id	sid	tid	token	lemma	pos
ejpam-914	1	1	17_914_de.dvi	17_914_de.dvi	NUM
ejpam-914	1	2	european	european	ADJ
ejpam-914	1	3	journal	journal	PROPN
ejpam-914	1	4	of	of	ADP
ejpam-914	1	5	pure	pure	ADJ
ejpam-914	1	6	and	and	CCONJ
ejpam-914	1	7	applied	apply	VERB
ejpam-914	1	8	mathematics	mathematic	NOUN
ejpam-914	1	9	vol	vol	NOUN
ejpam-914	1	10	.	.	PUNCT
ejpam-914	2	1	3	3	NUM
ejpam-914	2	2	,	,	PUNCT
ejpam-914	2	3	no	no	INTJ
ejpam-914	2	4	.	.	NOUN
ejpam-914	2	5	6	6	NUM
ejpam-914	2	6	,	,	PUNCT
ejpam-914	2	7	2010	2010	NUM
ejpam-914	2	8	,	,	PUNCT
ejpam-914	2	9	1137	1137	NUM
ejpam-914	2	10	-	-	SYM
ejpam-914	2	11	1140	1140	NUM
ejpam-914	2	12	issn	issn	PROPN
ejpam-914	2	13	1307	1307	NUM
ejpam-914	2	14	-	-	SYM
ejpam-914	2	15	5543	5543	NUM
ejpam-914	2	16	–	–	PUNCT
ejpam-914	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-914	2	18	special	special	ADJ
ejpam-914	2	19	issue	issue	NOUN
ejpam-914	2	20	on	on	ADP
ejpam-914	2	21	complex	complex	ADJ
ejpam-914	2	22	analysis	analysis	NOUN
ejpam-914	2	23	:	:	PUNCT
ejpam-914	2	24	theory	theory	NOUN
ejpam-914	2	25	and	and	CCONJ
ejpam-914	2	26	applications	application	NOUN
ejpam-914	2	27	dedicated	dedicate	VERB
ejpam-914	2	28	to	to	ADP
ejpam-914	2	29	professor	professor	PROPN
ejpam-914	2	30	hari	hari	PROPN
ejpam-914	2	31	m.	m.	PROPN
ejpam-914	2	32	srivastava	srivastava	PROPN
ejpam-914	2	33	,	,	PUNCT
ejpam-914	2	34	on	on	ADP
ejpam-914	2	35	the	the	DET
ejpam-914	2	36	occasion	occasion	NOUN
ejpam-914	2	37	of	of	ADP
ejpam-914	2	38	his	his	PRON
ejpam-914	2	39	70th	70th	ADJ
ejpam-914	2	40	birthday	birthday	NOUN
ejpam-914	2	41	a	a	DET
ejpam-914	2	42	note	note	NOUN
ejpam-914	2	43	on	on	ADP
ejpam-914	2	44	kaehler	kaehler	NOUN
ejpam-914	2	45	manifolds	manifold	VERB
ejpam-914	2	46	uday	uday	PROPN
ejpam-914	2	47	chand	chand	PROPN
ejpam-914	2	48	de	de	PROPN
ejpam-914	2	49	department	department	PROPN
ejpam-914	2	50	of	of	ADP
ejpam-914	2	51	pure	pure	ADJ
ejpam-914	2	52	mathematics	mathematic	NOUN
ejpam-914	2	53	,	,	PUNCT
ejpam-914	2	54	university	university	NOUN
ejpam-914	2	55	of	of	ADP
ejpam-914	2	56	calcutta	calcutta	PROPN
ejpam-914	2	57	,	,	PUNCT
ejpam-914	2	58	35	35	NUM
ejpam-914	2	59	,	,	PUNCT
ejpam-914	2	60	ballygunje	ballygunje	NOUN
ejpam-914	2	61	circular	circular	ADJ
ejpam-914	2	62	road	road	NOUN
ejpam-914	2	63	,	,	PUNCT
ejpam-914	2	64	kolkata	kolkata	PROPN
ejpam-914	2	65	700019	700019	NUM
ejpam-914	2	66	,	,	PUNCT
ejpam-914	2	67	west	west	PROPN
ejpam-914	2	68	bengal	bengal	PROPN
ejpam-914	2	69	,	,	PUNCT
ejpam-914	2	70	india	india	PROPN
ejpam-914	2	71	abstract	abstract	NOUN
ejpam-914	2	72	.	.	PUNCT
ejpam-914	3	1	the	the	DET
ejpam-914	3	2	object	object	NOUN
ejpam-914	3	3	of	of	ADP
ejpam-914	3	4	the	the	DET
ejpam-914	3	5	present	present	ADJ
ejpam-914	3	6	paper	paper	NOUN
ejpam-914	3	7	is	be	AUX
ejpam-914	3	8	to	to	PART
ejpam-914	3	9	prove	prove	VERB
ejpam-914	3	10	that	that	SCONJ
ejpam-914	3	11	in	in	ADP
ejpam-914	3	12	a	a	DET
ejpam-914	3	13	kaehler	kaehler	NOUN
ejpam-914	3	14	manifold	manifold	NOUN
ejpam-914	3	15	of	of	ADP
ejpam-914	3	16	dimension	dimension	NOUN
ejpam-914	3	17	n≥	n≥	PROPN
ejpam-914	3	18	4	4	NUM
ejpam-914	3	19	,	,	PUNCT
ejpam-914	3	20	div	div	X
ejpam-914	3	21	r	r	NOUN
ejpam-914	3	22	=	=	PUNCT
ejpam-914	3	23	0	0	NUM
ejpam-914	3	24	and	and	CCONJ
ejpam-914	3	25	div	div	PROPN
ejpam-914	3	26	c	c	NOUN
ejpam-914	3	27	=	=	SYM
ejpam-914	3	28	0	0	NUM
ejpam-914	3	29	are	be	AUX
ejpam-914	3	30	equivalent	equivalent	ADJ
ejpam-914	3	31	,	,	PUNCT
ejpam-914	3	32	where	where	SCONJ
ejpam-914	3	33	’	'	PUNCT
ejpam-914	3	34	div	div	PROPN
ejpam-914	3	35	’	'	PUNCT
ejpam-914	3	36	denotes	denote	NOUN
ejpam-914	3	37	divergence	divergence	NOUN
ejpam-914	3	38	and	and	CCONJ
ejpam-914	3	39	r	r	NOUN
ejpam-914	3	40	and	and	CCONJ
ejpam-914	3	41	c	c	PROPN
ejpam-914	3	42	denote	denote	VERB
ejpam-914	3	43	the	the	DET
ejpam-914	3	44	curvature	curvature	NOUN
ejpam-914	3	45	tensor	tensor	NOUN
ejpam-914	3	46	and	and	CCONJ
ejpam-914	3	47	weyl	weyl	VERB
ejpam-914	3	48	conformal	conformal	NOUN
ejpam-914	3	49	curvature	curvature	NOUN
ejpam-914	3	50	tensor	tensor	NOUN
ejpam-914	3	51	,	,	PUNCT
ejpam-914	3	52	respectively	respectively	ADV
ejpam-914	3	53	.	.	PUNCT
ejpam-914	4	1	2000	2000	NUM
ejpam-914	4	2	mathematics	mathematic	NOUN
ejpam-914	4	3	subject	subject	NOUN
ejpam-914	4	4	classifications	classification	NOUN
ejpam-914	4	5	:	:	PUNCT
ejpam-914	4	6	53c25	53c25	NUM
ejpam-914	4	7	.	.	PUNCT
ejpam-914	5	1	key	key	ADJ
ejpam-914	5	2	words	word	NOUN
ejpam-914	5	3	and	and	CCONJ
ejpam-914	5	4	phrases	phrase	NOUN
ejpam-914	5	5	:	:	PUNCT
ejpam-914	5	6	kaehler	kaehler	NOUN
ejpam-914	5	7	manifold	manifold	ADJ
ejpam-914	5	8	,	,	PUNCT
ejpam-914	5	9	divergence	divergence	NOUN
ejpam-914	5	10	,	,	PUNCT
ejpam-914	5	11	weyl	weyl	VERB
ejpam-914	5	12	conformal	conformal	ADJ
ejpam-914	5	13	curvature	curvature	NOUN
ejpam-914	5	14	tensor	tensor	NOUN
ejpam-914	5	15	.	.	PUNCT
ejpam-914	6	1	1	1	X
ejpam-914	6	2	.	.	X
ejpam-914	6	3	introduction	introduction	NOUN
ejpam-914	6	4	let	let	VERB
ejpam-914	6	5	m	m	PRON
ejpam-914	6	6	be	be	AUX
ejpam-914	6	7	an	an	DET
ejpam-914	6	8	n	n	CCONJ
ejpam-914	6	9	-	-	PUNCT
ejpam-914	6	10	dimensional	dimensional	ADJ
ejpam-914	6	11	kaehler	kaehler	NOUN
ejpam-914	6	12	manifold	manifold	NOUN
ejpam-914	6	13	.	.	PUNCT
ejpam-914	7	1	then	then	ADV
ejpam-914	7	2	the	the	DET
ejpam-914	7	3	kaehler	kaehler	NOUN
ejpam-914	7	4	metric	metric	ADJ
