET
ejpam-3261	172	13	theoretical	theoretical	ADJ
ejpam-3261	172	14	application	application	NOUN
ejpam-3261	172	15	of	of	ADP
ejpam-3261	172	16	lcac∫	lcac∫	NOUN
ejpam-3261	172	17	-manifold	-manifold	VERB
ejpam-3261	172	18	of	of	ADP
ejpam-3261	172	19	point	point	NOUN
ejpam-3261	172	20	constant	constant	ADJ
ejpam-3261	172	21	φ	φ	ADJ
ejpam-3261	172	22	-	-	PUNCT
ejpam-3261	172	23	holomorphic	holomorphic	ADJ
ejpam-3261	172	24	sectional	sectional	ADJ
ejpam-3261	172	25	conharmonic	conharmonic	NOUN
ejpam-3261	172	26	curvature	curvature	NOUN
ejpam-3261	172	27	.	.	PUNCT
ejpam-3261	173	1	in	in	ADP
ejpam-3261	173	2	particular	particular	ADJ
ejpam-3261	173	3	,	,	PUNCT
ejpam-3261	173	4	we	we	PRON
ejpam-3261	173	5	found	find	VERB
ejpam-3261	173	6	the	the	DET
ejpam-3261	173	7	necessary	necessary	ADJ
ejpam-3261	173	8	and	and	CCONJ
ejpam-3261	173	9	sufficient	sufficient	ADJ
ejpam-3261	173	10	conditions	condition	NOUN
ejpam-3261	173	11	in	in	ADP
ejpam-3261	173	12	which	which	PRON
ejpam-3261	173	13	the	the	DET
ejpam-3261	173	14	lcac∫	lcac∫	NOUN
ejpam-3261	173	15	-manifold	-manifold	VERB
ejpam-3261	173	16	of	of	ADP
ejpam-3261	173	17	point	point	NOUN
ejpam-3261	173	18	constant	constant	ADJ
ejpam-3261	173	19	φ	φ	ADJ
ejpam-3261	173	20	-	-	PUNCT
ejpam-3261	173	21	holomorphic	holomorphic	ADJ
ejpam-3261	173	22	sectional	sectional	ADJ
ejpam-3261	173	23	conharmonic	conharmonic	NOUN
ejpam-3261	173	24	curvature	curvature	NOUN
ejpam-3261	173	25	is	be	AUX
ejpam-3261	173	26	an	an	DET
ejpam-3261	173	27	eistein	eistein	ADJ
ejpam-3261	173	28	manifold	manifold	NOUN
ejpam-3261	173	29	.	.	PUNCT
ejpam-3261	174	1	the	the	DET
ejpam-3261	174	2	following	follow	VERB
ejpam-3261	174	3	theorems	theorem	NOUN
ejpam-3261	174	4	gives	give	VERB
ejpam-3261	174	5	the	the	DET
ejpam-3261	174	6	necessary	necessary	ADJ
ejpam-3261	174	7	and	and	CCONJ
ejpam-3261	174	8	sufficient	sufficient	ADJ
ejpam-3261	174	9	condition	condition	NOUN
ejpam-3261	174	10	in	in	ADP
ejpam-3261	174	11	which	which	PRON
ejpam-3261	174	12	an	an	DET
ejpam-3261	174	13	lcac∫	lcac∫	NOUN
ejpam-3261	174	14	manifold	manifold	ADJ
ejpam-3261	174	15	is	be	AUX
ejpam-3261	174	16	a	a	DET
ejpam-3261	174	17	manifold	manifold	NOUN
ejpam-3261	174	18	of	of	ADP
ejpam-3261	174	19	point	point	NOUN
ejpam-3261	174	20	constant	constant	ADJ
ejpam-3261	174	21	φhs	φhs	NOUN
ejpam-3261	174	22	-	-	PUNCT
ejpam-3261	174	23	curvature	curvature	NOUN
ejpam-3261	174	24	.	.	PUNCT
ejpam-3261	175	1	theorem	theorem	VERB
ejpam-3261	175	2	3.1	3.1	NUM
ejpam-3261	175	3	.	.	PUNCT
ejpam-3261	176	1	an	an	DET
ejpam-3261	176	2	lcac∫	lcac∫	NOUN
ejpam-3261	176	3	-manifold	-manifold	ADJ
ejpam-3261	176	4	is	be	AUX
ejpam-3261	176	5	a	a	DET
ejpam-3261	176	6	manifold	manifold	NOUN
ejpam-3261	176	7	of	of	ADP
ejpam-3261	176	8	point	point	NOUN
ejpam-3261	176	9	constant	constant	ADJ
ejpam-3261	176	10	φhs	φhs	NOUN
ejpam-3261	176	11	-	-	PUNCT
ejpam-3261	176	12	curvature	curvature	NOUN
ejpam-3261	176	13	c	c	NOUN
ejpam-3261	176	14	if	if	SCONJ
ejpam-3261	177	1	and	and	CCONJ
ejpam-3261	177	2	only	only	ADV
ejpam-3261	177	3	if	if	SCONJ
ejpam-3261	177	4	,	,	PUNCT
ejpam-3261	177	5	the	the	DET
ejpam-3261	177	6	relation	relation	NOUN
ejpam-3261	177	7	a	a	DET
ejpam-3261	177	8	(	(	PUNCT
ejpam-3261	177	9	ad	ad	NOUN
ejpam-3261	177	10	)	)	PUNCT
ejpam-3261	177	11	(	(	PUNCT
ejpam-3261	177	12	bc	bc	PROPN
ejpam-3261	177	13	)	)	PUNCT
ejpam-3261	177	14	=	=	SYM
ejpam-3261	177	15	1	1	NUM
ejpam-3261	177	16	2	2	NUM
ejpam-3261	177	17	δãdbc	δãdbc	PROPN
ejpam-3261	177	18	(	(	PUNCT
ejpam-3261	177	19	σ2	σ2	NOUN
ejpam-3261	177	20	0	0	NUM
ejpam-3261	177	21	+	+	CCONJ
ejpam-3261	177	22	c)−	c)−	PROPN
ejpam-3261	177	23	4σ[aδ	4σ[aδ	PROPN
ejpam-3261	177	24	h	h	X
ejpam-3261	177	25	]	]	X
ejpam-3261	177	26	c	c	PROPN
ejpam-3261	178	1	σ[hδ	σ[hδ	PROPN
ejpam-3261	178	2	d	d	PROPN
ejpam-3261	178	3	b	b	AUX
ejpam-3261	178	4	]	]	X
ejpam-3261	178	5	+	+	CCONJ
ejpam-3261	178	6	4b(da)hbchb−badbbc	4b(da)hbchb−badbbc	NUM
ejpam-3261	178	7	holds	hold	NOUN
ejpam-3261	178	8	on	on	ADP
ejpam-3261	178	9	the	the	DET
ejpam-3261	178	10	g	g	NOUN
ejpam-3261	178	11	-	-	PUNCT
ejpam-3261	178	12	adjoined	adjoin	VERB
ejpam-3261	178	13	structure	structure	NOUN
ejpam-3261	178	14	space	space	NOUN
ejpam-3261	178	15	.	.	PUNCT
ejpam-3261	179	1	proof	proof	NOUN
ejpam-3261	179	2	.	.	PUNCT
ejpam-3261	180	1	according	accord	VERB
ejpam-3261	180	2	to	to	ADP
ejpam-3261	180	3	the	the	DET
ejpam-3261	180	4	components	component	NOUN
ejpam-3261	180	5	of	of	ADP
ejpam-3261	180	6	the	the	DET
ejpam-3261	180	7	riemannian	riemannian	ADJ
ejpam-3261	180	8	curvature	curvature	NOUN
ejpam-3261	180	9	tensor	tensor	NOUN
ejpam-3261	180	10	of	of	ADP
ejpam-3261	180	11	lcac∫	lcac∫	NOUN
ejpam-3261	180	12	manifold	manifold	ADJ
ejpam-3261	180	13	,	,	PUNCT
ejpam-3261	180	14	it	it	PRON
ejpam-3261	180	15	follows	follow	VERB
ejpam-3261	180	16	that	that	SCONJ
ejpam-3261	180	17	ra	ra	PROPN
ejpam-3261	180	18	d	d	NOUN
ejpam-3261	180	19	bc	bc	PROPN
ejpam-3261	180	20	=	=	SYM
ejpam-3261	180	21	aadbc	aadbc	PROPN
ejpam-3261	180	22	+	+	CCONJ
ejpam-3261	180	23	4σ[aδh	4σ[aδh	NOUN
ejpam-3261	180	24	]	]	PUNCT
ejpam-3261	180	25	c	c	PROPN
ejpam-3261	180	26	σ[hδ	σ[hδ	PROPN
ejpam-3261	180	27	d	d	PROPN
ejpam-3261	180	28	b	b	X
ejpam-3261	180	29	]	]	X
ejpam-3261	180	30	−	−	PROPN
ejpam-3261	180	31	4bdahbchb	4bdahbchb	NUM
ejpam-3261	180	32	+	+	NOUN
ejpam-3261	180	33	badbbc	badbbc	NOUN
ejpam-3261	180	34	−	−	PROPN
ejpam-3261	180	35	δac	δac	NOUN
ejpam-3261	180	36	δdbσ2	δdbσ2	NOUN
ejpam-3261	180	37	0	0	PUNCT
ejpam-3261	181	1	symmetrizing	symmetrize	VERB
ejpam-3261	181	2	with	with	ADP
ejpam-3261	181	3	respect	respect	NOUN
ejpam-3261	181	4	to	to	ADP
ejpam-3261	181	5	the	the	DET
ejpam-3261	181	6	pair	pair	NOUN
ejpam-3261	181	7	of	of	ADP
ejpam-3261	181	8	upper	upper	ADJ
ejpam-3261	181	9	and	and	CCONJ
ejpam-3261	181	10	lower	low	ADJ
ejpam-3261	181	11	indices	index	NOUN
ejpam-3261	181	12	of	of	ADP
ejpam-3261	181	13	the	the	DET
ejpam-3261	181	14	tensor	tensor	NOUN
ejpam-3261	181	15	ra	ra	PROPN
ejpam-3261	181	16	d	d	PROPN
ejpam-3261	181	17	bc	bc	PROPN
ejpam-3261	181	18	,	,	PUNCT
ejpam-3261	181	19	we	we	PRON
ejpam-3261	181	20	get	get	VERB
ejpam-3261	181	21	r	r	NOUN
ejpam-3261	181	22	(	(	PUNCT
ejpam-3261	181	23	a	a	DET
ejpam-3261	181	24	d	d	NOUN
ejpam-3261	181	25	)	)	PUNCT
ejpam-3261	181	26	(	(	PUNCT
ejpam-3261	181	27	bc	bc	PROPN
ejpam-3261	181	28	)	)	PUNCT
ejpam-3261	181	29	=	=	SYM
ejpam-3261	181	30	a	a	DET
ejpam-3261	181	31	(	(	PUNCT
ejpam-3261	181	32	ad	ad	NOUN
ejpam-3261	181	33	)	)	PUNCT
ejpam-3261	181	34	(	(	PUNCT
ejpam-3261	181	35	bc	bc	PROPN
