id	sid	tid	token	lemma	pos
ejpam-1920	1	1	european	european	PROPN
ejpam-1920	1	2	journal	journal	PROPN
ejpam-1920	1	3	of	of	ADP
ejpam-1920	1	4	pure	pure	ADJ
ejpam-1920	1	5	and	and	CCONJ
ejpam-1920	1	6	applied	apply	VERB
ejpam-1920	1	7	mathematics	mathematic	NOUN
ejpam-1920	1	8	vol	vol	NOUN
ejpam-1920	1	9	.	.	PUNCT
ejpam-1920	2	1	7	7	NUM
ejpam-1920	2	2	,	,	PUNCT
ejpam-1920	2	3	no	no	INTJ
ejpam-1920	2	4	.	.	NOUN
ejpam-1920	2	5	3	3	NUM
ejpam-1920	2	6	,	,	PUNCT
ejpam-1920	2	7	2014	2014	NUM
ejpam-1920	2	8	,	,	PUNCT
ejpam-1920	2	9	246	246	NUM
ejpam-1920	2	10	-	-	SYM
ejpam-1920	2	11	255	255	NUM
ejpam-1920	2	12	issn	issn	PROPN
ejpam-1920	2	13	1307	1307	NUM
ejpam-1920	2	14	-	-	SYM
ejpam-1920	2	15	5543	5543	NUM
ejpam-1920	2	16	–	–	PUNCT
ejpam-1920	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-1920	2	18	pseudo	pseudo	NOUN
ejpam-1920	2	19	conharmonically	conharmonically	ADV
ejpam-1920	2	20	symmetric	symmetric	ADJ
ejpam-1920	2	21	manifolds	manifold	NOUN
ejpam-1920	2	22	füsun	füsun	ADJ
ejpam-1920	2	23	özen	özen	NOUN
ejpam-1920	2	24	zengin	zengin	NOUN
ejpam-1920	2	25	1,∗	1,∗	NOUN
ejpam-1920	2	26	,	,	PUNCT
ejpam-1920	2	27	ayşe	ayşe	PROPN
ejpam-1920	2	28	yavuz	yavuz	PROPN
ejpam-1920	2	29	taşcı	taşcı	PROPN
ejpam-1920	2	30	2	2	NUM
ejpam-1920	2	31	1	1	NUM
ejpam-1920	2	32	department	department	NOUN
ejpam-1920	2	33	of	of	ADP
ejpam-1920	2	34	mathematics	mathematic	NOUN
ejpam-1920	2	35	,	,	PUNCT
ejpam-1920	2	36	faculty	faculty	NOUN
ejpam-1920	2	37	of	of	ADP
ejpam-1920	2	38	sciences	science	NOUN
ejpam-1920	2	39	and	and	CCONJ
ejpam-1920	2	40	letters	letter	NOUN
ejpam-1920	2	41	,	,	PUNCT
ejpam-1920	2	42	istanbul	istanbul	PROPN
ejpam-1920	2	43	technical	technical	PROPN
ejpam-1920	2	44	university	university	PROPN
ejpam-1920	2	45	,	,	PUNCT
ejpam-1920	2	46	istanbul	istanbul	PROPN
ejpam-1920	2	47	,	,	PUNCT
ejpam-1920	2	48	turkey	turkey	PROPN
ejpam-1920	2	49	2	2	NUM
ejpam-1920	2	50	department	department	NOUN
ejpam-1920	2	51	of	of	ADP
ejpam-1920	2	52	mathematics	mathematic	NOUN
ejpam-1920	2	53	,	,	PUNCT
ejpam-1920	2	54	faculty	faculty	NOUN
ejpam-1920	2	55	of	of	ADP
ejpam-1920	2	56	sciences	science	NOUN
ejpam-1920	2	57	and	and	CCONJ
ejpam-1920	2	58	letters	letter	NOUN
ejpam-1920	2	59	,	,	PUNCT
ejpam-1920	2	60	piri	piri	NOUN
ejpam-1920	2	61	reis	reis	NOUN
ejpam-1920	2	62	university	university	PROPN
ejpam-1920	2	63	,	,	PUNCT
ejpam-1920	2	64	istanbul	istanbul	PROPN
ejpam-1920	2	65	,	,	PUNCT
ejpam-1920	2	66	turkey	turkey	PROPN
ejpam-1920	2	67	abstract	abstract	NOUN
ejpam-1920	2	68	.	.	PUNCT
ejpam-1920	3	1	the	the	DET
ejpam-1920	3	2	object	object	NOUN
ejpam-1920	3	3	of	of	ADP
ejpam-1920	3	4	the	the	DET
ejpam-1920	3	5	present	present	ADJ
ejpam-1920	3	6	paper	paper	NOUN
ejpam-1920	3	7	is	be	AUX
ejpam-1920	3	8	to	to	PART
ejpam-1920	3	9	study	study	VERB
ejpam-1920	3	10	pseudo	pseudo	NOUN
ejpam-1920	3	11	conharmonically	conharmonically	ADV
ejpam-1920	3	12	symmetric	symmetric	ADJ
ejpam-1920	3	13	manifold	manifold	NOUN
ejpam-1920	3	14	which	which	PRON
ejpam-1920	3	15	is	be	AUX
ejpam-1920	3	16	a	a	DET
ejpam-1920	3	17	type	type	NOUN
ejpam-1920	3	18	of	of	ADP
ejpam-1920	3	19	non	non	ADJ
ejpam-1920	3	20	-	-	ADJ
ejpam-1920	3	21	flat	flat	ADJ
ejpam-1920	3	22	riemannian	riemannian	ADJ
ejpam-1920	3	23	manifold	manifold	NOUN
ejpam-1920	3	24	.	.	PUNCT
ejpam-1920	4	1	in	in	ADP
ejpam-1920	4	2	the	the	DET
ejpam-1920	4	3	first	first	ADJ
ejpam-1920	4	4	section	section	NOUN
ejpam-1920	4	5	,	,	PUNCT
ejpam-1920	4	6	we	we	PRON
ejpam-1920	4	7	give	give	VERB
ejpam-1920	4	8	the	the	DET
ejpam-1920	4	9	definition	definition	NOUN
ejpam-1920	4	10	of	of	ADP
ejpam-1920	4	11	a	a	DET
ejpam-1920	4	12	pseudo	pseudo	NOUN
ejpam-1920	4	13	conharmonically	conharmonically	ADV
ejpam-1920	4	14	symmetric	symmetric	ADJ
ejpam-1920	4	15	manifold	manifold	ADJ
ejpam-1920	4	16	.	.	PUNCT
ejpam-1920	5	1	in	in	ADP
ejpam-1920	5	2	the	the	DET
ejpam-1920	5	3	second	second	ADJ
ejpam-1920	5	4	section	section	NOUN
ejpam-1920	5	5	,	,	PUNCT
ejpam-1920	5	6	some	some	DET
ejpam-1920	5	7	theorems	theorem	NOUN
ejpam-1920	5	8	about	about	ADP
ejpam-1920	5	9	this	this	DET
ejpam-1920	5	10	manifold	manifold	NOUN
ejpam-1920	5	11	are	be	AUX
ejpam-1920	5	12	proved	prove	VERB
ejpam-1920	5	13	.	.	PUNCT
ejpam-1920	6	1	in	in	ADP
ejpam-1920	6	2	the	the	DET
ejpam-1920	6	3	last	last	ADJ
ejpam-1920	6	4	section	section	NOUN
ejpam-1920	6	5	,	,	PUNCT
ejpam-1920	6	6	we	we	PRON
ejpam-1920	6	7	give	give	VERB
ejpam-1920	6	8	an	an	DET
ejpam-1920	6	9	example	example	NOUN
ejpam-1920	6	10	for	for	ADP
ejpam-1920	6	11	the	the	DET
ejpam-1920	6	12	existence	existence	NOUN
ejpam-1920	6	13	of	of	ADP
ejpam-1920	6	14	this	this	DET
ejpam-1920	6	15	manifold	manifold	NOUN
ejpam-1920	6	16	.	.	PUNCT
ejpam-1920	7	1	2010	2010	NUM
ejpam-1920	7	2	mathematics	mathematic	NOUN
ejpam-1920	7	3	subject	subject	NOUN
ejpam-1920	7	4	classifications	classification	NOUN
ejpam-1920	7	5	:	:	PUNCT
ejpam-1920	7	6	53b20	53b20	NUM
ejpam-1920	7	7	,	,	PUNCT
ejpam-1920	7	8	53c25,53b30,53c15	53c25,53b30,53c15	PRON
ejpam-1920	7	9	key	key	ADJ
ejpam-1920	7	10	words	word	NOUN
ejpam-1920	7	11	and	and	CCONJ
ejpam-1920	7	12	phrases	phrase	NOUN
ejpam-1920	7	13	:	:	PUNCT
ejpam-1920	7	14	conharmonic	conharmonic	ADJ
ejpam-1920	7	15	curvature	curvature	NOUN
ejpam-1920	7	16	tensor	tensor	NOUN
ejpam-1920	7	17	,	,	PUNCT
ejpam-1920	7	18	pseudo	pseudo	NOUN
ejpam-1920	7	19	conharmonically	conharmonically	ADV
ejpam-1920	7	20	symmetric	symmetric	ADJ
ejpam-1920	7	21	manifold	manifold	ADJ
ejpam-1920	7	22	,	,	PUNCT
ejpam-1920	7	23	recurrence	recurrence	NOUN
ejpam-1920	7	24	vector	vector	NOUN
ejpam-1920	7	25	field	field	NOUN
ejpam-1920	7	26	.	.	PUNCT
ejpam-1920	8	1	1	1	X
ejpam-1920	8	2	.	.	X
ejpam-1920	8	3	introduction	introduction	NOUN
ejpam-1920	8	4	as	as	SCONJ
ejpam-1920	8	5	we	we	PRON
ejpam-1920	8	6	know	know	VERB
ejpam-1920	8	7	,	,	PUNCT
ejpam-1920	8	8	in	in	ADP
ejpam-1920	8	9	differential	differential	ADJ
ejpam-1920	8	10	geometry	geometry	NOUN
ejpam-1920	8	11	,	,	PUNCT
ejpam-1920	8	12	symmetric	symmetric	ADJ
ejpam-1920	8	13	spaces	space	NOUN
ejpam-1920	8	14	play	play	VERB
ejpam-1920	8	15	an	an	DET
ejpam-1920	8	16	important	important	ADJ
ejpam-1920	8	17	role	role	NOUN
ejpam-1920	8	18	.	.	PUNCT
ejpam-1920	9	1	in	in	ADP
ejpam-1920	9	2	the	the	DET
ejpam-1920	9	3	late	late	ADJ
ejpam-1920	9	4	twenties	twenty	NOUN
ejpam-1920	9	5	,	,	PUNCT
ejpam-1920	9	6	cartan	cartan	PROPN
ejpam-1920	9	7	[	[	X
ejpam-1920	9	8	3	3	NUM
ejpam-1920	9	9	]	]	PUNCT
ejpam-1920	9	10	initiated	initiate	VERB
ejpam-1920	9	11	riemannian	riemannian	ADJ
ejpam-1920	9	12	symmetric	symmetric	ADJ
ejpam-1920	9	13	spaces	space	NOUN
ejpam-1920	9	14	and	and	CCONJ
ejpam-1920	9	15	obtained	obtain	VERB
ejpam-1920	9	16	a	a	DET
ejpam-1920	9	17	classification	classification	NOUN
ejpam-1920	9	18	of	of	ADP
ejpam-1920	9	19	those	those	DET
ejpam-1920	9	20	spaces	space	NOUN
ejpam-1920	9	21	.	.	PUNCT
ejpam-1920	10	1	let	let	VERB
ejpam-1920	10	2	(	(	PUNCT
ejpam-1920	10	3	m	m	NOUN
ejpam-1920	10	4	,	,	PUNCT
ejpam-1920	10	5	g	g	NOUN
ejpam-1920	10	6	)	)	PUNCT
ejpam-1920	10	7	be	be	VERB
ejpam-1920	10	8	an	an	DET
ejpam-1920	10	9	n	n	ADV
ejpam-1920	10	10	-	-	PUNCT
ejpam-1920	10	11	dimensional	dimensional	ADJ
ejpam-1920	10	12	riemannian	riemannian	NOUN
ejpam-1920	10	13	manifold	manifold	NOUN
ejpam-1920	10	14	with	with	ADP
ejpam-1920	10	15	the	the	DET
ejpam-1920	10	16	riemannian	riemannian	ADJ
ejpam-1920	10	17	metric	metric	ADJ
ejpam-1920	10	18	g	g	PROPN
ejpam-1920	10	19	and	and	CCONJ
ejpam-1920	10	20	the	the	DET
ejpam-1920	10	21	levi	levi	PROPN
ejpam-1920	10	22	-	-	PUNCT
ejpam-1920	10	23	civita	civita	PROPN
ejpam-1920	10	24	connection	connection	NOUN
ejpam-1920	10	25	∇.	∇.	NOUN
ejpam-1920	10	26	if	if	SCONJ
ejpam-1920	10	27	the	the	DET
ejpam-1920	10	28	riemannian	riemannian	ADJ
ejpam-1920	10	29	curvature	curvature	NOUN
ejpam-1920	10	30	tensor	tensor	NOUN
ejpam-1920	10	31	of	of	ADP
ejpam-1920	10	32	a	a	DET
ejpam-1920	10	33	riemannian	riemannian	ADJ
ejpam-1920	10	34	manifold	manifold	ADJ
ejpam-1920	10	35	satisfies	satisfie	NOUN
ejpam-1920	10	36	the	the	DET
ejpam-1920	10	37	condition	condition	NOUN
ejpam-1920	10	38	∇r	∇r	NOUN
ejpam-1920	10	39	=	=	NOUN
ejpam-1920	11	1	0	0	PUNCT
ejpam-1920	12	1	then	then	ADV
ejpam-1920	12	2	this	this	DET
ejpam-1920	12	3	manifold	manifold	NOUN
ejpam-1920	12	4	is	be	AUX
ejpam-1920	12	5	called	call	VERB
ejpam-1920	12	6	locally	locally	ADV
ejpam-1920	12	7	symmetric	symmetric	ADJ
ejpam-1920	12	8	[	[	X
ejpam-1920	12	9	3	3	NUM
ejpam-1920	12	10	]	]	PUNCT
ejpam-1920	12	11	.	.	PUNCT
ejpam-1920	13	1	for	for	ADP
ejpam-1920	13	2	every	every	DET
ejpam-1920	13	3	point	point	NOUN
ejpam-1920	13	4	p	p	NOUN
ejpam-1920	13	5	of	of	ADP
ejpam-1920	13	6	this	this	DET
ejpam-1920	13	7	manifold	manifold	NOUN
ejpam-1920	13	8	,	,	PUNCT
ejpam-1920	13	9	this	this	DET
ejpam-1920	13	10	symmetry	symmetry	NOUN
ejpam-1920	13	11	condition	condition	NOUN
ejpam-1920	13	12	is	be	AUX
ejpam-1920	13	13	equivalent	equivalent	ADJ
ejpam-1920	13	14	to	to	ADP
ejpam-1920	13	15	the	the	DET
ejpam-1920	13	16	fact	fact	NOUN
ejpam-1920	13	17	that	that	SCONJ
ejpam-1920	13	18	the	the	DET
ejpam-1920	13	19	local	local	ADJ
ejpam-1920	13	20	geodesic	geodesic	NOUN
ejpam-1920	13	21	symmetry	symmetry	NOUN
ejpam-1920	13	22	f(p	f(p	PROPN
ejpam-1920	13	23	)	)	PUNCT
ejpam-1920	13	24	is	be	AUX
ejpam-1920	13	25	an	an	DET
ejpam-1920	13	26	isometry	isometry	NOUN
ejpam-1920	14	1	[	[	X
ejpam-1920	14	2	13	13	NUM
ejpam-1920	14	3	]	]	PUNCT
ejpam-1920	14	4	.	.	PUNCT
ejpam-1920	15	1	the	the	DET
ejpam-1920	15	2	class	class	NOUN
ejpam-1920	15	3	of	of	ADP
ejpam-1920	15	4	riemannian	riemannian	ADJ
ejpam-1920	15	5	symmetric	symmetric	ADJ
ejpam-1920	15	6	manifolds	manifold	NOUN
ejpam-1920	15	7	is	be	AUX
ejpam-1920	15	8	very	very	ADV
ejpam-1920	15	9	natural	natural	ADJ
ejpam-1920	15	10	generalization	generalization	NOUN
ejpam-1920	15	11	of	of	ADP
ejpam-1920	15	12	the	the	DET
ejpam-1920	15	13	class	class	NOUN
ejpam-1920	15	14	of	of	ADP
ejpam-1920	15	15	manifolds	manifold	NOUN
ejpam-1920	15	16	of	of	ADP
ejpam-1920	15	17	constant	constant	ADJ
ejpam-1920	15	18	curvature	curvature	NOUN
ejpam-1920	15	19	.	.	PUNCT
ejpam-1920	16	1	many	many	ADJ
ejpam-1920	16	2	authors	author	NOUN
ejpam-1920	16	3	have	have	AUX
ejpam-1920	16	4	been	be	AUX
ejpam-1920	16	5	studied	study	VERB
ejpam-1920	16	6	the	the	DET
ejpam-1920	16	7	notion	notion	NOUN
ejpam-1920	16	8	of	of	ADP
ejpam-1920	16	9	locally	locally	ADV
ejpam-1920	16	10	symmetric	symmetric	ADJ
ejpam-1920	16	11	manifolds	manifold	NOUN
ejpam-1920	16	12	extending	extend	VERB
ejpam-1920	16	13	several	several	ADJ
ejpam-1920	16	14	manifolds	manifold	NOUN
ejpam-1920	16	15	such	such	ADJ
ejpam-1920	16	16	as	as	ADP
ejpam-1920	16	17	conformally	conformally	ADV
ejpam-1920	16	18	symmetric	symmetric	ADJ
ejpam-1920	16	19	manifolds	manifold	NOUN
ejpam-1920	16	20	[	[	X
ejpam-1920	16	21	5	5	NUM
ejpam-1920	16	22	]	]	PUNCT
ejpam-1920	16	23	,	,	PUNCT
ejpam-1920	16	24	recurrent	recurrent	NOUN
ejpam-1920	16	25	manifolds	manifold	NOUN
ejpam-1920	16	26	[	[	X
ejpam-1920	16	27	24	24	NUM
ejpam-1920	16	28	]	]	PUNCT
ejpam-1920	16	29	,	,	PUNCT
ejpam-1920	16	30	conformally	conformally	ADV
ejpam-1920	16	31	recurrent	recurrent	ADJ
ejpam-1920	16	32	manifolds	manifold	NOUN
ejpam-1920	16	33	[	[	X
ejpam-1920	16	34	2	2	NUM
ejpam-1920	16	35	]	]	PUNCT
ejpam-1920	16	36	,	,	PUNCT
ejpam-1920	16	37	conformally	conformally	ADV
ejpam-1920	16	38	symmetric	symmetric	ADJ
ejpam-1920	16	39	ricci	ricci	NOUN
ejpam-1920	16	40	-	-	PUNCT
ejpam-1920	16	41	recurrent	recurrent	NOUN
ejpam-1920	16	42	spaces	space	NOUN
ejpam-1920	16	43	[	[	X
ejpam-1920	16	44	18	18	NUM
ejpam-1920	16	45	]	]	PUNCT
ejpam-1920	16	46	,	,	PUNCT
ejpam-1920	16	47	pseudo	pseudo	NOUN
ejpam-1920	16	48	-	-	ADJ
ejpam-1920	16	49	riemannian	riemannian	ADJ
ejpam-1920	16	50	manifold	manifold	NOUN
ejpam-1920	16	51	with	with	ADP
ejpam-1920	16	52	recurrent	recurrent	ADJ
ejpam-1920	16	53	concircular	concircular	ADJ
ejpam-1920	16	54	curvature	curvature	NOUN
ejpam-1920	16	55	tensor	tensor	NOUN
ejpam-1920	16	56	[	[	NOUN
ejpam-1920	16	57	12	12	NUM
ejpam-1920	16	58	]	]	PUNCT
ejpam-1920	16	59	,	,	PUNCT
ejpam-1920	16	60	semi	semi	ADJ
ejpam-1920	16	61	-	-	ADJ
ejpam-1920	16	62	symmetric	symmetric	ADJ
ejpam-1920	16	63	manifolds	manifold	NOUN
ejpam-1920	17	1	[	[	X
ejpam-1920	17	2	22	22	NUM
ejpam-1920	17	3	]	]	PUNCT
ejpam-1920	17	4	,	,	PUNCT
ejpam-1920	17	5	pseudo	pseudo	NOUN
ejpam-1920	17	6	symmetric	symmetric	ADJ
ejpam-1920	17	7	manifolds	manifold	NOUN
ejpam-1920	17	8	[	[	X
ejpam-1920	17	9	4	4	NUM
ejpam-1920	17	10	,	,	PUNCT
ejpam-1920	17	11	14	14	NUM
ejpam-1920	17	12	,	,	PUNCT
ejpam-1920	17	13	15	15	NUM
ejpam-1920	17	14	]	]	PUNCT
ejpam-1920	17	15	,	,	PUNCT
ejpam-1920	17	16	weakly	weakly	ADJ
ejpam-1920	17	17	symmetric	symmetric	ADJ
ejpam-1920	17	18	manifolds	manifold	NOUN
ejpam-1920	18	1	[	[	X
ejpam-1920	18	2	23	23	NUM
ejpam-1920	18	3	]	]	PUNCT
ejpam-1920	18	4	,	,	PUNCT
ejpam-1920	18	5	projective	projective	ADJ
ejpam-1920	18	6	symmetric	symmetric	ADJ
ejpam-1920	18	7	manifolds	manifold	NOUN
ejpam-1920	18	8	[	[	X
ejpam-1920	18	9	21	21	NUM
ejpam-1920	18	10	]	]	X
ejpam-1920	18	11	,	,	PUNCT
ejpam-1920	18	12	almost	almost	ADV
ejpam-1920	18	13	pseudo	pseudo	NOUN
ejpam-1920	18	14	concircularly	concircularly	ADV
ejpam-1920	18	15	symmetric	symmetric	ADJ
ejpam-1920	18	16	manifolds	manifold	NOUN
ejpam-1920	18	17	[	[	X
ejpam-1920	18	18	9	9	NUM
ejpam-1920	18	19	]	]	PUNCT
ejpam-1920	18	20	,	,	PUNCT
ejpam-1920	18	21	decomposable	decomposable	ADJ
ejpam-1920	18	22	∗corresponding	∗corresponding	NOUN
ejpam-1920	18	23	author	author	NOUN
ejpam-1920	18	24	.	.	PUNCT
ejpam-1920	19	1	email	email	NOUN
ejpam-1920	19	2	addresses	address	NOUN
ejpam-1920	19	3	:	:	PUNCT
ejpam-1920	19	4	fozen@itu.edu.tr	fozen@itu.edu.tr	PROPN
ejpam-1920	19	5	(	(	PUNCT
ejpam-1920	19	6	f.	f.	PROPN
ejpam-1920	19	7	zengin	zengin	PROPN
ejpam-1920	19	8	)	)	PUNCT
ejpam-1920	19	9	,	,	PUNCT
ejpam-1920	19	10	aytasci@pirireis.edu.tr	aytasci@pirireis.edu.tr	PROPN