ejpam-914	7	5	g	g	PROPN
ejpam-914	7	6	of	of	ADP
ejpam-914	7	7	m	m	PROPN
ejpam-914	7	8	satisfies	satisfie	NOUN
ejpam-914	7	9	g(jx	g(jx	PROPN
ejpam-914	7	10	,	,	PUNCT
ejpam-914	7	11	jy	jy	PROPN
ejpam-914	7	12	)	)	PUNCT
ejpam-914	8	1	=	=	PUNCT
ejpam-914	8	2	g(x	g(x	PROPN
ejpam-914	8	3	,	,	PUNCT
ejpam-914	8	4	y	y	PROPN
ejpam-914	8	5	)	)	PUNCT
ejpam-914	8	6	and	and	CCONJ
ejpam-914	8	7	∇j	∇j	PROPN
ejpam-914	8	8	=	=	SYM
ejpam-914	8	9	0	0	NUM
ejpam-914	8	10	,	,	PUNCT
ejpam-914	8	11	where	where	SCONJ
ejpam-914	8	12	j	j	PROPN
ejpam-914	8	13	and	and	CCONJ
ejpam-914	8	14	∇	∇	PROPN
ejpam-914	8	15	denote	denote	VERB
ejpam-914	8	16	the	the	DET
ejpam-914	8	17	complex	complex	ADJ
ejpam-914	8	18	structure	structure	NOUN
ejpam-914	8	19	and	and	CCONJ
ejpam-914	8	20	the	the	DET
ejpam-914	8	21	covariant	covariant	ADJ
ejpam-914	8	22	differentiation	differentiation	NOUN
ejpam-914	8	23	of	of	ADP
ejpam-914	8	24	m	m	PRON
ejpam-914	8	25	,	,	PUNCT
ejpam-914	8	26	respectively	respectively	ADV
ejpam-914	8	27	.	.	PUNCT
ejpam-914	9	1	let	let	VERB
ejpam-914	9	2	r	r	NOUN
ejpam-914	9	3	,	,	PUNCT
ejpam-914	9	4	s	s	PART
ejpam-914	9	5	and	and	CCONJ
ejpam-914	9	6	c	c	PROPN
ejpam-914	9	7	denote	denote	VERB
ejpam-914	9	8	the	the	DET
ejpam-914	9	9	curvature	curvature	NOUN
ejpam-914	9	10	tensor	tensor	NOUN
ejpam-914	9	11	,	,	PUNCT
ejpam-914	9	12	ricci	ricci	PROPN
ejpam-914	9	13	tensor	tensor	NOUN
ejpam-914	9	14	and	and	CCONJ
ejpam-914	9	15	weyl	weyl	VERB
ejpam-914	9	16	conformal	conformal	NOUN
ejpam-914	9	17	curvature	curvature	NOUN
ejpam-914	9	18	tensor	tensor	NOUN
ejpam-914	9	19	of	of	ADP
ejpam-914	9	20	m	m	PROPN
ejpam-914	9	21	,	,	PUNCT
ejpam-914	9	22	respectively	respectively	ADV
ejpam-914	9	23	.	.	PUNCT
ejpam-914	10	1	it	it	PRON
ejpam-914	10	2	is	be	AUX
ejpam-914	10	3	well	well	ADV
ejpam-914	10	4	known	know	VERB
ejpam-914	10	5	that	that	SCONJ
ejpam-914	10	6	a	a	DET
ejpam-914	10	7	kaehler	kaehler	NOUN
ejpam-914	10	8	manifold	manifold	ADJ
ejpam-914	10	9	with	with	ADP
ejpam-914	10	10	parallel	parallel	ADJ
ejpam-914	10	11	ricci	ricci	PROPN
ejpam-914	10	12	tensor	tensor	NOUN
ejpam-914	10	13	is	be	AUX
ejpam-914	10	14	einstein	einstein	ADJ
ejpam-914	10	15	if	if	SCONJ
ejpam-914	10	16	m	m	NOUN
ejpam-914	10	17	is	be	AUX
ejpam-914	10	18	irreducible	irreducible	ADJ
ejpam-914	10	19	.	.	PUNCT
ejpam-914	11	1	in	in	ADP
ejpam-914	11	2	a	a	DET
ejpam-914	11	3	riemannian	riemannian	ADJ
ejpam-914	11	4	manifold	manifold	NOUN
ejpam-914	11	5	it	it	PRON
ejpam-914	11	6	can	can	AUX
ejpam-914	11	7	be	be	AUX
ejpam-914	11	8	easily	easily	ADV
ejpam-914	11	9	verified	verify	VERB
ejpam-914	11	10	from	from	ADP
ejpam-914	11	11	the	the	DET
ejpam-914	11	12	differential	differential	ADJ
ejpam-914	11	13	bianchi	bianchi	NOUN
ejpam-914	11	14	identity	identity	NOUN
ejpam-914	11	15	that	that	PRON
ejpam-914	11	16	div	div	PROPN
ejpam-914	11	17	r	r	NOUN
ejpam-914	11	18	=	=	SYM
ejpam-914	11	19	0	0	NUM
ejpam-914	11	20	holds	hold	VERB
ejpam-914	11	21	if	if	SCONJ
ejpam-914	11	22	and	and	CCONJ
ejpam-914	11	23	only	only	ADV
ejpam-914	11	24	if	if	SCONJ
ejpam-914	11	25	(	(	PUNCT
ejpam-914	11	26	∇x	∇x	NOUN
ejpam-914	11	27	s)(y	s)(y	ADJ
ejpam-914	11	28	,	,	PUNCT
ejpam-914	11	29	z	z	NOUN
ejpam-914	11	30	)	)	PUNCT
ejpam-914	11	31	=	=	SYM
ejpam-914	11	32	(	(	PUNCT
ejpam-914	11	33	∇y	∇y	PROPN
ejpam-914	11	34	s)(x	s)(x	PROPN
ejpam-914	11	35	,	,	PUNCT
ejpam-914	11	36	z	z	NOUN
ejpam-914	11	37	)	)	PUNCT
ejpam-914	11	38	,	,	PUNCT
ejpam-914	11	39	where	where	SCONJ
ejpam-914	11	40	’	'	PUNCT
ejpam-914	11	41	div	div	PROPN
ejpam-914	11	42	’	'	PUNCT
ejpam-914	11	43	denotes	denote	NOUN
ejpam-914	11	44	divergence	divergence	NOUN
ejpam-914	11	45	.	.	PUNCT
ejpam-914	12	1	it	it	PRON
ejpam-914	12	2	is	be	AUX
ejpam-914	12	3	well	well	ADV
ejpam-914	12	4	known	known	ADJ
ejpam-914	12	5	[	[	X
ejpam-914	12	6	1	1	NUM
ejpam-914	12	7	]	]	PUNCT
ejpam-914	12	8	that	that	SCONJ
ejpam-914	12	9	if	if	SCONJ
ejpam-914	12	10	the	the	DET
ejpam-914	12	11	ricci	ricci	PROPN
ejpam-914	12	12	tensor	tensor	NOUN
ejpam-914	12	13	s	s	PART
ejpam-914	12	14	satisfies	satisfie	NOUN
ejpam-914	12	15	(	(	PUNCT
ejpam-914	12	16	∇x	∇x	NOUN
ejpam-914	12	17	s)(y	s)(y	ADJ
ejpam-914	12	18	,	,	PUNCT
ejpam-914	12	19	z	z	NOUN
ejpam-914	12	20	)	)	PUNCT
ejpam-914	12	21	=	=	SYM
ejpam-914	12	22	(	(	PUNCT
ejpam-914	12	23	∇y	∇y	PROPN
ejpam-914	12	24	s)(x	s)(x	PROPN
ejpam-914	12	25	,	,	PUNCT
ejpam-914	12	26	z	z	NOUN
ejpam-914	12	27	)	)	PUNCT
ejpam-914	12	28	in	in	ADP
ejpam-914	12	29	a	a	DET
ejpam-914	12	30	kaehler	kaehler	NOUN
ejpam-914	12	31	manifold	manifold	NOUN
ejpam-914	12	32	,	,	PUNCT
ejpam-914	12	33	then	then	ADV
ejpam-914	12	34	the	the	DET
ejpam-914	12	35	ricci	ricci	PROPN
ejpam-914	12	36	tensor	tensor	NOUN
ejpam-914	12	37	is	be	AUX
ejpam-914	12	38	parallel	parallel	ADJ
ejpam-914	12	39	.	.	PUNCT
ejpam-914	13	1	in	in	ADP
ejpam-914	13	2	a	a	DET
ejpam-914	13	3	riemannian	riemannian	ADJ
ejpam-914	13	4	manifold	manifold	NOUN
ejpam-914	13	5	it	it	PRON
ejpam-914	13	6	is	be	AUX
ejpam-914	13	7	also	also	ADV
ejpam-914	13	8	known	know	VERB
ejpam-914	13	9	[	[	X
ejpam-914	13	10	1	1	NUM
ejpam-914	13	11	]	]	PUNCT
ejpam-914	13	12	that	that	SCONJ
ejpam-914	13	13	the	the	DET
ejpam-914	13	14	statements	statement	NOUN
ejpam-914	13	15	(	(	PUNCT
ejpam-914	13	16	i	i	NOUN
ejpam-914	13	17	)	)	PUNCT
ejpam-914	13	18	div	div	X
ejpam-914	13	19	r	r	NOUN
ejpam-914	13	20	=	=	SYM
ejpam-914	13	21	0	0	NUM