ejpam-3261	181	36	)	)	PUNCT
ejpam-3261	181	37	+	+	NUM
ejpam-3261	181	38	4σ[aδh	4σ[aδh	NUM
ejpam-3261	181	39	]	]	PUNCT
ejpam-3261	181	40	c	c	PROPN
ejpam-3261	182	1	σ[hδ	σ[hδ	PROPN
ejpam-3261	182	2	d	d	PROPN
ejpam-3261	182	3	b	b	X
ejpam-3261	182	4	]	]	X
ejpam-3261	182	5	−	−	PROPN
ejpam-3261	183	1	4b(da)hbchb	4b(da)hbchb	NUM
ejpam-3261	183	2	+	+	NOUN
ejpam-3261	183	3	badbbc	badbbc	NOUN
ejpam-3261	183	4	−	−	PROPN
ejpam-3261	183	5	1	1	NUM
ejpam-3261	183	6	2	2	NUM
ejpam-3261	183	7	δãdbc	δãdbc	PROPN
ejpam-3261	183	8	σ	σ	PROPN
ejpam-3261	183	9	2	2	PROPN
ejpam-3261	183	10	0	0	NUM
ejpam-3261	183	11	h.	h.	PROPN
ejpam-3261	183	12	m.	m.	PROPN
ejpam-3261	183	13	abood	abood	PROPN
ejpam-3261	183	14	,	,	PUNCT
ejpam-3261	183	15	f.	f.	PROPN
ejpam-3261	183	16	h.	h.	PROPN
ejpam-3261	183	17	j.	j.	PROPN
ejpam-3261	183	18	al	al	PROPN
ejpam-3261	183	19	-	-	PUNCT
ejpam-3261	183	20	hussaini	hussaini	PROPN
ejpam-3261	183	21	/	/	SYM
ejpam-3261	183	22	eur	eur	PROPN
ejpam-3261	183	23	.	.	PUNCT
ejpam-3261	184	1	j.	j.	PROPN
ejpam-3261	184	2	pure	pure	PROPN
ejpam-3261	184	3	appl	appl	PROPN
ejpam-3261	184	4	.	.	PROPN
ejpam-3261	184	5	math	math	PROPN
ejpam-3261	184	6	,	,	PUNCT
ejpam-3261	184	7	11	11	NUM
ejpam-3261	184	8	(	(	PUNCT
ejpam-3261	184	9	3	3	NUM
ejpam-3261	184	10	)	)	PUNCT
ejpam-3261	184	11	(	(	PUNCT
ejpam-3261	184	12	2018	2018	NUM
ejpam-3261	184	13	)	)	PUNCT
ejpam-3261	184	14	,	,	PUNCT
ejpam-3261	184	15	671	671	NUM
ejpam-3261	184	16	-	-	SYM
ejpam-3261	184	17	681	681	NUM
ejpam-3261	184	18	678	678	NUM
ejpam-3261	184	19	by	by	ADP
ejpam-3261	184	20	lemma	lemma	PROPN
ejpam-3261	184	21	2.6	2.6	NUM
ejpam-3261	184	22	,	,	PUNCT
ejpam-3261	184	23	the	the	DET
ejpam-3261	184	24	constancy	constancy	NOUN
ejpam-3261	184	25	condition	condition	NOUN
ejpam-3261	184	26	on	on	ADP
ejpam-3261	184	27	the	the	DET
ejpam-3261	184	28	φhs	φhs	NOUN
ejpam-3261	184	29	-	-	PUNCT
ejpam-3261	184	30	curvature	curvature	NOUN
ejpam-3261	184	31	c	c	NOUN
ejpam-3261	184	32	for	for	ADP
ejpam-3261	184	33	a	a	DET
ejpam-3261	184	34	lcac∫	lcac∫	NOUN
ejpam-3261	184	35	-manifold	-manifold	VERB
ejpam-3261	184	36	,	,	PUNCT
ejpam-3261	184	37	yields	yield	VERB
ejpam-3261	184	38	a	a	DET
ejpam-3261	184	39	(	(	PUNCT
ejpam-3261	184	40	ad	ad	NOUN
ejpam-3261	184	41	)	)	PUNCT
ejpam-3261	184	42	(	(	PUNCT
ejpam-3261	184	43	bc	bc	PROPN
ejpam-3261	184	44	)	)	PUNCT
ejpam-3261	184	45	=	=	SYM
ejpam-3261	184	46	1	1	NUM
ejpam-3261	184	47	2	2	NUM
ejpam-3261	184	48	δãdbc	δãdbc	PROPN
ejpam-3261	184	49	(	(	PUNCT
ejpam-3261	184	50	σ2	σ2	NOUN
ejpam-3261	184	51	0	0	NUM
ejpam-3261	184	52	+	+	CCONJ
ejpam-3261	184	53	c)−	c)−	PROPN
ejpam-3261	184	54	4σ[aδh	4σ[aδh	NOUN
ejpam-3261	184	55	]	]	PUNCT
ejpam-3261	184	56	c	c	PROPN
ejpam-3261	185	1	σ[hδ	σ[hδ	PROPN
ejpam-3261	185	2	d	d	PROPN
ejpam-3261	185	3	b	b	AUX
ejpam-3261	185	4	]	]	X
ejpam-3261	185	5	+	+	CCONJ
ejpam-3261	185	6	4b(da)hbchb	4b(da)hbchb	NUM
ejpam-3261	185	7	−badbbc	−badbbc	NOUN
ejpam-3261	185	8	theorem	theorem	VERB
ejpam-3261	185	9	3.2	3.2	NUM
ejpam-3261	185	10	.	.	PUNCT
ejpam-3261	186	1	suppose	suppose	VERB
ejpam-3261	186	2	that	that	SCONJ
ejpam-3261	186	3	m	m	PROPN
ejpam-3261	186	4	is	be	AUX
ejpam-3261	186	5	lcac∫	lcac∫	NOUN
ejpam-3261	186	6	-manifold	-manifold	ADJ
ejpam-3261	186	7	.	.	PUNCT
ejpam-3261	187	1	then	then	ADV
ejpam-3261	187	2	the	the	DET
ejpam-3261	187	3	necessary	necessary	ADJ
ejpam-3261	187	4	and	and	CCONJ
ejpam-3261	187	5	suffcient	suffcient	ADJ
ejpam-3261	187	6	condition	condition	NOUN
ejpam-3261	187	7	in	in	ADP
ejpam-3261	187	8	which	which	PRON
ejpam-3261	187	9	m	m	VERB
ejpam-3261	187	10	is	be	AUX
ejpam-3261	187	11	a	a	DET
ejpam-3261	187	12	manifold	manifold	NOUN
ejpam-3261	187	13	of	of	ADP
ejpam-3261	187	14	point	point	NOUN
ejpam-3261	187	15	constant	constant	ADJ
ejpam-3261	187	16	φhst	φhst	ADJ
ejpam-3261	187	17	-	-	PUNCT
ejpam-3261	187	18	curvature	curvature	NOUN
ejpam-3261	187	19	c0	c0	NOUN
ejpam-3261	187	20	is	be	AUX
ejpam-3261	187	21	aadbc	aadbc	NOUN
ejpam-3261	187	22	=	=	PUNCT
ejpam-3261	188	1	4bdahbchb	4bdahbchb	NUM
ejpam-3261	188	2	+	+	NOUN
ejpam-3261	188	3	badbbc	badbbc	NOUN
ejpam-3261	188	4	−	−	NOUN
ejpam-3261	188	5	4σ[aδh	4σ[aδh	NOUN
ejpam-3261	188	6	]	]	PUNCT
ejpam-3261	189	1	c	c	PROPN
ejpam-3261	190	1	σ[hδ	σ[hδ	PROPN
ejpam-3261	190	2	d	d	PROPN
ejpam-3261	190	3	b	b	AUX
ejpam-3261	190	4	]	]	X
ejpam-3261	190	5	+	+	CCONJ
ejpam-3261	190	6	δac	δac	NOUN
ejpam-3261	190	7	δ	δ	PROPN
ejpam-3261	190	8	d	d	PROPN
ejpam-3261	190	9	bσ	bσ	PROPN
ejpam-3261	190	10	2	2	NUM
ejpam-3261	190	11	0	0	NUM
ejpam-3261	190	12	−	−	NOUN
ejpam-3261	190	13	c0δ	c0δ	X
ejpam-3261	190	14	a	a	DET
ejpam-3261	190	15	b	b	NOUN
ejpam-3261	190	16	δ	δ	PROPN
ejpam-3261	190	17	d	d	PROPN
ejpam-3261	190	18	c	c	NOUN
ejpam-3261	190	19	−	−	PROPN
ejpam-3261	190	20	1	1	NUM
ejpam-3261	190	21	2n−	2n−	NUM
ejpam-3261	190	22	1	1	NUM
ejpam-3261	190	23	(	(	PUNCT
ejpam-3261	190	24	rdb	rdb	VERB
ejpam-3261	190	25	δ	δ	PROPN
ejpam-3261	190	26	a	a	DET
ejpam-3261	190	27	c	c	PROPN
ejpam-3261	190	28	+	+	CCONJ
ejpam-3261	190	29	rac	rac	PROPN
ejpam-3261	190	30	δ	δ	PROPN
ejpam-3261	190	31	d	d	PROPN
ejpam-3261	190	32	b	b	PROPN
ejpam-3261	190	33	)	)	PUNCT
ejpam-3261	190	34	proof	proof	NOUN
ejpam-3261	190	35	.	.	PUNCT
ejpam-3261	190	36	suppose	suppose	VERB
ejpam-3261	190	37	that	that	SCONJ
ejpam-3261	190	38	m	m	PROPN
ejpam-3261	190	39	is	be	AUX
ejpam-3261	190	40	lcac∫	lcac∫	NOUN
ejpam-3261	190	41	-manifold	-manifold	VERB
ejpam-3261	190	42	of	of	ADP
ejpam-3261	190	43	the	the	DET
ejpam-3261	190	44	point	point	NOUN
ejpam-3261	190	45	constant	constant	ADJ
ejpam-3261	190	46	φhts	φht	NOUN
ejpam-3261	190	47	-	-	PUNCT
ejpam-3261	190	48	curvature	curvature	NOUN
ejpam-3261	190	49	tensor	tensor	NOUN
ejpam-3261	190	50	.	.	PUNCT
ejpam-3261	191	1	according	accord	VERB
ejpam-3261	191	2	to	to	ADP
ejpam-3261	191	3	the	the	DET
ejpam-3261	191	4	definition	definition	NOUN
ejpam-3261	191	5	2.16	2.16	NUM
ejpam-3261	191	6	,	,	PUNCT
ejpam-3261	191	7	we	we	PRON
ejpam-3261	191	8	get	get	VERB
ejpam-3261	191	9	〈	〈	PROPN
ejpam-3261	191	10	t	t	PROPN
ejpam-3261	191	11	(	(	PUNCT
ejpam-3261	191	12	x	x	X
ejpam-3261	191	13	,	,	PUNCT
ejpam-3261	191	14	φx	φx	PRON
ejpam-3261	191	15	,	,	PUNCT
ejpam-3261	191	16	x	x	X
ejpam-3261	191	17	,	,	PUNCT
ejpam-3261	191	18	φx	φx	ADJ
ejpam-3261	191	19	,	,	PUNCT
ejpam-3261	191	20	)	)	PUNCT
ejpam-3261	191	21	〉	〉	NOUN
ejpam-3261	191	22	=	=	NOUN
ejpam-3261	191	23	c0‖x‖4	c0‖x‖4	NOUN
ejpam-3261	191	24	in	in	ADP
ejpam-3261	191	25	the	the	DET
ejpam-3261	191	26	g	g	NOUN
ejpam-3261	191	27	-	-	PUNCT
ejpam-3261	191	28	adjoined	adjoin	VERB