ejpam-1920	19	11	(	(	PUNCT
ejpam-1920	19	12	a.	a.	NOUN
ejpam-1920	19	13	taşcı	taşcı	PROPN
ejpam-1920	19	14	)	)	PUNCT
ejpam-1920	19	15	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-1920	20	1	246	246	NUM
ejpam-1920	21	1	c	c	X
ejpam-1920	21	2	©	©	PROPN
ejpam-1920	21	3	2014	2014	NUM
ejpam-1920	21	4	ejpam	ejpam	NOUN
ejpam-1920	21	5	all	all	DET
ejpam-1920	21	6	rights	right	NOUN
ejpam-1920	21	7	reserved	reserve	VERB
ejpam-1920	21	8	.	.	PUNCT
ejpam-1920	22	1	f.	f.	PROPN
ejpam-1920	22	2	zengin	zengin	PROPN
ejpam-1920	22	3	,	,	PUNCT
ejpam-1920	22	4	a.	a.	NOUN
ejpam-1920	22	5	taşcı	taşcı	PROPN
ejpam-1920	22	6	/	/	SYM
ejpam-1920	22	7	eur	eur	PROPN
ejpam-1920	22	8	.	.	PUNCT
ejpam-1920	23	1	j.	j.	PROPN
ejpam-1920	23	2	pure	pure	PROPN
ejpam-1920	23	3	appl	appl	PROPN
ejpam-1920	23	4	.	.	PROPN
ejpam-1920	23	5	math	math	PROPN
ejpam-1920	23	6	,	,	PUNCT
ejpam-1920	23	7	7	7	NUM
ejpam-1920	23	8	(	(	PUNCT
ejpam-1920	23	9	2014	2014	NUM
ejpam-1920	23	10	)	)	PUNCT
ejpam-1920	23	11	,	,	PUNCT
ejpam-1920	23	12	246	246	NUM
ejpam-1920	23	13	-	-	SYM
ejpam-1920	23	14	255	255	NUM
ejpam-1920	23	15	247	247	NUM
ejpam-1920	23	16	almost	almost	ADV
ejpam-1920	23	17	pseudo	pseudo	NOUN
ejpam-1920	23	18	conharmonically	conharmonically	ADV
ejpam-1920	23	19	symmetric	symmetric	ADJ
ejpam-1920	23	20	manifolds	manifold	NOUN
ejpam-1920	23	21	[	[	X
ejpam-1920	23	22	25	25	NUM
ejpam-1920	23	23	]	]	PUNCT
ejpam-1920	23	24	,	,	PUNCT
ejpam-1920	23	25	etc	etc	X
ejpam-1920	23	26	.	.	X
ejpam-1920	24	1	a	a	DET
ejpam-1920	24	2	non	non	ADJ
ejpam-1920	24	3	-	-	ADJ
ejpam-1920	24	4	flat	flat	ADJ
ejpam-1920	24	5	riemannian	riemannian	ADJ
ejpam-1920	24	6	manifold	manifold	NOUN
ejpam-1920	24	7	(	(	PUNCT
ejpam-1920	24	8	m	m	PROPN
ejpam-1920	24	9	,	,	PUNCT
ejpam-1920	24	10	g	g	NOUN
ejpam-1920	24	11	)	)	PUNCT
ejpam-1920	24	12	(	(	PUNCT
ejpam-1920	24	13	n	n	CCONJ
ejpam-1920	24	14	>	>	X
ejpam-1920	24	15	2	2	NUM
ejpam-1920	24	16	)	)	PUNCT
ejpam-1920	24	17	is	be	AUX
ejpam-1920	24	18	said	say	VERB
ejpam-1920	24	19	to	to	PART
ejpam-1920	24	20	be	be	AUX
ejpam-1920	24	21	a	a	DET
ejpam-1920	24	22	pseudo	pseudo	NOUN
ejpam-1920	24	23	symmetric	symmetric	ADJ
ejpam-1920	24	24	manifold	manifold	ADJ
ejpam-1920	24	25	[	[	X
ejpam-1920	24	26	4	4	X
ejpam-1920	24	27	]	]	X
ejpam-1920	24	28	if	if	SCONJ
ejpam-1920	24	29	its	its	PRON
ejpam-1920	24	30	curvature	curvature	NOUN
ejpam-1920	24	31	tensor	tensor	NOUN
ejpam-1920	24	32	r	r	NOUN
ejpam-1920	24	33	satisfies	satisfy	VERB
ejpam-1920	24	34	the	the	DET
ejpam-1920	24	35	condition	condition	NOUN
ejpam-1920	24	36	(	(	PUNCT
ejpam-1920	24	37	∇x	∇x	NOUN
ejpam-1920	24	38	r)(y	r)(y	NOUN
ejpam-1920	24	39	,	,	PUNCT
ejpam-1920	24	40	z)w	z)w	PUNCT
ejpam-1920	25	1	=	=	SYM
ejpam-1920	25	2	2a(x	2a(x	NOUN
ejpam-1920	25	3	)	)	PUNCT
ejpam-1920	25	4	r(y	r(y	VERB
ejpam-1920	25	5	,	,	PUNCT
ejpam-1920	25	6	z)w	z)w	PUNCT
ejpam-1920	26	1	+	+	CCONJ
ejpam-1920	26	2	a(y	a(y	PROPN
ejpam-1920	26	3	)	)	PUNCT
ejpam-1920	26	4	r(x	r(x	PROPN
ejpam-1920	26	5	,	,	PUNCT
ejpam-1920	26	6	z)w	z)w	X
ejpam-1920	27	1	+	+	CCONJ
ejpam-1920	27	2	a(z)r(y	a(z)r(y	VERB
ejpam-1920	27	3	,	,	PUNCT
ejpam-1920	27	4	x	x	SYM
ejpam-1920	27	5	)	)	PUNCT
ejpam-1920	27	6	w	w	PROPN
ejpam-1920	27	7	+	+	PUNCT
ejpam-1920	27	8	a(w	a(w	PROPN
ejpam-1920	27	9	)	)	PUNCT
ejpam-1920	27	10	r(y	r(y	VERB
ejpam-1920	27	11	,	,	PUNCT
ejpam-1920	27	12	z)x	z)x	X
ejpam-1920	27	13	+	+	CCONJ
ejpam-1920	27	14	g(r(y	g(r(y	VERB
ejpam-1920	27	15	,	,	PUNCT
ejpam-1920	27	16	z)w	z)w	ADJ
ejpam-1920	27	17	,	,	PUNCT
ejpam-1920	27	18	x	x	SYM
ejpam-1920	27	19	)	)	PUNCT
ejpam-1920	27	20	ρ	ρ	PROPN
ejpam-1920	27	21	(	(	PUNCT
ejpam-1920	27	22	1	1	NUM
ejpam-1920	27	23	)	)	PUNCT
ejpam-1920	27	24	where	where	SCONJ
ejpam-1920	27	25	a	a	PRON
ejpam-1920	27	26	is	be	AUX
ejpam-1920	27	27	a	a	DET
ejpam-1920	27	28	non	non	ADJ
ejpam-1920	27	29	-	-	ADJ
ejpam-1920	27	30	zero	zero	NUM
ejpam-1920	27	31	1	1	NUM
ejpam-1920	27	32	-	-	PUNCT
ejpam-1920	27	33	form	form	NOUN
ejpam-1920	27	34	,	,	PUNCT
ejpam-1920	27	35	ρ	ρ	PROPN
ejpam-1920	27	36	is	be	AUX
ejpam-1920	27	37	a	a	DET
ejpam-1920	27	38	vector	vector	NOUN
ejpam-1920	27	39	field	field	NOUN
ejpam-1920	27	40	defined	define	VERB
ejpam-1920	27	41	by	by	ADP
ejpam-1920	27	42	g(x	g(x	PROPN
ejpam-1920	27	43	,	,	PUNCT
ejpam-1920	27	44	ρ	ρ	NOUN
ejpam-1920	27	45	)	)	PUNCT
ejpam-1920	27	46	=	=	SYM
ejpam-1920	27	47	a(x	a(x	NOUN
ejpam-1920	27	48	)	)	PUNCT
ejpam-1920	27	49	(	(	PUNCT
ejpam-1920	27	50	2	2	X
ejpam-1920	27	51	)	)	PUNCT
ejpam-1920	27	52	for	for	ADP
ejpam-1920	27	53	all	all	PRON
ejpam-1920	27	54	x	x	SYM
ejpam-1920	27	55	and∇	and∇	PROPN
ejpam-1920	27	56	denotes	denote	VERB
ejpam-1920	27	57	the	the	DET
ejpam-1920	27	58	operator	operator	NOUN
ejpam-1920	27	59	of	of	ADP
ejpam-1920	27	60	the	the	DET
ejpam-1920	27	61	covariant	covariant	ADJ
ejpam-1920	27	62	differentiation	differentiation	NOUN
ejpam-1920	27	63	with	with	ADP
ejpam-1920	27	64	respect	respect	NOUN
ejpam-1920	27	65	to	to	ADP
ejpam-1920	27	66	the	the	DET
ejpam-1920	27	67	metric	metric	ADJ
ejpam-1920	27	68	tensor	tensor	NOUN
ejpam-1920	27	69	g.	g.	NOUN
ejpam-1920	27	70	the	the	DET
ejpam-1920	27	71	1	1	NUM
ejpam-1920	27	72	-	-	PUNCT
ejpam-1920	27	73	form	form	NOUN
ejpam-1920	27	74	a	a	NOUN
ejpam-1920	27	75	is	be	AUX
ejpam-1920	27	76	called	call	VERB
ejpam-1920	27	77	the	the	DET
ejpam-1920	27	78	associated	associated	ADJ
ejpam-1920	27	79	1	1	NUM
ejpam-1920	27	80	-	-	PUNCT
ejpam-1920	27	81	form	form	NOUN
ejpam-1920	27	82	of	of	ADP
ejpam-1920	27	83	the	the	DET
ejpam-1920	27	84	manifold	manifold	NOUN
ejpam-1920	27	85	.	.	PUNCT
ejpam-1920	28	1	if	if	SCONJ
ejpam-1920	28	2	a	a	DET
ejpam-1920	28	3	=	=	SYM
ejpam-1920	28	4	0	0	NUM
ejpam-1920	28	5	,	,	PUNCT
ejpam-1920	28	6	then	then	ADV
ejpam-1920	28	7	the	the	DET
ejpam-1920	28	8	manifold	manifold	ADJ
ejpam-1920	28	9	reduces	reduce	VERB
ejpam-1920	28	10	to	to	ADP
ejpam-1920	28	11	a	a	DET
ejpam-1920	28	12	symmetric	symmetric	ADJ
ejpam-1920	28	13	manifold	manifold	NOUN
ejpam-1920	28	14	in	in	ADP
ejpam-1920	28	15	the	the	DET
ejpam-1920	28	16	sense	sense	NOUN
ejpam-1920	28	17	of	of	ADP
ejpam-1920	28	18	e.cartan	e.cartan	PROPN
ejpam-1920	28	19	.	.	PUNCT
ejpam-1920	29	1	an	an	DET
ejpam-1920	29	2	n	n	ADV
ejpam-1920	29	3	-	-	PUNCT
ejpam-1920	29	4	dimensional	dimensional	ADJ
ejpam-1920	29	5	pseudo	pseudo	NOUN
ejpam-1920	29	6	symmetric	symmetric	ADJ
ejpam-1920	29	7	manifold	manifold	NOUN
ejpam-1920	29	8	is	be	AUX
ejpam-1920	29	9	denoted	denote	VERB
ejpam-1920	29	10	by	by	ADP
ejpam-1920	29	11	(	(	PUNCT
ejpam-1920	29	12	ps)n	ps)n	NOUN
ejpam-1920	29	13	.	.	PUNCT
ejpam-1920	30	1	this	this	PRON
ejpam-1920	30	2	is	be	AUX
ejpam-1920	30	3	to	to	PART
ejpam-1920	30	4	be	be	AUX
ejpam-1920	30	5	noted	note	VERB
ejpam-1920	30	6	that	that	SCONJ
ejpam-1920	30	7	the	the	DET
ejpam-1920	30	8	notion	notion	NOUN
ejpam-1920	30	9	of	of	ADP
ejpam-1920	30	10	pseudo	pseudo	NOUN
ejpam-1920	30	11	symmetric	symmetric	ADJ
ejpam-1920	30	12	manifold	manifold	NOUN
ejpam-1920	30	13	studied	study	VERB
ejpam-1920	30	14	in	in	ADP
ejpam-1920	30	15	particular	particular	ADJ
ejpam-1920	30	16	by	by	ADP
ejpam-1920	30	17	deszcz	deszcz	ADV
ejpam-1920	31	1	[	[	X
ejpam-1920	31	2	10	10	NUM
ejpam-1920	31	3	]	]	PUNCT
ejpam-1920	31	4	is	be	AUX
ejpam-1920	31	5	different	different	ADJ
ejpam-1920	31	6	from	from	ADP
ejpam-1920	31	7	that	that	DET
ejpam-1920	31	8	chaki	chaki	NOUN
ejpam-1920	32	1	[	[	X
ejpam-1920	32	2	4	4	NUM
ejpam-1920	32	3	]	]	PUNCT
ejpam-1920	32	4	.	.	PUNCT
ejpam-1920	33	1	the	the	DET
ejpam-1920	33	2	notion	notion	NOUN
ejpam-1920	33	3	of	of	ADP
ejpam-1920	33	4	weakly	weakly	ADJ
ejpam-1920	33	5	symmetric	symmetric	ADJ
ejpam-1920	33	6	manifolds	manifold	NOUN
ejpam-1920	33	7	was	be	AUX
ejpam-1920	33	8	introduced	introduce	VERB
ejpam-1920	33	9	by	by	ADP
ejpam-1920	33	10	tamassy	tamassy	NOUN
ejpam-1920	33	11	and	and	CCONJ
ejpam-1920	33	12	binh	binh	ADJ
ejpam-1920	33	13	[	[	X
ejpam-1920	33	14	23	23	NUM
ejpam-1920	33	15	]	]	PUNCT
ejpam-1920	33	16	.	.	PUNCT
ejpam-1920	34	1	if	if	SCONJ
ejpam-1920	34	2	the	the	DET
ejpam-1920	34	3	curvature	curvature	NOUN
ejpam-1920	34	4	tensor	tensor	NOUN
ejpam-1920	34	5	r	r	NOUN
ejpam-1920	34	6	of	of	ADP
ejpam-1920	34	7	type	type	NOUN
ejpam-1920	34	8	(	(	PUNCT
ejpam-1920	34	9	1,3	1,3	NUM
ejpam-1920	34	10	)	)	PUNCT
ejpam-1920	34	11	of	of	ADP
ejpam-1920	34	12	an	an	DET
ejpam-1920	34	13	n	n	ADV
ejpam-1920	34	14	-	-	PUNCT
ejpam-1920	34	15	dimensional	dimensional	ADJ
ejpam-1920	34	16	riemannian	riemannian	ADJ
ejpam-1920	34	17	manifold	manifold	NOUN
ejpam-1920	34	18	(	(	PUNCT
ejpam-1920	34	19	n	n	CCONJ
ejpam-1920	34	20	>	>	X
ejpam-1920	34	21	2	2	NUM
ejpam-1920	34	22	)	)	PUNCT
ejpam-1920	34	23	satisfies	satisfy	VERB
ejpam-1920	34	24	the	the	DET
ejpam-1920	34	25	condition	condition	NOUN
ejpam-1920	34	26	(	(	PUNCT
ejpam-1920	34	27	∇x	∇x	NOUN
ejpam-1920	34	28	r)(y	r)(y	NOUN
ejpam-1920	34	29	,	,	PUNCT
ejpam-1920	34	30	z)w	z)w	PUNCT
ejpam-1920	35	1	=	=	SYM
ejpam-1920	35	2	a(x	a(x	NOUN
ejpam-1920	35	3	)	)	PUNCT
ejpam-1920	35	4	r(y	r(y	ADJ
ejpam-1920	35	5	,	,	PUNCT
ejpam-1920	35	6	z)w	z)w	PUNCT
ejpam-1920	35	7	+	+	CCONJ
ejpam-1920	36	1	b(y	b(y	PROPN
ejpam-1920	36	2	)	)	PUNCT
ejpam-1920	36	3	r(x	r(x	PROPN
ejpam-1920	36	4	,	,	PUNCT
ejpam-1920	36	5	z)w	z)w	X
ejpam-1920	37	1	+	+	CCONJ
ejpam-1920	37	2	d(z)r(y	d(z)r(y	ADJ
ejpam-1920	37	3	,	,	PUNCT
ejpam-1920	37	4	x	x	X
ejpam-1920	37	5	)	)	PUNCT
ejpam-1920	37	6	w	w	PROPN
ejpam-1920	37	7	+	+	CCONJ
ejpam-1920	37	8	e(w	e(w	ADJ
ejpam-1920	37	9	)	)	PUNCT
ejpam-1920	37	10	r(y	r(y	VERB
ejpam-1920	37	11	,	,	PUNCT
ejpam-1920	37	12	z)x	z)x	X
ejpam-1920	37	13	+	+	CCONJ
ejpam-1920	37	14	g(r(y	g(r(y	VERB
ejpam-1920	37	15	,	,	PUNCT
ejpam-1920	37	16	z)w	z)w	ADJ
ejpam-1920	37	17	,	,	PUNCT
ejpam-1920	37	18	x	x	SYM
ejpam-1920	37	19	)	)	PUNCT
ejpam-1920	37	20	ρ	ρ	PROPN
ejpam-1920	37	21	(	(	PUNCT
ejpam-1920	37	22	3	3	NUM
ejpam-1920	37	23	)	)	PUNCT
ejpam-1920	37	24	where	where	SCONJ
ejpam-1920	37	25	∇	∇	PROPN
ejpam-1920	37	26	denotes	denote	VERB
ejpam-1920	37	27	the	the	DET
ejpam-1920	37	28	levi	levi	PROPN
ejpam-1920	37	29	-	-	PUNCT
ejpam-1920	37	30	civita	civita	PROPN
ejpam-1920	37	31	connection	connection	NOUN
ejpam-1920	37	32	on	on	ADP
ejpam-1920	37	33	(	(	PUNCT
ejpam-1920	37	34	m	m	PROPN
ejpam-1920	37	35	,	,	PUNCT
ejpam-1920	37	36	g	g	NOUN
ejpam-1920	37	37	)	)	PUNCT
ejpam-1920	37	38	and	and	CCONJ
ejpam-1920	37	39	a	a	DET
ejpam-1920	37	40	,	,	PUNCT
ejpam-1920	37	41	b	b	NOUN
ejpam-1920	37	42	,	,	PUNCT
ejpam-1920	37	43	d	d	NOUN
ejpam-1920	37	44	,	,	PUNCT
ejpam-1920	37	45	e	e	NOUN
ejpam-1920	37	46	and	and	CCONJ
ejpam-1920	37	47	ρ	ρ	PROPN
ejpam-1920	37	48	are	be	AUX
ejpam-1920	37	49	1	1	NUM
ejpam-1920	37	50	-	-	PUNCT
ejpam-1920	37	51	forms	form	NOUN
ejpam-1920	37	52	and	and	CCONJ
ejpam-1920	37	53	a	a	DET
ejpam-1920	37	54	vector	vector	NOUN
ejpam-1920	37	55	field	field	NOUN
ejpam-1920	37	56	respectively	respectively	ADV
ejpam-1920	37	57	,	,	PUNCT
ejpam-1920	37	58	which	which	PRON
ejpam-1920	37	59	are	be	AUX
ejpam-1920	37	60	non	non	ADJ
ejpam-1920	37	61	-	-	ADJ
ejpam-1920	37	62	zero	zero	NUM
ejpam-1920	37	63	simultaneously	simultaneously	ADV
ejpam-1920	37	64	,	,	PUNCT
ejpam-1920	37	65	then	then	ADV
ejpam-1920	37	66	this	this	DET
ejpam-1920	37	67	manifold	manifold	NOUN
ejpam-1920	37	68	is	be	AUX
ejpam-1920	37	69	denoted	denote	VERB
ejpam-1920	37	70	by	by	ADP
ejpam-1920	37	71	(	(	PUNCT
ejpam-1920	37	72	ws)n	ws)n	VERB
ejpam-1920	37	73	.	.	PUNCT
ejpam-1920	38	1	many	many	ADJ
ejpam-1920	38	2	authors	author	NOUN
ejpam-1920	38	3	have	have	AUX
ejpam-1920	38	4	been	be	AUX
ejpam-1920	38	5	studied	study	VERB
ejpam-1920	38	6	weakly	weakly	ADJ
ejpam-1920	38	7	symmetric	symmetric	ADJ
ejpam-1920	38	8	manifolds	manifold	NOUN
ejpam-1920	38	9	[	[	X
ejpam-1920	38	10	6	6	NUM
ejpam-1920	38	11	,	,	PUNCT
ejpam-1920	38	12	7	7	NUM
ejpam-1920	38	13	,	,	PUNCT
ejpam-1920	38	14	11	11	NUM
ejpam-1920	38	15	,	,	PUNCT
ejpam-1920	38	16	16	16	NUM
ejpam-1920	38	17	,	,	PUNCT
ejpam-1920	38	18	17	17	NUM
ejpam-1920	38	19	]	]	PUNCT
ejpam-1920	38	20	,	,	PUNCT
ejpam-1920	38	21	etc	etc	X
ejpam-1920	38	22	.	.	X
ejpam-1920	38	23	conformal	conformal	ADJ
ejpam-1920	38	24	transformation	transformation	NOUN
ejpam-1920	38	25	of	of	ADP
ejpam-1920	38	26	a	a	DET
ejpam-1920	38	27	riemannian	riemannian	ADJ
ejpam-1920	38	28	structure	structure	NOUN
ejpam-1920	38	29	is	be	AUX
ejpam-1920	38	30	an	an	DET
ejpam-1920	38	31	important	important	ADJ
ejpam-1920	38	32	object	object	NOUN
ejpam-1920	38	33	of	of	ADP
ejpam-1920	38	34	study	study	NOUN
ejpam-1920	38	35	in	in	ADP
ejpam-1920	38	36	differential	differential	ADJ
ejpam-1920	38	37	geometry	geometry	NOUN
ejpam-1920	38	38	.	.	PUNCT
ejpam-1920	39	1	the	the	DET
ejpam-1920	39	2	conharmonic	conharmonic	ADJ
ejpam-1920	39	3	transformation	transformation	NOUN
ejpam-1920	39	4	which	which	PRON
ejpam-1920	39	5	is	be	AUX
ejpam-1920	39	6	a	a	DET
ejpam-1920	39	7	special	special	ADJ
ejpam-1920	39	8	type	type	NOUN
ejpam-1920	39	9	of	of	ADP
ejpam-1920	39	10	conformal	conformal	ADJ
ejpam-1920	39	11	transformations	transformation	NOUN
ejpam-1920	39	12	preserves	preserve	VERB
ejpam-1920	39	13	the	the	DET
ejpam-1920	39	14	harmonicity	harmonicity	NOUN
ejpam-1920	39	15	of	of	ADP
ejpam-1920	39	16	smooth	smooth	ADJ
ejpam-1920	39	17	functions	function	NOUN
ejpam-1920	39	18	.	.	PUNCT
ejpam-1920	40	1	such	such	ADJ
ejpam-1920	40	2	transformation	transformation	NOUN
ejpam-1920	40	3	has	have	VERB
ejpam-1920	40	4	an	an	DET
ejpam-1920	40	5	invariant	invariant	ADJ
ejpam-1920	40	6	tensor	tensor	NOUN
ejpam-1920	40	7	which	which	PRON
ejpam-1920	40	8	is	be	AUX
ejpam-1920	40	9	called	call	VERB
ejpam-1920	40	10	the	the	DET
ejpam-1920	40	11	conharmonic	conharmonic	ADJ
ejpam-1920	40	12	curvature	curvature	NOUN
ejpam-1920	40	13	tensor	tensor	NOUN
ejpam-1920	40	14	.	.	PUNCT
ejpam-1920	41	1	it	it	PRON
ejpam-1920	41	2	is	be	AUX
ejpam-1920	41	3	easy	easy	ADJ
ejpam-1920	41	4	to	to	PART
ejpam-1920	41	5	verify	verify	VERB