ejpam-914	13	22	,	,	PUNCT
ejpam-914	13	23	(	(	PUNCT
ejpam-914	13	24	ii	ii	NOUN
ejpam-914	13	25	)	)	PUNCT
ejpam-914	13	26	div	div	X
ejpam-914	13	27	c	c	NOUN
ejpam-914	13	28	=	=	SYM
ejpam-914	13	29	0	0	PROPN
ejpam-914	13	30	and	and	CCONJ
ejpam-914	13	31	the	the	DET
ejpam-914	13	32	scalar	scalar	ADJ
ejpam-914	13	33	curvature	curvature	NOUN
ejpam-914	13	34	is	be	AUX
ejpam-914	13	35	constant	constant	ADJ
ejpam-914	13	36	are	be	AUX
ejpam-914	13	37	equivalent	equivalent	ADJ
ejpam-914	13	38	.	.	PUNCT
ejpam-914	14	1	in	in	ADP
ejpam-914	14	2	the	the	DET
ejpam-914	14	3	present	present	ADJ
ejpam-914	14	4	paper	paper	NOUN
ejpam-914	14	5	we	we	PRON
ejpam-914	14	6	prove	prove	VERB
ejpam-914	14	7	that	that	SCONJ
ejpam-914	14	8	in	in	ADP
ejpam-914	14	9	a	a	DET
ejpam-914	14	10	kaehler	kaehler	NOUN
ejpam-914	14	11	manifold	manifold	NOUN
ejpam-914	14	12	of	of	ADP
ejpam-914	14	13	dimension	dimension	NOUN
ejpam-914	14	14	n	n	CCONJ
ejpam-914	14	15	≥	≥	NUM
ejpam-914	14	16	4	4	NUM
ejpam-914	14	17	,	,	PUNCT
ejpam-914	14	18	div	div	X
ejpam-914	14	19	r=	r=	ADJ
ejpam-914	14	20	0	0	NUM
ejpam-914	14	21	and	and	CCONJ
ejpam-914	14	22	div	div	PROPN
ejpam-914	14	23	c=	c=	NOUN
ejpam-914	14	24	0	0	NUM
ejpam-914	14	25	are	be	AUX
ejpam-914	14	26	equivalent	equivalent	ADJ
ejpam-914	14	27	.	.	PUNCT
ejpam-914	15	1	email	email	NOUN
ejpam-914	15	2	address	address	NOUN
ejpam-914	15	3	:	:	PUNCT
ejpam-914	15	4	u	u	PROPN
ejpam-914	15	5	_	_	PROPN
ejpam-914	15	6	de	de	PROPN
ejpam-914	15	7	�	�	PROPN
ejpam-914	15	8	yahoo	yahoo	PROPN
ejpam-914	15	9	.	.	PUNCT
ejpam-914	16	1	om	om	PROPN
ejpam-914	16	2	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-914	16	3	1137	1137	NUM
ejpam-914	17	1	c	c	X
ejpam-914	17	2	©	©	PROPN
ejpam-914	17	3	2010	2010	NUM
ejpam-914	17	4	ejpam	ejpam	NOUN
ejpam-914	17	5	all	all	DET
ejpam-914	17	6	rights	right	NOUN
ejpam-914	17	7	reserved	reserve	VERB
ejpam-914	17	8	.	.	PUNCT
ejpam-914	18	1	u.	u.	PROPN
ejpam-914	18	2	de	de	PROPN
ejpam-914	18	3	/	/	SYM
ejpam-914	18	4	eur	eur	PROPN
ejpam-914	18	5	.	.	PUNCT
ejpam-914	19	1	j.	j.	PROPN
ejpam-914	19	2	pure	pure	PROPN
ejpam-914	19	3	appl	appl	PROPN
ejpam-914	19	4	.	.	PROPN
ejpam-914	19	5	math	math	PROPN
ejpam-914	19	6	,	,	PUNCT
ejpam-914	19	7	3	3	NUM
ejpam-914	19	8	(	(	PUNCT
ejpam-914	19	9	2010	2010	NUM
ejpam-914	19	10	)	)	PUNCT
ejpam-914	19	11	,	,	PUNCT
ejpam-914	19	12	1137	1137	NUM
ejpam-914	19	13	-	-	SYM
ejpam-914	19	14	1140	1140	NUM
ejpam-914	19	15	1138	1138	NUM
ejpam-914	19	16	2	2	NUM
ejpam-914	19	17	.	.	PUNCT
ejpam-914	19	18	preliminaries	preliminary	NOUN
ejpam-914	19	19	in	in	ADP
ejpam-914	19	20	a	a	DET
ejpam-914	19	21	riemannian	riemannian	ADJ
ejpam-914	19	22	manifold	manifold	ADJ
ejpam-914	19	23	weyl	weyl	VERB
ejpam-914	19	24	conformal	conformal	NOUN
ejpam-914	19	25	curvature	curvature	NOUN
ejpam-914	19	26	tensor	tensor	NOUN
ejpam-914	19	27	c	c	NOUN
ejpam-914	19	28	is	be	AUX
ejpam-914	19	29	defined	define	VERB
ejpam-914	19	30	by	by	ADP
ejpam-914	19	31	c(x	c(x	NOUN
ejpam-914	19	32	,	,	PUNCT
ejpam-914	19	33	y	y	PROPN
ejpam-914	19	34	)	)	PUNCT
ejpam-914	19	35	z	z	PROPN
ejpam-914	20	1	=	=	SYM
ejpam-914	20	2	r(x	r(x	PROPN
ejpam-914	20	3	,	,	PUNCT
ejpam-914	20	4	y	y	PROPN
ejpam-914	20	5	)	)	PUNCT
ejpam-914	20	6	z	z	NOUN
ejpam-914	21	1	−	−	NUM
ejpam-914	21	2	1	1	NUM
ejpam-914	21	3	n−	n−	NOUN
ejpam-914	21	4	2	2	NUM
ejpam-914	21	5	[	[	X
ejpam-914	21	6	g(y	g(y	X
ejpam-914	21	7	,	,	PUNCT
ejpam-914	21	8	z)qx	z)qx	PROPN
ejpam-914	21	9	−	−	NOUN
ejpam-914	21	10	g(x	g(x	NOUN
ejpam-914	21	11	,	,	PUNCT
ejpam-914	21	12	z)qy	z)qy	PROPN
ejpam-914	21	13	+	+	CCONJ
ejpam-914	21	14	s(y	s(y	PROPN
ejpam-914	21	15	,	,	PUNCT
ejpam-914	21	16	z)x	z)x	PUNCT
ejpam-914	21	17	−	−	PROPN
ejpam-914	21	18	s(x	s(x	NOUN
ejpam-914	21	19	,	,	PUNCT
ejpam-914	21	20	z)y	z)y	X
ejpam-914	21	21	]	]	PUNCT
ejpam-914	22	1	+	+	CCONJ
ejpam-914	22	2	r	r	NOUN
ejpam-914	22	3	(	(	PUNCT
ejpam-914	22	4	n−	n−	NOUN
ejpam-914	22	5	1)(n−	1)(n−	PROPN
ejpam-914	22	6	2	2	NUM
ejpam-914	22	7	)	)	PUNCT
ejpam-914	23	1	[	[	X
ejpam-914	23	2	g(y	g(y	NOUN
ejpam-914	23	3	,	,	PUNCT
ejpam-914	23	4	z)x	z)x	PUNCT
ejpam-914	23	5	−	−	PROPN
ejpam-914	23	6	g(x	g(x	PROPN
ejpam-914	23	7	,	,	PUNCT
ejpam-914	23	8	z)y	z)y	PROPN
ejpam-914	23	9	]	]	PUNCT
ejpam-914	23	10	,	,	PUNCT
ejpam-914	23	11	(	(	PUNCT
ejpam-914	23	12	1	1	X
ejpam-914	23	13	)	)	PUNCT
ejpam-914	23	14	where	where	SCONJ
ejpam-914	23	15	q	q	NOUN
ejpam-914	23	16	is	be	AUX
ejpam-914	23	17	the	the	DET
ejpam-914	23	18	ricci	ricci	NOUN
ejpam-914	23	19	operator	operator	NOUN
ejpam-914	23	20	defined	define	VERB
ejpam-914	23	21	by	by	ADP
ejpam-914	23	22	g(qx	g(qx	PROPN
ejpam-914	23	23	,	,	PUNCT
ejpam-914	23	24	y	y	PROPN
ejpam-914	23	25	)	)	PUNCT
ejpam-914	23	26	=	=	SYM
ejpam-914	24	1	s(x	s(x	NOUN
ejpam-914	24	2	,	,	PUNCT
ejpam-914	24	3	y	y	PROPN
ejpam-914	24	4	)	)	PUNCT
ejpam-914	24	5	and	and	CCONJ
ejpam-914	24	6	r	r	NOUN
ejpam-914	24	7	denotes	denote	VERB
ejpam-914	24	8	the	the	DET
ejpam-914	24	9	scalar	scalar	ADJ
ejpam-914	24	10	curvature	curvature	NOUN
ejpam-914	24	11	.	.	PUNCT
ejpam-914	25	1	it	it	PRON
ejpam-914	25	2	is	be	AUX
ejpam-914	25	3	well	well	ADV
ejpam-914	25	4	known	known	ADJ
ejpam-914	25	5	[	[	X
ejpam-914	25	6	3	3	NUM
ejpam-914	25	7	]	]	PUNCT
ejpam-914	25	8	that	that	SCONJ
ejpam-914	25	9	in	in	ADP
ejpam-914	25	10	a	a	DET
ejpam-914	25	11	riemannian	riemannian	ADJ
ejpam-914	25	12	manifold	manifold	NOUN