ejpam-3261	191	29	structure	structure	NOUN
ejpam-3261	191	30	space	space	NOUN
ejpam-3261	191	31	,	,	PUNCT
ejpam-3261	191	32	we	we	PRON
ejpam-3261	191	33	have	have	VERB
ejpam-3261	191	34	tijklx	tijklx	NOUN
ejpam-3261	191	35	i(φx)jxk(φx)l	i(φx)jxk(φx)l	NOUN
ejpam-3261	192	1	=	=	SYM
ejpam-3261	192	2	c0gijgklx	c0gijgklx	PROPN
ejpam-3261	192	3	ixjxkx	ixjxkx	NOUN
ejpam-3261	192	4	l	l	NOUN
ejpam-3261	192	5	according	accord	VERB
ejpam-3261	192	6	to	to	ADP
ejpam-3261	192	7	the	the	DET
ejpam-3261	192	8	property	property	NOUN
ejpam-3261	192	9	(	(	PUNCT
ejpam-3261	192	10	φx)a	φx)a	PROPN
ejpam-3261	192	11	=	=	PUNCT
ejpam-3261	192	12	√	√	PROPN
ejpam-3261	192	13	−1xa	−1xa	NUM
ejpam-3261	192	14	,	,	PUNCT
ejpam-3261	192	15	(	(	PUNCT
ejpam-3261	192	16	φx)â	φx)â	PROPN
ejpam-3261	192	17	=	=	SYM
ejpam-3261	192	18	−	−	PROPN
ejpam-3261	193	1	√	√	PROPN
ejpam-3261	193	2	−1x	−1x	PROPN
ejpam-3261	193	3	â	â	PUNCT
ejpam-3261	193	4	and	and	CCONJ
ejpam-3261	193	5	(	(	PUNCT
ejpam-3261	193	6	φx)0	φx)0	PROPN
ejpam-3261	193	7	=	=	SYM
ejpam-3261	193	8	0	0	PUNCT
ejpam-3261	194	1	and	and	CCONJ
ejpam-3261	194	2	then	then	ADV
ejpam-3261	194	3	using	use	VERB
ejpam-3261	194	4	the	the	DET
ejpam-3261	194	5	properties	property	NOUN
ejpam-3261	194	6	of	of	ADP
ejpam-3261	194	7	conharmonic	conharmonic	ADJ
ejpam-3261	194	8	tensor	tensor	NOUN
ejpam-3261	194	9	,	,	PUNCT
ejpam-3261	194	10	we	we	PRON
ejpam-3261	194	11	get	get	VERB
ejpam-3261	194	12	−4tâbcd̂	−4tâbcd̂	ADV
ejpam-3261	194	13	=	=	PUNCT
ejpam-3261	194	14	4c0δ	4c0δ	X
ejpam-3261	195	1	a	a	DET
ejpam-3261	195	2	b	b	NOUN
ejpam-3261	195	3	δ	δ	PROPN
ejpam-3261	195	4	d	d	NOUN
ejpam-3261	195	5	c	c	PROPN
ejpam-3261	195	6	hence	hence	ADV
ejpam-3261	195	7	aadbc	aadbc	NOUN
ejpam-3261	196	1	=	=	PUNCT
ejpam-3261	196	2	4bdahbchb	4bdahbchb	NUM
ejpam-3261	196	3	+	+	NOUN
ejpam-3261	196	4	badbbc	badbbc	NOUN
ejpam-3261	196	5	−	−	NOUN
ejpam-3261	196	6	4σ[aδh	4σ[aδh	NOUN
ejpam-3261	196	7	]	]	PUNCT
ejpam-3261	197	1	c	c	PROPN
ejpam-3261	198	1	σ[hδ	σ[hδ	PROPN
ejpam-3261	198	2	d	d	PROPN
ejpam-3261	198	3	b	b	AUX
ejpam-3261	198	4	]	]	X
ejpam-3261	198	5	+	+	CCONJ
ejpam-3261	198	6	δac	δac	NOUN
ejpam-3261	198	7	δ	δ	PROPN
ejpam-3261	198	8	d	d	PROPN
ejpam-3261	198	9	bσ	bσ	PROPN
ejpam-3261	198	10	2	2	NUM
ejpam-3261	198	11	0	0	NUM
ejpam-3261	198	12	−	−	NOUN
ejpam-3261	198	13	c0δ	c0δ	X
ejpam-3261	198	14	a	a	DET
ejpam-3261	198	15	b	b	NOUN
ejpam-3261	198	16	δ	δ	PROPN
ejpam-3261	198	17	d	d	PROPN
ejpam-3261	198	18	c	c	NOUN
ejpam-3261	198	19	−	−	PROPN
ejpam-3261	198	20	1	1	NUM
ejpam-3261	198	21	2n−	2n−	NUM
ejpam-3261	198	22	1	1	NUM
ejpam-3261	198	23	(	(	PUNCT
ejpam-3261	198	24	rdb	rdb	VERB
ejpam-3261	198	25	δ	δ	PROPN
ejpam-3261	198	26	a	a	DET
ejpam-3261	198	27	c	c	PROPN
ejpam-3261	198	28	+	+	CCONJ
ejpam-3261	198	29	rac	rac	PROPN
ejpam-3261	198	30	δ	δ	PROPN
ejpam-3261	198	31	d	d	PROPN
ejpam-3261	198	32	b	b	PROPN
ejpam-3261	198	33	)	)	PUNCT
ejpam-3261	198	34	theorem	theorem	VERB
ejpam-3261	198	35	3.3	3.3	NUM
ejpam-3261	198	36	.	.	PUNCT
ejpam-3261	199	1	if	if	SCONJ
ejpam-3261	199	2	m	m	PROPN
ejpam-3261	199	3	is	be	AUX
ejpam-3261	199	4	lcac∫	lcac∫	NOUN
ejpam-3261	199	5	-manifold	-manifold	ADJ
ejpam-3261	199	6	of	of	ADP
ejpam-3261	199	7	point	point	NOUN
ejpam-3261	199	8	constant	constant	ADJ
ejpam-3261	199	9	φhst	φhst	ADJ
ejpam-3261	199	10	-	-	PUNCT
ejpam-3261	199	11	curvature	curvature	NOUN
ejpam-3261	199	12	tensor	tensor	NOUN
ejpam-3261	199	13	with	with	ADP
ejpam-3261	199	14	flat	flat	ADJ
ejpam-3261	199	15	holomorphic	holomorphic	ADJ
ejpam-3261	199	16	sectional	sectional	ADJ
ejpam-3261	199	17	curvature	curvature	NOUN
ejpam-3261	199	18	tensor	tensor	NOUN
ejpam-3261	199	19	and	and	CCONJ
ejpam-3261	199	20	φ	φ	VERB
ejpam-3261	199	21	-	-	PUNCT
ejpam-3261	199	22	invariant	invariant	ADJ
ejpam-3261	199	23	ricci	ricci	PROPN
ejpam-3261	199	24	tensor	tensor	NOUN
ejpam-3261	199	25	.	.	PUNCT
ejpam-3261	200	1	then	then	ADV
ejpam-3261	200	2	m	m	PROPN
ejpam-3261	200	3	is	be	AUX
ejpam-3261	200	4	an	an	DET
ejpam-3261	200	5	einstein	einstein	ADJ
ejpam-3261	200	6	manifold	manifold	NOUN
ejpam-3261	200	7	.	.	PUNCT
ejpam-3261	201	1	proof	proof	NOUN
ejpam-3261	201	2	.	.	PUNCT
ejpam-3261	202	1	suppose	suppose	VERB
ejpam-3261	202	2	that	that	SCONJ
ejpam-3261	202	3	m	m	PROPN
ejpam-3261	202	4	is	be	AUX
ejpam-3261	202	5	a	a	DET
ejpam-3261	202	6	manifold	manifold	NOUN
ejpam-3261	202	7	of	of	ADP
ejpam-3261	202	8	point	point	NOUN
ejpam-3261	202	9	constant	constant	ADJ
ejpam-3261	202	10	φhst	φhst	ADJ
ejpam-3261	202	11	-	-	PUNCT
ejpam-3261	202	12	curvature	curvature	NOUN
ejpam-3261	202	13	tensor	tensor	NOUN
ejpam-3261	202	14	.	.	PUNCT
ejpam-3261	203	1	according	accord	VERB
ejpam-3261	203	2	to	to	ADP
ejpam-3261	203	3	theorem	theorem	NOUN
ejpam-3261	203	4	3.2	3.2	NUM
ejpam-3261	203	5	,	,	PUNCT
ejpam-3261	203	6	we	we	PRON
ejpam-3261	203	7	have	have	VERB
ejpam-3261	203	8	aadbc	aadbc	NOUN
ejpam-3261	203	9	−	−	ADP
ejpam-3261	203	10	4bdahbchb	4bdahbchb	NUM
ejpam-3261	203	11	−badbbc	−badbbc	NOUN
ejpam-3261	203	12	+	+	NUM
ejpam-3261	203	13	4σ[aδh	4σ[aδh	NOUN
ejpam-3261	203	14	]	]	PUNCT
ejpam-3261	203	15	c	c	PROPN
ejpam-3261	204	1	σ[hδ	σ[hδ	PROPN
ejpam-3261	204	2	d	d	PROPN
ejpam-3261	204	3	b	b	AUX
ejpam-3261	204	4	]	]	X
ejpam-3261	205	1	+	+	CCONJ
ejpam-3261	205	2	1	1	NUM
ejpam-3261	205	3	2n−	2n−	NUM
ejpam-3261	205	4	1	1	NUM
ejpam-3261	205	5	(	(	PUNCT
ejpam-3261	205	6	rdb	rdb	VERB
ejpam-3261	205	7	δ	δ	PROPN
ejpam-3261	205	8	a	a	DET
ejpam-3261	205	9	c	c	PROPN
ejpam-3261	205	10	+	+	CCONJ
ejpam-3261	205	11	rac	rac	PROPN
ejpam-3261	205	12	δ	δ	PROPN
ejpam-3261	205	13	d	d	PROPN
ejpam-3261	205	14	b	b	PROPN
ejpam-3261	205	15	)	)	PUNCT
ejpam-3261	205	16	=	=	PUNCT
ejpam-3261	205	17	δac	δac	PROPN
ejpam-3261	205	18	δ	δ	PROPN
ejpam-3261	205	19	d	d	PROPN
ejpam-3261	205	20	bσ	bσ	PROPN
ejpam-3261	205	21	2	2	NUM
ejpam-3261	205	22	0	0	NUM
ejpam-3261	205	23	−	−	NOUN
ejpam-3261	205	24	c0δ	c0δ	X
ejpam-3261	205	25	a	a	DET
ejpam-3261	205	26	b	b	NOUN
ejpam-3261	205	27	δ	δ	PROPN
ejpam-3261	205	28	d	d	X
ejpam-3261	205	29	c	c	X
ejpam-3261	205	30	(	(	PUNCT
ejpam-3261	205	31	3.1	3.1	NUM
ejpam-3261	205	32	)	)	PUNCT
ejpam-3261	205	33	symmetrizing	symmetrizing	NOUN
ejpam-3261	205	34	and	and	CCONJ
ejpam-3261	205	35	then	then	ADV
ejpam-3261	205	36	antisymmetrizing	antisymmetrize	VERB
ejpam-3261	205	37	(	(	PUNCT
ejpam-3261	205	38	3.1	3.1	NUM
ejpam-3261	205	39	)	)	PUNCT
ejpam-3261	205	40	by	by	ADP
ejpam-3261	205	41	the	the	DET
ejpam-3261	205	42	indices	index	NOUN
ejpam-3261	205	43	(	(	PUNCT
ejpam-3261	205	44	a	a	DET
ejpam-3261	205	45	,	,	PUNCT