ejpam-1920	41	6	that	that	SCONJ
ejpam-1920	41	7	this	this	DET
ejpam-1920	41	8	tensor	tensor	NOUN
ejpam-1920	41	9	is	be	AUX
ejpam-1920	41	10	an	an	DET
ejpam-1920	41	11	algebraic	algebraic	ADJ
ejpam-1920	41	12	curvature	curvature	NOUN
ejpam-1920	41	13	tensor	tensor	NOUN
ejpam-1920	41	14	,	,	PUNCT
ejpam-1920	41	15	that	that	ADV
ejpam-1920	41	16	is	is	ADV
ejpam-1920	41	17	,	,	PUNCT
ejpam-1920	41	18	it	it	PRON
ejpam-1920	41	19	possesses	possess	VERB
ejpam-1920	41	20	the	the	DET
ejpam-1920	41	21	classical	classical	ADJ
ejpam-1920	41	22	symmetry	symmetry	NOUN
ejpam-1920	41	23	properties	property	NOUN
ejpam-1920	41	24	of	of	ADP
ejpam-1920	41	25	the	the	DET
ejpam-1920	41	26	riemannian	riemannian	ADJ
ejpam-1920	41	27	curvature	curvature	NOUN
ejpam-1920	41	28	tensor	tensor	NOUN
ejpam-1920	41	29	.	.	PUNCT
ejpam-1920	42	1	let	let	VERB
ejpam-1920	42	2	m	m	PRON
ejpam-1920	42	3	and	and	CCONJ
ejpam-1920	42	4	n	n	CCONJ
ejpam-1920	42	5	be	be	AUX
ejpam-1920	42	6	two	two	NUM
ejpam-1920	42	7	riemannian	riemannian	ADJ
ejpam-1920	42	8	manifolds	manifold	NOUN
ejpam-1920	42	9	with	with	ADP
ejpam-1920	42	10	the	the	DET
ejpam-1920	42	11	metrics	metric	NOUN
ejpam-1920	42	12	g	g	NOUN
ejpam-1920	42	13	and	and	CCONJ
ejpam-1920	42	14	g	g	NOUN
ejpam-1920	42	15	,	,	PUNCT
ejpam-1920	42	16	respectively	respectively	ADV
ejpam-1920	42	17	related	relate	VERB
ejpam-1920	42	18	by	by	ADP
ejpam-1920	42	19	ḡ	ḡ	VERB
ejpam-1920	42	20	=	=	SYM
ejpam-1920	42	21	e2σg	e2σg	X
ejpam-1920	42	22	(	(	PUNCT
ejpam-1920	42	23	4	4	X
ejpam-1920	42	24	)	)	PUNCT
ejpam-1920	42	25	where	where	SCONJ
ejpam-1920	42	26	σ	σ	PROPN
ejpam-1920	42	27	is	be	AUX
ejpam-1920	42	28	a	a	DET
ejpam-1920	42	29	real	real	ADJ
ejpam-1920	42	30	function	function	NOUN
ejpam-1920	42	31	.	.	PUNCT
ejpam-1920	43	1	then	then	ADV
ejpam-1920	43	2	m	m	PROPN
ejpam-1920	43	3	and	and	CCONJ
ejpam-1920	43	4	n	n	PROPN
ejpam-1920	43	5	are	be	AUX
ejpam-1920	43	6	called	call	VERB
ejpam-1920	43	7	conformally	conformally	ADV
ejpam-1920	43	8	related	relate	VERB
ejpam-1920	43	9	manifolds	manifold	NOUN
ejpam-1920	43	10	,	,	PUNCT
ejpam-1920	43	11	and	and	CCONJ
ejpam-1920	43	12	the	the	DET
ejpam-1920	43	13	correspondence	correspondence	NOUN
ejpam-1920	43	14	m	m	PROPN
ejpam-1920	43	15	and	and	CCONJ
ejpam-1920	43	16	n	n	PROPN
ejpam-1920	43	17	is	be	AUX
ejpam-1920	43	18	known	know	VERB
ejpam-1920	43	19	as	as	ADP
ejpam-1920	43	20	conformal	conformal	ADJ
ejpam-1920	43	21	transformation	transformation	NOUN
ejpam-1920	44	1	[	[	X
ejpam-1920	44	2	20	20	NUM
ejpam-1920	44	3	]	]	PUNCT
ejpam-1920	44	4	.	.	PUNCT
ejpam-1920	45	1	it	it	PRON
ejpam-1920	45	2	is	be	AUX
ejpam-1920	45	3	known	know	VERB
ejpam-1920	45	4	that	that	SCONJ
ejpam-1920	45	5	a	a	DET
ejpam-1920	45	6	harmonic	harmonic	ADJ
ejpam-1920	45	7	function	function	NOUN
ejpam-1920	45	8	is	be	AUX
ejpam-1920	45	9	defined	define	VERB
ejpam-1920	45	10	as	as	ADP
ejpam-1920	45	11	a	a	DET
ejpam-1920	45	12	function	function	NOUN
ejpam-1920	45	13	whose	whose	DET
ejpam-1920	45	14	laplacian	laplacian	ADJ
ejpam-1920	45	15	vanishes	vanish	VERB
ejpam-1920	45	16	.	.	PUNCT
ejpam-1920	46	1	in	in	ADP
ejpam-1920	46	2	generally	generally	ADV
ejpam-1920	46	3	,	,	PUNCT
ejpam-1920	46	4	the	the	DET
ejpam-1920	46	5	harmonic	harmonic	ADJ
ejpam-1920	46	6	function	function	NOUN
ejpam-1920	46	7	is	be	AUX
ejpam-1920	46	8	not	not	PART
ejpam-1920	46	9	invariant	invariant	ADJ
ejpam-1920	46	10	.	.	PUNCT
ejpam-1920	47	1	in	in	ADP
ejpam-1920	47	2	1957	1957	NUM
ejpam-1920	47	3	,	,	PUNCT
ejpam-1920	47	4	ishii	ishii	PROPN
ejpam-1920	47	5	obtained	obtain	VERB
ejpam-1920	47	6	the	the	DET
ejpam-1920	47	7	conditions	condition	NOUN
ejpam-1920	47	8	at	at	ADP
ejpam-1920	47	9	which	which	PRON
ejpam-1920	47	10	a	a	DET
ejpam-1920	47	11	harmonic	harmonic	ADJ
ejpam-1920	47	12	function	function	NOUN
ejpam-1920	47	13	remains	remain	VERB
ejpam-1920	47	14	invariant	invariant	ADJ
ejpam-1920	47	15	and	and	CCONJ
ejpam-1920	47	16	he	he	PRON
ejpam-1920	47	17	introduced	introduce	VERB
ejpam-1920	47	18	the	the	DET
ejpam-1920	47	19	conharmonic	conharmonic	ADJ
ejpam-1920	47	20	transformation	transformation	NOUN
ejpam-1920	47	21	as	as	ADP
ejpam-1920	47	22	a	a	DET
ejpam-1920	47	23	subgroup	subgroup	NOUN
ejpam-1920	47	24	of	of	ADP
ejpam-1920	47	25	the	the	DET
ejpam-1920	47	26	conformal	conformal	ADJ
ejpam-1920	47	27	transformation	transformation	NOUN
ejpam-1920	47	28	(	(	PUNCT
ejpam-1920	47	29	4	4	X
ejpam-1920	47	30	)	)	PUNCT
ejpam-1920	47	31	satisfying	satisfy	VERB
ejpam-1920	47	32	the	the	DET
ejpam-1920	47	33	condition	condition	NOUN
ejpam-1920	47	34	σh	σh	ADP
ejpam-1920	47	35	,	,	PUNCT
ejpam-1920	47	36	h	h	PROPN
ejpam-1920	48	1	+	+	NOUN
ejpam-1920	48	2	σ	σ	PROPN
ejpam-1920	48	3	,	,	PUNCT
ejpam-1920	48	4	hσ	hσ	NOUN
ejpam-1920	48	5	h	h	NOUN
ejpam-1920	48	6	,	,	PUNCT
ejpam-1920	48	7	=	=	SYM
ejpam-1920	48	8	0	0	NUM
ejpam-1920	48	9	(	(	PUNCT
ejpam-1920	48	10	5	5	NUM
ejpam-1920	48	11	)	)	PUNCT
ejpam-1920	48	12	f.	f.	NOUN
ejpam-1920	48	13	zengin	zengin	NOUN
ejpam-1920	48	14	,	,	PUNCT
ejpam-1920	48	15	a.	a.	NOUN
ejpam-1920	48	16	taşcı	taşcı	PROPN
ejpam-1920	48	17	/	/	SYM
ejpam-1920	48	18	eur	eur	PROPN
ejpam-1920	48	19	.	.	PUNCT
ejpam-1920	49	1	j.	j.	PROPN
ejpam-1920	49	2	pure	pure	PROPN
ejpam-1920	49	3	appl	appl	PROPN
ejpam-1920	49	4	.	.	PROPN
ejpam-1920	49	5	math	math	PROPN
ejpam-1920	49	6	,	,	PUNCT
ejpam-1920	49	7	7	7	NUM
ejpam-1920	49	8	(	(	PUNCT
ejpam-1920	49	9	2014	2014	NUM
ejpam-1920	49	10	)	)	PUNCT
ejpam-1920	49	11	,	,	PUNCT
ejpam-1920	49	12	246	246	NUM
ejpam-1920	49	13	-	-	SYM
ejpam-1920	49	14	255	255	NUM
ejpam-1920	49	15	248	248	NUM
ejpam-1920	49	16	where	where	SCONJ
ejpam-1920	49	17	comma	comma	PROPN
ejpam-1920	49	18	denotes	denote	VERB
ejpam-1920	49	19	the	the	DET
ejpam-1920	49	20	covariant	covariant	ADJ
ejpam-1920	49	21	differentiation	differentiation	NOUN
ejpam-1920	49	22	with	with	ADP
ejpam-1920	49	23	respect	respect	NOUN
ejpam-1920	49	24	to	to	ADP
ejpam-1920	49	25	the	the	DET
ejpam-1920	49	26	metric	metric	ADJ
ejpam-1920	49	27	g.	g.	PROPN
ejpam-1920	49	28	a	a	DET
ejpam-1920	49	29	rank	rank	NOUN
ejpam-1920	49	30	-	-	PUNCT
ejpam-1920	49	31	four	four	NUM
ejpam-1920	49	32	tensor	tensor	NOUN
ejpam-1920	49	33	h	h	NOUN
ejpam-1920	49	34	that	that	PRON
ejpam-1920	49	35	remains	remain	VERB
ejpam-1920	49	36	invariant	invariant	ADJ
ejpam-1920	49	37	under	under	ADP
ejpam-1920	49	38	conharmonic	conharmonic	ADJ
ejpam-1920	49	39	transformation	transformation	NOUN
ejpam-1920	49	40	of	of	ADP
ejpam-1920	49	41	a	a	DET
ejpam-1920	49	42	riemannian	riemannian	ADJ
ejpam-1920	49	43	manifold	manifold	NOUN
ejpam-1920	49	44	(	(	PUNCT
ejpam-1920	49	45	m	m	PROPN
ejpam-1920	49	46	,	,	PUNCT
ejpam-1920	49	47	g	g	NOUN
ejpam-1920	49	48	)	)	PUNCT
ejpam-1920	49	49	is	be	AUX
ejpam-1920	49	50	given	give	VERB
ejpam-1920	49	51	by	by	ADP
ejpam-1920	49	52	h(x	h(x	PROPN
ejpam-1920	49	53	,	,	PUNCT
ejpam-1920	49	54	y	y	PROPN
ejpam-1920	49	55	,	,	PUNCT
ejpam-1920	49	56	z	z	NOUN
ejpam-1920	49	57	,	,	PUNCT
ejpam-1920	49	58	u	u	NOUN
ejpam-1920	49	59	)	)	PUNCT
ejpam-1920	49	60	=	=	NOUN
ejpam-1920	49	61	r(x	r(x	PROPN
ejpam-1920	49	62	,	,	PUNCT
ejpam-1920	49	63	y	y	PROPN
ejpam-1920	49	64	,	,	PUNCT
ejpam-1920	49	65	z	z	NOUN
ejpam-1920	49	66	,	,	PUNCT
ejpam-1920	49	67	u)−	u)−	PROPN
ejpam-1920	49	68	1	1	NUM
ejpam-1920	49	69	n−	n−	NOUN
ejpam-1920	49	70	2	2	NUM
ejpam-1920	49	71	[	[	X
ejpam-1920	49	72	g(y	g(y	X
ejpam-1920	49	73	,	,	PUNCT
ejpam-1920	49	74	z)s(x	z)s(x	NOUN
ejpam-1920	49	75	,	,	PUNCT
ejpam-1920	49	76	u)−	u)−	PROPN
ejpam-1920	49	77	g(x	g(x	PROPN
ejpam-1920	49	78	,	,	PUNCT
ejpam-1920	49	79	z)s(y	z)s(y	NOUN
ejpam-1920	49	80	,	,	PUNCT
ejpam-1920	49	81	u	u	NOUN
ejpam-1920	49	82	)	)	PUNCT
ejpam-1920	49	83	+	+	CCONJ
ejpam-1920	49	84	g(x	g(x	PROPN
ejpam-1920	49	85	,	,	PUNCT
ejpam-1920	49	86	u)s(y	u)s(y	ADJ
ejpam-1920	49	87	,	,	PUNCT
ejpam-1920	49	88	z)−	z)−	PROPN
ejpam-1920	49	89	g(y	g(y	PROPN
ejpam-1920	49	90	,	,	PUNCT
ejpam-1920	49	91	u)s(x	u)s(x	NOUN
ejpam-1920	49	92	,	,	PUNCT
ejpam-1920	49	93	z	z	NOUN
ejpam-1920	49	94	)	)	PUNCT
ejpam-1920	49	95	]	]	PUNCT
ejpam-1920	50	1	(	(	PUNCT
ejpam-1920	50	2	6	6	NUM
ejpam-1920	50	3	)	)	PUNCT
ejpam-1920	50	4	where	where	SCONJ
ejpam-1920	50	5	r	r	NOUN
ejpam-1920	50	6	and	and	CCONJ
ejpam-1920	50	7	s	s	NOUN
ejpam-1920	50	8	denote	denote	VERB
ejpam-1920	50	9	the	the	DET
ejpam-1920	50	10	riemannian	riemannian	ADJ
ejpam-1920	50	11	curvature	curvature	NOUN
ejpam-1920	50	12	tensor	tensor	NOUN
ejpam-1920	50	13	of	of	ADP
ejpam-1920	50	14	type	type	NOUN
ejpam-1920	50	15	(	(	PUNCT
ejpam-1920	50	16	0,4	0,4	NOUN
ejpam-1920	50	17	)	)	PUNCT
ejpam-1920	50	18	defined	define	VERB
ejpam-1920	50	19	by	by	ADP
ejpam-1920	50	20	r(x	r(x	PROPN
ejpam-1920	50	21	,	,	PUNCT
ejpam-1920	50	22	y	y	PROPN
ejpam-1920	50	23	,	,	PUNCT
ejpam-1920	50	24	z	z	NOUN
ejpam-1920	50	25	,	,	PUNCT
ejpam-1920	50	26	u	u	NOUN
ejpam-1920	50	27	)	)	PUNCT
ejpam-1920	50	28	=	=	SYM
ejpam-1920	50	29	g(r(x	g(r(x	PROPN
ejpam-1920	50	30	,	,	PUNCT
ejpam-1920	50	31	y	y	PROPN
ejpam-1920	50	32	)	)	PUNCT
ejpam-1920	50	33	z	z	NOUN
ejpam-1920	50	34	,	,	PUNCT
ejpam-1920	50	35	u	u	NOUN
ejpam-1920	50	36	)	)	PUNCT
ejpam-1920	50	37	and	and	CCONJ
ejpam-1920	50	38	the	the	DET
ejpam-1920	50	39	ricci	ricci	PROPN
ejpam-1920	50	40	tensor	tensor	NOUN
ejpam-1920	50	41	of	of	ADP
ejpam-1920	50	42	type	type	NOUN
ejpam-1920	50	43	(	(	PUNCT
ejpam-1920	50	44	0,2	0,2	NUM
ejpam-1920	50	45	)	)	PUNCT
ejpam-1920	50	46	,	,	PUNCT
ejpam-1920	50	47	respectively	respectively	ADV
ejpam-1920	50	48	.	.	PUNCT
ejpam-1920	51	1	the	the	DET
ejpam-1920	51	2	curvature	curvature	NOUN
ejpam-1920	51	3	tensor	tensor	NOUN
ejpam-1920	51	4	defined	define	VERB
ejpam-1920	51	5	by	by	ADP
ejpam-1920	51	6	(	(	PUNCT
ejpam-1920	51	7	6	6	NUM
ejpam-1920	51	8	)	)	PUNCT
ejpam-1920	51	9	is	be	AUX
ejpam-1920	51	10	known	know	VERB
ejpam-1920	51	11	as	as	ADP
ejpam-1920	51	12	conharmonic	conharmonic	ADJ
ejpam-1920	51	13	curvature	curvature	NOUN
ejpam-1920	51	14	tensor	tensor	NOUN
ejpam-1920	51	15	.	.	PUNCT
ejpam-1920	52	1	a	a	DET
ejpam-1920	52	2	manifold	manifold	ADJ
ejpam-1920	52	3	whose	whose	DET
ejpam-1920	52	4	conharmonic	conharmonic	ADJ
ejpam-1920	52	5	curvature	curvature	NOUN
ejpam-1920	52	6	tensor	tensor	NOUN
ejpam-1920	52	7	vanishes	vanish	VERB
ejpam-1920	52	8	at	at	ADP
ejpam-1920	52	9	every	every	DET
ejpam-1920	52	10	point	point	NOUN
ejpam-1920	52	11	of	of	ADP
ejpam-1920	52	12	the	the	DET
ejpam-1920	52	13	manifold	manifold	NOUN
ejpam-1920	52	14	is	be	AUX
ejpam-1920	52	15	called	call	VERB
ejpam-1920	52	16	conharmonically	conharmonically	ADV
ejpam-1920	52	17	flat	flat	ADJ
ejpam-1920	52	18	.	.	PUNCT
ejpam-1920	53	1	thus	thus	ADV
ejpam-1920	53	2	,	,	PUNCT
ejpam-1920	53	3	this	this	DET
ejpam-1920	53	4	tensor	tensor	NOUN
ejpam-1920	53	5	represents	represent	VERB
ejpam-1920	53	6	the	the	DET
ejpam-1920	53	7	deviation	deviation	NOUN
ejpam-1920	53	8	of	of	ADP
ejpam-1920	53	9	the	the	DET
ejpam-1920	53	10	manifold	manifold	NOUN
ejpam-1920	53	11	from	from	ADP
ejpam-1920	53	12	conharmonic	conharmonic	ADJ
ejpam-1920	53	13	flatness	flatness	NOUN
ejpam-1920	53	14	.	.	PUNCT
ejpam-1920	54	1	many	many	ADJ
ejpam-1920	54	2	authors	author	NOUN
ejpam-1920	54	3	have	have	AUX
ejpam-1920	54	4	been	be	AUX
ejpam-1920	54	5	studied	study	VERB
ejpam-1920	54	6	the	the	DET
ejpam-1920	54	7	conharmonic	conharmonic	ADJ
ejpam-1920	54	8	curvature	curvature	NOUN
ejpam-1920	54	9	tensor	tensor	NOUN
ejpam-1920	54	10	[	[	NOUN
ejpam-1920	54	11	1	1	NUM
ejpam-1920	54	12	,	,	PUNCT
ejpam-1920	54	13	20	20	NUM
ejpam-1920	54	14	]	]	PUNCT
ejpam-1920	54	15	.	.	PUNCT
ejpam-1920	55	1	the	the	DET
ejpam-1920	55	2	present	present	ADJ
ejpam-1920	55	3	paper	paper	NOUN
ejpam-1920	55	4	deals	deal	NOUN
ejpam-1920	55	5	with	with	ADP
ejpam-1920	55	6	an	an	DET
ejpam-1920	55	7	n	n	ADV
ejpam-1920	55	8	-	-	PUNCT
ejpam-1920	55	9	dimensional	dimensional	ADJ
ejpam-1920	55	10	pseudo	pseudo	NOUN
ejpam-1920	55	11	conharmonically	conharmonically	ADV
ejpam-1920	55	12	symmetric	symmetric	ADJ
ejpam-1920	55	13	riemannian	riemannian	ADJ
ejpam-1920	55	14	manifold	manifold	NOUN
ejpam-1920	55	15	(	(	PUNCT
ejpam-1920	55	16	m	m	PROPN
ejpam-1920	55	17	,	,	PUNCT
ejpam-1920	55	18	g	g	NOUN
ejpam-1920	55	19	)	)	PUNCT
ejpam-1920	55	20	(	(	PUNCT
ejpam-1920	55	21	nonconharmonically	nonconharmonically	ADV
ejpam-1920	55	22	flat	flat	ADJ
ejpam-1920	55	23	)	)	PUNCT
ejpam-1920	55	24	whose	whose	DET
ejpam-1920	55	25	conharmonic	conharmonic	ADJ
ejpam-1920	55	26	curvature	curvature	NOUN
ejpam-1920	55	27	tensor	tensor	NOUN
ejpam-1920	55	28	h	h	NOUN
ejpam-1920	55	29	satisfies	satisfy	VERB
ejpam-1920	55	30	the	the	DET
ejpam-1920	55	31	condition	condition	NOUN
ejpam-1920	55	32	(	(	PUNCT
ejpam-1920	55	33	∇x	∇x	PROPN
ejpam-1920	55	34	h)(y	h)(y	PROPN
ejpam-1920	55	35	,	,	PUNCT
ejpam-1920	55	36	z	z	NOUN
ejpam-1920	55	37	,	,	PUNCT
ejpam-1920	55	38	u	u	PROPN
ejpam-1920	55	39	,	,	PUNCT
ejpam-1920	55	40	v	v	NOUN
ejpam-1920	55	41	)	)	PUNCT
ejpam-1920	55	42	=	=	NOUN
ejpam-1920	55	43	2a(x	2a(x	NOUN
ejpam-1920	55	44	)	)	PUNCT
ejpam-1920	55	45	h(y	h(y	ADV
ejpam-1920	55	46	,	,	PUNCT
ejpam-1920	55	47	z	z	NOUN
ejpam-1920	55	48	,	,	PUNCT
ejpam-1920	55	49	u	u	NOUN
ejpam-1920	55	50	,	,	PUNCT
ejpam-1920	55	51	v	v	NOUN
ejpam-1920	55	52	)	)	PUNCT
ejpam-1920	56	1	+	+	CCONJ
ejpam-1920	56	2	a(y	a(y	PROPN
ejpam-1920	56	3	)	)	PUNCT
ejpam-1920	56	4	h(x	h(x	PROPN
ejpam-1920	56	5	,	,	PUNCT
ejpam-1920	56	6	z	z	PROPN
ejpam-1920	56	7	,	,	PUNCT
ejpam-1920	56	8	u	u	NOUN
ejpam-1920	56	9	,	,	PUNCT
ejpam-1920	56	10	v	v	NOUN
ejpam-1920	56	11	)	)	PUNCT
ejpam-1920	56	12	+	+	CCONJ
ejpam-1920	56	13	a(z)h(y	a(z)h(y	X
ejpam-1920	56	14	,	,	PUNCT
ejpam-1920	56	15	x	x	SYM
ejpam-1920	56	16	,	,	PUNCT
ejpam-1920	56	17	u	u	NOUN
ejpam-1920	56	18	,	,	PUNCT
ejpam-1920	56	19	v	v	NOUN
ejpam-1920	56	20	)	)	PUNCT
ejpam-1920	56	21	+	+	CCONJ
ejpam-1920	56	22	a(u)h(y	a(u)h(y	NUM
ejpam-1920	56	23	,	,	PUNCT
ejpam-1920	56	24	z	z	NOUN
ejpam-1920	56	25	,	,	PUNCT
ejpam-1920	56	26	x	x	X
ejpam-1920	56	27	,	,	PUNCT
ejpam-1920	56	28	v	v	NOUN