ejpam-914	25	13	of	of	ADP
ejpam-914	25	14	dimension	dimension	NOUN
ejpam-914	25	15	n	n	CCONJ
ejpam-914	25	16	>	>	X
ejpam-914	25	17	3	3	NUM
ejpam-914	25	18	,	,	PUNCT
ejpam-914	25	19	(	(	PUNCT
ejpam-914	25	20	divc)(x	divc)(x	PROPN
ejpam-914	25	21	,	,	PUNCT
ejpam-914	25	22	y	y	PROPN
ejpam-914	25	23	)	)	PUNCT
ejpam-914	25	24	z	z	NOUN
ejpam-914	26	1	=	=	PUNCT
ejpam-914	26	2	n−	n−	NOUN
ejpam-914	26	3	3	3	NUM
ejpam-914	26	4	n−	n−	NOUN
ejpam-914	26	5	2	2	NUM
ejpam-914	26	6	[	[	X
ejpam-914	26	7	{	{	PUNCT
ejpam-914	26	8	(	(	PUNCT
ejpam-914	26	9	∇x	∇x	NOUN
ejpam-914	26	10	s)(y	s)(y	ADJ
ejpam-914	26	11	,	,	PUNCT
ejpam-914	26	12	z)−	z)−	PROPN
ejpam-914	26	13	(	(	PUNCT
ejpam-914	26	14	∇y	∇y	PROPN
ejpam-914	26	15	s)(x	s)(x	PROPN
ejpam-914	26	16	,	,	PUNCT
ejpam-914	26	17	z	z	NOUN
ejpam-914	26	18	)	)	PUNCT
ejpam-914	26	19	}	}	PUNCT
ejpam-914	27	1	+	+	CCONJ
ejpam-914	27	2	1	1	NUM
ejpam-914	27	3	2(n−	2(n−	NUM
ejpam-914	27	4	1	1	NUM
ejpam-914	27	5	)	)	PUNCT
ejpam-914	27	6	{	{	PUNCT
ejpam-914	27	7	dr(x	dr(x	X
ejpam-914	27	8	)	)	PUNCT
ejpam-914	27	9	g(y	g(y	PROPN
ejpam-914	27	10	,	,	PUNCT
ejpam-914	27	11	z)−	z)−	PROPN
ejpam-914	27	12	dr(y	dr(y	VERB
ejpam-914	27	13	)	)	PUNCT
ejpam-914	27	14	g(x	g(x	NOUN
ejpam-914	27	15	,	,	PUNCT
ejpam-914	27	16	z	z	NOUN
ejpam-914	27	17	)	)	PUNCT
ejpam-914	27	18	}	}	PUNCT
ejpam-914	27	19	]	]	PUNCT
ejpam-914	27	20	.	.	PUNCT
ejpam-914	28	1	(	(	PUNCT
ejpam-914	28	2	2	2	X
ejpam-914	28	3	)	)	PUNCT
ejpam-914	28	4	in	in	ADP
ejpam-914	28	5	a	a	DET
ejpam-914	28	6	kaehler	kaehler	NOUN
ejpam-914	28	7	manifold	manifold	VERB
ejpam-914	28	8	the	the	DET
ejpam-914	28	9	following	follow	VERB
ejpam-914	28	10	relations	relation	NOUN
ejpam-914	28	11	hold	hold	VERB
ejpam-914	28	12	[	[	X
ejpam-914	28	13	5	5	NUM
ejpam-914	28	14	]	]	X
ejpam-914	28	15	:	:	PUNCT
ejpam-914	28	16	g(x	g(x	ADJ
ejpam-914	28	17	,	,	PUNCT
ejpam-914	28	18	jy	jy	PROPN
ejpam-914	28	19	)	)	PUNCT
ejpam-914	29	1	=	=	PRON
ejpam-914	29	2	−g(jx	−g(jx	NOUN
ejpam-914	29	3	,	,	PUNCT
ejpam-914	29	4	y	y	PROPN
ejpam-914	29	5	)	)	PUNCT
ejpam-914	29	6	,	,	PUNCT
ejpam-914	29	7	(	(	PUNCT
ejpam-914	29	8	3	3	X
ejpam-914	29	9	)	)	PUNCT
ejpam-914	29	10	s(x	s(x	NOUN
ejpam-914	29	11	,	,	PUNCT
ejpam-914	29	12	jy	jy	PROPN
ejpam-914	29	13	)	)	PUNCT
ejpam-914	29	14	=	=	SYM
ejpam-914	30	1	−s(jx	−s(jx	PROPN
ejpam-914	30	2	,	,	PUNCT
ejpam-914	30	3	y	y	PROPN
ejpam-914	30	4	)	)	PUNCT
ejpam-914	30	5	,	,	PUNCT
ejpam-914	30	6	(	(	PUNCT
ejpam-914	30	7	4	4	X
ejpam-914	30	8	)	)	PUNCT
ejpam-914	30	9	∇x	∇x	NOUN
ejpam-914	30	10	jy	jy	NOUN
ejpam-914	30	11	=	=	SYM
ejpam-914	30	12	j∇x	j∇x	PROPN
ejpam-914	30	13	y.	y.	PROPN
ejpam-914	30	14	(	(	PUNCT
ejpam-914	30	15	5	5	NUM
ejpam-914	30	16	)	)	PUNCT
ejpam-914	30	17	3	3	NUM
ejpam-914	30	18	.	.	X
ejpam-914	30	19	main	main	ADJ
ejpam-914	30	20	result	result	NOUN
ejpam-914	30	21	theorem	theorem	VERB
ejpam-914	30	22	1	1	X
ejpam-914	30	23	.	.	PUNCT
ejpam-914	31	1	let	let	VERB
ejpam-914	31	2	m	m	PRON
ejpam-914	31	3	be	be	AUX
ejpam-914	31	4	a	a	DET
ejpam-914	31	5	kaehler	kaehler	NOUN
ejpam-914	31	6	manifold	manifold	NOUN
ejpam-914	31	7	of	of	ADP
ejpam-914	31	8	dimension	dimension	NOUN
ejpam-914	31	9	n≥	n≥	NOUN
ejpam-914	31	10	4	4	X
ejpam-914	31	11	.	.	PUNCT
ejpam-914	32	1	then	then	ADV
ejpam-914	32	2	div	div	PROPN
ejpam-914	32	3	r	r	NOUN
ejpam-914	32	4	=	=	SYM
ejpam-914	32	5	0	0	NUM
ejpam-914	32	6	and	and	CCONJ
ejpam-914	32	7	div	div	PROPN
ejpam-914	32	8	c	c	NOUN
ejpam-914	32	9	=	=	SYM
ejpam-914	32	10	0	0	NUM
ejpam-914	32	11	are	be	AUX
ejpam-914	32	12	equivalent	equivalent	ADJ
ejpam-914	32	13	.	.	PUNCT
ejpam-914	33	1	to	to	PART
ejpam-914	33	2	prove	prove	VERB
ejpam-914	33	3	the	the	DET
ejpam-914	33	4	theorem	theorem	NOUN
ejpam-914	33	5	we	we	PRON
ejpam-914	33	6	first	first	ADV
ejpam-914	33	7	state	state	NOUN
ejpam-914	33	8	and	and	CCONJ
ejpam-914	33	9	prove	prove	VERB
ejpam-914	33	10	the	the	DET
ejpam-914	33	11	following	following	NOUN
ejpam-914	33	12	:	:	PUNCT
ejpam-914	33	13	lemma	lemma	PROPN
ejpam-914	33	14	1	1	X
ejpam-914	33	15	.	.	PUNCT
ejpam-914	34	1	in	in	ADP
ejpam-914	34	2	a	a	DET
ejpam-914	34	3	kaehler	kaehler	NOUN
ejpam-914	34	4	manifold	manifold	NOUN
ejpam-914	34	5	(	(	PUNCT
ejpam-914	34	6	∇zs)(jx	∇zs)(jx	PROPN
ejpam-914	34	7	,	,	PUNCT
ejpam-914	34	8	y	y	PROPN
ejpam-914	34	9	)	)	PUNCT
ejpam-914	34	10	=	=	SYM
ejpam-914	34	11	−(∇zs)(x	−(∇zs)(x	PROPN
ejpam-914	34	12	,	,	PUNCT
ejpam-914	34	13	jy	jy	PROPN
ejpam-914	34	14	)	)	PUNCT
ejpam-914	34	15	holds	hold	VERB
ejpam-914	34	16	.	.	PUNCT
ejpam-914	35	1	proof	proof	NOUN
ejpam-914	35	2	.	.	PUNCT
ejpam-914	36	1	in	in	ADP
ejpam-914	36	2	a	a	DET
ejpam-914	36	3	kaehler	kaehler	NOUN
ejpam-914	36	4	manifold	manifold	VERB
ejpam-914	36	5	the	the	DET
ejpam-914	36	6	ricci	ricci	PROPN
ejpam-914	36	7	tensor	tensor	NOUN
ejpam-914	36	8	s	s	PART
ejpam-914	36	9	satisfies	satisfie	NOUN
ejpam-914	36	10	s(jx	s(jx	PROPN
ejpam-914	36	11	,	,	PUNCT
ejpam-914	36	12	y	y	PROPN
ejpam-914	36	13	)	)	PUNCT
ejpam-914	37	1	=	=	NOUN
ejpam-914	37	2	−s(x	−s(x	NOUN
ejpam-914	37	3	,	,	PUNCT
ejpam-914	37	4	jy	jy	PROPN
ejpam-914	37	5	.	.	PUNCT
ejpam-914	37	6	)	)	PUNCT
ejpam-914	38	1	now	now	ADV
ejpam-914	38	2	(	(	PUNCT
ejpam-914	38	3	∇zs)(jx	∇zs)(jx	PROPN
ejpam-914	38	4	,	,	PUNCT
ejpam-914	38	5	y	y	PROPN
ejpam-914	38	6	)	)	PUNCT
ejpam-914	39	1	=	=	SYM
ejpam-914	39	2	∇zs(jx	∇zs(jx	PROPN
ejpam-914	39	3	,	,	PUNCT
ejpam-914	39	4	y	y	PROPN