ejpam-3261	205	46	h	h	NOUN
ejpam-3261	205	47	)	)	PUNCT
ejpam-3261	205	48	and	and	CCONJ
ejpam-3261	205	49	(	(	PUNCT
ejpam-3261	205	50	a	a	DET
ejpam-3261	205	51	,	,	PUNCT
ejpam-3261	205	52	d	d	NOUN
ejpam-3261	205	53	)	)	PUNCT
ejpam-3261	205	54	respectively	respectively	ADV
ejpam-3261	205	55	and	and	CCONJ
ejpam-3261	205	56	since	since	SCONJ
ejpam-3261	205	57	m	m	PROPN
ejpam-3261	205	58	is	be	AUX
ejpam-3261	205	59	a	a	DET
ejpam-3261	205	60	manifold	manifold	NOUN
ejpam-3261	205	61	with	with	ADP
ejpam-3261	205	62	flat	flat	ADJ
ejpam-3261	205	63	holomorphic	holomorphic	ADJ
ejpam-3261	205	64	sectional	sectional	ADJ
ejpam-3261	205	65	curvature	curvature	NOUN
ejpam-3261	205	66	tensor	tensor	NOUN
ejpam-3261	205	67	,	,	PUNCT
ejpam-3261	205	68	then	then	ADV
ejpam-3261	205	69	we	we	PRON
ejpam-3261	205	70	have	have	VERB
ejpam-3261	205	71	1	1	NUM
ejpam-3261	205	72	2n−	2n−	NUM
ejpam-3261	205	73	1	1	NUM
ejpam-3261	205	74	(	(	PUNCT
ejpam-3261	205	75	r	r	NOUN
ejpam-3261	206	1	[	[	X
ejpam-3261	206	2	d	d	X
ejpam-3261	206	3	b	b	PROPN
ejpam-3261	206	4	δ	δ	PROPN
ejpam-3261	206	5	a	a	X
ejpam-3261	206	6	]	]	X
ejpam-3261	206	7	c	c	X
ejpam-3261	206	8	+	+	CCONJ
ejpam-3261	206	9	r[a	r[a	NOUN
ejpam-3261	206	10	c	c	NOUN
ejpam-3261	206	11	δ	δ	PROPN
ejpam-3261	207	1	d	d	X
ejpam-3261	207	2	]	]	X
ejpam-3261	207	3	b	b	X
ejpam-3261	207	4	)	)	PUNCT
ejpam-3261	207	5	=	=	SYM
ejpam-3261	207	6	1	1	NUM
ejpam-3261	207	7	2	2	NUM
ejpam-3261	207	8	(	(	PUNCT
ejpam-3261	207	9	δdb	δdb	NOUN
ejpam-3261	207	10	δ	δ	PROPN
ejpam-3261	207	11	a	a	DET
ejpam-3261	207	12	c	c	PROPN
ejpam-3261	207	13	−	−	PROPN
ejpam-3261	207	14	δdc	δdc	ADJ
ejpam-3261	207	15	δab	δab	NOUN
ejpam-3261	207	16	)	)	PUNCT
ejpam-3261	207	17	(	(	PUNCT
ejpam-3261	207	18	σ2	σ2	NOUN
ejpam-3261	207	19	0	0	NUM
ejpam-3261	207	20	+	+	CCONJ
ejpam-3261	207	21	c0	c0	NOUN
ejpam-3261	207	22	)	)	PUNCT
ejpam-3261	207	23	(	(	PUNCT
ejpam-3261	207	24	3.2	3.2	NUM
ejpam-3261	207	25	)	)	PUNCT
ejpam-3261	207	26	h.	h.	PROPN
ejpam-3261	207	27	m.	m.	PROPN
ejpam-3261	207	28	abood	abood	PROPN
ejpam-3261	207	29	,	,	PUNCT
ejpam-3261	207	30	f.	f.	PROPN
ejpam-3261	207	31	h.	h.	PROPN
ejpam-3261	207	32	j.	j.	PROPN
ejpam-3261	207	33	al	al	PROPN
ejpam-3261	207	34	-	-	PUNCT
ejpam-3261	207	35	hussaini	hussaini	PROPN
ejpam-3261	207	36	/	/	SYM
ejpam-3261	207	37	eur	eur	PROPN
ejpam-3261	207	38	.	.	PUNCT
ejpam-3261	208	1	j.	j.	PROPN
ejpam-3261	208	2	pure	pure	PROPN
ejpam-3261	208	3	appl	appl	PROPN
ejpam-3261	208	4	.	.	PROPN
ejpam-3261	208	5	math	math	PROPN
ejpam-3261	208	6	,	,	PUNCT
ejpam-3261	208	7	11	11	NUM
ejpam-3261	208	8	(	(	PUNCT
ejpam-3261	208	9	3	3	NUM
ejpam-3261	208	10	)	)	PUNCT
ejpam-3261	208	11	(	(	PUNCT
ejpam-3261	208	12	2018	2018	NUM
ejpam-3261	208	13	)	)	PUNCT
ejpam-3261	208	14	,	,	PUNCT
ejpam-3261	208	15	671	671	NUM
ejpam-3261	208	16	-	-	SYM
ejpam-3261	208	17	681	681	NUM
ejpam-3261	208	18	679	679	NUM
ejpam-3261	208	19	contracting	contracting	NOUN
ejpam-3261	208	20	(	(	PUNCT
ejpam-3261	208	21	3.2	3.2	NUM
ejpam-3261	208	22	)	)	PUNCT
ejpam-3261	208	23	by	by	ADP
ejpam-3261	208	24	the	the	DET
ejpam-3261	208	25	indices	index	NOUN
ejpam-3261	208	26	(	(	PUNCT
ejpam-3261	208	27	d	d	NOUN
ejpam-3261	208	28	,	,	PUNCT
ejpam-3261	208	29	c	c	NOUN
ejpam-3261	208	30	)	)	PUNCT
ejpam-3261	209	1	,	,	PUNCT
ejpam-3261	209	2	we	we	PRON
ejpam-3261	209	3	deduce	deduce	VERB
ejpam-3261	209	4	−	−	PROPN
ejpam-3261	209	5	(	(	PUNCT
ejpam-3261	209	6	n−	n−	NOUN
ejpam-3261	209	7	2	2	NUM
ejpam-3261	209	8	)	)	PUNCT
ejpam-3261	209	9	2(2n−	2(2n−	NUM
ejpam-3261	209	10	1	1	NUM
ejpam-3261	209	11	)	)	PUNCT
ejpam-3261	209	12	(	(	PUNCT
ejpam-3261	209	13	rab	rab	PROPN
ejpam-3261	209	14	+	+	CCONJ
ejpam-3261	209	15	rddδ	rddδ	VERB
ejpam-3261	209	16	a	a	DET
ejpam-3261	209	17	b	b	NOUN
ejpam-3261	209	18	)	)	PUNCT
ejpam-3261	209	19	=	=	SYM
ejpam-3261	210	1	−(n−	−(n−	ADJ
ejpam-3261	210	2	1	1	NUM
ejpam-3261	210	3	)	)	PUNCT
ejpam-3261	210	4	2	2	NUM
ejpam-3261	210	5	δab	δab	NOUN
ejpam-3261	210	6	(	(	PUNCT
ejpam-3261	210	7	σ2	σ2	NOUN
ejpam-3261	210	8	0	0	NUM
ejpam-3261	210	9	+	+	CCONJ
ejpam-3261	210	10	c0	c0	NOUN
ejpam-3261	210	11	)	)	PUNCT
ejpam-3261	210	12	(	(	PUNCT
ejpam-3261	210	13	3.3	3.3	NUM
ejpam-3261	210	14	)	)	PUNCT
ejpam-3261	210	15	symmetrizing	symmetrizing	NOUN
ejpam-3261	210	16	and	and	CCONJ
ejpam-3261	210	17	antisymmetrizing	antisymmetrize	VERB
ejpam-3261	210	18	(	(	PUNCT
ejpam-3261	210	19	3.3	3.3	NUM
ejpam-3261	210	20	)	)	PUNCT
ejpam-3261	210	21	by	by	ADP
ejpam-3261	210	22	the	the	DET
ejpam-3261	210	23	indices	index	NOUN
ejpam-3261	210	24	(	(	PUNCT
ejpam-3261	210	25	a	a	DET
ejpam-3261	210	26	,	,	PUNCT
ejpam-3261	210	27	d	d	NOUN
ejpam-3261	210	28	)	)	PUNCT
ejpam-3261	210	29	,	,	PUNCT
ejpam-3261	210	30	we	we	PRON
ejpam-3261	210	31	obtain	obtain	VERB
ejpam-3261	210	32	rab	rab	NOUN
ejpam-3261	210	33	=	=	PROPN
ejpam-3261	210	34	eδab	eδab	PROPN
ejpam-3261	210	35	where	where	SCONJ
ejpam-3261	210	36	e	e	X
ejpam-3261	210	37	=	=	SYM
ejpam-3261	210	38	(	(	PUNCT
ejpam-3261	210	39	2n−	2n−	PROPN
ejpam-3261	210	40	1)(n−	1)(n−	PROPN
ejpam-3261	210	41	1	1	NUM
ejpam-3261	210	42	)	)	PUNCT
ejpam-3261	210	43	(	(	PUNCT
ejpam-3261	210	44	n−	n−	NOUN
ejpam-3261	210	45	2	2	NUM
ejpam-3261	210	46	)	)	PUNCT
ejpam-3261	210	47	(	(	PUNCT
ejpam-3261	210	48	σ2	σ2	NOUN
ejpam-3261	210	49	0	0	NUM
ejpam-3261	210	50	+	+	CCONJ
ejpam-3261	210	51	c0	c0	NOUN
ejpam-3261	210	52	)	)	PUNCT
ejpam-3261	210	53	since	since	SCONJ
ejpam-3261	210	54	the	the	DET
ejpam-3261	210	55	ricci	ricci	PROPN
ejpam-3261	210	56	tensor	tensor	NOUN
ejpam-3261	210	57	is	be	AUX
ejpam-3261	210	58	φ	φ	VERB
ejpam-3261	210	59	-	-	ADJ
ejpam-3261	210	60	invariant	invariant	ADJ
ejpam-3261	210	61	therefore	therefore	ADV
ejpam-3261	210	62	m	m	PROPN
ejpam-3261	210	63	is	be	AUX
ejpam-3261	210	64	einstein	einstein	PROPN
ejpam-3261	210	65	manifold	manifold	PROPN
ejpam-3261	210	66	.	.	PUNCT
ejpam-3261	211	1	theorem	theorem	VERB
ejpam-3261	211	2	3.4	3.4	NUM
ejpam-3261	211	3	.	.	PUNCT
ejpam-3261	212	1	if	if	SCONJ
ejpam-3261	212	2	m	m	PROPN
ejpam-3261	212	3	is	be	AUX
ejpam-3261	212	4	lcac∫	lcac∫	NOUN
ejpam-3261	212	5	-manifold	-manifold	ADJ
ejpam-3261	212	6	of	of	ADP
ejpam-3261	212	7	point	point	NOUN
ejpam-3261	212	8	constant	constant	ADJ
ejpam-3261	212	9	φhst	φhst	ADJ
ejpam-3261	212	10	-	-	PUNCT
ejpam-3261	212	11	curvature	curvature	NOUN
ejpam-3261	212	12	tensor	tensor	NOUN
ejpam-3261	212	13	and	and	CCONJ
ejpam-3261	212	14	φinvariant	φinvariant	ADJ
ejpam-3261	212	15	ricci	ricci	PROPN
ejpam-3261	212	16	tensor	tensor	NOUN
ejpam-3261	212	17	,	,	PUNCT
ejpam-3261	212	18	then	then	ADV