ejpam-1920	56	29	)	)	PUNCT
ejpam-1920	56	30	+	+	PROPN
ejpam-1920	57	1	a(v	a(v	NOUN
ejpam-1920	57	2	)	)	PUNCT
ejpam-1920	57	3	h(y	h(y	ADV
ejpam-1920	57	4	,	,	PUNCT
ejpam-1920	57	5	z	z	NOUN
ejpam-1920	57	6	,	,	PUNCT
ejpam-1920	57	7	u	u	NOUN
ejpam-1920	57	8	,	,	PUNCT
ejpam-1920	57	9	x	x	X
ejpam-1920	57	10	)	)	PUNCT
ejpam-1920	57	11	(	(	PUNCT
ejpam-1920	57	12	7	7	X
ejpam-1920	57	13	)	)	PUNCT
ejpam-1920	57	14	where	where	SCONJ
ejpam-1920	57	15	a	a	PRON
ejpam-1920	57	16	has	have	VERB
ejpam-1920	57	17	the	the	DET
ejpam-1920	57	18	meaning	meaning	NOUN
ejpam-1920	57	19	already	already	ADV
ejpam-1920	57	20	mentioned	mention	VERB
ejpam-1920	57	21	in	in	ADP
ejpam-1920	57	22	(	(	PUNCT
ejpam-1920	57	23	2	2	NUM
ejpam-1920	57	24	)	)	PUNCT
ejpam-1920	57	25	.	.	PUNCT
ejpam-1920	58	1	such	such	DET
ejpam-1920	58	2	a	a	DET
ejpam-1920	58	3	manifold	manifold	NOUN
ejpam-1920	58	4	is	be	AUX
ejpam-1920	58	5	called	call	VERB
ejpam-1920	58	6	a	a	DET
ejpam-1920	58	7	pseudo	pseudo	NOUN
ejpam-1920	58	8	conharmonically	conharmonically	ADV
ejpam-1920	58	9	symmetric	symmetric	ADJ
ejpam-1920	58	10	manifold	manifold	ADJ
ejpam-1920	58	11	[	[	X
ejpam-1920	58	12	4	4	NUM
ejpam-1920	58	13	]	]	PUNCT
ejpam-1920	58	14	and	and	CCONJ
ejpam-1920	58	15	denoted	denote	VERB
ejpam-1920	58	16	by	by	ADP
ejpam-1920	58	17	(	(	PUNCT
ejpam-1920	58	18	pchs)n	pchs)n	PROPN
ejpam-1920	58	19	.	.	PUNCT
ejpam-1920	59	1	since	since	SCONJ
ejpam-1920	59	2	the	the	DET
ejpam-1920	59	3	conformal	conformal	ADJ
ejpam-1920	59	4	curvature	curvature	NOUN
ejpam-1920	59	5	tensor	tensor	NOUN
ejpam-1920	59	6	vanishes	vanish	VERB
ejpam-1920	59	7	identically	identically	ADV
ejpam-1920	59	8	for	for	ADP
ejpam-1920	59	9	n	n	NOUN
ejpam-1920	59	10	=	=	SYM
ejpam-1920	59	11	3	3	NUM
ejpam-1920	59	12	,	,	PUNCT
ejpam-1920	59	13	we	we	PRON
ejpam-1920	59	14	assume	assume	VERB
ejpam-1920	59	15	that	that	SCONJ
ejpam-1920	59	16	n	n	X
ejpam-1920	59	17	>	>	X
ejpam-1920	59	18	3	3	NUM
ejpam-1920	59	19	throughout	throughout	ADP
ejpam-1920	59	20	the	the	DET
ejpam-1920	59	21	paper	paper	NOUN
ejpam-1920	59	22	.	.	PUNCT
ejpam-1920	60	1	this	this	DET
ejpam-1920	60	2	paper	paper	NOUN
ejpam-1920	60	3	is	be	AUX
ejpam-1920	60	4	organized	organize	VERB
ejpam-1920	60	5	as	as	SCONJ
ejpam-1920	60	6	follows	follow	VERB
ejpam-1920	60	7	:	:	PUNCT
ejpam-1920	60	8	section	section	NOUN
ejpam-1920	60	9	2	2	NUM
ejpam-1920	60	10	deals	deal	NOUN
ejpam-1920	60	11	with	with	ADP
ejpam-1920	60	12	some	some	DET
ejpam-1920	60	13	properties	property	NOUN
ejpam-1920	60	14	of	of	ADP
ejpam-1920	60	15	(	(	PUNCT
ejpam-1920	60	16	pchs)n	pchs)n	PROPN
ejpam-1920	60	17	.	.	PUNCT
ejpam-1920	61	1	considering	consider	VERB
ejpam-1920	61	2	special	special	ADJ
ejpam-1920	61	3	case	case	NOUN
ejpam-1920	61	4	of	of	ADP
ejpam-1920	61	5	conharmonic	conharmonic	ADJ
ejpam-1920	61	6	curvature	curvature	NOUN
ejpam-1920	61	7	tensor	tensor	NOUN
ejpam-1920	61	8	of	of	ADP
ejpam-1920	61	9	this	this	DET
ejpam-1920	61	10	manifold	manifold	NOUN
ejpam-1920	61	11	,	,	PUNCT
ejpam-1920	61	12	some	some	DET
ejpam-1920	61	13	theorems	theorem	NOUN
ejpam-1920	61	14	are	be	AUX
ejpam-1920	61	15	proved	prove	VERB
ejpam-1920	61	16	.	.	PUNCT
ejpam-1920	62	1	in	in	ADP
ejpam-1920	62	2	section	section	NOUN
ejpam-1920	62	3	3	3	NUM
ejpam-1920	62	4	,	,	PUNCT
ejpam-1920	62	5	an	an	DET
ejpam-1920	62	6	example	example	NOUN
ejpam-1920	62	7	is	be	AUX
ejpam-1920	62	8	given	give	VERB
ejpam-1920	62	9	for	for	ADP
ejpam-1920	62	10	the	the	DET
ejpam-1920	62	11	existence	existence	NOUN
ejpam-1920	62	12	to	to	ADP
ejpam-1920	62	13	this	this	DET
ejpam-1920	62	14	manifold	manifold	NOUN
ejpam-1920	62	15	.	.	PUNCT
ejpam-1920	63	1	2	2	X
ejpam-1920	63	2	.	.	X
ejpam-1920	63	3	pseudo	pseudo	NOUN
ejpam-1920	63	4	conharmonically	conharmonically	ADV
ejpam-1920	63	5	symmetric	symmetric	ADJ
ejpam-1920	63	6	manifold	manifold	ADJ
ejpam-1920	63	7	l	l	PROPN
ejpam-1920	63	8	denotes	denote	VERB
ejpam-1920	63	9	the	the	DET
ejpam-1920	63	10	symmetric	symmetric	ADJ
ejpam-1920	63	11	endomorphism	endomorphism	NOUN
ejpam-1920	63	12	of	of	ADP
ejpam-1920	63	13	the	the	DET
ejpam-1920	63	14	tangent	tangent	ADJ
ejpam-1920	63	15	space	space	NOUN
ejpam-1920	63	16	at	at	ADP
ejpam-1920	63	17	each	each	DET
ejpam-1920	63	18	point	point	NOUN
ejpam-1920	63	19	of	of	ADP
ejpam-1920	63	20	the	the	DET
ejpam-1920	63	21	manifold	manifold	NOUN
ejpam-1920	63	22	corresponding	corresponding	NOUN
ejpam-1920	63	23	to	to	ADP
ejpam-1920	63	24	the	the	DET
ejpam-1920	63	25	ricci	ricci	PROPN
ejpam-1920	63	26	tensor	tensor	NOUN
ejpam-1920	63	27	s	s	PROPN
ejpam-1920	63	28	of	of	ADP
ejpam-1920	63	29	type	type	NOUN
ejpam-1920	63	30	(	(	PUNCT
ejpam-1920	63	31	0,2	0,2	NUM
ejpam-1920	63	32	)	)	PUNCT
ejpam-1920	63	33	,	,	PUNCT
ejpam-1920	63	34	that	that	PRON
ejpam-1920	63	35	is	be	AUX
ejpam-1920	63	36	g(lx	g(lx	NOUN
ejpam-1920	63	37	,	,	PUNCT
ejpam-1920	63	38	y	y	PROPN
ejpam-1920	63	39	)	)	PUNCT
ejpam-1920	64	1	=	=	SYM
ejpam-1920	64	2	s(x	s(x	NOUN
ejpam-1920	64	3	,	,	PUNCT
ejpam-1920	64	4	y	y	PROPN
ejpam-1920	64	5	)	)	PUNCT
ejpam-1920	64	6	.	.	PUNCT
ejpam-1920	65	1	(	(	PUNCT
ejpam-1920	65	2	8)	8)	NUM
ejpam-1920	65	3	let	let	VERB
ejpam-1920	65	4	ei	ei	INTJ
ejpam-1920	65	5	,	,	PUNCT
ejpam-1920	65	6	(	(	PUNCT
ejpam-1920	65	7	1	1	NUM
ejpam-1920	65	8	≤	≤	NUM
ejpam-1920	65	9	i	i	NOUN
ejpam-1920	65	10	≤	≤	NOUN
ejpam-1920	65	11	n	n	CCONJ
ejpam-1920	65	12	)	)	PUNCT
ejpam-1920	65	13	be	be	AUX
ejpam-1920	65	14	an	an	DET
ejpam-1920	65	15	orthonormal	orthonormal	ADJ
ejpam-1920	65	16	basis	basis	NOUN
ejpam-1920	65	17	of	of	ADP
ejpam-1920	65	18	the	the	DET
ejpam-1920	65	19	tangent	tangent	ADJ
ejpam-1920	65	20	space	space	NOUN
ejpam-1920	65	21	at	at	ADP
ejpam-1920	65	22	any	any	DET
ejpam-1920	65	23	point	point	NOUN
ejpam-1920	65	24	of	of	ADP
ejpam-1920	65	25	the	the	DET
ejpam-1920	65	26	manifold	manifold	NOUN
ejpam-1920	65	27	.	.	PUNCT
ejpam-1920	66	1	from	from	ADP
ejpam-1920	66	2	(	(	PUNCT
ejpam-1920	66	3	6	6	NUM
ejpam-1920	66	4	)	)	PUNCT
ejpam-1920	66	5	,	,	PUNCT
ejpam-1920	66	6	we	we	PRON
ejpam-1920	66	7	have	have	VERB
ejpam-1920	66	8	h(x	h(x	PROPN
ejpam-1920	66	9	,	,	PUNCT
ejpam-1920	66	10	y	y	PROPN
ejpam-1920	66	11	)	)	PUNCT
ejpam-1920	66	12	=	=	PUNCT
ejpam-1920	67	1	n	n	CCONJ
ejpam-1920	67	2	∑	∑	PROPN
ejpam-1920	67	3	i=1	i=1	PROPN
ejpam-1920	67	4	h(x	h(x	PROPN
ejpam-1920	67	5	,	,	PUNCT
ejpam-1920	67	6	ei	ei	X
ejpam-1920	67	7	,	,	PUNCT
ejpam-1920	67	8	ei	ei	NOUN
ejpam-1920	67	9	,	,	PUNCT
ejpam-1920	67	10	y	y	PROPN
ejpam-1920	67	11	)	)	PUNCT
ejpam-1920	68	1	=	=	PUNCT
ejpam-1920	69	1	n	n	CCONJ
ejpam-1920	69	2	∑	∑	NOUN
ejpam-1920	69	3	i=1	i=1	PROPN
ejpam-1920	69	4	h(ei	h(ei	PROPN
ejpam-1920	69	5	,	,	PUNCT
ejpam-1920	69	6	x	x	INTJ
ejpam-1920	69	7	,	,	PUNCT
ejpam-1920	69	8	y	y	PROPN
ejpam-1920	69	9	,	,	PUNCT
ejpam-1920	69	10	ei	ei	NOUN
ejpam-1920	69	11	)	)	PUNCT
ejpam-1920	70	1	=	=	NOUN
ejpam-1920	70	2	−	−	NOUN
ejpam-1920	70	3	r	r	NOUN
ejpam-1920	70	4	n−	n−	NOUN
ejpam-1920	70	5	2	2	NUM
ejpam-1920	70	6	g(x	g(x	PROPN
ejpam-1920	70	7	,	,	PUNCT
ejpam-1920	70	8	y	y	PROPN
ejpam-1920	70	9	)	)	PUNCT
ejpam-1920	70	10	(	(	PUNCT
ejpam-1920	70	11	9	9	X
ejpam-1920	70	12	)	)	PUNCT
ejpam-1920	70	13	f.	f.	NOUN
ejpam-1920	70	14	zengin	zengin	NOUN
ejpam-1920	70	15	,	,	PUNCT
ejpam-1920	70	16	a.	a.	NOUN
ejpam-1920	70	17	taşcı	taşcı	PROPN
ejpam-1920	70	18	/	/	SYM
ejpam-1920	70	19	eur	eur	PROPN
ejpam-1920	70	20	.	.	PUNCT
ejpam-1920	71	1	j.	j.	PROPN
ejpam-1920	71	2	pure	pure	PROPN
ejpam-1920	71	3	appl	appl	PROPN
ejpam-1920	71	4	.	.	PROPN
ejpam-1920	71	5	math	math	PROPN
ejpam-1920	71	6	,	,	PUNCT
ejpam-1920	71	7	7	7	NUM
ejpam-1920	71	8	(	(	PUNCT
ejpam-1920	71	9	2014	2014	NUM
ejpam-1920	71	10	)	)	PUNCT
ejpam-1920	71	11	,	,	PUNCT
ejpam-1920	71	12	246	246	NUM
ejpam-1920	71	13	-	-	SYM
ejpam-1920	71	14	255	255	NUM
ejpam-1920	71	15	249	249	NUM
ejpam-1920	71	16	and	and	CCONJ
ejpam-1920	71	17	n	n	CCONJ
ejpam-1920	71	18	∑	∑	PROPN
ejpam-1920	71	19	i=1	i=1	PROPN
ejpam-1920	71	20	h(ei	h(ei	PROPN
ejpam-1920	71	21	,	,	PUNCT
ejpam-1920	71	22	ei	ei	INTJ
ejpam-1920	71	23	,	,	PUNCT
ejpam-1920	71	24	x	x	INTJ
ejpam-1920	71	25	,	,	PUNCT
ejpam-1920	71	26	y	y	PROPN
ejpam-1920	71	27	)	)	PUNCT
ejpam-1920	71	28	=	=	PUNCT
ejpam-1920	72	1	n	n	CCONJ
ejpam-1920	72	2	∑	∑	PROPN
ejpam-1920	72	3	i=1	i=1	PROPN
ejpam-1920	72	4	h(x	h(x	PROPN
ejpam-1920	72	5	,	,	PUNCT
ejpam-1920	72	6	y	y	PROPN
ejpam-1920	72	7	,	,	PUNCT
ejpam-1920	72	8	ei	ei	NOUN
ejpam-1920	72	9	,	,	PUNCT
ejpam-1920	72	10	ei	ei	NOUN
ejpam-1920	72	11	)	)	PUNCT
ejpam-1920	72	12	=	=	SYM
ejpam-1920	72	13	0	0	PUNCT
ejpam-1920	72	14	(	(	PUNCT
ejpam-1920	72	15	10	10	NUM
ejpam-1920	72	16	)	)	PUNCT
ejpam-1920	72	17	where	where	SCONJ
ejpam-1920	72	18	r	r	NOUN
ejpam-1920	72	19	is	be	AUX
ejpam-1920	72	20	the	the	DET
ejpam-1920	72	21	scalar	scalar	ADJ
ejpam-1920	72	22	curvature	curvature	NOUN
ejpam-1920	72	23	of	of	ADP
ejpam-1920	72	24	the	the	DET
ejpam-1920	72	25	manifold	manifold	NOUN
ejpam-1920	72	26	.	.	PUNCT
ejpam-1920	73	1	also	also	ADV
ejpam-1920	73	2	,	,	PUNCT
ejpam-1920	73	3	from	from	ADP
ejpam-1920	73	4	(	(	PUNCT
ejpam-1920	73	5	6	6	NUM
ejpam-1920	73	6	)	)	PUNCT
ejpam-1920	73	7	it	it	PRON
ejpam-1920	73	8	follows	follow	VERB
ejpam-1920	73	9	that	that	SCONJ
ejpam-1920	73	10	[	[	X
ejpam-1920	73	11	19	19	NUM
ejpam-1920	73	12	]	]	X
ejpam-1920	73	13	h(x	h(x	PROPN
ejpam-1920	73	14	,	,	PUNCT
ejpam-1920	73	15	y	y	PROPN
ejpam-1920	73	16	,	,	PUNCT
ejpam-1920	73	17	z	z	NOUN
ejpam-1920	73	18	,	,	PUNCT
ejpam-1920	73	19	u	u	NOUN
ejpam-1920	73	20	)	)	PUNCT
ejpam-1920	73	21	=	=	PUNCT
ejpam-1920	74	1	−h(y	−h(y	ADV
ejpam-1920	74	2	,	,	PUNCT
ejpam-1920	74	3	x	x	INTJ
ejpam-1920	74	4	,	,	PUNCT
ejpam-1920	74	5	z	z	NOUN
ejpam-1920	74	6	,	,	PUNCT
ejpam-1920	74	7	u	u	NOUN
ejpam-1920	74	8	)	)	PUNCT
ejpam-1920	74	9	h(x	h(x	PROPN
ejpam-1920	74	10	,	,	PUNCT
ejpam-1920	74	11	y	y	PROPN
ejpam-1920	74	12	,	,	PUNCT
ejpam-1920	74	13	z	z	NOUN
ejpam-1920	74	14	,	,	PUNCT
ejpam-1920	74	15	u	u	NOUN
ejpam-1920	74	16	)	)	PUNCT
ejpam-1920	74	17	=	=	SYM
ejpam-1920	74	18	−h(x	−h(x	PROPN
ejpam-1920	74	19	,	,	PUNCT
ejpam-1920	74	20	y	y	PROPN
ejpam-1920	74	21	,	,	PUNCT
ejpam-1920	74	22	u	u	NOUN
ejpam-1920	74	23	,	,	PUNCT
ejpam-1920	74	24	z	z	PROPN
ejpam-1920	74	25	)	)	PUNCT
ejpam-1920	74	26	h(x	h(x	PROPN
ejpam-1920	74	27	,	,	PUNCT
ejpam-1920	74	28	y	y	PROPN
ejpam-1920	74	29	,	,	PUNCT
ejpam-1920	74	30	z	z	NOUN
ejpam-1920	74	31	,	,	PUNCT
ejpam-1920	74	32	u	u	NOUN
ejpam-1920	74	33	)	)	PUNCT
ejpam-1920	74	34	=	=	SYM
ejpam-1920	75	1	h(z	h(z	NOUN
ejpam-1920	75	2	,	,	PUNCT
ejpam-1920	75	3	u	u	NOUN
ejpam-1920	75	4	,	,	PUNCT
ejpam-1920	75	5	x	x	INTJ
ejpam-1920	75	6	,	,	PUNCT
ejpam-1920	75	7	y	y	PROPN
ejpam-1920	75	8	)	)	PUNCT
ejpam-1920	75	9	h(x	h(x	PROPN
ejpam-1920	75	10	,	,	PUNCT
ejpam-1920	75	11	y	y	PROPN
ejpam-1920	75	12	,	,	PUNCT
ejpam-1920	75	13	z	z	NOUN
ejpam-1920	75	14	,	,	PUNCT
ejpam-1920	75	15	u	u	NOUN
ejpam-1920	75	16	)	)	PUNCT
ejpam-1920	76	1	+	+	ADP
ejpam-1920	76	2	h(x	h(x	PROPN
ejpam-1920	76	3	,	,	PUNCT
ejpam-1920	76	4	z	z	PROPN
ejpam-1920	76	5	,	,	PUNCT
ejpam-1920	76	6	u	u	PROPN
ejpam-1920	76	7	,	,	PUNCT
ejpam-1920	76	8	y	y	PROPN
ejpam-1920	76	9	)	)	PUNCT
ejpam-1920	77	1	+	+	ADP
ejpam-1920	77	2	h(x	h(x	PROPN
ejpam-1920	77	3	,	,	PUNCT
ejpam-1920	77	4	u	u	PROPN
ejpam-1920	77	5	,	,	PUNCT
ejpam-1920	77	6	y	y	PROPN
ejpam-1920	77	7	,	,	PUNCT
ejpam-1920	77	8	z	z	NOUN
ejpam-1920	77	9	)	)	PUNCT
ejpam-1920	77	10	=	=	SYM
ejpam-1920	77	11	0	0	X
ejpam-1920	77	12	.	.	PUNCT
ejpam-1920	78	1	(	(	PUNCT
ejpam-1920	78	2	11	11	NUM
ejpam-1920	78	3	)	)	PUNCT
ejpam-1920	78	4	we	we	PRON
ejpam-1920	78	5	assume	assume	VERB
ejpam-1920	78	6	that	that	SCONJ
ejpam-1920	78	7	our	our	PRON
ejpam-1920	78	8	manifold	manifold	NOUN
ejpam-1920	78	9	is	be	AUX
ejpam-1920	78	10	(	(	PUNCT
ejpam-1920	78	11	pchs)n	pchs)n	PROPN
ejpam-1920	78	12	.	.	PUNCT
ejpam-1920	79	1	thus	thus	ADV
ejpam-1920	79	2	,	,	PUNCT
ejpam-1920	79	3	the	the	DET
ejpam-1920	79	4	relation	relation	NOUN
ejpam-1920	79	5	(	(	PUNCT
ejpam-1920	79	6	7	7	X
ejpam-1920	79	7	)	)	PUNCT
ejpam-1920	79	8	holds	hold	VERB
ejpam-1920	79	9	.	.	PUNCT
ejpam-1920	80	1	proposition	proposition	NOUN
ejpam-1920	80	2	1	1	NUM
ejpam-1920	80	3	(	(	PUNCT
ejpam-1920	80	4	[	[	X
ejpam-1920	80	5	19	19	NUM
ejpam-1920	80	6	]	]	NUM
ejpam-1920	80	7	)	)	PUNCT
ejpam-1920	80	8	.	.	PUNCT
ejpam-1920	81	1	in	in	ADP
ejpam-1920	81	2	a	a	DET
ejpam-1920	81	3	riemannian	riemannian	ADJ
ejpam-1920	81	4	manifold	manifold	ADJ
ejpam-1920	81	5	vn	vn	PROPN
ejpam-1920	81	6	(	(	PUNCT
ejpam-1920	81	7	n	n	CCONJ
ejpam-1920	81	8	>	>	X
ejpam-1920	81	9	3	3	NUM
ejpam-1920	81	10	)	)	PUNCT
ejpam-1920	81	11	,	,	PUNCT
ejpam-1920	81	12	the	the	DET
ejpam-1920	81	13	conharmonic	conharmonic	ADJ
ejpam-1920	81	14	curvature	curvature	NOUN
ejpam-1920	81	15	tensor	tensor	NOUN
ejpam-1920	81	16	satisfies	satisfie	NOUN
ejpam-1920	81	17	the	the	DET
ejpam-1920	81	18	second	second	ADJ
ejpam-1920	81	19	bianchi	bianchi	NOUN
ejpam-1920	81	20	identity	identity	NOUN
ejpam-1920	81	21	,	,	PUNCT
ejpam-1920	81	22	i.e.	i.e.	X
ejpam-1920	81	23	,	,	PUNCT
ejpam-1920	81	24	the	the	DET
ejpam-1920	81	25	following	follow	VERB
ejpam-1920	81	26	relation	relation	NOUN
ejpam-1920	81	27	(	(	PUNCT
ejpam-1920	81	28	∇x	∇x	PROPN
ejpam-1920	81	29	h)(y	h)(y	PROPN
ejpam-1920	81	30	,	,	PUNCT
ejpam-1920	81	31	z	z	NOUN
ejpam-1920	81	32	,	,	PUNCT
ejpam-1920	81	33	u	u	PROPN
ejpam-1920	81	34	,	,	PUNCT
ejpam-1920	81	35	w	w	PROPN
ejpam-1920	81	36	)	)	PUNCT
ejpam-1920	82	1	+	+	CCONJ
ejpam-1920	82	2	(	(	PUNCT
ejpam-1920	82	3	∇u	∇u	PROPN
ejpam-1920	82	4	h)(y	h)(y	PROPN
ejpam-1920	82	5	,	,	PUNCT
ejpam-1920	82	6	z	z	NOUN
ejpam-1920	82	7	,	,	PUNCT
ejpam-1920	82	8	w	w	PROPN
ejpam-1920	82	9	,	,	PUNCT
ejpam-1920	82	10	x	x	SYM
ejpam-1920	82	11	)	)	PUNCT
ejpam-1920	83	1	+	+	CCONJ
ejpam-1920	83	2	(	(	PUNCT
ejpam-1920	83	3	∇w	∇w	PROPN
ejpam-1920	83	4	h)(y	h)(y	PROPN
ejpam-1920	83	5	,	,	PUNCT
ejpam-1920	83	6	z	z	NOUN
ejpam-1920	83	7	,	,	PUNCT
ejpam-1920	83	8	x	x	X
ejpam-1920	83	9	,	,	PUNCT