ejpam-914	39	5	)	)	PUNCT
ejpam-914	39	6	−	−	PROPN
ejpam-914	39	7	s(∇z	s(∇z	NUM
ejpam-914	39	8	jx	jx	PROPN
ejpam-914	39	9	,	,	PUNCT
ejpam-914	39	10	y	y	PROPN
ejpam-914	39	11	)	)	PUNCT
ejpam-914	39	12	−	−	PROPN
ejpam-914	39	13	s(jx	s(jx	NOUN
ejpam-914	39	14	,	,	PUNCT
ejpam-914	39	15	∇z	∇z	PROPN
ejpam-914	39	16	y	y	NOUN
ejpam-914	39	17	)	)	PUNCT
ejpam-914	40	1	=	=	PUNCT
ejpam-914	41	1	−∇zs(x	−∇zs(x	PROPN
ejpam-914	41	2	,	,	PUNCT
ejpam-914	41	3	jy	jy	PROPN
ejpam-914	41	4	)	)	PUNCT
ejpam-914	41	5	−	−	PROPN
ejpam-914	42	1	s(j∇z	s(j∇z	NOUN
ejpam-914	42	2	x	x	NOUN
ejpam-914	42	3	,	,	PUNCT
ejpam-914	42	4	y	y	PROPN
ejpam-914	42	5	)	)	PUNCT
ejpam-914	42	6	−	−	PROPN
ejpam-914	42	7	s(x	s(x	PROPN
ejpam-914	42	8	,	,	PUNCT
ejpam-914	42	9	j∇z	j∇z	PROPN
ejpam-914	42	10	y	y	PROPN
ejpam-914	42	11	)	)	PUNCT
ejpam-914	42	12	,	,	PUNCT
ejpam-914	42	13	using	use	VERB
ejpam-914	42	14	(	(	PUNCT
ejpam-914	42	15	5	5	NUM
ejpam-914	42	16	)	)	PUNCT
ejpam-914	42	17	=	=	NOUN
ejpam-914	43	1	−∇zs(x	−∇zs(x	PROPN
ejpam-914	43	2	,	,	PUNCT
ejpam-914	43	3	jy	jy	PROPN
ejpam-914	43	4	)	)	PUNCT
ejpam-914	44	1	+	+	CCONJ
ejpam-914	44	2	s(∇z	s(∇z	NUM
ejpam-914	44	3	x	x	PUNCT
ejpam-914	44	4	,	,	PUNCT
ejpam-914	44	5	jy	jy	PROPN
ejpam-914	44	6	)	)	PUNCT
ejpam-914	45	1	+	+	CCONJ
ejpam-914	45	2	s(x	s(x	NOUN
ejpam-914	45	3	,	,	PUNCT
ejpam-914	45	4	∇z	∇z	PROPN
ejpam-914	45	5	jy	jy	PROPN
ejpam-914	45	6	)	)	PUNCT
ejpam-914	45	7	,	,	PUNCT
ejpam-914	45	8	by	by	ADP
ejpam-914	45	9	(	(	PUNCT
ejpam-914	45	10	5	5	NUM
ejpam-914	45	11	)	)	PUNCT
ejpam-914	45	12	=	=	SYM
ejpam-914	45	13	−(∇zs)(x	−(∇zs)(x	PROPN
ejpam-914	45	14	,	,	PUNCT
ejpam-914	45	15	jy	jy	PROPN
ejpam-914	45	16	)	)	PUNCT
ejpam-914	45	17	.	.	PUNCT
ejpam-914	46	1	this	this	PRON
ejpam-914	46	2	completes	complete	VERB
ejpam-914	46	3	the	the	DET
ejpam-914	46	4	proof	proof	NOUN
ejpam-914	46	5	.	.	PUNCT
ejpam-914	47	1	lemma	lemma	PROPN
ejpam-914	47	2	2	2	NUM
ejpam-914	47	3	.	.	PUNCT
ejpam-914	48	1	in	in	ADP
ejpam-914	48	2	a	a	DET
ejpam-914	48	3	kaehler	kaehler	NOUN
ejpam-914	48	4	manifold	manifold	VERB
ejpam-914	48	5	the	the	DET
ejpam-914	48	6	ricci	ricci	PROPN
ejpam-914	48	7	tensor	tensor	NOUN
ejpam-914	48	8	s	s	PART
ejpam-914	48	9	satisfies	satisfie	NOUN
ejpam-914	48	10	the	the	DET
ejpam-914	48	11	condition∑n	condition∑n	PROPN
ejpam-914	48	12	i=1(∇ei	i=1(∇ei	X
ejpam-914	48	13	s)(jx	s)(jx	NOUN
ejpam-914	48	14	,	,	PUNCT
ejpam-914	48	15	ei	ei	NOUN
ejpam-914	48	16	)	)	PUNCT
ejpam-914	48	17	=	=	SYM
ejpam-914	48	18	1	1	NUM
ejpam-914	48	19	2	2	NUM
ejpam-914	48	20	dr(jx	dr(jx	PROPN
ejpam-914	48	21	)	)	PUNCT
ejpam-914	48	22	,	,	PUNCT
ejpam-914	48	23	where	where	SCONJ
ejpam-914	48	24	{	{	PUNCT
ejpam-914	48	25	ei	ei	AUX
ejpam-914	48	26	}	}	PUNCT
ejpam-914	48	27	is	be	AUX
ejpam-914	48	28	an	an	DET
ejpam-914	48	29	orthonormal	orthonormal	ADJ
ejpam-914	48	30	basis	basis	NOUN
ejpam-914	48	31	of	of	ADP
ejpam-914	48	32	the	the	DET
ejpam-914	48	33	tangent	tangent	ADJ
ejpam-914	48	34	space	space	NOUN
ejpam-914	48	35	at	at	ADP
ejpam-914	48	36	each	each	DET
ejpam-914	48	37	point	point	NOUN
ejpam-914	48	38	of	of	ADP
ejpam-914	48	39	the	the	DET
ejpam-914	48	40	manifold	manifold	NOUN
ejpam-914	48	41	.	.	PUNCT
ejpam-914	49	1	u.	u.	PROPN
ejpam-914	49	2	de	de	PROPN
ejpam-914	49	3	/	/	SYM
ejpam-914	49	4	eur	eur	PROPN
ejpam-914	49	5	.	.	PUNCT
ejpam-914	50	1	j.	j.	PROPN
ejpam-914	50	2	pure	pure	PROPN
ejpam-914	50	3	appl	appl	PROPN
ejpam-914	50	4	.	.	PROPN
ejpam-914	50	5	math	math	PROPN
ejpam-914	50	6	,	,	PUNCT
ejpam-914	50	7	3	3	NUM
ejpam-914	50	8	(	(	PUNCT
ejpam-914	50	9	2010	2010	NUM
ejpam-914	50	10	)	)	PUNCT
ejpam-914	50	11	,	,	PUNCT
ejpam-914	50	12	1137	1137	NUM
ejpam-914	50	13	-	-	SYM
ejpam-914	50	14	1140	1140	NUM
ejpam-914	50	15	1139	1139	NUM
ejpam-914	50	16	proof	proof	NOUN
ejpam-914	50	17	.	.	PUNCT
ejpam-914	51	1	from	from	ADP
ejpam-914	51	2	s(x	s(x	PROPN
ejpam-914	51	3	,	,	PUNCT
ejpam-914	51	4	y	y	PROPN
ejpam-914	51	5	)	)	PUNCT
ejpam-914	51	6	=	=	SYM
ejpam-914	52	1	g(qx	g(qx	PROPN
ejpam-914	52	2	,	,	PUNCT
ejpam-914	52	3	y	y	PROPN
ejpam-914	52	4	)	)	PUNCT
ejpam-914	52	5	we	we	PRON
ejpam-914	52	6	easily	easily	ADV
ejpam-914	52	7	get	get	VERB
ejpam-914	52	8	[	[	X
ejpam-914	52	9	2	2	X
ejpam-914	52	10	]	]	PUNCT
ejpam-914	52	11	(	(	PUNCT
ejpam-914	52	12	∇zs)(x	∇zs)(x	NOUN
ejpam-914	52	13	,	,	PUNCT
ejpam-914	52	14	y	y	PROPN
ejpam-914	52	15	)	)	PUNCT
ejpam-914	53	1	=	=	SYM
ejpam-914	53	2	g((∇zq)x	g((∇zq)x	NOUN
ejpam-914	53	3	,	,	PUNCT
ejpam-914	53	4	y	y	PROPN
ejpam-914	53	5	)	)	PUNCT
ejpam-914	53	6	.	.	PUNCT
ejpam-914	54	1	(	(	PUNCT
ejpam-914	54	2	6	6	X
ejpam-914	54	3	)	)	PUNCT
ejpam-914	54	4	replacing	replace	VERB
ejpam-914	54	5	x	x	PUNCT
ejpam-914	54	6	by	by	ADP
ejpam-914	54	7	jx	jx	PROPN
ejpam-914	54	8	in	in	ADP
ejpam-914	54	9	(	(	PUNCT
ejpam-914	54	10	6	6	NUM
ejpam-914	54	11	)	)	PUNCT
ejpam-914	54	12	yields	yield	NOUN
ejpam-914	54	13	(	(	PUNCT
ejpam-914	54	14	∇zs)(jx	∇zs)(jx	PROPN
ejpam-914	54	15	,	,	PUNCT
ejpam-914	54	16	y	y	PROPN
ejpam-914	54	17	)	)	PUNCT
ejpam-914	55	1	=	=	NOUN
ejpam-914	55	2	g((∇zq)jx	g((∇zq)jx	NOUN
ejpam-914	55	3	,	,	PUNCT
ejpam-914	55	4	y	y	PROPN
ejpam-914	55	5	)	)	PUNCT
ejpam-914	55	6	.	.	PUNCT
ejpam-914	56	1	(	(	PUNCT
ejpam-914	56	2	7	7	X
ejpam-914	56	3	)	)	PUNCT
ejpam-914	56	4	putting	put	VERB
ejpam-914	56	5	y	y	NOUN
ejpam-914	56	6	=	=	PUNCT
ejpam-914	56	7	z	z	NOUN
ejpam-914	56	8	=	=	PUNCT
ejpam-914	56	9	ei	ei	NOUN
ejpam-914	56	10	in	in	ADP