ejpam-3261	212	19	m	m	NOUN
ejpam-3261	212	20	is	be	AUX
ejpam-3261	212	21	an	an	DET
ejpam-3261	212	22	einstein	einstein	NOUN
ejpam-3261	212	23	manifold	manifold	NOUN
ejpam-3261	212	24	if	if	SCONJ
ejpam-3261	212	25	and	and	CCONJ
ejpam-3261	212	26	only	only	ADV
ejpam-3261	212	27	if	if	SCONJ
ejpam-3261	212	28	aacbc	aacbc	NOUN
ejpam-3261	212	29	=	=	PRON
ejpam-3261	212	30	bacbbc	bacbbc	NOUN
ejpam-3261	212	31	+	+	CCONJ
ejpam-3261	212	32	c1δ	c1δ	VERB
ejpam-3261	212	33	a	a	DET
ejpam-3261	212	34	b	b	NOUN
ejpam-3261	212	35	.	.	PUNCT
ejpam-3261	213	1	proof	proof	NOUN
ejpam-3261	213	2	.	.	PUNCT
ejpam-3261	214	1	suppose	suppose	VERB
ejpam-3261	214	2	that	that	SCONJ
ejpam-3261	214	3	m	m	PROPN
ejpam-3261	214	4	is	be	AUX
ejpam-3261	214	5	a	a	DET
ejpam-3261	214	6	manifold	manifold	NOUN
ejpam-3261	214	7	of	of	ADP
ejpam-3261	214	8	point	point	NOUN
ejpam-3261	214	9	constant	constant	ADJ
ejpam-3261	214	10	φhst	φhst	ADJ
ejpam-3261	214	11	-	-	PUNCT
ejpam-3261	214	12	curvature	curvature	NOUN
ejpam-3261	214	13	tensor	tensor	NOUN
ejpam-3261	214	14	.	.	PUNCT
ejpam-3261	215	1	according	accord	VERB
ejpam-3261	215	2	to	to	ADP
ejpam-3261	215	3	the	the	DET
ejpam-3261	215	4	theorem	theorem	NOUN
ejpam-3261	215	5	3.2	3.2	NUM
ejpam-3261	215	6	,	,	PUNCT
ejpam-3261	215	7	we	we	PRON
ejpam-3261	215	8	have	have	VERB
ejpam-3261	215	9	aadbc	aadbc	NOUN
ejpam-3261	215	10	=	=	NOUN
ejpam-3261	216	1	4bdahbchb	4bdahbchb	NUM
ejpam-3261	216	2	+	+	NOUN
ejpam-3261	216	3	badbbc	badbbc	NOUN
ejpam-3261	216	4	−	−	NOUN
ejpam-3261	216	5	4σ[aδh	4σ[aδh	NOUN
ejpam-3261	216	6	]	]	PUNCT
ejpam-3261	217	1	c	c	PROPN
ejpam-3261	218	1	σ[hδ	σ[hδ	PROPN
ejpam-3261	218	2	d	d	PROPN
ejpam-3261	218	3	b	b	AUX
ejpam-3261	218	4	]	]	X
ejpam-3261	218	5	+	+	CCONJ
ejpam-3261	218	6	δac	δac	NOUN
ejpam-3261	218	7	δ	δ	PROPN
ejpam-3261	218	8	d	d	PROPN
ejpam-3261	218	9	bσ	bσ	PROPN
ejpam-3261	218	10	2	2	NUM
ejpam-3261	218	11	0	0	NUM
ejpam-3261	218	12	−	−	NOUN
ejpam-3261	218	13	c0δ	c0δ	X
ejpam-3261	218	14	a	a	DET
ejpam-3261	218	15	b	b	NOUN
ejpam-3261	218	16	δ	δ	PROPN
ejpam-3261	218	17	d	d	PROPN
ejpam-3261	218	18	c	c	NOUN
ejpam-3261	218	19	−	−	PROPN
ejpam-3261	218	20	1	1	NUM
ejpam-3261	218	21	(	(	PUNCT
ejpam-3261	218	22	2n−	2n−	PROPN
ejpam-3261	218	23	1	1	NUM
ejpam-3261	218	24	)	)	PUNCT
ejpam-3261	218	25	(	(	PUNCT
ejpam-3261	218	26	rdb	rdb	VERB
ejpam-3261	218	27	δ	δ	PROPN
ejpam-3261	218	28	a	a	DET
ejpam-3261	218	29	c	c	PROPN
ejpam-3261	218	30	+	+	CCONJ
ejpam-3261	218	31	rac	rac	PROPN
ejpam-3261	218	32	δ	δ	PROPN
ejpam-3261	218	33	d	d	PROPN
ejpam-3261	218	34	b	b	PROPN
ejpam-3261	218	35	)	)	PUNCT
ejpam-3261	218	36	(	(	PUNCT
ejpam-3261	218	37	3.4	3.4	NUM
ejpam-3261	218	38	)	)	PUNCT
ejpam-3261	218	39	symmetrizing	symmetrizing	NOUN
ejpam-3261	218	40	(	(	PUNCT
ejpam-3261	218	41	3.4	3.4	NUM
ejpam-3261	218	42	)	)	PUNCT
ejpam-3261	218	43	by	by	ADP
ejpam-3261	218	44	the	the	DET
ejpam-3261	218	45	indices	index	NOUN
ejpam-3261	218	46	(	(	PUNCT
ejpam-3261	218	47	a	a	DET
ejpam-3261	218	48	,	,	PUNCT
ejpam-3261	218	49	h	h	NOUN
ejpam-3261	218	50	)	)	PUNCT
ejpam-3261	218	51	,	,	PUNCT
ejpam-3261	218	52	we	we	PRON
ejpam-3261	218	53	get	get	VERB
ejpam-3261	218	54	aadbc	aadbc	NOUN
ejpam-3261	218	55	=	=	PRON
ejpam-3261	218	56	badbbc	badbbc	NOUN
ejpam-3261	218	57	+	+	CCONJ
ejpam-3261	218	58	δac	δac	NOUN
ejpam-3261	218	59	δ	δ	PROPN
ejpam-3261	218	60	d	d	PROPN
ejpam-3261	218	61	bσ	bσ	PROPN
ejpam-3261	218	62	2	2	NUM
ejpam-3261	218	63	0	0	NUM
ejpam-3261	218	64	−	−	NOUN
ejpam-3261	219	1	c0δ	c0δ	X
ejpam-3261	219	2	a	a	DET
ejpam-3261	219	3	b	b	NOUN
ejpam-3261	219	4	δ	δ	PROPN
ejpam-3261	219	5	d	d	PROPN
ejpam-3261	219	6	c	c	NOUN
ejpam-3261	219	7	−	−	PROPN
ejpam-3261	219	8	1	1	NUM
ejpam-3261	219	9	(	(	PUNCT
ejpam-3261	219	10	2n−	2n−	PROPN
ejpam-3261	219	11	1	1	NUM
ejpam-3261	219	12	)	)	PUNCT
ejpam-3261	219	13	(	(	PUNCT
ejpam-3261	219	14	rdb	rdb	VERB
ejpam-3261	219	15	δ	δ	PROPN
ejpam-3261	219	16	a	a	DET
ejpam-3261	219	17	c	c	PROPN
ejpam-3261	219	18	+	+	CCONJ
ejpam-3261	219	19	rac	rac	PROPN
ejpam-3261	219	20	δ	δ	PROPN
ejpam-3261	219	21	d	d	PROPN
ejpam-3261	219	22	b	b	PROPN
ejpam-3261	219	23	)	)	PUNCT
ejpam-3261	219	24	(	(	PUNCT
ejpam-3261	219	25	3.5	3.5	NUM
ejpam-3261	219	26	)	)	PUNCT
ejpam-3261	219	27	contracting	contracting	NOUN
ejpam-3261	219	28	(	(	PUNCT
ejpam-3261	219	29	3.5	3.5	NUM
ejpam-3261	219	30	)	)	PUNCT
ejpam-3261	219	31	by	by	ADP
ejpam-3261	219	32	the	the	DET
ejpam-3261	219	33	indices	index	NOUN
ejpam-3261	219	34	(	(	PUNCT
ejpam-3261	219	35	c	c	X
ejpam-3261	219	36	,	,	PUNCT
ejpam-3261	219	37	d	d	NOUN
ejpam-3261	219	38	)	)	PUNCT
ejpam-3261	219	39	,	,	PUNCT
ejpam-3261	219	40	we	we	PRON
ejpam-3261	219	41	deduce	deduce	VERB
ejpam-3261	219	42	aacbc	aacbc	NOUN
ejpam-3261	219	43	=	=	NOUN
ejpam-3261	219	44	bacbbc	bacbbc	NOUN
ejpam-3261	219	45	+	+	CCONJ
ejpam-3261	219	46	(	(	PUNCT
ejpam-3261	219	47	σ2	σ2	NOUN
ejpam-3261	219	48	0	0	NUM
ejpam-3261	220	1	−	−	PROPN
ejpam-3261	220	2	nc0)δab	nc0)δab	PROPN
ejpam-3261	220	3	−	−	NOUN
ejpam-3261	220	4	2	2	NUM
ejpam-3261	220	5	(	(	PUNCT
ejpam-3261	220	6	2n−	2n−	PROPN
ejpam-3261	220	7	1	1	NUM
ejpam-3261	220	8	)	)	PUNCT
ejpam-3261	220	9	rab	rab	NOUN
ejpam-3261	220	10	(	(	PUNCT
ejpam-3261	220	11	3.6	3.6	NUM
ejpam-3261	220	12	)	)	PUNCT
ejpam-3261	220	13	since	since	SCONJ
ejpam-3261	220	14	m	m	PROPN
ejpam-3261	220	15	is	be	AUX
ejpam-3261	220	16	an	an	DET
ejpam-3261	220	17	einstein	einstein	NOUN
ejpam-3261	220	18	manifold	manifold	NOUN
ejpam-3261	220	19	,	,	PUNCT
ejpam-3261	220	20	it	it	PRON
ejpam-3261	220	21	follows	follow	VERB
ejpam-3261	220	22	that	that	SCONJ
ejpam-3261	220	23	aacbc	aacbc	NOUN
ejpam-3261	220	24	=	=	NOUN
ejpam-3261	220	25	bacbbc	bacbbc	NOUN
ejpam-3261	220	26	+	+	CCONJ
ejpam-3261	220	27	c1δ	c1δ	VERB
ejpam-3261	220	28	a	a	DET
ejpam-3261	220	29	b	b	NOUN
ejpam-3261	220	30	where	where	SCONJ
ejpam-3261	220	31	c1	c1	PROPN
ejpam-3261	220	32	=	=	PROPN
ejpam-3261	221	1	σ2	σ2	PROPN
ejpam-3261	221	2	0	0	NUM
ejpam-3261	221	3	−	−	PROPN
ejpam-3261	222	1	nc0	nc0	ADV
ejpam-3261	222	2	−	−	PROPN
ejpam-3261	222	3	2e	2e	NOUN
ejpam-3261	222	4	(	(	PUNCT
ejpam-3261	222	5	2n−1	2n−1	NUM
ejpam-3261	222	6	)	)	PUNCT
ejpam-3261	222	7	conversely	conversely	ADV
ejpam-3261	222	8	,	,	PUNCT
ejpam-3261	222	9	by	by	ADP
ejpam-3261	222	10	substituted	substitute	VERB
ejpam-3261	222	11	aacbc	aacbc	NOUN
ejpam-3261	222	12	in	in	ADP
ejpam-3261	222	13	equation	equation	NOUN
ejpam-3261	222	14	(	(	PUNCT
ejpam-3261	222	15	3.6	3.6	NUM
ejpam-3261	222	16	)	)	PUNCT
ejpam-3261	222	17	,	,	PUNCT
ejpam-3261	222	18	we	we	PRON
ejpam-3261	222	19	get	get	VERB