ejpam-1920	83	10	u	u	NOUN
ejpam-1920	83	11	)	)	PUNCT
ejpam-1920	83	12	=	=	SYM
ejpam-1920	83	13	0	0	NUM
ejpam-1920	83	14	holds	hold	VERB
ejpam-1920	83	15	if	if	SCONJ
ejpam-1920	83	16	and	and	CCONJ
ejpam-1920	83	17	only	only	ADV
ejpam-1920	83	18	if	if	SCONJ
ejpam-1920	83	19	the	the	DET
ejpam-1920	83	20	ricci	ricci	PROPN
ejpam-1920	83	21	tensor	tensor	NOUN
ejpam-1920	83	22	is	be	AUX
ejpam-1920	83	23	of	of	ADP
ejpam-1920	83	24	codazzi	codazzi	NOUN
ejpam-1920	83	25	type	type	NOUN
ejpam-1920	83	26	.	.	PUNCT
ejpam-1920	84	1	theorem	theorem	NOUN
ejpam-1920	84	2	1	1	NUM
ejpam-1920	84	3	.	.	PUNCT
ejpam-1920	85	1	in	in	ADP
ejpam-1920	85	2	a	a	DET
ejpam-1920	85	3	pseudo	pseudo	NOUN
ejpam-1920	85	4	conharmonically	conharmonically	ADV
ejpam-1920	85	5	symmetric	symmetric	ADJ
ejpam-1920	85	6	riemannian	riemannian	ADJ
ejpam-1920	85	7	manifold	manifold	NOUN
ejpam-1920	85	8	,	,	PUNCT
ejpam-1920	85	9	the	the	DET
ejpam-1920	85	10	conharmonic	conharmonic	ADJ
ejpam-1920	85	11	curvature	curvature	NOUN
ejpam-1920	85	12	tensor	tensor	NOUN
ejpam-1920	85	13	satisfies	satisfie	NOUN
ejpam-1920	85	14	the	the	DET
ejpam-1920	85	15	second	second	ADJ
ejpam-1920	85	16	bianchi	bianchi	NOUN
ejpam-1920	85	17	identity	identity	NOUN
ejpam-1920	85	18	,	,	PUNCT
ejpam-1920	85	19	i.e.	i.e.	X
ejpam-1920	85	20	,	,	PUNCT
ejpam-1920	85	21	(	(	PUNCT
ejpam-1920	85	22	∇x	∇x	NOUN
ejpam-1920	85	23	h)(y	h)(y	PROPN
ejpam-1920	85	24	,	,	PUNCT
ejpam-1920	85	25	z	z	NOUN
ejpam-1920	85	26	,	,	PUNCT
ejpam-1920	85	27	u	u	PROPN
ejpam-1920	85	28	,	,	PUNCT
ejpam-1920	85	29	w	w	PROPN
ejpam-1920	85	30	)	)	PUNCT
ejpam-1920	86	1	+	+	CCONJ
ejpam-1920	86	2	(	(	PUNCT
ejpam-1920	86	3	∇u	∇u	PROPN
ejpam-1920	86	4	h)(y	h)(y	PROPN
ejpam-1920	86	5	,	,	PUNCT
ejpam-1920	86	6	z	z	NOUN
ejpam-1920	86	7	,	,	PUNCT
ejpam-1920	86	8	w	w	PROPN
ejpam-1920	86	9	,	,	PUNCT
ejpam-1920	86	10	x	x	SYM
ejpam-1920	86	11	)	)	PUNCT
ejpam-1920	87	1	+	+	CCONJ
ejpam-1920	87	2	(	(	PUNCT
ejpam-1920	87	3	∇w	∇w	PROPN
ejpam-1920	87	4	h)(y	h)(y	PROPN
ejpam-1920	87	5	,	,	PUNCT
ejpam-1920	87	6	z	z	NOUN
ejpam-1920	87	7	,	,	PUNCT
ejpam-1920	87	8	x	x	X
ejpam-1920	87	9	,	,	PUNCT
ejpam-1920	87	10	u	u	NOUN
ejpam-1920	87	11	)	)	PUNCT
ejpam-1920	87	12	=	=	SYM
ejpam-1920	88	1	0	0	NUM
ejpam-1920	88	2	proof	proof	NOUN
ejpam-1920	88	3	.	.	PUNCT
ejpam-1920	89	1	permutating	permutate	VERB
ejpam-1920	89	2	x	x	SYM
ejpam-1920	89	3	,	,	PUNCT
ejpam-1920	89	4	u	u	PROPN
ejpam-1920	89	5	,	,	PUNCT
ejpam-1920	89	6	w	w	NOUN
ejpam-1920	89	7	in	in	ADP
ejpam-1920	89	8	(	(	PUNCT
ejpam-1920	89	9	7	7	NUM
ejpam-1920	89	10	)	)	PUNCT
ejpam-1920	89	11	and	and	CCONJ
ejpam-1920	89	12	adding	add	VERB
ejpam-1920	89	13	these	these	DET
ejpam-1920	89	14	three	three	NUM
ejpam-1920	89	15	equations	equation	NOUN
ejpam-1920	89	16	,	,	PUNCT
ejpam-1920	89	17	we	we	PRON
ejpam-1920	89	18	obtain	obtain	VERB
ejpam-1920	89	19	(	(	PUNCT
ejpam-1920	89	20	∇x	∇x	NOUN
ejpam-1920	89	21	h)(y	h)(y	PROPN
ejpam-1920	89	22	,	,	PUNCT
ejpam-1920	89	23	z	z	NOUN
ejpam-1920	89	24	,	,	PUNCT
ejpam-1920	89	25	u	u	PROPN
ejpam-1920	89	26	,	,	PUNCT
ejpam-1920	89	27	w	w	PROPN
ejpam-1920	89	28	)	)	PUNCT
ejpam-1920	90	1	+	+	CCONJ
ejpam-1920	90	2	(	(	PUNCT
ejpam-1920	90	3	∇u	∇u	PROPN
ejpam-1920	90	4	h)(y	h)(y	PROPN
ejpam-1920	90	5	,	,	PUNCT
ejpam-1920	90	6	z	z	NOUN
ejpam-1920	90	7	,	,	PUNCT
ejpam-1920	90	8	w	w	PROPN
ejpam-1920	90	9	,	,	PUNCT
ejpam-1920	90	10	x	x	SYM
ejpam-1920	90	11	)	)	PUNCT
ejpam-1920	91	1	+	+	CCONJ
ejpam-1920	91	2	(	(	PUNCT
ejpam-1920	91	3	∇w	∇w	PROPN
ejpam-1920	91	4	h)(y	h)(y	PROPN
ejpam-1920	91	5	,	,	PUNCT
ejpam-1920	91	6	z	z	NOUN
ejpam-1920	91	7	,	,	PUNCT
ejpam-1920	91	8	x	x	X
ejpam-1920	91	9	,	,	PUNCT
ejpam-1920	91	10	u	u	NOUN
ejpam-1920	91	11	)	)	PUNCT
ejpam-1920	91	12	=	=	NOUN
ejpam-1920	91	13	a(x	a(x	NOUN
ejpam-1920	91	14	)	)	PUNCT
ejpam-1920	92	1	[	[	X
ejpam-1920	92	2	2h(y	2h(y	NUM
ejpam-1920	92	3	,	,	PUNCT
ejpam-1920	92	4	z	z	NOUN
ejpam-1920	92	5	,	,	PUNCT
ejpam-1920	92	6	u	u	PROPN
ejpam-1920	92	7	,	,	PUNCT
ejpam-1920	92	8	w	w	PROPN
ejpam-1920	92	9	)	)	PUNCT
ejpam-1920	93	1	+	+	ADP
ejpam-1920	93	2	h(y	h(y	ADV
ejpam-1920	93	3	,	,	PUNCT
ejpam-1920	93	4	z	z	NOUN
ejpam-1920	93	5	,	,	PUNCT
ejpam-1920	93	6	w	w	PROPN
ejpam-1920	93	7	,	,	PUNCT
ejpam-1920	93	8	u	u	NOUN
ejpam-1920	93	9	)	)	PUNCT
ejpam-1920	93	10	+	+	ADP
ejpam-1920	93	11	h(y	h(y	ADV
ejpam-1920	93	12	,	,	PUNCT
ejpam-1920	93	13	z	z	NOUN
ejpam-1920	93	14	,	,	PUNCT
ejpam-1920	93	15	w	w	PROPN
ejpam-1920	93	16	,	,	PUNCT
ejpam-1920	93	17	u	u	NOUN
ejpam-1920	93	18	)	)	PUNCT
ejpam-1920	93	19	]	]	PUNCT
ejpam-1920	94	1	+	+	CCONJ
ejpam-1920	94	2	a(y	a(y	PROPN
ejpam-1920	94	3	)	)	PUNCT
ejpam-1920	95	1	[	[	X
ejpam-1920	95	2	h(x	h(x	PROPN
ejpam-1920	95	3	,	,	PUNCT
ejpam-1920	95	4	z	z	PROPN
ejpam-1920	95	5	,	,	PUNCT
ejpam-1920	95	6	u	u	PROPN
ejpam-1920	95	7	,	,	PUNCT
ejpam-1920	95	8	w	w	PROPN
ejpam-1920	95	9	)	)	PUNCT
ejpam-1920	96	1	+	+	PROPN
ejpam-1920	96	2	h(u	h(u	PROPN
ejpam-1920	96	3	,	,	PUNCT
ejpam-1920	96	4	z	z	PROPN
ejpam-1920	96	5	,	,	PUNCT
ejpam-1920	96	6	w	w	PROPN
ejpam-1920	96	7	,	,	PUNCT
ejpam-1920	96	8	x	x	SYM
ejpam-1920	96	9	)	)	PUNCT
ejpam-1920	96	10	+	+	ADJ
ejpam-1920	96	11	h(w	h(w	PROPN
ejpam-1920	96	12	,	,	PUNCT
ejpam-1920	96	13	z	z	NOUN
ejpam-1920	96	14	,	,	PUNCT
ejpam-1920	96	15	x	x	X
ejpam-1920	96	16	,	,	PUNCT
ejpam-1920	96	17	u	u	NOUN
ejpam-1920	96	18	)	)	PUNCT
ejpam-1920	96	19	]	]	PUNCT
ejpam-1920	97	1	+	+	CCONJ
ejpam-1920	97	2	a(z)[h(y	a(z)[h(y	PROPN
ejpam-1920	97	3	,	,	PUNCT
ejpam-1920	97	4	x	x	INTJ
ejpam-1920	97	5	,	,	PUNCT
ejpam-1920	97	6	u	u	PROPN
ejpam-1920	97	7	,	,	PUNCT
ejpam-1920	97	8	w	w	PROPN
ejpam-1920	97	9	)	)	PUNCT
ejpam-1920	97	10	+	+	ADP
ejpam-1920	97	11	h(y	h(y	ADV
ejpam-1920	97	12	,	,	PUNCT
ejpam-1920	97	13	u	u	NOUN
ejpam-1920	97	14	,	,	PUNCT
ejpam-1920	97	15	w	w	PROPN
ejpam-1920	97	16	,	,	PUNCT
ejpam-1920	97	17	x	x	SYM
ejpam-1920	97	18	)	)	PUNCT
ejpam-1920	97	19	+	+	SCONJ
ejpam-1920	97	20	h(y	h(y	ADV
ejpam-1920	97	21	,	,	PUNCT
ejpam-1920	97	22	w	w	NOUN
ejpam-1920	97	23	,	,	PUNCT
ejpam-1920	97	24	x	x	INTJ
ejpam-1920	97	25	,	,	PUNCT
ejpam-1920	97	26	u	u	NOUN
ejpam-1920	97	27	)	)	PUNCT
ejpam-1920	97	28	]	]	PUNCT
ejpam-1920	98	1	+	+	CCONJ
ejpam-1920	98	2	a(u)[h(y	a(u)[h(y	ADJ
ejpam-1920	98	3	,	,	PUNCT
ejpam-1920	98	4	z	z	NOUN
ejpam-1920	98	5	,	,	PUNCT
ejpam-1920	98	6	x	x	X
ejpam-1920	98	7	,	,	PUNCT
ejpam-1920	98	8	w	w	PROPN
ejpam-1920	98	9	)	)	PUNCT
ejpam-1920	99	1	+	+	CCONJ
ejpam-1920	99	2	2h(y	2h(y	NUM
ejpam-1920	99	3	,	,	PUNCT
ejpam-1920	99	4	z	z	NOUN
ejpam-1920	99	5	,	,	PUNCT
ejpam-1920	99	6	w	w	PROPN
ejpam-1920	99	7	,	,	PUNCT
ejpam-1920	99	8	x	x	SYM
ejpam-1920	99	9	)	)	PUNCT
ejpam-1920	100	1	+	+	ADP
ejpam-1920	100	2	h(y	h(y	ADV
ejpam-1920	100	3	,	,	PUNCT
ejpam-1920	100	4	z	z	NOUN
ejpam-1920	100	5	,	,	PUNCT
ejpam-1920	100	6	x	x	X
ejpam-1920	100	7	,	,	PUNCT
ejpam-1920	100	8	w	w	PROPN
ejpam-1920	100	9	)	)	PUNCT
ejpam-1920	100	10	]	]	PUNCT
ejpam-1920	101	1	+	+	CCONJ
ejpam-1920	101	2	a(w	a(w	PROPN
ejpam-1920	101	3	)	)	PUNCT
ejpam-1920	102	1	[	[	X
ejpam-1920	102	2	2h(y	2h(y	NUM
ejpam-1920	102	3	,	,	PUNCT
ejpam-1920	102	4	z	z	NOUN
ejpam-1920	102	5	,	,	PUNCT
ejpam-1920	102	6	x	x	X
ejpam-1920	102	7	,	,	PUNCT
ejpam-1920	102	8	u	u	NOUN
ejpam-1920	102	9	)	)	PUNCT
ejpam-1920	102	10	+	+	ADP
ejpam-1920	102	11	h(y	h(y	ADV
ejpam-1920	102	12	,	,	PUNCT
ejpam-1920	102	13	z	z	NOUN
ejpam-1920	102	14	,	,	PUNCT
ejpam-1920	102	15	u	u	NOUN
ejpam-1920	102	16	,	,	PUNCT
ejpam-1920	102	17	x	x	X
ejpam-1920	102	18	)	)	PUNCT
ejpam-1920	102	19	+	+	ADP
ejpam-1920	102	20	h(y	h(y	ADV
ejpam-1920	102	21	,	,	PUNCT
ejpam-1920	102	22	z	z	NOUN
ejpam-1920	102	23	,	,	PUNCT
ejpam-1920	102	24	u	u	NOUN
ejpam-1920	102	25	,	,	PUNCT
ejpam-1920	102	26	x	x	PROPN
ejpam-1920	102	27	)	)	PUNCT
ejpam-1920	102	28	]	]	PUNCT
ejpam-1920	102	29	.	.	PUNCT
ejpam-1920	103	1	(	(	PUNCT
ejpam-1920	103	2	12	12	NUM
ejpam-1920	103	3	)	)	PUNCT
ejpam-1920	103	4	thus	thus	ADV
ejpam-1920	103	5	,	,	PUNCT
ejpam-1920	103	6	from	from	ADP
ejpam-1920	103	7	(	(	PUNCT
ejpam-1920	103	8	11	11	NUM
ejpam-1920	103	9	)	)	PUNCT
ejpam-1920	103	10	,	,	PUNCT
ejpam-1920	103	11	(	(	PUNCT
ejpam-1920	103	12	12	12	NUM
ejpam-1920	103	13	)	)	PUNCT
ejpam-1920	103	14	reduces	reduce	VERB
ejpam-1920	103	15	to	to	ADP
ejpam-1920	103	16	(	(	PUNCT
ejpam-1920	103	17	∇x	∇x	NOUN
ejpam-1920	103	18	h)(y	h)(y	PROPN
ejpam-1920	103	19	,	,	PUNCT
ejpam-1920	103	20	z	z	NOUN
ejpam-1920	103	21	,	,	PUNCT
ejpam-1920	103	22	u	u	PROPN
ejpam-1920	103	23	,	,	PUNCT
ejpam-1920	103	24	w	w	PROPN
ejpam-1920	103	25	)	)	PUNCT
ejpam-1920	104	1	+	+	CCONJ
ejpam-1920	104	2	(	(	PUNCT
ejpam-1920	104	3	∇u	∇u	PROPN
ejpam-1920	104	4	h)(y	h)(y	PROPN
ejpam-1920	104	5	,	,	PUNCT
ejpam-1920	104	6	z	z	NOUN
ejpam-1920	104	7	,	,	PUNCT
ejpam-1920	104	8	w	w	PROPN
ejpam-1920	104	9	,	,	PUNCT
ejpam-1920	104	10	x	x	SYM
ejpam-1920	104	11	)	)	PUNCT
ejpam-1920	105	1	+	+	CCONJ
ejpam-1920	105	2	(	(	PUNCT
ejpam-1920	105	3	∇w	∇w	PROPN
ejpam-1920	105	4	h)(y	h)(y	PROPN
ejpam-1920	105	5	,	,	PUNCT
ejpam-1920	105	6	z	z	NOUN
ejpam-1920	105	7	,	,	PUNCT
ejpam-1920	105	8	x	x	X
ejpam-1920	105	9	,	,	PUNCT
ejpam-1920	105	10	u	u	NOUN
ejpam-1920	105	11	)	)	PUNCT
ejpam-1920	105	12	=	=	SYM
ejpam-1920	105	13	0	0	NUM
ejpam-1920	105	14	(	(	PUNCT
ejpam-1920	105	15	13	13	NUM
ejpam-1920	105	16	)	)	PUNCT
ejpam-1920	105	17	i.e.	i.e.	X
ejpam-1920	105	18	the	the	DET
ejpam-1920	105	19	conharmonic	conharmonic	ADJ
ejpam-1920	105	20	curvature	curvature	NOUN
ejpam-1920	105	21	tensor	tensor	NOUN
ejpam-1920	105	22	satisfies	satisfie	NOUN
ejpam-1920	105	23	the	the	DET
ejpam-1920	105	24	second	second	ADJ
ejpam-1920	105	25	bianchi	bianchi	NOUN
ejpam-1920	105	26	identity	identity	NOUN
ejpam-1920	105	27	.	.	PUNCT
ejpam-1920	106	1	theorem	theorem	NOUN
ejpam-1920	106	2	2	2	NUM
ejpam-1920	106	3	.	.	PUNCT
ejpam-1920	106	4	a	a	DET
ejpam-1920	106	5	pseudo	pseudo	NOUN
ejpam-1920	106	6	conharmonically	conharmonically	ADV
ejpam-1920	106	7	symmetric	symmetric	ADJ
ejpam-1920	106	8	manifold	manifold	ADJ
ejpam-1920	106	9	with	with	ADP
ejpam-1920	106	10	non	non	ADJ
ejpam-1920	106	11	-	-	ADJ
ejpam-1920	106	12	zero	zero	NUM
ejpam-1920	106	13	scalar	scalar	ADJ
ejpam-1920	106	14	curvature	curvature	NOUN
ejpam-1920	106	15	is	be	AUX
ejpam-1920	106	16	of	of	ADP
ejpam-1920	106	17	closed	closed	ADJ
ejpam-1920	106	18	associated	associate	VERB
ejpam-1920	106	19	1	1	NUM
ejpam-1920	106	20	-	-	PUNCT
ejpam-1920	106	21	form	form	NOUN
ejpam-1920	106	22	.	.	PUNCT
ejpam-1920	107	1	f.	f.	PROPN
ejpam-1920	107	2	zengin	zengin	PROPN
ejpam-1920	107	3	,	,	PUNCT
ejpam-1920	107	4	a.	a.	NOUN
ejpam-1920	107	5	taşcı	taşcı	PROPN
ejpam-1920	107	6	/	/	SYM
ejpam-1920	107	7	eur	eur	PROPN
ejpam-1920	107	8	.	.	PUNCT
ejpam-1920	108	1	j.	j.	PROPN
ejpam-1920	108	2	pure	pure	PROPN
ejpam-1920	108	3	appl	appl	PROPN
ejpam-1920	108	4	.	.	PROPN
ejpam-1920	108	5	math	math	PROPN
ejpam-1920	108	6	,	,	PUNCT
ejpam-1920	108	7	7	7	NUM
ejpam-1920	108	8	(	(	PUNCT
ejpam-1920	108	9	2014	2014	NUM
ejpam-1920	108	10	)	)	PUNCT
ejpam-1920	108	11	,	,	PUNCT
ejpam-1920	108	12	246	246	NUM
ejpam-1920	108	13	-	-	SYM
ejpam-1920	108	14	255	255	NUM
ejpam-1920	108	15	250	250	NUM
ejpam-1920	108	16	proof	proof	NOUN
ejpam-1920	108	17	.	.	PUNCT
ejpam-1920	109	1	contracting	contract	VERB
ejpam-1920	109	2	on	on	ADP
ejpam-1920	109	3	y	y	PROPN
ejpam-1920	109	4	and	and	CCONJ
ejpam-1920	109	5	v	v	X
ejpam-1920	109	6	in	in	ADP
ejpam-1920	109	7	(	(	PUNCT
ejpam-1920	109	8	7	7	NUM
ejpam-1920	109	9	)	)	PUNCT
ejpam-1920	109	10	,	,	PUNCT
ejpam-1920	109	11	we	we	PRON
ejpam-1920	109	12	find	find	VERB
ejpam-1920	109	13	(	(	PUNCT
ejpam-1920	109	14	∇x	∇x	NOUN
ejpam-1920	109	15	h)(z	h)(z	X
ejpam-1920	109	16	,	,	PUNCT
ejpam-1920	109	17	u	u	NOUN
ejpam-1920	109	18	)	)	PUNCT
ejpam-1920	109	19	=	=	NOUN
ejpam-1920	109	20	2a(x	2a(x	NOUN
ejpam-1920	109	21	)	)	PUNCT
ejpam-1920	109	22	h(z	h(z	NOUN
ejpam-1920	109	23	,	,	PUNCT
ejpam-1920	109	24	u	u	NOUN
ejpam-1920	109	25	)	)	PUNCT
ejpam-1920	110	1	+	+	NUM
ejpam-1920	110	2	a(h(u	a(h(u	NUM
ejpam-1920	110	3	,	,	PUNCT
ejpam-1920	110	4	z)x	z)x	X
ejpam-1920	110	5	)	)	PUNCT
ejpam-1920	111	1	+	+	CCONJ
ejpam-1920	111	2	a(z)h(x	a(z)h(x	NOUN
ejpam-1920	111	3	,	,	PUNCT
ejpam-1920	111	4	u	u	NOUN
ejpam-1920	111	5	)	)	PUNCT
ejpam-1920	111	6	+	+	NUM
ejpam-1920	111	7	a(u)h(z	a(u)h(z	PROPN
ejpam-1920	111	8	,	,	PUNCT
ejpam-1920	111	9	x	x	X
ejpam-1920	111	10	)	)	PUNCT
ejpam-1920	112	1	+	+	CCONJ
ejpam-1920	112	2	a(h(u	a(h(u	NUM
ejpam-1920	112	3	,	,	PUNCT
ejpam-1920	112	4	z)x	z)x	X
ejpam-1920	112	5	)	)	PUNCT
ejpam-1920	112	6	(	(	PUNCT
ejpam-1920	112	7	14	14	NUM
ejpam-1920	112	8	)	)	PUNCT
ejpam-1920	112	9	where	where	SCONJ
ejpam-1920	112	10	h	h	NOUN
ejpam-1920	112	11	is	be	AUX
ejpam-1920	112	12	in	in	ADP
ejpam-1920	112	13	the	the	DET
ejpam-1920	112	14	form	form	NOUN
ejpam-1920	112	15	(	(	PUNCT
ejpam-1920	112	16	9	9	NUM
ejpam-1920	112	17	)	)	PUNCT
ejpam-1920	112	18	.	.	PUNCT
ejpam-1920	113	1	putting	put	VERB
ejpam-1920	113	2	y	y	NOUN
ejpam-1920	113	3	=	=	PUNCT
ejpam-1920	113	4	z	z	NOUN
ejpam-1920	113	5	=	=	PUNCT
ejpam-1920	113	6	ei	ei	NOUN
ejpam-1920	113	7	in	in	ADP
ejpam-1920	113	8	(	(	PUNCT
ejpam-1920	113	9	14	14	NUM
ejpam-1920	113	10	)	)	PUNCT
ejpam-1920	113	11	,	,	PUNCT
ejpam-1920	113	12	where	where	SCONJ
ejpam-1920	113	13	ei	ei	NOUN
ejpam-1920	113	14	is	be	AUX
ejpam-1920	113	15	an	an	DET
ejpam-1920	113	16	orthonormal	orthonormal	ADJ
ejpam-1920	113	17	basis	basis	NOUN
ejpam-1920	113	18	of	of	ADP
ejpam-1920	113	19	tangent	tangent	ADJ
ejpam-1920	113	20	space	space	NOUN
ejpam-1920	113	21	at	at	ADP
ejpam-1920	113	22	each	each	DET
ejpam-1920	113	23	point	point	NOUN
ejpam-1920	113	24	of	of	ADP
ejpam-1920	113	25	the	the	DET
ejpam-1920	113	26	manifold	manifold	NOUN
ejpam-1920	113	27	and	and	CCONJ
ejpam-1920	113	28	i	i	PRON
ejpam-1920	113	29	is	be	AUX
ejpam-1920	113	30	summed	sum	VERB
ejpam-1920	113	31	for	for	ADP
ejpam-1920	113	32	1≤	1≤	NUM
ejpam-1920	113	33	i	i	PROPN
ejpam-1920	113	34	≤	≤	PROPN
ejpam-1920	113	35	n	n	CCONJ
ejpam-1920	113	36	,	,	PUNCT