ejpam-914	56	11	(	(	PUNCT
ejpam-914	56	12	7	7	NUM
ejpam-914	56	13	)	)	PUNCT
ejpam-914	56	14	and	and	CCONJ
ejpam-914	56	15	taking	take	VERB
ejpam-914	56	16	summation	summation	NOUN
ejpam-914	56	17	over	over	ADP
ejpam-914	56	18	i	i	PROPN
ejpam-914	56	19	,	,	PUNCT
ejpam-914	56	20	i	i	NOUN
ejpam-914	56	21	=	=	NOUN
ejpam-914	56	22	1,2	1,2	NUM
ejpam-914	56	23	,	,	PUNCT
ejpam-914	56	24	.	.	PUNCT
ejpam-914	56	25	.	.	PUNCT
ejpam-914	57	1	.	.	PUNCT
ejpam-914	58	1	,	,	PUNCT
ejpam-914	58	2	n	n	CCONJ
ejpam-914	58	3	,	,	PUNCT
ejpam-914	58	4	we	we	PRON
ejpam-914	58	5	get	get	VERB
ejpam-914	58	6	(	(	PUNCT
ejpam-914	58	7	∇ei	∇ei	PROPN
ejpam-914	58	8	s)(jx	s)(jx	NOUN
ejpam-914	58	9	,	,	PUNCT
ejpam-914	58	10	ei	ei	NOUN
ejpam-914	58	11	)	)	PUNCT
ejpam-914	58	12	=	=	PUNCT
ejpam-914	59	1	g((∇ei	g((∇ei	PROPN
ejpam-914	59	2	q)jx	q)jx	PROPN
ejpam-914	59	3	,	,	PUNCT
ejpam-914	59	4	ei	ei	NOUN
ejpam-914	59	5	)	)	PUNCT
ejpam-914	59	6	.	.	PUNCT
ejpam-914	60	1	we	we	PRON
ejpam-914	60	2	know	know	VERB
ejpam-914	60	3	(	(	PUNCT
ejpam-914	60	4	divq)(x	divq)(x	NOUN
ejpam-914	60	5	)	)	PUNCT
ejpam-914	61	1	=	=	SYM
ejpam-914	61	2	tr(z	tr(z	PUNCT
ejpam-914	61	3	→	→	SYM
ejpam-914	61	4	(	(	PUNCT
ejpam-914	61	5	∇zq)(x	∇zq)(x	NOUN
ejpam-914	61	6	)	)	PUNCT
ejpam-914	61	7	)	)	PUNCT
ejpam-914	62	1	=	=	PUNCT
ejpam-914	62	2	∑	∑	PUNCT
ejpam-914	62	3	i	i	PRON
ejpam-914	62	4	g((∇ei	g((∇ei	VERB
ejpam-914	62	5	q)(x	q)(x	PROPN
ejpam-914	62	6	)	)	PUNCT
ejpam-914	62	7	,	,	PUNCT
ejpam-914	62	8	ei	ei	NOUN
ejpam-914	62	9	)	)	PUNCT
ejpam-914	62	10	.	.	PUNCT
ejpam-914	63	1	but	but	CCONJ
ejpam-914	63	2	it	it	PRON
ejpam-914	63	3	is	be	AUX
ejpam-914	63	4	known	know	VERB
ejpam-914	63	5	[	[	PUNCT
ejpam-914	63	6	4	4	NUM
ejpam-914	63	7	]	]	PUNCT
ejpam-914	63	8	that	that	SCONJ
ejpam-914	63	9	(	(	PUNCT
ejpam-914	63	10	div	div	X
ejpam-914	63	11	q)(x	q)(x	PROPN
ejpam-914	63	12	)	)	PUNCT
ejpam-914	63	13	=	=	SYM
ejpam-914	63	14	1	1	NUM
ejpam-914	63	15	2	2	NUM
ejpam-914	63	16	dr(x	dr(x	NOUN
ejpam-914	63	17	)	)	PUNCT
ejpam-914	63	18	.	.	PUNCT
ejpam-914	64	1	hence	hence	ADV
ejpam-914	64	2	(	(	PUNCT
ejpam-914	64	3	∇ei	∇ei	PROPN
ejpam-914	64	4	s)(jx	s)(jx	NOUN
ejpam-914	64	5	,	,	PUNCT
ejpam-914	64	6	ei	ei	NOUN
ejpam-914	64	7	)	)	PUNCT
ejpam-914	64	8	=	=	SYM
ejpam-914	64	9	1	1	NUM
ejpam-914	64	10	2	2	NUM
ejpam-914	64	11	dr(jx	dr(jx	PROPN
ejpam-914	64	12	)	)	PUNCT
ejpam-914	64	13	,	,	PUNCT
ejpam-914	64	14	which	which	PRON
ejpam-914	64	15	completes	complete	VERB
ejpam-914	64	16	the	the	DET
ejpam-914	64	17	proof	proof	NOUN
ejpam-914	64	18	.	.	PUNCT
ejpam-914	65	1	proof	proof	NOUN
ejpam-914	65	2	.	.	PUNCT
ejpam-914	66	1	[	[	X
ejpam-914	66	2	of	of	ADP
ejpam-914	66	3	the	the	DET
ejpam-914	66	4	main	main	ADJ
ejpam-914	66	5	theorem	theorem	NOUN
ejpam-914	66	6	]	]	PUNCT
ejpam-914	66	7	suppose	suppose	VERB
ejpam-914	66	8	div	div	X
ejpam-914	66	9	c	c	NOUN
ejpam-914	66	10	=	=	SYM
ejpam-914	66	11	0	0	PROPN
ejpam-914	66	12	.	.	PUNCT
ejpam-914	67	1	then	then	ADV
ejpam-914	67	2	from	from	ADP
ejpam-914	67	3	(	(	PUNCT
ejpam-914	67	4	2	2	X
ejpam-914	67	5	)	)	PUNCT
ejpam-914	67	6	we	we	PRON
ejpam-914	67	7	have	have	VERB
ejpam-914	67	8	(	(	PUNCT
ejpam-914	67	9	∇zs)(x	∇zs)(x	NOUN
ejpam-914	67	10	,	,	PUNCT
ejpam-914	67	11	y	y	PROPN
ejpam-914	67	12	)	)	PUNCT
ejpam-914	67	13	−	−	PROPN
ejpam-914	68	1	(	(	PUNCT
ejpam-914	68	2	∇x	∇x	NOUN
ejpam-914	68	3	s)(z	s)(z	NOUN
ejpam-914	68	4	,	,	PUNCT
ejpam-914	68	5	y	y	PROPN
ejpam-914	68	6	)	)	PUNCT
ejpam-914	68	7	=	=	PUNCT
ejpam-914	69	1	1	1	NUM
ejpam-914	69	2	2(n−	2(n−	NUM
ejpam-914	69	3	1	1	NUM
ejpam-914	69	4	)	)	PUNCT
ejpam-914	70	1	[	[	X
ejpam-914	70	2	dr(z)g(x	dr(z)g(x	NOUN
ejpam-914	70	3	,	,	PUNCT
ejpam-914	70	4	y	y	PROPN
ejpam-914	70	5	)	)	PUNCT
ejpam-914	70	6	−	−	PROPN
ejpam-914	70	7	dr(x	dr(x	NOUN
ejpam-914	70	8	)	)	PUNCT
ejpam-914	71	1	g(z	g(z	PROPN
ejpam-914	71	2	,	,	PUNCT
ejpam-914	71	3	y	y	PROPN
ejpam-914	71	4	)	)	PUNCT
ejpam-914	71	5	]	]	PUNCT
ejpam-914	71	6	.	.	PUNCT
ejpam-914	72	1	(	(	PUNCT
ejpam-914	72	2	8)	8)	NUM
ejpam-914	72	3	it	it	PRON
ejpam-914	72	4	is	be	AUX
ejpam-914	72	5	known	know	VERB
ejpam-914	72	6	[	[	X
ejpam-914	72	7	5	5	NUM
ejpam-914	72	8	]	]	PUNCT
ejpam-914	72	9	that	that	SCONJ
ejpam-914	72	10	in	in	ADP
ejpam-914	72	11	a	a	DET
ejpam-914	72	12	kaehler	kaehler	NOUN
ejpam-914	72	13	manifold	manifold	VERB
ejpam-914	72	14	the	the	DET
ejpam-914	72	15	ricci	ricci	PROPN
ejpam-914	72	16	tensor	tensor	NOUN
ejpam-914	72	17	s	s	PART
ejpam-914	72	18	satisfies	satisfie	NOUN
ejpam-914	72	19	(	(	PUNCT
ejpam-914	72	20	∇zs)(x	∇zs)(x	NOUN
ejpam-914	72	21	,	,	PUNCT
ejpam-914	72	22	y	y	PROPN
ejpam-914	72	23	)	)	PUNCT
ejpam-914	73	1	=	=	PUNCT
ejpam-914	73	2	(	(	PUNCT
ejpam-914	73	3	∇x	∇x	NOUN
ejpam-914	73	4	s)(z	s)(z	NOUN
ejpam-914	73	5	,	,	PUNCT
ejpam-914	73	6	y	y	PROPN
ejpam-914	73	7	)	)	PUNCT
ejpam-914	74	1	+	+	CCONJ
ejpam-914	74	2	(	(	PUNCT
ejpam-914	74	3	∇jy	∇jy	X
ejpam-914	74	4	s)(jx	s)(jx	NOUN
ejpam-914	74	5	,	,	PUNCT
ejpam-914	74	6	z	z	NOUN
ejpam-914	74	7	)	)	PUNCT
ejpam-914	74	8	.	.	PUNCT
ejpam-914	75	1	(	(	PUNCT
ejpam-914	75	2	9	9	X
ejpam-914	75	3	)	)	PUNCT
ejpam-914	75	4	using	use	VERB
ejpam-914	75	5	(	(	PUNCT
ejpam-914	75	6	9	9	NUM
ejpam-914	75	7	)	)	PUNCT
ejpam-914	75	8	in	in	ADP
ejpam-914	75	9	(	(	PUNCT
ejpam-914	75	10	8)	8)	NUM
ejpam-914	75	11	we	we	PRON
ejpam-914	75	12	obtain	obtain	VERB
ejpam-914	75	13	(	(	PUNCT
ejpam-914	75	14	∇jy	∇jy	X