ejpam-3261	222	20	rab	rab	NOUN
ejpam-3261	222	21	=	=	PROPN
ejpam-3261	222	22	eδab	eδab	PROPN
ejpam-3261	222	23	according	accord	VERB
ejpam-3261	222	24	to	to	ADP
ejpam-3261	222	25	φ	φ	PROPN
ejpam-3261	222	26	-	-	PUNCT
ejpam-3261	222	27	invariant	invariant	PROPN
ejpam-3261	222	28	of	of	ADP
ejpam-3261	222	29	ricci	ricci	PROPN
ejpam-3261	222	30	tensor	tensor	NOUN
ejpam-3261	222	31	,	,	PUNCT
ejpam-3261	222	32	it	it	PRON
ejpam-3261	222	33	follows	follow	VERB
ejpam-3261	222	34	that	that	SCONJ
ejpam-3261	222	35	m	m	PROPN
ejpam-3261	222	36	is	be	AUX
ejpam-3261	222	37	einstein	einstein	PROPN
ejpam-3261	222	38	manifold	manifold	PROPN
ejpam-3261	222	39	.	.	PUNCT
ejpam-3261	223	1	references	reference	NOUN
ejpam-3261	223	2	680	680	NUM
ejpam-3261	223	3	references	reference	NOUN
ejpam-3261	223	4	[	[	X
ejpam-3261	223	5	1	1	NUM
ejpam-3261	223	6	]	]	X
ejpam-3261	223	7	d.e	d.e	PROPN
ejpam-3261	223	8	.	.	PROPN
ejpam-3261	223	9	blair	blair	PROPN
ejpam-3261	223	10	,	,	PUNCT
ejpam-3261	223	11	the	the	DET
ejpam-3261	223	12	theory	theory	NOUN
ejpam-3261	223	13	of	of	ADP
ejpam-3261	223	14	quasi	quasi	ADJ
ejpam-3261	223	15	-	-	ADJ
ejpam-3261	223	16	sasakian	sasakian	ADJ
ejpam-3261	223	17	structures	structure	NOUN
ejpam-3261	223	18	,	,	PUNCT
ejpam-3261	223	19	j.	j.	PROPN
ejpam-3261	223	20	differential	differential	PROPN
ejpam-3261	223	21	geometry	geometry	NOUN
ejpam-3261	223	22	,	,	PUNCT
ejpam-3261	223	23	n.	n.	NOUN
ejpam-3261	223	24	1	1	NUM
ejpam-3261	223	25	,	,	PUNCT
ejpam-3261	223	26	p.	p.	NOUN
ejpam-3261	223	27	331	331	NUM
ejpam-3261	223	28	-	-	SYM
ejpam-3261	223	29	345	345	NUM
ejpam-3261	223	30	,	,	PUNCT
ejpam-3261	223	31	1967	1967	NUM
ejpam-3261	223	32	.	.	PUNCT
ejpam-3261	224	1	[	[	X
ejpam-3261	224	2	2	2	X
ejpam-3261	224	3	]	]	X
ejpam-3261	224	4	d.e	d.e	PROPN
ejpam-3261	224	5	.	.	PROPN
ejpam-3261	224	6	blair	blair	PROPN
ejpam-3261	224	7	,	,	PUNCT
ejpam-3261	224	8	riemannian	riemannian	ADJ
ejpam-3261	224	9	geometry	geometry	NOUN
ejpam-3261	224	10	of	of	ADP
ejpam-3261	224	11	contact	contact	NOUN
ejpam-3261	224	12	and	and	CCONJ
ejpam-3261	224	13	symplectic	symplectic	ADJ
ejpam-3261	224	14	manifolds	manifold	NOUN
ejpam-3261	224	15	,	,	PUNCT
ejpam-3261	224	16	in	in	ADP
ejpam-3261	224	17	progr	progr	NOUN
ejpam-3261	224	18	.	.	PUNCT
ejpam-3261	225	1	math	math	NOUN
ejpam-3261	225	2	.	.	PUNCT
ejpam-3261	226	1	birkhauser	birkhauser	PROPN
ejpam-3261	226	2	,	,	PUNCT
ejpam-3261	226	3	boston	boston	PROPN
ejpam-3261	226	4	,	,	PUNCT
ejpam-3261	226	5	ma	ma	PROPN
ejpam-3261	226	6	,	,	PUNCT
ejpam-3261	226	7	vol	vol	NOUN
ejpam-3261	226	8	.	.	PROPN
ejpam-3261	226	9	203	203	NUM
ejpam-3261	226	10	,	,	PUNCT
ejpam-3261	226	11	2002	2002	NUM
ejpam-3261	226	12	.	.	PUNCT
ejpam-3261	227	1	[	[	X
ejpam-3261	227	2	3	3	X
ejpam-3261	227	3	]	]	X
ejpam-3261	227	4	e.	e.	PROPN
ejpam-3261	227	5	cartan	cartan	PROPN
ejpam-3261	227	6	,	,	PUNCT
ejpam-3261	227	7	riemannian	riemannian	ADJ
ejpam-3261	227	8	geometry	geometry	NOUN
ejpam-3261	227	9	in	in	ADP
ejpam-3261	227	10	an	an	DET
ejpam-3261	227	11	orthogonal	orthogonal	ADJ
ejpam-3261	227	12	frame	frame	NOUN
ejpam-3261	227	13	,	,	PUNCT
ejpam-3261	227	14	from	from	ADP
ejpam-3261	227	15	lectures	lecture	NOUN
ejpam-3261	227	16	delivered	deliver	VERB
ejpam-3261	227	17	by	by	ADP
ejpam-3261	227	18	e.	e.	PROPN
ejpam-3261	227	19	lie	lie	PROPN
ejpam-3261	227	20	cartan	cartan	PROPN
ejpam-3261	227	21	at	at	ADP
ejpam-3261	227	22	the	the	DET
ejpam-3261	227	23	sorbonne	sorbonne	PROPN
ejpam-3261	227	24	1926	1926	NUM
ejpam-3261	227	25	-	-	SYM
ejpam-3261	227	26	27	27	NUM
ejpam-3261	227	27	,	,	PUNCT
ejpam-3261	227	28	izdat	izdat	NOUN
ejpam-3261	227	29	.	.	PUNCT
ejpam-3261	228	1	moskov	moskov	PROPN
ejpam-3261	228	2	.	.	PUNCT
ejpam-3261	229	1	univ	univ	PROPN
ejpam-3261	229	2	.	.	PROPN
ejpam-3261	229	3	,	,	PUNCT
ejpam-3261	229	4	moscow	moscow	PROPN
ejpam-3261	229	5	,	,	PUNCT
ejpam-3261	229	6	1960	1960	NUM
ejpam-3261	229	7	;	;	PUNCT
ejpam-3261	229	8	world	world	PROPN
ejpam-3261	229	9	sci	sci	PROPN
ejpam-3261	229	10	.	.	PROPN
ejpam-3261	229	11	,	,	PUNCT
ejpam-3261	229	12	singapore	singapore	PROPN
ejpam-3261	229	13	,	,	PUNCT
ejpam-3261	229	14	2001	2001	NUM
ejpam-3261	229	15	.	.	PUNCT
ejpam-3261	230	1	[	[	X
ejpam-3261	230	2	4	4	NUM
ejpam-3261	230	3	]	]	X
ejpam-3261	230	4	s.i	s.i	PROPN
ejpam-3261	230	5	.	.	PROPN
ejpam-3261	230	6	goldberg	goldberg	PROPN
ejpam-3261	230	7	and	and	CCONJ
ejpam-3261	230	8	k.	k.	PROPN
ejpam-3261	230	9	yano	yano	PROPN
ejpam-3261	230	10	,	,	PUNCT
ejpam-3261	230	11	integrabilty	integrabilty	NOUN
ejpam-3261	230	12	of	of	ADP
ejpam-3261	230	13	almost	almost	ADV
ejpam-3261	230	14	cosymplectic	cosymplectic	ADJ
ejpam-3261	230	15	structures	structure	NOUN
ejpam-3261	230	16	,	,	PUNCT
ejpam-3261	230	17	pacific	pacific	PROPN
ejpam-3261	230	18	journal	journal	NOUN
ejpam-3261	230	19	of	of	ADP
ejpam-3261	230	20	mathematics	mathematic	NOUN
ejpam-3261	230	21	,	,	PUNCT
ejpam-3261	230	22	31	31	NUM
ejpam-3261	230	23	,	,	PUNCT
ejpam-3261	230	24	373	373	NUM
ejpam-3261	230	25	-	-	SYM
ejpam-3261	230	26	382	382	NUM
ejpam-3261	230	27	,	,	PUNCT
ejpam-3261	230	28	1969	1969	NUM
ejpam-3261	230	29	.	.	PUNCT
ejpam-3261	231	1	[	[	X
ejpam-3261	231	2	5	5	X
ejpam-3261	231	3	]	]	X
ejpam-3261	231	4	y.	y.	PROPN
ejpam-3261	231	5	ishi	ishi	PROPN
ejpam-3261	231	6	,	,	PUNCT
ejpam-3261	231	7	on	on	ADP
ejpam-3261	231	8	conharmonic	conharmonic	ADJ
ejpam-3261	231	9	transformation	transformation	NOUN
ejpam-3261	231	10	,	,	PUNCT
ejpam-3261	231	11	tensor	tensor	NOUN
ejpam-3261	231	12	n.	n.	PROPN
ejpam-3261	231	13	s.	s.	PROPN
ejpam-3261	231	14	7	7	NUM
ejpam-3261	231	15	,	,	PUNCT
ejpam-3261	231	16	pp	pp	ADJ
ejpam-3261	231	17	.	.	PUNCT
ejpam-3261	232	1	73	73	NUM
ejpam-3261	232	2	-	-	SYM
ejpam-3261	232	3	80	80	NUM
ejpam-3261	232	4	,	,	PUNCT
ejpam-3261	232	5	1957	1957	NUM
ejpam-3261	232	6	.	.	PUNCT
ejpam-3261	233	1	[	[	X
ejpam-3261	233	2	6	6	NUM
ejpam-3261	233	3	]	]	PUNCT
ejpam-3261	233	4	s.	s.	PROPN
ejpam-3261	233	5	v.	v.	PROPN
ejpam-3261	233	6	kharitonova	kharitonova	PROPN
ejpam-3261	233	7	,	,	PUNCT
ejpam-3261	233	8	on	on	ADP
ejpam-3261	233	9	the	the	DET
ejpam-3261	233	10	geometry	geometry	NOUN
ejpam-3261	233	11	of	of	ADP
ejpam-3261	233	12	locally	locally	ADV
ejpam-3261	233	13	conformal	conformal	ADJ
ejpam-3261	233	14	almost	almost	ADV
ejpam-3261	233	15	cosymplectic	cosymplectic	ADJ
ejpam-3261	233	16	manifolds	manifold	NOUN
ejpam-3261	233	17	,	,	PUNCT
ejpam-3261	233	18	matematicheskie	matematicheskie	NOUN
ejpam-3261	233	19	zametki	zametki	NOUN
ejpam-3261	233	20	,	,	PUNCT
ejpam-3261	233	21	vol	vol	NOUN