ejpam-1920	113	37	we	we	PRON
ejpam-1920	113	38	get	get	VERB
ejpam-1920	113	39	(	(	PUNCT
ejpam-1920	113	40	∇x	∇x	PROPN
ejpam-1920	113	41	h	h	NOUN
ejpam-1920	113	42	)	)	PUNCT
ejpam-1920	113	43	=	=	SYM
ejpam-1920	114	1	2a(x	2a(x	X
ejpam-1920	114	2	)	)	PUNCT
ejpam-1920	114	3	h+	h+	X
ejpam-1920	114	4	4a(lx	4a(lx	NUM
ejpam-1920	114	5	)	)	PUNCT
ejpam-1920	114	6	(	(	PUNCT
ejpam-1920	114	7	15	15	NUM
ejpam-1920	114	8	)	)	PUNCT
ejpam-1920	114	9	where	where	SCONJ
ejpam-1920	114	10	h	h	NOUN
ejpam-1920	114	11	=	=	SYM
ejpam-1920	114	12	h(lx	h(lx	PROPN
ejpam-1920	114	13	)	)	PUNCT
ejpam-1920	114	14	and	and	CCONJ
ejpam-1920	114	15	l	l	NOUN
ejpam-1920	114	16	denotes	denote	VERB
ejpam-1920	114	17	the	the	DET
ejpam-1920	114	18	symmetric	symmetric	ADJ
ejpam-1920	114	19	endomorphism	endomorphism	NOUN
ejpam-1920	114	20	of	of	ADP
ejpam-1920	114	21	the	the	DET
ejpam-1920	114	22	tangent	tangent	ADJ
ejpam-1920	114	23	space	space	NOUN
ejpam-1920	114	24	at	at	ADP
ejpam-1920	114	25	each	each	DET
ejpam-1920	114	26	point	point	NOUN
ejpam-1920	114	27	corresponding	correspond	VERB
ejpam-1920	114	28	to	to	ADP
ejpam-1920	114	29	the	the	DET
ejpam-1920	114	30	tensor	tensor	NOUN
ejpam-1920	114	31	h(x	h(x	PROPN
ejpam-1920	114	32	,	,	PUNCT
ejpam-1920	114	33	y	y	PROPN
ejpam-1920	114	34	)	)	PUNCT
ejpam-1920	114	35	.	.	PUNCT
ejpam-1920	115	1	if	if	SCONJ
ejpam-1920	115	2	we	we	PRON
ejpam-1920	115	3	take	take	VERB
ejpam-1920	115	4	the	the	DET
ejpam-1920	115	5	covariant	covariant	ADJ
ejpam-1920	115	6	derivative	derivative	NOUN
ejpam-1920	115	7	of	of	ADP
ejpam-1920	115	8	(	(	PUNCT
ejpam-1920	115	9	15	15	NUM
ejpam-1920	115	10	)	)	PUNCT
ejpam-1920	115	11	,	,	PUNCT
ejpam-1920	115	12	we	we	PRON
ejpam-1920	115	13	find	find	VERB
ejpam-1920	115	14	∇y∇x	∇y∇x	PRON
ejpam-1920	115	15	h=	h=	NOUN
ejpam-1920	115	16	2(∇y	2(∇y	NUM
ejpam-1920	115	17	a)(x	a)(x	NOUN
ejpam-1920	115	18	)	)	PUNCT
ejpam-1920	115	19	h+	h+	X
ejpam-1920	115	20	2a(x	2a(x	NUM
ejpam-1920	115	21	)	)	PUNCT
ejpam-1920	115	22	(	(	PUNCT
ejpam-1920	115	23	∇y	∇y	PROPN
ejpam-1920	115	24	h	h	NOUN
ejpam-1920	115	25	)	)	PUNCT
ejpam-1920	116	1	+	+	CCONJ
ejpam-1920	116	2	4(∇y	4(∇y	NUM
ejpam-1920	116	3	a)(lx	a)(lx	NOUN
ejpam-1920	116	4	)	)	PUNCT
ejpam-1920	117	1	+	+	CCONJ
ejpam-1920	117	2	4a(∇y	4a(∇y	NUM
ejpam-1920	117	3	h)(lx	h)(lx	NOUN
ejpam-1920	117	4	)	)	PUNCT
ejpam-1920	117	5	.	.	PUNCT
ejpam-1920	118	1	(	(	PUNCT
ejpam-1920	118	2	16	16	NUM
ejpam-1920	118	3	)	)	PUNCT
ejpam-1920	118	4	changing	change	VERB
ejpam-1920	118	5	x	x	PUNCT
ejpam-1920	118	6	and	and	CCONJ
ejpam-1920	118	7	y	y	PROPN
ejpam-1920	118	8	in	in	ADP
ejpam-1920	118	9	(	(	PUNCT
ejpam-1920	118	10	16	16	NUM
ejpam-1920	118	11	)	)	PUNCT
ejpam-1920	118	12	and	and	CCONJ
ejpam-1920	118	13	subtracting	subtract	VERB
ejpam-1920	118	14	these	these	DET
ejpam-1920	118	15	two	two	NUM
ejpam-1920	118	16	equations	equation	NOUN
ejpam-1920	118	17	,	,	PUNCT
ejpam-1920	118	18	we	we	PRON
ejpam-1920	118	19	obtain	obtain	VERB
ejpam-1920	118	20	from	from	ADP
ejpam-1920	118	21	(	(	PUNCT
ejpam-1920	118	22	6	6	NUM
ejpam-1920	118	23	)	)	PUNCT
ejpam-1920	118	24	,	,	PUNCT
ejpam-1920	118	25	(	(	PUNCT
ejpam-1920	118	26	11	11	NUM
ejpam-1920	118	27	)	)	PUNCT
ejpam-1920	118	28	,	,	PUNCT
ejpam-1920	118	29	(	(	PUNCT
ejpam-1920	118	30	14	14	NUM
ejpam-1920	118	31	)	)	PUNCT
ejpam-1920	118	32	and	and	CCONJ
ejpam-1920	118	33	(	(	PUNCT
ejpam-1920	118	34	15	15	NUM
ejpam-1920	118	35	)	)	PUNCT
ejpam-1920	118	36	,	,	PUNCT
ejpam-1920	118	37	assuming	assume	VERB
ejpam-1920	118	38	that	that	SCONJ
ejpam-1920	118	39	our	our	PRON
ejpam-1920	118	40	manifold	manifold	ADJ
ejpam-1920	118	41	admits	admit	VERB
ejpam-1920	118	42	non	non	ADJ
ejpam-1920	118	43	-	-	ADJ
ejpam-1920	118	44	zero	zero	NUM
ejpam-1920	118	45	scalar	scalar	ADJ
ejpam-1920	118	46	curvature	curvature	NOUN
ejpam-1920	118	47	then	then	ADV
ejpam-1920	118	48	(	(	PUNCT
ejpam-1920	118	49	∇y	∇y	PROPN
ejpam-1920	118	50	a)(x	a)(x	PROPN
ejpam-1920	118	51	)	)	PUNCT
ejpam-1920	118	52	−	−	PROPN
ejpam-1920	119	1	(	(	PUNCT
ejpam-1920	119	2	∇x	∇x	NOUN
ejpam-1920	119	3	a)(y	a)(y	PUNCT
ejpam-1920	119	4	)	)	PUNCT
ejpam-1920	120	1	=	=	PUNCT
ejpam-1920	120	2	0	0	X
ejpam-1920	120	3	.	.	PUNCT
ejpam-1920	121	1	(	(	PUNCT
ejpam-1920	121	2	17	17	NUM
ejpam-1920	121	3	)	)	PUNCT
ejpam-1920	121	4	by	by	ADP
ejpam-1920	121	5	the	the	DET
ejpam-1920	121	6	aid	aid	NOUN
ejpam-1920	121	7	of	of	ADP
ejpam-1920	121	8	(	(	PUNCT
ejpam-1920	121	9	17	17	NUM
ejpam-1920	121	10	)	)	PUNCT
ejpam-1920	121	11	,	,	PUNCT
ejpam-1920	121	12	we	we	PRON
ejpam-1920	121	13	can	can	AUX
ejpam-1920	121	14	say	say	VERB
ejpam-1920	121	15	that	that	SCONJ
ejpam-1920	121	16	the	the	DET
ejpam-1920	121	17	associated	associated	ADJ
ejpam-1920	121	18	1	1	NUM
ejpam-1920	121	19	-	-	PUNCT
ejpam-1920	121	20	form	form	NOUN
ejpam-1920	121	21	of	of	ADP
ejpam-1920	121	22	this	this	DET
ejpam-1920	121	23	manifold	manifold	NOUN
ejpam-1920	121	24	is	be	AUX
ejpam-1920	121	25	closed	close	VERB
ejpam-1920	121	26	.	.	PUNCT
ejpam-1920	122	1	thus	thus	ADV
ejpam-1920	122	2	,	,	PUNCT
ejpam-1920	122	3	the	the	DET
ejpam-1920	122	4	proof	proof	NOUN
ejpam-1920	122	5	is	be	AUX
ejpam-1920	122	6	completed	complete	VERB
ejpam-1920	122	7	.	.	PUNCT
ejpam-1920	123	1	theorem	theorem	NOUN
ejpam-1920	123	2	3	3	NUM
ejpam-1920	123	3	.	.	PUNCT
ejpam-1920	124	1	a	a	DET
ejpam-1920	124	2	riemannian	riemannian	ADJ
ejpam-1920	124	3	manifold	manifold	NOUN
ejpam-1920	124	4	admits	admit	VERB
ejpam-1920	124	5	divergence	divergence	NOUN
ejpam-1920	124	6	-	-	PUNCT
ejpam-1920	124	7	free	free	ADJ
ejpam-1920	124	8	conharmonic	conharmonic	ADJ
ejpam-1920	124	9	curvature	curvature	NOUN
ejpam-1920	124	10	tensor	tensor	NOUN
ejpam-1920	124	11	is	be	AUX
ejpam-1920	124	12	of	of	ADP
ejpam-1920	124	13	constant	constant	ADJ
ejpam-1920	124	14	scalar	scalar	ADJ
ejpam-1920	124	15	curvature	curvature	NOUN
ejpam-1920	124	16	.	.	PUNCT
ejpam-1920	125	1	proof	proof	NOUN
ejpam-1920	125	2	.	.	PUNCT
ejpam-1920	126	1	in	in	ADP
ejpam-1920	126	2	local	local	ADJ
ejpam-1920	126	3	coordinates	coordinate	NOUN
ejpam-1920	126	4	,	,	PUNCT
ejpam-1920	126	5	from	from	ADP
ejpam-1920	126	6	the	the	DET
ejpam-1920	126	7	second	second	ADJ
ejpam-1920	126	8	bianchi	bianchi	NOUN
ejpam-1920	126	9	identity	identity	NOUN
ejpam-1920	126	10	,	,	PUNCT
ejpam-1920	126	11	we	we	PRON
ejpam-1920	126	12	have	have	VERB
ejpam-1920	126	13	rh	rh	PROPN
ejpam-1920	126	14	i	i	PROPN
ejpam-1920	126	15	jk	jk	PROPN
ejpam-1920	126	16	,	,	PUNCT
ejpam-1920	126	17	h	h	NOUN
ejpam-1920	126	18	=	=	NOUN
ejpam-1920	126	19	si	si	PROPN
ejpam-1920	126	20	j	j	PROPN
ejpam-1920	126	21	,	,	PUNCT
ejpam-1920	126	22	k	k	PROPN
ejpam-1920	126	23	−	−	PROPN
ejpam-1920	126	24	sik	sik	PROPN
ejpam-1920	126	25	,	,	PUNCT
ejpam-1920	126	26	j	j	PROPN
ejpam-1920	126	27	(	(	PUNCT
ejpam-1920	126	28	18	18	NUM
ejpam-1920	126	29	)	)	PUNCT
ejpam-1920	126	30	and	and	CCONJ
ejpam-1920	126	31	then	then	ADV
ejpam-1920	126	32	sh	sh	PROPN
ejpam-1920	126	33	k	k	PROPN
ejpam-1920	126	34	,	,	PUNCT
ejpam-1920	126	35	h	h	NOUN
ejpam-1920	126	36	=	=	NOUN
ejpam-1920	126	37	1	1	NUM
ejpam-1920	126	38	2	2	NUM
ejpam-1920	126	39	r	r	NOUN
ejpam-1920	126	40	,	,	PUNCT
ejpam-1920	126	41	k	k	PROPN
ejpam-1920	126	42	(	(	PUNCT
ejpam-1920	126	43	19	19	NUM
ejpam-1920	126	44	)	)	PUNCT
ejpam-1920	126	45	where	where	SCONJ
ejpam-1920	126	46	r	r	NOUN
ejpam-1920	126	47	is	be	AUX
ejpam-1920	126	48	the	the	DET
ejpam-1920	126	49	scalar	scalar	ADJ
ejpam-1920	126	50	curvature	curvature	NOUN
ejpam-1920	126	51	and	and	CCONJ
ejpam-1920	126	52	si	si	PROPN
ejpam-1920	126	53	j	j	PROPN
ejpam-1920	126	54	is	be	AUX
ejpam-1920	126	55	the	the	DET
ejpam-1920	126	56	ricci	ricci	PROPN
ejpam-1920	126	57	tensor	tensor	NOUN
ejpam-1920	126	58	of	of	ADP
ejpam-1920	126	59	this	this	DET
ejpam-1920	126	60	manifold	manifold	NOUN
ejpam-1920	126	61	.	.	PUNCT
ejpam-1920	127	1	thus	thus	ADV
ejpam-1920	127	2	from	from	ADP
ejpam-1920	127	3	(	(	PUNCT
ejpam-1920	127	4	6	6	NUM
ejpam-1920	127	5	)	)	PUNCT
ejpam-1920	127	6	,	,	PUNCT
ejpam-1920	127	7	hh	hh	PROPN
ejpam-1920	127	8	i	i	PROPN
ejpam-1920	127	9	jk	jk	PROPN
ejpam-1920	127	10	,	,	PUNCT
ejpam-1920	127	11	l	l	PROPN
ejpam-1920	128	1	=	=	SYM
ejpam-1920	129	1	rh	rh	PROPN
ejpam-1920	130	1	i	i	PROPN
ejpam-1920	130	2	jk	jk	PROPN
ejpam-1920	130	3	,	,	PUNCT
ejpam-1920	130	4	l	l	PROPN
ejpam-1920	130	5	−	−	PROPN
ejpam-1920	130	6	1	1	NUM
ejpam-1920	130	7	n−	n−	NOUN
ejpam-1920	130	8	2	2	NUM
ejpam-1920	130	9	(	(	PUNCT
ejpam-1920	130	10	ghm	ghm	PROPN
ejpam-1920	130	11	gi	gi	PROPN
ejpam-1920	130	12	jsmk	jsmk	PROPN
ejpam-1920	130	13	,	,	PUNCT
ejpam-1920	130	14	l	l	PROPN
ejpam-1920	130	15	−δh	−δh	PROPN
ejpam-1920	130	16	j	j	PROPN
ejpam-1920	130	17	sik	sik	PROPN
ejpam-1920	130	18	,	,	PUNCT
ejpam-1920	130	19	l	l	PROPN
ejpam-1920	131	1	+	+	NOUN
ejpam-1920	131	2	δ	δ	PROPN
ejpam-1920	131	3	h	h	NOUN
ejpam-1920	131	4	ksi	ksi	PROPN
ejpam-1920	131	5	j	j	PROPN
ejpam-1920	131	6	,	,	PUNCT
ejpam-1920	131	7	l	l	PROPN
ejpam-1920	131	8	−	−	PROPN
ejpam-1920	131	9	ghm	ghm	PROPN
ejpam-1920	131	10	giksmj	giksmj	PROPN
ejpam-1920	131	11	,	,	PUNCT
ejpam-1920	131	12	l	l	NOUN
ejpam-1920	131	13	)	)	PUNCT
ejpam-1920	131	14	.	.	PUNCT
ejpam-1920	132	1	(	(	PUNCT
ejpam-1920	132	2	20	20	X
ejpam-1920	132	3	)	)	PUNCT
ejpam-1920	132	4	contracting	contracting	NOUN
ejpam-1920	132	5	on	on	ADP
ejpam-1920	132	6	h	h	NOUN
ejpam-1920	132	7	and	and	CCONJ
ejpam-1920	132	8	l	l	NOUN
ejpam-1920	132	9	in	in	ADP
ejpam-1920	132	10	(	(	PUNCT
ejpam-1920	132	11	20	20	NUM
ejpam-1920	132	12	)	)	PUNCT
ejpam-1920	132	13	,	,	PUNCT
ejpam-1920	132	14	we	we	PRON
ejpam-1920	132	15	find	find	VERB
ejpam-1920	132	16	hh	hh	PROPN
ejpam-1920	132	17	i	i	PROPN
ejpam-1920	132	18	jk	jk	PROPN
ejpam-1920	132	19	,	,	PUNCT
ejpam-1920	132	20	h	h	NOUN
ejpam-1920	133	1	=	=	SYM
ejpam-1920	133	2	rh	rh	PROPN
ejpam-1920	133	3	i	i	PROPN
ejpam-1920	133	4	jk	jk	PROPN
ejpam-1920	133	5	,	,	PUNCT
ejpam-1920	133	6	h	h	NOUN
ejpam-1920	133	7	−	−	PROPN
ejpam-1920	133	8	1	1	NUM
ejpam-1920	133	9	n−	n−	NOUN
ejpam-1920	133	10	2	2	NUM
ejpam-1920	133	11	(	(	PUNCT
ejpam-1920	133	12	gi	gi	INTJ
ejpam-1920	133	13	js	js	PROPN
ejpam-1920	133	14	h	h	PROPN
ejpam-1920	134	1	k	k	PROPN
ejpam-1920	134	2	,	,	PUNCT
ejpam-1920	134	3	h	h	NOUN
ejpam-1920	134	4	−	−	PROPN
ejpam-1920	134	5	sik	sik	PROPN
ejpam-1920	134	6	,	,	PUNCT
ejpam-1920	134	7	j	j	PROPN
ejpam-1920	134	8	+	+	CCONJ
ejpam-1920	134	9	si	si	PROPN
ejpam-1920	134	10	j	j	PROPN
ejpam-1920	134	11	,	,	PUNCT
ejpam-1920	134	12	k	k	PROPN
ejpam-1920	134	13	+	+	CCONJ
ejpam-1920	134	14	giksh	giksh	PROPN
ejpam-1920	134	15	j	j	PROPN
ejpam-1920	134	16	,	,	PUNCT
ejpam-1920	134	17	h	h	NOUN
ejpam-1920	134	18	)	)	PUNCT
ejpam-1920	134	19	.	.	PUNCT
ejpam-1920	135	1	(	(	PUNCT
ejpam-1920	135	2	21	21	NUM
ejpam-1920	135	3	)	)	PUNCT
ejpam-1920	135	4	by	by	ADP
ejpam-1920	135	5	using	use	VERB
ejpam-1920	135	6	(	(	PUNCT
ejpam-1920	135	7	18	18	NUM
ejpam-1920	135	8	)	)	PUNCT
ejpam-1920	135	9	and	and	CCONJ
ejpam-1920	135	10	(	(	PUNCT
ejpam-1920	135	11	19	19	NUM
ejpam-1920	135	12	)	)	PUNCT
ejpam-1920	135	13	,	,	PUNCT
ejpam-1920	135	14	(	(	PUNCT
ejpam-1920	135	15	21	21	NUM
ejpam-1920	135	16	)	)	PUNCT
ejpam-1920	135	17	reduces	reduce	VERB
ejpam-1920	135	18	to	to	AUX
ejpam-1920	135	19	hh	hh	PROPN
ejpam-1920	135	20	i	i	PROPN
ejpam-1920	135	21	jk	jk	PROPN
ejpam-1920	135	22	,	,	PUNCT
ejpam-1920	135	23	h	h	NOUN
ejpam-1920	135	24	=	=	PUNCT
ejpam-1920	135	25	n−	n−	NOUN
ejpam-1920	135	26	3	3	NUM
ejpam-1920	135	27	n−	n−	NOUN
ejpam-1920	135	28	2	2	NUM
ejpam-1920	135	29	(	(	PUNCT
ejpam-1920	135	30	si	si	PROPN
ejpam-1920	135	31	j	j	PROPN
ejpam-1920	135	32	,	,	PUNCT
ejpam-1920	135	33	k	k	PROPN
ejpam-1920	135	34	−	−	PROPN
ejpam-1920	135	35	sik	sik	NOUN
ejpam-1920	135	36	,	,	PUNCT
ejpam-1920	135	37	j)−	j)−	PROPN
ejpam-1920	135	38	1	1	NUM
ejpam-1920	135	39	2(n−	2(n−	NUM
ejpam-1920	135	40	2	2	NUM
ejpam-1920	135	41	)	)	PUNCT
ejpam-1920	135	42	(	(	PUNCT
ejpam-1920	135	43	gi	gi	ADP
ejpam-1920	135	44	j	j	PROPN
ejpam-1920	135	45	r	r	PROPN
ejpam-1920	135	46	,	,	PUNCT
ejpam-1920	135	47	k	k	PROPN
ejpam-1920	135	48	−	−	PROPN
ejpam-1920	135	49	gikr	gikr	PROPN
ejpam-1920	135	50	,	,	PUNCT
ejpam-1920	135	51	j	j	PROPN
ejpam-1920	135	52	)	)	PUNCT
ejpam-1920	135	53	.	.	PUNCT
ejpam-1920	136	1	(	(	PUNCT
ejpam-1920	136	2	22	22	NUM
ejpam-1920	136	3	)	)	PUNCT
ejpam-1920	136	4	f.	f.	NOUN
ejpam-1920	136	5	zengin	zengin	NOUN
ejpam-1920	136	6	,	,	PUNCT
ejpam-1920	136	7	a.	a.	NOUN
ejpam-1920	136	8	taşcı	taşcı	PROPN
ejpam-1920	136	9	/	/	SYM
ejpam-1920	136	10	eur	eur	PROPN
ejpam-1920	136	11	.	.	PUNCT
ejpam-1920	137	1	j.	j.	PROPN
ejpam-1920	137	2	pure	pure	PROPN
ejpam-1920	137	3	appl	appl	PROPN
ejpam-1920	137	4	.	.	PROPN
ejpam-1920	137	5	math	math	PROPN
ejpam-1920	137	6	,	,	PUNCT
ejpam-1920	137	7	7	7	NUM
ejpam-1920	137	8	(	(	PUNCT
ejpam-1920	137	9	2014	2014	NUM
ejpam-1920	137	10	)	)	PUNCT
ejpam-1920	137	11	,	,	PUNCT
ejpam-1920	137	12	246	246	NUM
ejpam-1920	137	13	-	-	SYM
ejpam-1920	137	14	255	255	NUM
ejpam-1920	137	15	251	251	NUM
ejpam-1920	137	16	if	if	SCONJ
ejpam-1920	137	17	we	we	PRON
ejpam-1920	137	18	assume	assume	VERB
ejpam-1920	137	19	that	that	SCONJ
ejpam-1920	137	20	the	the	DET
ejpam-1920	137	21	conharmonic	conharmonic	ADJ
ejpam-1920	137	22	curvature	curvature	NOUN
ejpam-1920	137	23	tensor	tensor	NOUN
ejpam-1920	137	24	of	of	ADP
ejpam-1920	137	25	this	this	DET
ejpam-1920	137	26	manifold	manifold	NOUN
ejpam-1920	137	27	is	be	AUX
ejpam-1920	137	28	divergence	divergence	NOUN
ejpam-1920	137	29	-	-	PUNCT
ejpam-1920	137	30	free	free	ADJ
ejpam-1920	137	31	then	then	ADV
ejpam-1920	137	32	we	we	PRON
ejpam-1920	137	33	find	find	VERB
ejpam-1920	137	34	from	from	ADP
ejpam-1920	137	35	(	(	PUNCT
ejpam-1920	137	36	22	22	NUM
ejpam-1920	137	37	)	)	PUNCT
ejpam-1920	137	38	(	(	PUNCT
ejpam-1920	137	39	n−	n−	NOUN
ejpam-1920	137	40	3)(si	3)(si	PROPN
ejpam-1920	137	41	j	j	PROPN
ejpam-1920	137	42	,	,	PUNCT
ejpam-1920	137	43	k	k	PROPN
ejpam-1920	137	44	−	−	PROPN
ejpam-1920	137	45	sik	sik	NOUN
ejpam-1920	137	46	,	,	PUNCT