ejpam-914	75	15	s)(jx	s)(jx	NOUN
ejpam-914	75	16	,	,	PUNCT
ejpam-914	75	17	z	z	NOUN
ejpam-914	75	18	)	)	PUNCT
ejpam-914	75	19	=	=	SYM
ejpam-914	75	20	1	1	NUM
ejpam-914	75	21	2(n−	2(n−	NUM
ejpam-914	75	22	1	1	NUM
ejpam-914	75	23	)	)	PUNCT
ejpam-914	76	1	[	[	X
ejpam-914	76	2	dr(z)g(x	dr(z)g(x	NOUN
ejpam-914	76	3	,	,	PUNCT
ejpam-914	76	4	y	y	PROPN
ejpam-914	76	5	)	)	PUNCT
ejpam-914	76	6	−	−	PROPN
ejpam-914	76	7	dr(x	dr(x	NOUN
ejpam-914	76	8	)	)	PUNCT
ejpam-914	77	1	g(z	g(z	PROPN
ejpam-914	77	2	,	,	PUNCT
ejpam-914	77	3	y	y	PROPN
ejpam-914	77	4	)	)	PUNCT
ejpam-914	77	5	]	]	PUNCT
ejpam-914	77	6	.	.	PUNCT
ejpam-914	78	1	(	(	PUNCT
ejpam-914	78	2	10	10	NUM
ejpam-914	78	3	)	)	PUNCT
ejpam-914	78	4	replacing	replace	VERB
ejpam-914	78	5	y	y	PRON
ejpam-914	78	6	by	by	ADP
ejpam-914	78	7	jy	jy	PROPN
ejpam-914	78	8	in	in	ADP
ejpam-914	78	9	(	(	PUNCT
ejpam-914	78	10	10	10	NUM
ejpam-914	78	11	)	)	PUNCT
ejpam-914	78	12	we	we	PRON
ejpam-914	78	13	obtain	obtain	VERB
ejpam-914	78	14	−(∇y	−(∇y	NOUN
ejpam-914	78	15	s)(jx	s)(jx	NOUN
ejpam-914	78	16	,	,	PUNCT
ejpam-914	78	17	z	z	X
ejpam-914	78	18	)	)	PUNCT
ejpam-914	78	19	=	=	SYM
ejpam-914	78	20	1	1	NUM
ejpam-914	78	21	2(n−	2(n−	NUM
ejpam-914	78	22	1	1	NUM
ejpam-914	78	23	)	)	PUNCT
ejpam-914	79	1	[	[	X
ejpam-914	79	2	dr(z)g(x	dr(z)g(x	NOUN
ejpam-914	79	3	,	,	PUNCT
ejpam-914	79	4	jy	jy	PROPN
ejpam-914	79	5	)	)	PUNCT
ejpam-914	79	6	−	−	PROPN
ejpam-914	79	7	dr(x	dr(x	NOUN
ejpam-914	79	8	)	)	PUNCT
ejpam-914	80	1	g(z	g(z	PROPN
ejpam-914	80	2	,	,	PUNCT
ejpam-914	80	3	jy	jy	PROPN
ejpam-914	80	4	)	)	PUNCT
ejpam-914	80	5	]	]	PUNCT
ejpam-914	80	6	.	.	PUNCT
ejpam-914	81	1	(	(	PUNCT
ejpam-914	81	2	11	11	X
ejpam-914	81	3	)	)	PUNCT
ejpam-914	81	4	using	use	VERB
ejpam-914	81	5	(	(	PUNCT
ejpam-914	81	6	3	3	NUM
ejpam-914	81	7	)	)	PUNCT
ejpam-914	81	8	and	and	CCONJ
ejpam-914	81	9	lemma	lemma	PROPN
ejpam-914	81	10	1	1	NUM
ejpam-914	81	11	we	we	PRON
ejpam-914	81	12	get	get	VERB
ejpam-914	81	13	from	from	ADP
ejpam-914	81	14	(	(	PUNCT
ejpam-914	81	15	11	11	NUM
ejpam-914	81	16	)	)	PUNCT
ejpam-914	81	17	(	(	PUNCT
ejpam-914	81	18	∇y	∇y	PROPN
ejpam-914	81	19	s)(x	s)(x	PROPN
ejpam-914	81	20	,	,	PUNCT
ejpam-914	81	21	j	j	PROPN
ejpam-914	81	22	z	z	PROPN
ejpam-914	81	23	)	)	PUNCT
ejpam-914	81	24	=	=	SYM
ejpam-914	81	25	1	1	NUM
ejpam-914	81	26	2(n−	2(n−	NUM
ejpam-914	81	27	1	1	NUM
ejpam-914	81	28	)	)	PUNCT
ejpam-914	82	1	[	[	X
ejpam-914	82	2	dr(z)g(x	dr(z)g(x	NOUN
ejpam-914	82	3	,	,	PUNCT
ejpam-914	82	4	jy	jy	PROPN
ejpam-914	82	5	)	)	PUNCT
ejpam-914	83	1	+	+	CCONJ
ejpam-914	83	2	dr(x	dr(x	X
ejpam-914	83	3	)	)	PUNCT
ejpam-914	84	1	g(j	g(j	PROPN
ejpam-914	84	2	z	z	PROPN
ejpam-914	84	3	,	,	PUNCT
ejpam-914	84	4	y	y	PROPN
ejpam-914	84	5	)	)	PUNCT
ejpam-914	84	6	]	]	PUNCT
ejpam-914	84	7	.	.	PUNCT
ejpam-914	85	1	(	(	PUNCT
ejpam-914	85	2	12	12	X
ejpam-914	85	3	)	)	PUNCT
ejpam-914	85	4	taking	take	VERB
ejpam-914	85	5	x	x	PUNCT
ejpam-914	85	6	=	=	PUNCT
ejpam-914	85	7	y	y	NOUN
ejpam-914	85	8	=	=	PUNCT
ejpam-914	85	9	ei	ei	PROPN
ejpam-914	85	10	in	in	ADP
ejpam-914	85	11	(	(	PUNCT
ejpam-914	85	12	12	12	NUM
ejpam-914	85	13	)	)	PUNCT
ejpam-914	85	14	we	we	PRON
ejpam-914	85	15	get	get	VERB
ejpam-914	85	16	1	1	NUM
ejpam-914	85	17	2	2	NUM
ejpam-914	85	18	dr(j	dr(j	NOUN
ejpam-914	85	19	z	z	NOUN
ejpam-914	85	20	)	)	PUNCT
ejpam-914	85	21	=	=	SYM
ejpam-914	85	22	1	1	NUM
ejpam-914	85	23	2(n−	2(n−	NUM
ejpam-914	85	24	1	1	NUM
ejpam-914	85	25	)	)	PUNCT
ejpam-914	85	26	dr(j	dr(j	NOUN
ejpam-914	85	27	z	z	NOUN
ejpam-914	85	28	)	)	PUNCT
ejpam-914	85	29	which	which	PRON
ejpam-914	85	30	implies	imply	VERB
ejpam-914	85	31	dr(j	dr(j	NOUN
ejpam-914	85	32	z	z	NOUN
ejpam-914	85	33	)	)	PUNCT
ejpam-914	85	34	=	=	SYM
ejpam-914	85	35	0	0	NUM
ejpam-914	85	36	,	,	PUNCT
ejpam-914	85	37	since	since	SCONJ
ejpam-914	85	38	n	n	X
ejpam-914	85	39	≥	≥	NOUN
ejpam-914	85	40	4	4	NUM
ejpam-914	85	41	.	.	PUNCT
ejpam-914	85	42	hence	hence	ADV
ejpam-914	85	43	dr(z	dr(z	NOUN
ejpam-914	85	44	)	)	PUNCT
ejpam-914	85	45	=	=	SYM
ejpam-914	85	46	0	0	NUM
ejpam-914	85	47	,	,	PUNCT
ejpam-914	85	48	that	that	ADV
ejpam-914	85	49	is	is	ADV
ejpam-914	85	50	,	,	PUNCT
ejpam-914	85	51	r	r	NOUN
ejpam-914	85	52	=	=	NOUN
ejpam-914	85	53	constant	constant	ADJ
ejpam-914	85	54	.	.	PUNCT
ejpam-914	86	1	using	use	VERB
ejpam-914	86	2	r	r	NOUN
ejpam-914	86	3	=	=	NOUN
ejpam-914	86	4	constant	constant	ADJ
ejpam-914	86	5	in	in	ADP
ejpam-914	86	6	(	(	PUNCT
ejpam-914	86	7	8)	8)	NUM
ejpam-914	86	8	we	we	PRON
ejpam-914	86	9	get	get	VERB
ejpam-914	86	10	(	(	PUNCT
ejpam-914	86	11	∇zs)(x	∇zs)(x	NOUN
ejpam-914	86	12	,	,	PUNCT
ejpam-914	86	13	y	y	PROPN
ejpam-914	86	14	)	)	PUNCT
ejpam-914	87	1	=	=	PUNCT
ejpam-914	87	2	(	(	PUNCT
ejpam-914	87	3	∇x	∇x	NOUN
ejpam-914	87	4	s)(z	s)(z	NOUN
ejpam-914	87	5	,	,	PUNCT
ejpam-914	87	6	y	y	PROPN
ejpam-914	87	7	)	)	PUNCT
ejpam-914	87	8	.	.	PUNCT
ejpam-914	88	1	references	reference	NOUN
ejpam-914	88	2	1140	1140	NUM
ejpam-914	88	3	therefore	therefore	ADV
ejpam-914	88	4	div	div	PROPN
ejpam-914	88	5	r	r	NOUN
ejpam-914	88	6	=	=	NOUN
ejpam-914	88	7	0	0	PROPN
ejpam-914	88	8	.	.	PUNCT
ejpam-914	89	1	this	this	PRON
ejpam-914	89	2	completes	complete	VERB
ejpam-914	89	3	the	the	DET
ejpam-914	89	4	proof	proof	NOUN
ejpam-914	89	5	.	.	PUNCT
ejpam-914	90	1	from	from	ADP
ejpam-914	90	2	theorem	theorem	NOUN
ejpam-914	90	3	1	1	NUM
ejpam-914	90	4	and	and	CCONJ
ejpam-914	90	5	the	the	DET
ejpam-914	90	6	known	know	VERB