ejpam-3261	233	22	.	.	PROPN
ejpam-3261	233	23	86	86	NUM
ejpam-3261	233	24	,	,	PUNCT
ejpam-3261	233	25	no	no	INTJ
ejpam-3261	233	26	.	.	NOUN
ejpam-3261	233	27	1	1	NUM
ejpam-3261	233	28	,	,	PUNCT
ejpam-3261	233	29	pp	pp	ADJ
ejpam-3261	233	30	.	.	PUNCT
ejpam-3261	234	1	126	126	NUM
ejpam-3261	234	2	-	-	SYM
ejpam-3261	234	3	138	138	NUM
ejpam-3261	234	4	,	,	PUNCT
ejpam-3261	234	5	2009	2009	NUM
ejpam-3261	234	6	.	.	PUNCT
ejpam-3261	235	1	[	[	X
ejpam-3261	235	2	7	7	X
ejpam-3261	235	3	]	]	X
ejpam-3261	235	4	b.h	b.h	PROPN
ejpam-3261	235	5	.	.	PUNCT
ejpam-3261	235	6	kim	kim	PROPN
ejpam-3261	235	7	,	,	PUNCT
ejpam-3261	235	8	fibred	fibre	VERB
ejpam-3261	235	9	riemannian	riemannian	ADJ
ejpam-3261	235	10	spaces	space	NOUN
ejpam-3261	235	11	with	with	ADP
ejpam-3261	235	12	contact	contact	NOUN
ejpam-3261	235	13	structure	structure	NOUN
ejpam-3261	235	14	,	,	PUNCT
ejpam-3261	235	15	hiroshima	hiroshima	PROPN
ejpam-3261	235	16	math.j.18	math.j.18	PROPN
ejpam-3261	235	17	,	,	PUNCT
ejpam-3261	235	18	493508	493508	NUM
ejpam-3261	235	19	,	,	PUNCT
ejpam-3261	235	20	1988	1988	NUM
ejpam-3261	235	21	.	.	PUNCT
ejpam-3261	236	1	[	[	X
ejpam-3261	236	2	8	8	NUM
ejpam-3261	236	3	]	]	X
ejpam-3261	236	4	b.	b.	PROPN
ejpam-3261	236	5	h.	h.	PROPN
ejpam-3261	236	6	kim	kim	PROPN
ejpam-3261	236	7	,	,	PUNCT
ejpam-3261	236	8	fibred	fibre	VERB
ejpam-3261	236	9	sasakian	sasakian	ADJ
ejpam-3261	236	10	spaces	space	NOUN
ejpam-3261	236	11	with	with	ADP
ejpam-3261	236	12	vanishing	vanish	VERB
ejpam-3261	236	13	contact	contact	NOUN
ejpam-3261	236	14	bochner	bochner	NOUN
ejpam-3261	236	15	curvature	curvature	PROPN
ejpam-3261	236	16	tensor	tensor	NOUN
ejpam-3261	236	17	,	,	PUNCT
ejpam-3261	236	18	ibid	ibid	NOUN
ejpam-3261	236	19	.	.	PUNCT
ejpam-3261	237	1	19	19	NUM
ejpam-3261	237	2	,	,	PUNCT
ejpam-3261	237	3	181195	181195	NUM
ejpam-3261	237	4	,	,	PUNCT
ejpam-3261	237	5	1989	1989	NUM
ejpam-3261	237	6	.	.	PUNCT
ejpam-3261	238	1	[	[	X
ejpam-3261	238	2	9	9	NUM
ejpam-3261	238	3	]	]	PUNCT
ejpam-3261	238	4	v.	v.	PROPN
ejpam-3261	238	5	f.	f.	PROPN
ejpam-3261	238	6	kirichenko	kirichenko	PROPN
ejpam-3261	238	7	,	,	PUNCT
ejpam-3261	238	8	the	the	DET
ejpam-3261	238	9	method	method	NOUN
ejpam-3261	238	10	of	of	ADP
ejpam-3261	238	11	generalization	generalization	NOUN
ejpam-3261	238	12	of	of	ADP
ejpam-3261	238	13	hermitian	hermitian	ADJ
ejpam-3261	238	14	geometry	geometry	NOUN
ejpam-3261	238	15	in	in	ADP
ejpam-3261	238	16	the	the	DET
ejpam-3261	238	17	almost	almost	ADV
ejpam-3261	238	18	hermitian	hermitian	ADJ
ejpam-3261	238	19	contact	contact	NOUN
ejpam-3261	238	20	manifold	manifold	NOUN
ejpam-3261	238	21	,	,	PUNCT
ejpam-3261	238	22	problems	problem	NOUN
ejpam-3261	238	23	of	of	ADP
ejpam-3261	238	24	geometry	geometry	NOUN
ejpam-3261	238	25	vinite	vinite	NOUN
ejpam-3261	238	26	anssr	anssr	PROPN
ejpam-3261	238	27	,	,	PUNCT
ejpam-3261	238	28	v.	v.	ADP
ejpam-3261	238	29	18	18	NUM
ejpam-3261	238	30	,	,	PUNCT
ejpam-3261	238	31	p.	p.	NOUN
ejpam-3261	238	32	25	25	NUM
ejpam-3261	238	33	-	-	SYM
ejpam-3261	238	34	71	71	NUM
ejpam-3261	238	35	,	,	PUNCT
ejpam-3261	238	36	1986	1986	NUM
ejpam-3261	238	37	.	.	PUNCT
ejpam-3261	239	1	[	[	X
ejpam-3261	239	2	10	10	NUM
ejpam-3261	239	3	]	]	X
ejpam-3261	239	4	v.	v.	PROPN
ejpam-3261	239	5	f.	f.	PROPN
ejpam-3261	239	6	kirichenko	kirichenko	PROPN
ejpam-3261	239	7	,	,	PUNCT
ejpam-3261	239	8	generalized	generalized	ADJ
ejpam-3261	239	9	quasi	quasi	ADJ
ejpam-3261	239	10	-	-	ADJ
ejpam-3261	239	11	kaehlerian	kaehlerian	ADJ
ejpam-3261	239	12	manifolds	manifold	NOUN
ejpam-3261	239	13	and	and	CCONJ
ejpam-3261	239	14	axioms	axiom	NOUN
ejpam-3261	239	15	of	of	ADP
ejpam-3261	239	16	crsubmanifolds	crsubmanifold	NOUN
ejpam-3261	239	17	in	in	ADP
ejpam-3261	239	18	generalized	generalized	ADJ
ejpam-3261	239	19	hermitian	hermitian	ADJ
ejpam-3261	239	20	geometry	geometry	NOUN
ejpam-3261	239	21	i	i	PROPN
ejpam-3261	239	22	,	,	PUNCT
ejpam-3261	239	23	geo	geo	PROPN
ejpam-3261	239	24	.	.	PROPN
ejpam-3261	239	25	dedicata	dedicata	PROPN
ejpam-3261	239	26	51	51	NUM
ejpam-3261	239	27	(	(	PUNCT
ejpam-3261	239	28	1	1	NUM
ejpam-3261	239	29	)	)	PUNCT
ejpam-3261	239	30	,	,	PUNCT
ejpam-3261	239	31	75	75	NUM
ejpam-3261	239	32	-	-	SYM
ejpam-3261	239	33	104	104	NUM
ejpam-3261	239	34	(	(	PUNCT
ejpam-3261	239	35	1994	1994	NUM
ejpam-3261	239	36	)	)	PUNCT
ejpam-3261	239	37	.	.	PUNCT
ejpam-3261	240	1	[	[	X
ejpam-3261	240	2	11	11	NUM
ejpam-3261	240	3	]	]	PUNCT
ejpam-3261	240	4	v.	v.	PROPN
ejpam-3261	240	5	f.	f.	PROPN
ejpam-3261	240	6	kirichenko	kirichenko	PROPN
ejpam-3261	240	7	and	and	CCONJ
ejpam-3261	240	8	a.	a.	PROPN
ejpam-3261	240	9	r.	r.	PROPN
ejpam-3261	240	10	rustanov	rustanov	PROPN
ejpam-3261	240	11	,	,	PUNCT
ejpam-3261	240	12	differential	differential	ADJ
ejpam-3261	240	13	geometry	geometry	NOUN
ejpam-3261	240	14	of	of	ADP
ejpam-3261	240	15	quasi	quasi	PROPN
ejpam-3261	240	16	sasakian	sasakian	PROPN
ejpam-3261	240	17	manifolds	manifold	NOUN
ejpam-3261	240	18	,	,	PUNCT
ejpam-3261	240	19	mathematical	mathematical	ADJ
ejpam-3261	240	20	collection	collection	NOUN
ejpam-3261	240	21	.	.	PUNCT
ejpam-3261	241	1	193(8	193(8	NUM
ejpam-3261	241	2	):	):	PUNCT
ejpam-3261	241	3	71	71	NUM
ejpam-3261	241	4	-	-	SYM
ejpam-3261	241	5	100	100	NUM
ejpam-3261	241	6	,	,	PUNCT
ejpam-3261	241	7	2002	2002	NUM
ejpam-3261	241	8	.	.	PUNCT
ejpam-3261	242	1	[	[	X
ejpam-3261	242	2	12	12	NUM
ejpam-3261	242	3	]	]	PUNCT
ejpam-3261	242	4	v.	v.	PROPN
ejpam-3261	242	5	f.	f.	PROPN
ejpam-3261	242	6	kirichenko	kirichenko	PROPN
ejpam-3261	242	7	and	and	CCONJ
ejpam-3261	242	8	s.	s.	PROPN
ejpam-3261	242	9	v.	v.	PROPN
ejpam-3261	242	10	kharitonova	kharitonova	PROPN
ejpam-3261	242	11	,	,	PUNCT
ejpam-3261	242	12	on	on	ADP
ejpam-3261	242	13	the	the	DET
ejpam-3261	242	14	geometry	geometry	NOUN
ejpam-3261	242	15	of	of	ADP
ejpam-3261	242	16	normal	normal	ADJ
ejpam-3261	242	17	locally	locally	ADV
ejpam-3261	242	18	conformal	conformal	ADJ
ejpam-3261	242	19	almost	almost	ADV
ejpam-3261	242	20	cosymplectic	cosymplectic	ADJ
ejpam-3261	242	21	manifolds	manifold	NOUN
ejpam-3261	242	22	,	,	PUNCT
ejpam-3261	242	23	matematicheskie	matematicheskie	NOUN
ejpam-3261	242	24	zametki	zametki	NOUN
ejpam-3261	242	25	,	,	PUNCT
ejpam-3261	242	26	vol	vol	NOUN
ejpam-3261	242	27	.	.	PROPN
ejpam-3261	242	28	91	91	NUM
ejpam-3261	242	29	,	,	PUNCT
ejpam-3261	242	30	no	no	INTJ
ejpam-3261	242	31	.	.	NOUN
ejpam-3261	242	32	1	1	NUM
ejpam-3261	242	33	,	,	PUNCT
ejpam-3261	242	34	pp	pp	ADJ
ejpam-3261	242	35	.	.	PUNCT
ejpam-3261	243	1	40	40	NUM
ejpam-3261	243	2	-	-	SYM
ejpam-3261	243	3	53	53	NUM
ejpam-3261	243	4	,	,	PUNCT