ejpam-1920	137	47	j)−	j)−	PROPN
ejpam-1920	137	48	1	1	NUM
ejpam-1920	137	49	2	2	NUM
ejpam-1920	137	50	(	(	PUNCT
ejpam-1920	137	51	gi	gi	ADP
ejpam-1920	137	52	j	j	PROPN
ejpam-1920	137	53	r	r	PROPN
ejpam-1920	137	54	,	,	PUNCT
ejpam-1920	137	55	k	k	PROPN
ejpam-1920	137	56	−	−	PROPN
ejpam-1920	137	57	gikr	gikr	PROPN
ejpam-1920	137	58	,	,	PUNCT
ejpam-1920	137	59	j	j	PROPN
ejpam-1920	137	60	)	)	PUNCT
ejpam-1920	137	61	=	=	SYM
ejpam-1920	138	1	0	0	X
ejpam-1920	138	2	.	.	PUNCT
ejpam-1920	139	1	(	(	PUNCT
ejpam-1920	139	2	23	23	NUM
ejpam-1920	139	3	)	)	PUNCT
ejpam-1920	139	4	multiplying	multiplying	NOUN
ejpam-1920	139	5	(	(	PUNCT
ejpam-1920	139	6	23	23	NUM
ejpam-1920	139	7	)	)	PUNCT
ejpam-1920	139	8	by	by	ADP
ejpam-1920	139	9	g	g	PROPN
ejpam-1920	139	10	i	i	PROPN
ejpam-1920	139	11	j	j	PROPN
ejpam-1920	139	12	and	and	CCONJ
ejpam-1920	139	13	putting	put	VERB
ejpam-1920	139	14	(	(	PUNCT
ejpam-1920	139	15	19	19	NUM
ejpam-1920	139	16	)	)	PUNCT
ejpam-1920	139	17	in	in	ADP
ejpam-1920	139	18	(	(	PUNCT
ejpam-1920	139	19	23	23	NUM
ejpam-1920	139	20	)	)	PUNCT
ejpam-1920	139	21	,	,	PUNCT
ejpam-1920	139	22	we	we	PRON
ejpam-1920	139	23	obtain	obtain	VERB
ejpam-1920	139	24	r	r	NOUN
ejpam-1920	139	25	,	,	PUNCT
ejpam-1920	139	26	k	k	NOUN
ejpam-1920	139	27	=	=	SYM
ejpam-1920	139	28	0	0	PROPN
ejpam-1920	139	29	.	.	PUNCT
ejpam-1920	140	1	thus	thus	ADV
ejpam-1920	140	2	,	,	PUNCT
ejpam-1920	140	3	we	we	PRON
ejpam-1920	140	4	get	get	VERB
ejpam-1920	140	5	finally	finally	ADV
ejpam-1920	140	6	that	that	SCONJ
ejpam-1920	140	7	the	the	DET
ejpam-1920	140	8	scalar	scalar	ADJ
ejpam-1920	140	9	curvature	curvature	NOUN
ejpam-1920	140	10	of	of	ADP
ejpam-1920	140	11	this	this	DET
ejpam-1920	140	12	manifold	manifold	ADJ
ejpam-1920	140	13	r	r	NOUN
ejpam-1920	140	14	is	be	AUX
ejpam-1920	140	15	constant	constant	ADJ
ejpam-1920	140	16	.	.	PUNCT
ejpam-1920	141	1	this	this	PRON
ejpam-1920	141	2	completes	complete	VERB
ejpam-1920	141	3	the	the	DET
ejpam-1920	141	4	proof	proof	NOUN
ejpam-1920	141	5	.	.	PUNCT
ejpam-1920	142	1	theorem	theorem	ADJ
ejpam-1920	142	2	4	4	NUM
ejpam-1920	142	3	.	.	PUNCT
ejpam-1920	143	1	a	a	PRON
ejpam-1920	143	2	(	(	PUNCT
ejpam-1920	143	3	pchs)n	pchs)n	NOUN
ejpam-1920	143	4	admits	admit	VERB
ejpam-1920	143	5	divergence	divergence	ADJ
ejpam-1920	143	6	-	-	PUNCT
ejpam-1920	143	7	free	free	ADJ
ejpam-1920	143	8	conharmonic	conharmonic	ADJ
ejpam-1920	143	9	curvature	curvature	NOUN
ejpam-1920	143	10	tensor	tensor	NOUN
ejpam-1920	143	11	is	be	AUX
ejpam-1920	143	12	of	of	ADP
ejpam-1920	143	13	zero	zero	NUM
ejpam-1920	143	14	scalar	scalar	ADJ
ejpam-1920	143	15	curvature	curvature	NOUN
ejpam-1920	143	16	tensor	tensor	NOUN
ejpam-1920	143	17	.	.	PUNCT
ejpam-1920	144	1	proof	proof	NOUN
ejpam-1920	144	2	.	.	PUNCT
ejpam-1920	145	1	assuming	assume	VERB
ejpam-1920	145	2	that	that	SCONJ
ejpam-1920	145	3	the	the	DET
ejpam-1920	145	4	conharmonic	conharmonic	ADJ
ejpam-1920	145	5	curvature	curvature	NOUN
ejpam-1920	145	6	tensor	tensor	NOUN
ejpam-1920	145	7	of	of	ADP
ejpam-1920	145	8	(	(	PUNCT
ejpam-1920	145	9	pchs)n	pchs)n	PROPN
ejpam-1920	145	10	is	be	AUX
ejpam-1920	145	11	divergence	divergence	NOUN
ejpam-1920	145	12	-	-	PUNCT
ejpam-1920	145	13	free	free	ADJ
ejpam-1920	145	14	,	,	PUNCT
ejpam-1920	145	15	from	from	ADP
ejpam-1920	145	16	(	(	PUNCT
ejpam-1920	145	17	7	7	NUM
ejpam-1920	145	18	)	)	PUNCT
ejpam-1920	145	19	,	,	PUNCT
ejpam-1920	145	20	we	we	PRON
ejpam-1920	145	21	get	get	VERB
ejpam-1920	145	22	2ahhh	2ahhh	NUM
ejpam-1920	145	23	i	i	PROPN
ejpam-1920	145	24	jk	jk	PROPN
ejpam-1920	146	1	+	+	CCONJ
ejpam-1920	147	1	ahhhi	ahhhi	NOUN
ejpam-1920	147	2	jk	jk	PROPN
ejpam-1920	147	3	−	−	PROPN
ejpam-1920	147	4	a	a	DET
ejpam-1920	147	5	jh	jh	PROPN
ejpam-1920	147	6	ik	ik	PROPN
ejpam-1920	148	1	+	+	CCONJ
ejpam-1920	148	2	akh	akh	PROPN
ejpam-1920	149	1	i	i	PROPN
ejpam-1920	149	2	j	j	PROPN
ejpam-1920	149	3	=	=	PUNCT
ejpam-1920	149	4	0	0	PROPN
ejpam-1920	149	5	.	.	PUNCT
ejpam-1920	150	1	(	(	PUNCT
ejpam-1920	150	2	24	24	NUM
ejpam-1920	150	3	)	)	PUNCT
ejpam-1920	150	4	multiplying	multiplying	NOUN
ejpam-1920	150	5	(	(	PUNCT
ejpam-1920	150	6	24	24	NUM
ejpam-1920	150	7	)	)	PUNCT
ejpam-1920	150	8	by	by	ADP
ejpam-1920	150	9	g	g	PROPN
ejpam-1920	151	1	i	i	PRON
ejpam-1920	151	2	j	j	PROPN
ejpam-1920	151	3	we	we	PRON
ejpam-1920	151	4	obtain	obtain	VERB
ejpam-1920	151	5	2ahhhk	2ahhhk	NUM
ejpam-1920	151	6	=	=	SYM
ejpam-1920	151	7	−hak	−hak	PROPN
ejpam-1920	151	8	.	.	PUNCT
ejpam-1920	152	1	(	(	PUNCT
ejpam-1920	152	2	25	25	NUM
ejpam-1920	152	3	)	)	PUNCT
ejpam-1920	152	4	it	it	PRON
ejpam-1920	152	5	follows	follow	VERB
ejpam-1920	152	6	from	from	ADP
ejpam-1920	152	7	(	(	PUNCT
ejpam-1920	152	8	6	6	NUM
ejpam-1920	152	9	)	)	PUNCT
ejpam-1920	152	10	and	and	CCONJ
ejpam-1920	152	11	(	(	PUNCT
ejpam-1920	152	12	25	25	NUM
ejpam-1920	152	13	)	)	PUNCT
ejpam-1920	152	14	rak	rak	NOUN
ejpam-1920	153	1	=	=	PUNCT
ejpam-1920	154	1	0	0	X
ejpam-1920	154	2	.	.	PUNCT
ejpam-1920	155	1	(	(	PUNCT
ejpam-1920	155	2	26	26	NUM
ejpam-1920	155	3	)	)	PUNCT
ejpam-1920	155	4	since	since	SCONJ
ejpam-1920	155	5	ak	ak	PROPN
ejpam-1920	155	6	is	be	AUX
ejpam-1920	155	7	not	not	PART
ejpam-1920	155	8	zero	zero	NUM
ejpam-1920	155	9	for	for	ADP
ejpam-1920	155	10	(	(	PUNCT
ejpam-1920	155	11	pchs)n	pchs)n	PROPN
ejpam-1920	155	12	,	,	PUNCT
ejpam-1920	155	13	we	we	PRON
ejpam-1920	155	14	get	get	VERB
ejpam-1920	155	15	r	r	NOUN
ejpam-1920	155	16	must	must	AUX
ejpam-1920	155	17	be	be	AUX
ejpam-1920	155	18	zero	zero	NUM
ejpam-1920	155	19	.	.	PUNCT
ejpam-1920	156	1	the	the	DET
ejpam-1920	156	2	proof	proof	NOUN
ejpam-1920	156	3	is	be	AUX
ejpam-1920	156	4	completed	complete	VERB
ejpam-1920	156	5	.	.	PUNCT
ejpam-1920	157	1	theorem	theorem	NOUN
ejpam-1920	157	2	5	5	NUM
ejpam-1920	157	3	.	.	PUNCT
ejpam-1920	158	1	if	if	SCONJ
ejpam-1920	158	2	(	(	PUNCT
ejpam-1920	158	3	pchs)n	pchs)n	NOUN
ejpam-1920	158	4	is	be	AUX
ejpam-1920	158	5	recurrent	recurrent	ADJ
ejpam-1920	158	6	then	then	ADV
ejpam-1920	158	7	either	either	CCONJ
ejpam-1920	158	8	the	the	DET
ejpam-1920	158	9	scalar	scalar	ADJ
ejpam-1920	158	10	curvature	curvature	NOUN
ejpam-1920	158	11	of	of	ADP
ejpam-1920	158	12	this	this	DET
ejpam-1920	158	13	manifold	manifold	NOUN
ejpam-1920	158	14	is	be	AUX
ejpam-1920	158	15	zero	zero	NUM
ejpam-1920	158	16	or	or	CCONJ
ejpam-1920	158	17	the	the	DET
ejpam-1920	158	18	recurrence	recurrence	NOUN
ejpam-1920	158	19	vector	vector	NOUN
ejpam-1920	158	20	field	field	NOUN
ejpam-1920	158	21	and	and	CCONJ
ejpam-1920	158	22	the	the	DET
ejpam-1920	158	23	associated	associated	ADJ
ejpam-1920	158	24	1	1	NUM
ejpam-1920	158	25	-	-	PUNCT
ejpam-1920	158	26	form	form	NOUN
ejpam-1920	158	27	are	be	AUX
ejpam-1920	158	28	related	relate	VERB
ejpam-1920	158	29	by	by	ADP
ejpam-1920	158	30	λl	λl	NOUN
ejpam-1920	159	1	=	=	SYM
ejpam-1920	159	2	2(n+	2(n+	NOUN
ejpam-1920	159	3	2	2	NUM
ejpam-1920	159	4	)	)	PUNCT
ejpam-1920	160	1	n	n	PROPN
ejpam-1920	160	2	al	al	PROPN
ejpam-1920	160	3	.	.	PUNCT
ejpam-1920	161	1	proof	proof	NOUN
ejpam-1920	161	2	.	.	PUNCT
ejpam-1920	162	1	by	by	ADP
ejpam-1920	162	2	taking	take	VERB
ejpam-1920	162	3	the	the	DET
ejpam-1920	162	4	covariant	covariant	ADJ
ejpam-1920	162	5	derivative	derivative	NOUN
ejpam-1920	162	6	of	of	ADP
ejpam-1920	162	7	(	(	PUNCT
ejpam-1920	162	8	6	6	NUM
ejpam-1920	162	9	)	)	PUNCT
ejpam-1920	162	10	,	,	PUNCT
ejpam-1920	162	11	we	we	PRON
ejpam-1920	162	12	get	get	VERB
ejpam-1920	162	13	hhi	hhi	PROPN
ejpam-1920	162	14	jk	jk	PROPN
ejpam-1920	162	15	,	,	PUNCT
ejpam-1920	162	16	l	l	PROPN
ejpam-1920	163	1	=	=	PROPN
ejpam-1920	163	2	rhi	rhi	PROPN
ejpam-1920	163	3	jk	jk	PROPN
ejpam-1920	163	4	,	,	PUNCT
ejpam-1920	163	5	l	l	PROPN
ejpam-1920	163	6	−	−	PROPN
ejpam-1920	163	7	1	1	NUM
ejpam-1920	163	8	n−	n−	NOUN
ejpam-1920	163	9	2	2	NUM
ejpam-1920	163	10	(	(	PUNCT
ejpam-1920	163	11	gi	gi	NOUN
ejpam-1920	163	12	jshk	jshk	PROPN
ejpam-1920	163	13	,	,	PUNCT
ejpam-1920	163	14	l	l	PROPN
ejpam-1920	163	15	−	−	PROPN
ejpam-1920	163	16	gh	gh	PROPN
ejpam-1920	163	17	jsik	jsik	PROPN
ejpam-1920	163	18	,	,	PUNCT
ejpam-1920	163	19	l	l	PROPN
ejpam-1920	163	20	+	+	CCONJ
ejpam-1920	163	21	ghksi	ghksi	PROPN
ejpam-1920	163	22	j	j	PROPN
ejpam-1920	163	23	,	,	PUNCT
ejpam-1920	163	24	l	l	NOUN
ejpam-1920	163	25	−	−	PROPN
ejpam-1920	163	26	giksh	giksh	PROPN
ejpam-1920	163	27	j	j	PROPN
ejpam-1920	163	28	,	,	PUNCT
ejpam-1920	163	29	l	l	PROPN
ejpam-1920	163	30	)	)	PUNCT
ejpam-1920	163	31	.	.	PUNCT
ejpam-1920	164	1	(	(	PUNCT
ejpam-1920	164	2	27	27	NUM
ejpam-1920	164	3	)	)	PUNCT
ejpam-1920	164	4	comparing	compare	VERB
ejpam-1920	164	5	(	(	PUNCT
ejpam-1920	164	6	27	27	NUM
ejpam-1920	164	7	)	)	PUNCT
ejpam-1920	164	8	with	with	ADP
ejpam-1920	164	9	(	(	PUNCT
ejpam-1920	164	10	7	7	NUM
ejpam-1920	164	11	)	)	PUNCT
ejpam-1920	164	12	,	,	PUNCT
ejpam-1920	164	13	using	use	VERB
ejpam-1920	164	14	(	(	PUNCT
ejpam-1920	164	15	6	6	NUM
ejpam-1920	164	16	)	)	PUNCT
ejpam-1920	164	17	and	and	CCONJ
ejpam-1920	164	18	assuming	assume	VERB
ejpam-1920	164	19	our	our	PRON
ejpam-1920	164	20	manifold	manifold	NOUN
ejpam-1920	164	21	is	be	AUX
ejpam-1920	164	22	recurrent	recurrent	ADJ
ejpam-1920	164	23	,	,	PUNCT
ejpam-1920	164	24	i.e	i.e	PRON
ejpam-1920	164	25	,	,	PUNCT
ejpam-1920	164	26	we	we	PRON
ejpam-1920	164	27	have	have	VERB
ejpam-1920	164	28	that	that	DET
ejpam-1920	164	29	rhi	rhi	PROPN
ejpam-1920	164	30	jk	jk	PROPN
ejpam-1920	164	31	,	,	PUNCT
ejpam-1920	164	32	l	l	PROPN
ejpam-1920	165	1	=	=	PUNCT
ejpam-1920	165	2	λlrhi	λlrhi	PROPN
ejpam-1920	165	3	jk	jk	PROPN
ejpam-1920	165	4	(	(	PUNCT
ejpam-1920	165	5	28	28	NUM
ejpam-1920	165	6	)	)	PUNCT
ejpam-1920	165	7	and	and	CCONJ
ejpam-1920	165	8	si	si	PROPN
ejpam-1920	165	9	j	j	PROPN
ejpam-1920	165	10	,	,	PUNCT
ejpam-1920	165	11	l	l	PROPN
ejpam-1920	165	12	=	=	PUNCT
ejpam-1920	166	1	λlsi	λlsi	ADJ
ejpam-1920	166	2	j	j	PROPN
ejpam-1920	166	3	,	,	PUNCT
ejpam-1920	166	4	r	r	NOUN
ejpam-1920	166	5	,	,	PUNCT
ejpam-1920	166	6	l	l	NOUN
ejpam-1920	166	7	=	=	PUNCT
ejpam-1920	167	1	λl	λl	VERB
ejpam-1920	167	2	r	r	NOUN
ejpam-1920	167	3	(	(	PUNCT
ejpam-1920	167	4	29	29	NUM
ejpam-1920	167	5	)	)	PUNCT
ejpam-1920	167	6	are	be	AUX
ejpam-1920	167	7	satisfied	satisfied	ADJ
ejpam-1920	167	8	.	.	PUNCT
ejpam-1920	168	1	then	then	ADV
ejpam-1920	168	2	from	from	ADP
ejpam-1920	168	3	(	(	PUNCT
ejpam-1920	168	4	6	6	NUM
ejpam-1920	168	5	)	)	PUNCT
ejpam-1920	168	6	,	,	PUNCT
ejpam-1920	168	7	(	(	PUNCT
ejpam-1920	168	8	7	7	NUM
ejpam-1920	168	9	)	)	PUNCT
ejpam-1920	168	10	,	,	PUNCT
ejpam-1920	168	11	(	(	PUNCT
ejpam-1920	168	12	28	28	NUM
ejpam-1920	168	13	)	)	PUNCT
ejpam-1920	168	14	and	and	CCONJ
ejpam-1920	168	15	(	(	PUNCT
ejpam-1920	168	16	29	29	NUM
ejpam-1920	168	17	)	)	PUNCT
ejpam-1920	168	18	,	,	PUNCT
ejpam-1920	168	19	we	we	PRON
ejpam-1920	168	20	obtain	obtain	VERB
ejpam-1920	168	21	(	(	PUNCT
ejpam-1920	168	22	λl	λl	VERB
ejpam-1920	168	23	−	−	PROPN
ejpam-1920	168	24	2al)rhi	2al)rhi	NUM
ejpam-1920	168	25	jk	jk	PROPN
ejpam-1920	169	1	−	−	PROPN
ejpam-1920	170	1	ahrl	ahrl	VERB
ejpam-1920	171	1	i	i	PRON
ejpam-1920	171	2	jk	jk	PROPN
ejpam-1920	171	3	−	−	PROPN
ejpam-1920	171	4	airhl	airhl	NOUN
ejpam-1920	172	1	jk	jk	PROPN
ejpam-1920	173	1	−	−	PROPN
ejpam-1920	173	2	a	a	DET
ejpam-1920	173	3	jrhilk	jrhilk	NOUN
ejpam-1920	173	4	+	+	CCONJ
ejpam-1920	173	5	akrhi	akrhi	NOUN
ejpam-1920	173	6	jl	jl	NOUN
ejpam-1920	173	7	+	+	CCONJ
ejpam-1920	173	8	1	1	NUM
ejpam-1920	173	9	n−	n−	NOUN
ejpam-1920	173	10	2	2	NUM
ejpam-1920	174	1	[	[	X
ejpam-1920	174	2	shk(2al	shk(2al	X
ejpam-1920	174	3	gi	gi	INTJ
ejpam-1920	174	4	j	j	PROPN
ejpam-1920	175	1	+	+	CCONJ
ejpam-1920	175	2	ai	ai	VERB
ejpam-1920	175	3	gl	gl	PROPN
ejpam-1920	175	4	j	j	PROPN
ejpam-1920	176	1	+	+	CCONJ
ejpam-1920	176	2	a	a	DET
ejpam-1920	176	3	j	j	NOUN
ejpam-1920	176	4	gil	gil	PROPN
ejpam-1920	176	5	−λl	−λl	PROPN
ejpam-1920	176	6	gi	gi	PROPN
ejpam-1920	176	7	j	j	PROPN
ejpam-1920	176	8	)	)	PUNCT
ejpam-1920	176	9	f.	f.	PROPN
ejpam-1920	176	10	zengin	zengin	PROPN
ejpam-1920	176	11	,	,	PUNCT
ejpam-1920	176	12	a.	a.	NOUN
ejpam-1920	176	13	taşcı	taşcı	PROPN
ejpam-1920	176	14	/	/	SYM
ejpam-1920	176	15	eur	eur	PROPN
ejpam-1920	176	16	.	.	PUNCT
ejpam-1920	177	1	j.	j.	PROPN
ejpam-1920	177	2	pure	pure	PROPN
ejpam-1920	177	3	appl	appl	PROPN
ejpam-1920	177	4	.	.	PROPN
ejpam-1920	177	5	math	math	PROPN
ejpam-1920	177	6	,	,	PUNCT
ejpam-1920	177	7	7	7	NUM
ejpam-1920	177	8	(	(	PUNCT
ejpam-1920	177	9	2014	2014	NUM
ejpam-1920	177	10	)	)	PUNCT
ejpam-1920	177	11	,	,	PUNCT
ejpam-1920	177	12	246	246	NUM
ejpam-1920	177	13	-	-	SYM
ejpam-1920	177	14	255	255	NUM
ejpam-1920	177	15	252	252	NUM
ejpam-1920	177	16	−	−	NOUN
ejpam-1920	177	17	sik(2al	sik(2al	NUM
ejpam-1920	177	18	gh	gh	PROPN
ejpam-1920	177	19	j	j	PROPN
ejpam-1920	178	1	+	+	CCONJ
ejpam-1920	178	2	ah	ah	INTJ
ejpam-1920	178	3	gl	gl	INTJ
ejpam-1920	178	4	j	j	PROPN
ejpam-1920	178	5	+	+	CCONJ
ejpam-1920	178	6	a	a	DET
ejpam-1920	178	7	j	j	PROPN
ejpam-1920	178	8	ghl	ghl	PROPN
ejpam-1920	178	9	−λl	−λl	PROPN
ejpam-1920	178	10	gh	gh	PROPN
ejpam-1920	178	11	j	j	PROPN
ejpam-1920	178	12	)	)	PUNCT
ejpam-1920	179	1	+	+	CCONJ
ejpam-1920	179	2	si	si	X
ejpam-1920	179	3	j(2al	j(2al	NOUN
ejpam-1920	179	4	ghk	ghk	NOUN
ejpam-1920	179	5	+	+	CCONJ
ejpam-1920	179	6	ah	ah	INTJ
ejpam-1920	179	7	glk	glk	PROPN
ejpam-1920	179	8	+	+	CCONJ
ejpam-1920	179	9	ak	ak	PROPN
ejpam-1920	179	10	ghl	ghl	PROPN
ejpam-1920	179	11	−λl	−λl	PROPN
ejpam-1920	179	12	ghk	ghk	NOUN
ejpam-1920	179	13	)	)	PUNCT
ejpam-1920	179	14	−	−	PROPN
ejpam-1920	180	1	sh	sh	PROPN
ejpam-1920	180	2	j(2al	j(2al	PROPN
ejpam-1920	180	3	gik	gik	PROPN
ejpam-1920	180	4	+	+	CCONJ
ejpam-1920	180	5	ai	ai	VERB
ejpam-1920	180	6	glk	glk	PROPN
ejpam-1920	180	7	+	+	PROPN
ejpam-1920	180	8	ak	ak	PROPN
ejpam-1920	180	9	gil	gil	PROPN
ejpam-1920	180	10	−λl	−λl	PROPN
ejpam-1920	180	11	gik	gik	X
ejpam-1920	180	12	)	)	PUNCT
ejpam-1920	180	13	+	+	NUM
ejpam-1920	180	14	slk(ah	slk(ah	NOUN
ejpam-1920	180	15	gi	gi	X
ejpam-1920	180	16	j	j	PROPN
ejpam-1920	180	17	−	−	PROPN
ejpam-1920	180	18	ai	ai	VERB