ejpam-914	90	7	result	result	NOUN
ejpam-914	90	8	mentioned	mention	VERB
ejpam-914	90	9	in	in	ADP
ejpam-914	90	10	the	the	DET
ejpam-914	90	11	introduction	introduction	NOUN
ejpam-914	90	12	we	we	PRON
ejpam-914	90	13	obtain	obtain	VERB
ejpam-914	90	14	that	that	SCONJ
ejpam-914	90	15	if	if	SCONJ
ejpam-914	90	16	the	the	DET
ejpam-914	90	17	conformal	conformal	ADJ
ejpam-914	90	18	curvature	curvature	NOUN
ejpam-914	90	19	tensor	tensor	NOUN
ejpam-914	90	20	is	be	AUX
ejpam-914	90	21	divergence	divergence	ADV
ejpam-914	90	22	free	free	ADJ
ejpam-914	90	23	in	in	ADP
ejpam-914	90	24	a	a	DET
ejpam-914	90	25	kaehler	kaehler	NOUN
ejpam-914	90	26	manifold	manifold	NOUN
ejpam-914	90	27	of	of	ADP
ejpam-914	90	28	dimension	dimension	NOUN
ejpam-914	90	29	≥	≥	NUM
ejpam-914	90	30	4	4	NUM
ejpam-914	90	31	,	,	PUNCT
ejpam-914	90	32	then	then	ADV
ejpam-914	90	33	the	the	DET
ejpam-914	90	34	ricci	ricci	PROPN
ejpam-914	90	35	tensor	tensor	NOUN
ejpam-914	90	36	is	be	AUX
ejpam-914	90	37	parallel	parallel	ADJ
ejpam-914	90	38	.	.	PUNCT
ejpam-914	91	1	conversely	conversely	ADV
ejpam-914	91	2	,	,	PUNCT
ejpam-914	91	3	if	if	SCONJ
ejpam-914	91	4	the	the	DET
ejpam-914	91	5	ricci	ricci	PROPN
ejpam-914	91	6	tensor	tensor	NOUN
ejpam-914	91	7	is	be	AUX
ejpam-914	91	8	parallel	parallel	ADJ
ejpam-914	91	9	,	,	PUNCT
ejpam-914	91	10	then	then	ADV
ejpam-914	91	11	from	from	ADP
ejpam-914	91	12	(	(	PUNCT
ejpam-914	91	13	2	2	X
ejpam-914	91	14	)	)	PUNCT
ejpam-914	91	15	it	it	PRON
ejpam-914	91	16	follows	follow	VERB
ejpam-914	91	17	that	that	SCONJ
ejpam-914	91	18	div	div	NOUN
ejpam-914	91	19	c	c	NOUN
ejpam-914	91	20	=	=	SYM
ejpam-914	91	21	0	0	PROPN
ejpam-914	91	22	.	.	PUNCT
ejpam-914	92	1	thus	thus	ADV
ejpam-914	92	2	we	we	PRON
ejpam-914	92	3	conclude	conclude	VERB
ejpam-914	92	4	that	that	SCONJ
ejpam-914	92	5	in	in	ADP
ejpam-914	92	6	a	a	DET
ejpam-914	92	7	kaehler	kaehler	NOUN
ejpam-914	92	8	manifold	manifold	NOUN
ejpam-914	92	9	of	of	ADP
ejpam-914	92	10	dimension	dimension	NOUN
ejpam-914	92	11	≥	≥	NUM
ejpam-914	92	12	4	4	NUM
ejpam-914	92	13	,	,	PUNCT
ejpam-914	92	14	the	the	DET
ejpam-914	92	15	statements	statement	NOUN
ejpam-914	92	16	(	(	PUNCT
ejpam-914	92	17	i	i	NOUN
ejpam-914	92	18	)	)	PUNCT
ejpam-914	92	19	div	div	X
ejpam-914	92	20	c	c	NOUN
ejpam-914	92	21	=	=	SYM
ejpam-914	92	22	0	0	NUM
ejpam-914	92	23	and	and	CCONJ
ejpam-914	92	24	(	(	PUNCT
ejpam-914	92	25	ii	ii	NOUN
ejpam-914	92	26	)	)	PUNCT
ejpam-914	92	27	the	the	DET
ejpam-914	92	28	ricci	ricci	PROPN
ejpam-914	92	29	tensor	tensor	NOUN
ejpam-914	92	30	is	be	AUX
ejpam-914	92	31	parallel	parallel	ADJ
ejpam-914	92	32	are	be	AUX
ejpam-914	92	33	equivalent	equivalent	ADJ
ejpam-914	92	34	.	.	PUNCT
ejpam-914	93	1	references	reference	NOUN
ejpam-914	93	2	[	[	X
ejpam-914	93	3	1	1	NUM
ejpam-914	93	4	]	]	PUNCT
ejpam-914	93	5	a.	a.	PROPN
ejpam-914	93	6	l.	l.	PROPN
ejpam-914	93	7	besse	besse	PROPN
ejpam-914	93	8	.	.	PUNCT
ejpam-914	94	1	einstein	einstein	PROPN
ejpam-914	94	2	manifolds	manifolds	PROPN
ejpam-914	94	3	,	,	PUNCT
ejpam-914	94	4	springer	springer	NOUN
ejpam-914	94	5	-	-	PUNCT
ejpam-914	94	6	verlag	verlag	PROPN
ejpam-914	94	7	,	,	PUNCT
ejpam-914	94	8	1987	1987	NUM
ejpam-914	94	9	.	.	PUNCT
ejpam-914	95	1	[	[	X
ejpam-914	95	2	2	2	NUM
ejpam-914	95	3	]	]	X
ejpam-914	95	4	u.	u.	PROPN
ejpam-914	95	5	c.	c.	PROPN
ejpam-914	95	6	de	de	PROPN
ejpam-914	95	7	and	and	CCONJ
ejpam-914	95	8	a.	a.	NOUN
ejpam-914	95	9	a.	a.	NOUN
ejpam-914	95	10	shaikh	shaikh	PROPN
ejpam-914	95	11	.	.	PUNCT
ejpam-914	95	12	differential	differential	ADJ
ejpam-914	95	13	geometry	geometry	NOUN
ejpam-914	95	14	of	of	ADP
ejpam-914	95	15	manifolds	manifold	NOUN
ejpam-914	95	16	,	,	PUNCT
ejpam-914	95	17	alpha	alpha	NOUN
ejpam-914	95	18	science	science	NOUN
ejpam-914	95	19	publishers	publisher	NOUN
ejpam-914	95	20	,	,	PUNCT
ejpam-914	95	21	u.	u.	PROPN
ejpam-914	95	22	k.	k.	PROPN
ejpam-914	95	23	,	,	PUNCT
ejpam-914	95	24	2007	2007	NUM
ejpam-914	95	25	.	.	PUNCT
ejpam-914	96	1	[	[	X
ejpam-914	96	2	3	3	X
ejpam-914	96	3	]	]	X
ejpam-914	96	4	l.	l.	PROPN
ejpam-914	96	5	p.	p.	PROPN
ejpam-914	96	6	eisenhart	eisenhart	PROPN
ejpam-914	96	7	.	.	PUNCT
ejpam-914	97	1	riemannian	riemannian	ADJ
ejpam-914	97	2	geometry	geometry	NOUN
ejpam-914	97	3	,	,	PUNCT
ejpam-914	97	4	princeton	princeton	PROPN
ejpam-914	97	5	university	university	PROPN
ejpam-914	97	6	press	press	NOUN
ejpam-914	97	7	,	,	PUNCT
ejpam-914	97	8	1949	1949	NUM
ejpam-914	97	9	.	.	PUNCT
ejpam-914	98	1	[	[	X
ejpam-914	98	2	4	4	NUM
ejpam-914	98	3	]	]	X
ejpam-914	98	4	p.	p.	PROPN
ejpam-914	98	5	peterson	peterson	PROPN
ejpam-914	98	6	.	.	PUNCT
ejpam-914	98	7	riemannian	riemannian	PROPN
ejpam-914	98	8	geometry	geometry	NOUN
ejpam-914	98	9	,	,	PUNCT
ejpam-914	98	10	springer	springer	NOUN
ejpam-914	98	11	,	,	PUNCT
ejpam-914	98	12	p-33	p-33	PROPN
ejpam-914	98	13	.	.	PUNCT
ejpam-914	99	1	[	[	X
ejpam-914	99	2	5	5	X
ejpam-914	99	3	]	]	PUNCT
ejpam-914	99	4	k.	k.	PROPN
ejpam-914	99	5	yano	yano	PROPN
ejpam-914	99	6	and	and	CCONJ
ejpam-914	99	7	m.	m.	PROPN
ejpam-914	99	8	kon	kon	PROPN
ejpam-914	99	9	.	.	PUNCT
ejpam-914	100	1	structures	structure	NOUN
ejpam-914	100	2	on	on	ADP
ejpam-914	100	3	manifolds	manifold	NOUN
ejpam-914	100	4	,	,	PUNCT
ejpam-914	100	5	world	world	PROPN
ejpam-914	100	6	sci	sci	PROPN
ejpam-914	100	7	.	.	PROPN
ejpam-914	100	8	,	,	PUNCT
ejpam-914	100	9	1984	1984	NUM
ejpam-914	100	10	.	.	PUNCT