ejpam-3261	243	5	2012	2012	NUM
ejpam-3261	243	6	.	.	PUNCT
ejpam-3261	244	1	[	[	X
ejpam-3261	244	2	13	13	NUM
ejpam-3261	244	3	]	]	PUNCT
ejpam-3261	244	4	v.	v.	PROPN
ejpam-3261	244	5	f.	f.	PROPN
ejpam-3261	244	6	kirichenko	kirichenko	PROPN
ejpam-3261	244	7	,	,	PUNCT
ejpam-3261	244	8	differential	differential	ADJ
ejpam-3261	244	9	geometry	geometry	NOUN
ejpam-3261	244	10	structures	structure	NOUN
ejpam-3261	244	11	on	on	ADP
ejpam-3261	244	12	manifolds	manifold	NOUN
ejpam-3261	244	13	,	,	PUNCT
ejpam-3261	244	14	second	second	ADJ
ejpam-3261	244	15	edition	edition	NOUN
ejpam-3261	244	16	,	,	PUNCT
ejpam-3261	244	17	expanded	expand	VERB
ejpam-3261	244	18	.	.	PUNCT
ejpam-3261	245	1	odessa	odessa	ADJ
ejpam-3261	245	2	,	,	PUNCT
ejpam-3261	245	3	printing	printing	NOUN
ejpam-3261	245	4	house	house	NOUN
ejpam-3261	245	5	,	,	PUNCT
ejpam-3261	245	6	458	458	NUM
ejpam-3261	245	7	p.	p.	NOUN
ejpam-3261	245	8	,	,	PUNCT
ejpam-3261	245	9	2013	2013	NUM
ejpam-3261	245	10	.	.	PUNCT
ejpam-3261	246	1	[	[	X
ejpam-3261	246	2	14	14	NUM
ejpam-3261	246	3	]	]	PUNCT
ejpam-3261	246	4	r.	r.	PROPN
ejpam-3261	246	5	k.	k.	PROPN
ejpam-3261	247	1	nagaich	nagaich	PROPN
ejpam-3261	247	2	,	,	PUNCT
ejpam-3261	247	3	constancy	constancy	NOUN
ejpam-3261	247	4	of	of	ADP
ejpam-3261	247	5	holomorphic	holomorphic	ADJ
ejpam-3261	247	6	sectional	sectional	ADJ
ejpam-3261	247	7	curvature	curvature	NOUN
ejpam-3261	247	8	in	in	ADP
ejpam-3261	247	9	indefinite	indefinite	ADJ
ejpam-3261	247	10	almost	almost	ADV
ejpam-3261	247	11	hermitian	hermitian	ADJ
ejpam-3261	247	12	manifolds	manifold	NOUN
ejpam-3261	247	13	,	,	PUNCT
ejpam-3261	247	14	kodaimath.j.16	kodaimath.j.16	PROPN
ejpam-3261	247	15	,	,	PUNCT
ejpam-3261	247	16	327	327	NUM
ejpam-3261	247	17	,	,	PUNCT
ejpam-3261	247	18	1993	1993	NUM
ejpam-3261	247	19	.	.	PUNCT
ejpam-3261	248	1	[	[	X
ejpam-3261	248	2	15	15	NUM
ejpam-3261	248	3	]	]	X
ejpam-3261	248	4	z.	z.	PROPN
ejpam-3261	248	5	olszak	olszak	PROPN
ejpam-3261	248	6	,	,	PUNCT
ejpam-3261	248	7	locally	locally	ADV
ejpam-3261	248	8	conformal	conformal	ADJ
ejpam-3261	248	9	almost	almost	ADV
ejpam-3261	248	10	cosymplectic	cosymplectic	ADJ
ejpam-3261	248	11	manifolds	manifold	NOUN
ejpam-3261	248	12	,	,	PUNCT
ejpam-3261	248	13	collq	collq	NOUN
ejpam-3261	248	14	.	.	PUNCT
ejpam-3261	248	15	math	math	NOUN
ejpam-3261	248	16	.	.	PUNCT
ejpam-3261	249	1	57(1	57(1	NUM
ejpam-3261	249	2	)	)	PUNCT
ejpam-3261	249	3	,	,	PUNCT
ejpam-3261	249	4	7387	7387	NUM
ejpam-3261	249	5	,	,	PUNCT
ejpam-3261	249	6	1989	1989	NUM
ejpam-3261	249	7	.	.	PUNCT
ejpam-3261	250	1	references	reference	NOUN
ejpam-3261	250	2	681	681	NUM
ejpam-3261	251	1	[	[	X
ejpam-3261	251	2	16	16	NUM
ejpam-3261	251	3	]	]	PUNCT
ejpam-3261	251	4	a.	a.	NOUN
ejpam-3261	251	5	z.	z.	PROPN
ejpam-3261	251	6	petrov	petrov	PROPN
ejpam-3261	251	7	,	,	PUNCT
ejpam-3261	251	8	einstein	einstein	PROPN
ejpam-3261	251	9	space	space	NOUN
ejpam-3261	251	10	,	,	PUNCT
ejpam-3261	251	11	phys	phy	NOUN
ejpam-3261	251	12	-	-	PUNCT
ejpam-3261	251	13	math	math	NOUN
ejpam-3261	251	14	.	.	PUNCT
ejpam-3261	251	15	letr	letr	PROPN
ejpam-3261	251	16	.	.	PUNCT
ejpam-3261	252	1	moscow	moscow	PROPN
ejpam-3261	252	2	,	,	PUNCT
ejpam-3261	252	3	p.	p.	NOUN
ejpam-3261	252	4	463	463	NUM
ejpam-3261	252	5	,	,	PUNCT
ejpam-3261	252	6	1961	1961	NUM
ejpam-3261	252	7	.	.	PUNCT
ejpam-3261	253	1	[	[	X
ejpam-3261	253	2	17	17	NUM
ejpam-3261	253	3	]	]	X
ejpam-3261	253	4	r.	r.	PROPN
ejpam-3261	253	5	rani	rani	PROPN
ejpam-3261	253	6	,	,	PUNCT
ejpam-3261	253	7	r.	r.	PROPN
ejpam-3261	253	8	kumar	kumar	PROPN
ejpam-3261	253	9	and	and	CCONJ
ejpam-3261	253	10	r.	r.	PROPN
ejpam-3261	253	11	k.	k.	PROPN
ejpam-3261	254	1	nagaich	nagaich	PROPN
ejpam-3261	254	2	,	,	PUNCT
ejpam-3261	254	3	constancy	constancy	NOUN
ejpam-3261	254	4	of	of	ADP
ejpam-3261	254	5	φ	φ	PROPN
ejpam-3261	254	6	-	-	PUNCT
ejpam-3261	254	7	holomorphic	holomorphic	ADJ
ejpam-3261	254	8	sectional	sectional	ADJ
ejpam-3261	254	9	curvature	curvature	NOUN
ejpam-3261	254	10	of	of	ADP
ejpam-3261	254	11	(	(	PUNCT
ejpam-3261	254	12	ε)-sasakian	ε)-sasakian	ADJ
ejpam-3261	254	13	manifolds	manifold	NOUN
ejpam-3261	254	14	,	,	PUNCT
ejpam-3261	254	15	issn	issn	PROPN
ejpam-3261	254	16	1995	1995	NUM
ejpam-3261	254	17	-	-	SYM
ejpam-3261	254	18	0802	0802	NUM
ejpam-3261	254	19	,	,	PUNCT
ejpam-3261	254	20	lobachevskii	lobachevskii	ADJ
ejpam-3261	254	21	journal	journal	NOUN
ejpam-3261	254	22	of	of	ADP
ejpam-3261	254	23	mathematics	mathematic	NOUN
ejpam-3261	254	24	,	,	PUNCT
ejpam-3261	254	25	vol.30	vol.30	NOUN
ejpam-3261	254	26	,	,	PUNCT
ejpam-3261	254	27	no.1	no.1	PROPN
ejpam-3261	254	28	,	,	PUNCT
ejpam-3261	254	29	pp.7680	pp.7680	PROPN
ejpam-3261	254	30	,	,	PUNCT
ejpam-3261	254	31	2009	2009	NUM
ejpam-3261	254	32	.	.	PUNCT
ejpam-3261	255	1	[	[	X
ejpam-3261	255	2	18	18	NUM
ejpam-3261	255	3	]	]	PUNCT
ejpam-3261	255	4	k.	k.	PROPN
ejpam-3261	255	5	takano	takano	PROPN
ejpam-3261	255	6	,	,	PUNCT
ejpam-3261	255	7	on	on	ADP
ejpam-3261	255	8	fibred	fibre	VERB
ejpam-3261	255	9	sasakian	sasakian	ADJ
ejpam-3261	255	10	space	space	NOUN
ejpam-3261	255	11	with	with	ADP
ejpam-3261	255	12	vanishing	vanish	VERB
ejpam-3261	255	13	contact	contact	NOUN
ejpam-3261	255	14	bochner	bochner	NOUN
ejpam-3261	255	15	curvature	curvature	PROPN
ejpam-3261	255	16	tensor	tensor	NOUN
ejpam-3261	255	17	,	,	PUNCT
ejpam-3261	255	18	colloquium	colloquium	NOUN
ejpam-3261	255	19	mathematicum	mathematicum	NOUN
ejpam-3261	255	20	,	,	PUNCT
ejpam-3261	255	21	vol	vol	NOUN
ejpam-3261	255	22	.	.	PUNCT
ejpam-3261	255	23	lxv	lxv	PROPN
ejpam-3261	255	24	,	,	PUNCT
ejpam-3261	255	25	fasc.2	fasc.2	NOUN
ejpam-3261	255	26	,	,	PUNCT
ejpam-3261	255	27	1993	1993	NUM
ejpam-3261	255	28	.	.	PUNCT
ejpam-3261	256	1	[	[	X
ejpam-3261	256	2	19	19	NUM
ejpam-3261	256	3	]	]	X
ejpam-3261	256	4	s.	s.	PROPN
ejpam-3261	256	5	tanno	tanno	PROPN
ejpam-3261	256	6	,	,	PUNCT
ejpam-3261	256	7	constancy	constancy	NOUN
ejpam-3261	256	8	of	of	ADP
ejpam-3261	256	9	holomorphic	holomorphic	ADJ
ejpam-3261	256	10	sectional	sectional	ADJ
ejpam-3261	256	11	curvature	curvature	NOUN
ejpam-3261	256	12	in	in	ADP
ejpam-3261	256	13	almost	almost	ADV
ejpam-3261	256	14	hermitian	hermitian	ADJ
ejpam-3261	256	15	manifolds	manifold	NOUN
ejpam-3261	256	16	,	,	PUNCT
ejpam-3261	256	17	kodaimath	kodaimath	PROPN
ejpam-3261	256	18	.	.	PUNCT
ejpam-3261	257	1	sem	sem	PROPN
ejpam-3261	257	2	.	.	PUNCT
ejpam-3261	258	1	rep.25	rep.25	NOUN
ejpam-3261	258	2	,	,	PUNCT
ejpam-3261	258	3	190	190	NUM
ejpam-3261	258	4	,	,	PUNCT
ejpam-3261	258	5	1973	1973	NUM
ejpam-3261	258	6	.	.	PUNCT