ejpam-1920	180	19	gh	gh	PROPN
ejpam-1920	180	20	j)−	j)−	PROPN
ejpam-1920	180	21	sl	sl	PROPN
ejpam-1920	180	22	j(ah	j(ah	PROPN
ejpam-1920	180	23	gik	gik	PROPN
ejpam-1920	180	24	−	−	PROPN
ejpam-1920	180	25	ai	ai	NOUN
ejpam-1920	180	26	ghk	ghk	NOUN
ejpam-1920	180	27	)	)	PUNCT
ejpam-1920	180	28	+	+	CCONJ
ejpam-1920	180	29	sil(a	sil(a	PROPN
ejpam-1920	180	30	j	j	PROPN
ejpam-1920	180	31	ghk	ghk	NOUN
ejpam-1920	180	32	−	−	PROPN
ejpam-1920	180	33	ak	ak	PROPN
ejpam-1920	180	34	gh	gh	PROPN
ejpam-1920	180	35	j)−	j)−	PROPN
ejpam-1920	180	36	shl(a	shl(a	PROPN
ejpam-1920	180	37	j	j	PROPN
ejpam-1920	180	38	gik	gik	PROPN
ejpam-1920	180	39	−	−	PROPN
ejpam-1920	180	40	ak	ak	PROPN
ejpam-1920	180	41	gi	gi	PROPN
ejpam-1920	180	42	j	j	PROPN
ejpam-1920	180	43	)	)	PUNCT
ejpam-1920	180	44	]	]	PUNCT
ejpam-1920	181	1	=	=	X
ejpam-1920	181	2	0	0	NUM
ejpam-1920	181	3	(	(	PUNCT
ejpam-1920	181	4	30	30	NUM
ejpam-1920	181	5	)	)	PUNCT
ejpam-1920	181	6	multiplying	multiplying	NOUN
ejpam-1920	181	7	(	(	PUNCT
ejpam-1920	181	8	30	30	NUM
ejpam-1920	181	9	)	)	PUNCT
ejpam-1920	181	10	by	by	ADP
ejpam-1920	181	11	ghk	ghk	NOUN
ejpam-1920	181	12	and	and	CCONJ
ejpam-1920	181	13	g	g	PROPN
ejpam-1920	181	14	i	i	PRON
ejpam-1920	181	15	j	j	PROPN
ejpam-1920	181	16	,	,	PUNCT
ejpam-1920	181	17	we	we	PRON
ejpam-1920	181	18	get	get	VERB
ejpam-1920	181	19	r(−n(λl	r(−n(λl	NOUN
ejpam-1920	181	20	−	−	PROPN
ejpam-1920	181	21	2al	2al	NOUN
ejpam-1920	181	22	)	)	PUNCT
ejpam-1920	182	1	+	+	CCONJ
ejpam-1920	182	2	4al	4al	NOUN
ejpam-1920	182	3	)	)	PUNCT
ejpam-1920	183	1	=	=	SYM
ejpam-1920	183	2	0	0	X
ejpam-1920	183	3	.	.	PUNCT
ejpam-1920	184	1	(	(	PUNCT
ejpam-1920	184	2	31	31	NUM
ejpam-1920	184	3	)	)	PUNCT
ejpam-1920	184	4	it	it	PRON
ejpam-1920	184	5	follows	follow	VERB
ejpam-1920	184	6	from	from	ADP
ejpam-1920	184	7	(	(	PUNCT
ejpam-1920	184	8	31	31	NUM
ejpam-1920	184	9	)	)	PUNCT
ejpam-1920	184	10	that	that	SCONJ
ejpam-1920	184	11	either	either	CCONJ
ejpam-1920	184	12	r	r	NOUN
ejpam-1920	184	13	is	be	AUX
ejpam-1920	184	14	zero	zero	NUM
ejpam-1920	184	15	or	or	CCONJ
ejpam-1920	184	16	λl	λl	VERB
ejpam-1920	184	17	=	=	NOUN
ejpam-1920	184	18	2(n+2	2(n+2	NUM
ejpam-1920	184	19	)	)	PUNCT
ejpam-1920	184	20	n	n	PROPN
ejpam-1920	184	21	al	al	PROPN
ejpam-1920	184	22	.	.	PUNCT
ejpam-1920	185	1	thus	thus	ADV
ejpam-1920	185	2	,	,	PUNCT
ejpam-1920	185	3	this	this	PRON
ejpam-1920	185	4	completes	complete	VERB
ejpam-1920	185	5	the	the	DET
ejpam-1920	185	6	proof	proof	NOUN
ejpam-1920	185	7	.	.	PUNCT
ejpam-1920	186	1	3	3	X
ejpam-1920	186	2	.	.	X
ejpam-1920	186	3	an	an	DET
ejpam-1920	186	4	example	example	NOUN
ejpam-1920	186	5	of	of	ADP
ejpam-1920	186	6	(	(	PUNCT
ejpam-1920	186	7	pchs)n	pchs)n	PROPN
ejpam-1920	186	8	in	in	ADP
ejpam-1920	186	9	this	this	DET
ejpam-1920	186	10	section	section	NOUN
ejpam-1920	186	11	we	we	PRON
ejpam-1920	186	12	will	will	AUX
ejpam-1920	186	13	give	give	VERB
ejpam-1920	186	14	an	an	DET
ejpam-1920	186	15	example	example	NOUN
ejpam-1920	186	16	for	for	ADP
ejpam-1920	186	17	(	(	PUNCT
ejpam-1920	186	18	pchs)n	pchs)n	VERB
ejpam-1920	186	19	satisfying	satisfy	VERB
ejpam-1920	186	20	the	the	DET
ejpam-1920	186	21	conditions	condition	NOUN
ejpam-1920	186	22	(	(	PUNCT
ejpam-1920	186	23	6	6	NUM
ejpam-1920	186	24	)	)	PUNCT
ejpam-1920	186	25	and	and	CCONJ
ejpam-1920	186	26	(	(	PUNCT
ejpam-1920	186	27	7	7	NUM
ejpam-1920	186	28	)	)	PUNCT
ejpam-1920	186	29	.	.	PUNCT
ejpam-1920	187	1	we	we	PRON
ejpam-1920	187	2	define	define	VERB
ejpam-1920	187	3	a	a	DET
ejpam-1920	187	4	riemannian	riemannian	ADJ
ejpam-1920	187	5	metric	metric	NOUN
ejpam-1920	187	6	on	on	ADP
ejpam-1920	187	7	rn	rn	PROPN
ejpam-1920	187	8	(	(	PUNCT
ejpam-1920	187	9	n≥	n≥	NOUN
ejpam-1920	187	10	4	4	NUM
ejpam-1920	187	11	)	)	PUNCT
ejpam-1920	187	12	by	by	ADP
ejpam-1920	187	13	the	the	DET
ejpam-1920	187	14	formula,[18	formula,[18	PROPN
ejpam-1920	187	15	]	]	PUNCT
ejpam-1920	187	16	ds2	ds2	PROPN
ejpam-1920	187	17	=	=	PUNCT
ejpam-1920	188	1	ϕ(d	ϕ(d	NOUN
ejpam-1920	188	2	x1)2	x1)2	PROPN
ejpam-1920	189	1	+	+	NUM
ejpam-1920	189	2	kαβd	kαβd	PROPN
ejpam-1920	189	3	xαd	xαd	VERB
ejpam-1920	189	4	xβ	xβ	PROPN
ejpam-1920	189	5	+	+	CCONJ
ejpam-1920	189	6	2d	2d	NUM
ejpam-1920	189	7	x1d	x1d	PUNCT
ejpam-1920	189	8	xn	xn	PROPN
ejpam-1920	190	1	(	(	PUNCT
ejpam-1920	190	2	32	32	NUM
ejpam-1920	190	3	)	)	PUNCT
ejpam-1920	190	4	where	where	SCONJ
ejpam-1920	190	5	[	[	X
ejpam-1920	190	6	kαβ	kαβ	X
ejpam-1920	190	7	]	]	X
ejpam-1920	190	8	is	be	AUX
ejpam-1920	190	9	a	a	DET
ejpam-1920	190	10	symmetric	symmetric	ADJ
ejpam-1920	190	11	and	and	CCONJ
ejpam-1920	190	12	non	non	ADJ
ejpam-1920	190	13	-	-	ADJ
ejpam-1920	190	14	singular	singular	ADJ
ejpam-1920	190	15	matrix	matrix	NOUN
ejpam-1920	190	16	consisting	consist	VERB
ejpam-1920	190	17	of	of	ADP
ejpam-1920	190	18	constant	constant	ADJ
ejpam-1920	190	19	and	and	CCONJ
ejpam-1920	190	20	ϕ	ϕ	NOUN
ejpam-1920	190	21	is	be	AUX
ejpam-1920	190	22	a	a	DET
ejpam-1920	190	23	function	function	NOUN
ejpam-1920	190	24	of	of	ADP
ejpam-1920	190	25	x1	x1	PROPN
ejpam-1920	190	26	,	,	PUNCT
ejpam-1920	190	27	x2	x2	PROPN
ejpam-1920	190	28	,	,	PUNCT
ejpam-1920	190	29	.	.	PUNCT
ejpam-1920	190	30	.	.	PUNCT
ejpam-1920	191	1	.	.	PUNCT
ejpam-1920	192	1	,	,	PUNCT
ejpam-1920	192	2	xn−1	xn−1	PROPN
ejpam-1920	192	3	and	and	CCONJ
ejpam-1920	192	4	independent	independent	ADJ
ejpam-1920	192	5	of	of	ADP
ejpam-1920	192	6	xn	xn	PROPN
ejpam-1920	192	7	.	.	PUNCT
ejpam-1920	192	8	let	let	VERB
ejpam-1920	192	9	each	each	DET
ejpam-1920	192	10	latin	latin	ADJ
ejpam-1920	192	11	index	index	NOUN
ejpam-1920	192	12	runs	run	VERB
ejpam-1920	192	13	over	over	ADP
ejpam-1920	192	14	1	1	NUM
ejpam-1920	192	15	,	,	PUNCT
ejpam-1920	192	16	2	2	NUM
ejpam-1920	192	17	,	,	PUNCT
ejpam-1920	192	18	.	.	PUNCT
ejpam-1920	192	19	.	.	PUNCT
ejpam-1920	193	1	.	.	PUNCT
ejpam-1920	194	1	,	,	PUNCT
ejpam-1920	194	2	n	n	CCONJ
ejpam-1920	194	3	and	and	CCONJ
ejpam-1920	194	4	each	each	DET
ejpam-1920	194	5	greek	greek	ADJ
ejpam-1920	194	6	index	index	NOUN
ejpam-1920	194	7	runs	run	VERB
ejpam-1920	194	8	over	over	ADP
ejpam-1920	194	9	2,3	2,3	NUM
ejpam-1920	194	10	,	,	PUNCT
ejpam-1920	194	11	.	.	PUNCT
ejpam-1920	194	12	.	.	PUNCT
ejpam-1920	194	13	.	.	PUNCT
ejpam-1920	195	1	,	,	PUNCT
ejpam-1920	195	2	(	(	PUNCT
ejpam-1920	195	3	n−	n−	NOUN
ejpam-1920	195	4	1	1	NUM
ejpam-1920	195	5	)	)	PUNCT
ejpam-1920	195	6	.	.	PUNCT
ejpam-1920	196	1	in	in	ADP
ejpam-1920	196	2	the	the	DET
ejpam-1920	196	3	metric	metric	NOUN
ejpam-1920	196	4	considered	consider	VERB
ejpam-1920	196	5	,	,	PUNCT
ejpam-1920	196	6	the	the	DET
ejpam-1920	196	7	only	only	ADJ
ejpam-1920	196	8	non	non	ADJ
ejpam-1920	196	9	-	-	ADJ
ejpam-1920	196	10	vanishing	vanishing	ADJ
ejpam-1920	196	11	components	component	NOUN
ejpam-1920	196	12	of	of	ADP
ejpam-1920	196	13	christoffel	christoffel	ADJ
ejpam-1920	196	14	symbols	symbol	NOUN
ejpam-1920	196	15	,	,	PUNCT
ejpam-1920	196	16	the	the	DET
ejpam-1920	196	17	curvature	curvature	NOUN
ejpam-1920	196	18	tensor	tensor	NOUN
ejpam-1920	196	19	and	and	CCONJ
ejpam-1920	196	20	the	the	DET
ejpam-1920	196	21	ricci	ricci	PROPN
ejpam-1920	196	22	tensor	tensor	NOUN
ejpam-1920	196	23	are	be	AUX
ejpam-1920	196	24	,	,	PUNCT
ejpam-1920	196	25	according	accord	VERB
ejpam-1920	196	26	to	to	ADP
ejpam-1920	196	27	[	[	X
ejpam-1920	196	28	18	18	NUM
ejpam-1920	196	29	]	]	PUNCT
ejpam-1920	196	30	γβ11	γβ11	PROPN
ejpam-1920	196	31	=	=	PUNCT
ejpam-1920	196	32	−	−	PROPN
ejpam-1920	196	33	1	1	NUM
ejpam-1920	196	34	2	2	NUM
ejpam-1920	196	35	kαβϕ,α	kαβϕ,α	PUNCT
ejpam-1920	196	36	,	,	PUNCT
ejpam-1920	196	37	γn	γn	ADV
ejpam-1920	196	38	11	11	NUM
ejpam-1920	196	39	=	=	SYM
ejpam-1920	196	40	1	1	NUM
ejpam-1920	196	41	2	2	NUM
ejpam-1920	196	42	ϕ,1	ϕ,1	NUM
ejpam-1920	196	43	γn	γn	NOUN
ejpam-1920	196	44	1α	1α	NOUN
ejpam-1920	196	45	=	=	SYM
ejpam-1920	196	46	1	1	NUM
ejpam-1920	196	47	2	2	NUM
ejpam-1920	196	48	ϕ,α	ϕ,α	INTJ
ejpam-1920	196	49	r1αβ1	r1αβ1	NOUN
ejpam-1920	197	1	=	=	NOUN
ejpam-1920	198	1	1	1	NUM
ejpam-1920	198	2	2	2	NUM
ejpam-1920	198	3	ϕ,αβ	ϕ,αβ	NUM
ejpam-1920	198	4	,	,	PUNCT
ejpam-1920	198	5	s11	s11	PROPN
ejpam-1920	198	6	=	=	SYM
ejpam-1920	198	7	1	1	NUM
ejpam-1920	198	8	2	2	NUM
ejpam-1920	198	9	kαβϕ,αβ	kαβϕ,αβ	NOUN
ejpam-1920	198	10	(	(	PUNCT
ejpam-1920	198	11	33	33	NUM
ejpam-1920	198	12	)	)	PUNCT
ejpam-1920	198	13	where	where	SCONJ
ejpam-1920	198	14	“	"	PUNCT
ejpam-1920	198	15	,	,	PUNCT
ejpam-1920	198	16	”	"	PUNCT
ejpam-1920	198	17	denotes	denote	VERB
ejpam-1920	198	18	the	the	DET
ejpam-1920	198	19	partial	partial	ADJ
ejpam-1920	198	20	differentiation	differentiation	NOUN
ejpam-1920	198	21	with	with	ADP
ejpam-1920	198	22	respect	respect	NOUN
ejpam-1920	198	23	to	to	ADP
ejpam-1920	198	24	the	the	DET
ejpam-1920	198	25	coordinates	coordinate	NOUN
ejpam-1920	198	26	and	and	CCONJ
ejpam-1920	198	27	kαβ	kαβ	NOUN
ejpam-1920	198	28	are	be	AUX
ejpam-1920	198	29	the	the	DET
ejpam-1920	198	30	elements	element	NOUN
ejpam-1920	198	31	of	of	ADP
ejpam-1920	198	32	the	the	DET
ejpam-1920	198	33	matrix	matrix	NOUN
ejpam-1920	198	34	inverse	inverse	NOUN
ejpam-1920	198	35	to	to	ADP
ejpam-1920	198	36	[	[	X
ejpam-1920	198	37	kαβ	kαβ	X
ejpam-1920	198	38	]	]	X
ejpam-1920	198	39	.	.	PUNCT
ejpam-1920	199	1	we	we	PRON
ejpam-1920	199	2	consider	consider	VERB
ejpam-1920	199	3	kαβ	kαβ	NOUN
ejpam-1920	199	4	as	as	ADP
ejpam-1920	199	5	the	the	DET
ejpam-1920	199	6	kronecker	kronecker	NOUN
ejpam-1920	199	7	symbol	symbol	NOUN
ejpam-1920	199	8	δαβ	δαβ	NOUN
ejpam-1920	199	9	and	and	CCONJ
ejpam-1920	199	10	ϕ	ϕ	NOUN
ejpam-1920	199	11	as	as	ADP
ejpam-1920	199	12	,	,	PUNCT
ejpam-1920	199	13	[	[	X
ejpam-1920	199	14	8	8	NUM
ejpam-1920	199	15	]	]	X
ejpam-1920	199	16	ϕ	ϕ	NOUN
ejpam-1920	199	17	=	=	PUNCT
ejpam-1920	199	18	(	(	PUNCT
ejpam-1920	199	19	mαβ	mαβ	NOUN
ejpam-1920	199	20	+	+	PROPN
ejpam-1920	199	21	δαβ)x	δαβ)x	NOUN
ejpam-1920	199	22	αxβ	αxβ	VERB
ejpam-1920	199	23	e(x	e(x	NUM
ejpam-1920	199	24	1)2	1)2	NUM
ejpam-1920	199	25	(	(	PUNCT
ejpam-1920	199	26	34	34	NUM
ejpam-1920	199	27	)	)	PUNCT
ejpam-1920	199	28	where	where	SCONJ
ejpam-1920	199	29	mαβ	mαβ	NOUN
ejpam-1920	199	30	are	be	AUX
ejpam-1920	199	31	constant	constant	ADJ
ejpam-1920	199	32	and	and	CCONJ
ejpam-1920	199	33	satisfy	satisfy	VERB
ejpam-1920	199	34	the	the	DET
ejpam-1920	199	35	relations	relation	NOUN
ejpam-1920	199	36	mαβ	mαβ	NOUN
ejpam-1920	199	37	=	=	SYM
ejpam-1920	199	38	0	0	NUM
ejpam-1920	199	39	for	for	ADP
ejpam-1920	199	40	α	α	PROPN
ejpam-1920	199	41	6=	6=	ADP
ejpam-1920	199	42	β	β	X
ejpam-1920	199	43	mαβ	mαβ	PROPN
ejpam-1920	199	44	6=	6=	ADP
ejpam-1920	199	45	0	0	NUM
ejpam-1920	199	46	for	for	ADP
ejpam-1920	199	47	α=	α=	NUM
ejpam-1920	199	48	β	β	X
ejpam-1920	199	49	n−1	n−1	PROPN
ejpam-1920	199	50	∑	∑	PUNCT
ejpam-1920	199	51	α=2	α=2	PROPN
ejpam-1920	199	52	mαα	mαα	VERB
ejpam-1920	199	53	=	=	SYM
ejpam-1920	199	54	0	0	PROPN
ejpam-1920	199	55	.	.	PUNCT
ejpam-1920	200	1	(	(	PUNCT
ejpam-1920	200	2	35	35	NUM
ejpam-1920	200	3	)	)	PUNCT
ejpam-1920	200	4	f.	f.	NOUN
ejpam-1920	200	5	zengin	zengin	NOUN
ejpam-1920	200	6	,	,	PUNCT
ejpam-1920	200	7	a.	a.	NOUN
ejpam-1920	200	8	taşcı	taşcı	PROPN
ejpam-1920	200	9	/	/	SYM
ejpam-1920	200	10	eur	eur	PROPN
ejpam-1920	200	11	.	.	PUNCT
ejpam-1920	201	1	j.	j.	PROPN
ejpam-1920	201	2	pure	pure	PROPN
ejpam-1920	201	3	appl	appl	PROPN
ejpam-1920	201	4	.	.	PROPN
ejpam-1920	201	5	math	math	PROPN
ejpam-1920	201	6	,	,	PUNCT
ejpam-1920	201	7	7	7	NUM
ejpam-1920	201	8	(	(	PUNCT
ejpam-1920	201	9	2014	2014	NUM
ejpam-1920	201	10	)	)	PUNCT
ejpam-1920	201	11	,	,	PUNCT
ejpam-1920	201	12	246	246	NUM
ejpam-1920	201	13	-	-	SYM
ejpam-1920	201	14	255	255	NUM
ejpam-1920	201	15	253	253	NUM
ejpam-1920	201	16	in	in	ADP
ejpam-1920	201	17	this	this	DET
ejpam-1920	201	18	case	case	NOUN
ejpam-1920	202	1	,	,	PUNCT
ejpam-1920	202	2	we	we	PRON
ejpam-1920	202	3	have	have	VERB
ejpam-1920	202	4	the	the	DET
ejpam-1920	202	5	following	follow	VERB
ejpam-1920	202	6	relations	relation	NOUN
ejpam-1920	202	7	ϕ,αβ	ϕ,αβ	PUNCT
ejpam-1920	203	1	=	=	SYM
ejpam-1920	203	2	2(mαβ	2(mαβ	NUM
ejpam-1920	203	3	+	+	PROPN
ejpam-1920	203	4	δαβ)e	δαβ)e	PROPN
ejpam-1920	203	5	(	(	PUNCT
ejpam-1920	203	6	x1)2	x1)2	NUM
ejpam-1920	203	7	δαβδ	δαβδ	NOUN
ejpam-1920	203	8	αβ	αβ	PRON
ejpam-1920	204	1	=	=	VERB
ejpam-1920	204	2	n−	n−	NOUN
ejpam-1920	204	3	2	2	NUM
ejpam-1920	204	4	δαβmαβ	δαβmαβ	NOUN
ejpam-1920	204	5	=	=	NOUN
ejpam-1920	204	6	σmαα	σmαα	ADJ
ejpam-1920	204	7	=	=	SYM
ejpam-1920	204	8	0	0	NUM
ejpam-1920	204	9	.	.	PUNCT
ejpam-1920	205	1	(	(	PUNCT
ejpam-1920	205	2	36	36	NUM
ejpam-1920	205	3	)	)	PUNCT
ejpam-1920	205	4	thus	thus	ADV
ejpam-1920	205	5	,	,	PUNCT
ejpam-1920	205	6	from	from	ADP
ejpam-1920	205	7	(	(	PUNCT
ejpam-1920	205	8	34	34	NUM
ejpam-1920	205	9	)	)	PUNCT
ejpam-1920	205	10	and	and	CCONJ
ejpam-1920	205	11	(	(	PUNCT
ejpam-1920	205	12	36	36	NUM
ejpam-1920	205	13	)	)	PUNCT
ejpam-1920	205	14	,	,	PUNCT
ejpam-1920	205	15	we	we	PRON
ejpam-1920	205	16	have	have	AUX
ejpam-1920	205	17	δαβϕ,αβ	δαβϕ,αβ	VERB
ejpam-1920	206	1	=	=	NOUN
ejpam-1920	206	2	2(n−	2(n−	NUM
ejpam-1920	206	3	2)e(x	2)e(x	NUM
ejpam-1920	206	4	1)2	1)2	NUM
ejpam-1920	206	5	.	.	PUNCT
ejpam-1920	207	1	(	(	PUNCT
ejpam-1920	207	2	37	37	NUM
ejpam-1920	207	3	)	)	PUNCT
ejpam-1920	207	4	by	by	ADP
ejpam-1920	207	5	using	use	VERB
ejpam-1920	207	6	(	(	PUNCT
ejpam-1920	207	7	33	33	NUM
ejpam-1920	207	8	)	)	PUNCT
ejpam-1920	207	9	,	,	PUNCT
ejpam-1920	207	10	we	we	PRON
ejpam-1920	207	11	find	find	VERB
ejpam-1920	207	12	the	the	DET
ejpam-1920	207	13	only	only	ADJ
ejpam-1920	207	14	non	non	ADJ
ejpam-1920	207	15	-	-	ADJ
ejpam-1920	207	16	zero	zero	NUM
ejpam-1920	207	17	components	component	NOUN
ejpam-1920	207	18	for	for	ADP
ejpam-1920	207	19	rhi	rhi	PROPN
ejpam-1920	207	20	jk	jk	PROPN
ejpam-1920	207	21	and	and	CCONJ
ejpam-1920	207	22	si	si	PROPN
ejpam-1920	207	23	j	j	PROPN
ejpam-1920	207	24	as	as	ADP
ejpam-1920	207	25	r1αα1	r1αα1	NOUN
ejpam-1920	207	26	=	=	NOUN
ejpam-1920	207	27	1	1	NUM
ejpam-1920	207	28	2	2	NUM
ejpam-1920	207	29	ϕ,αα	ϕ,αα	NUM
ejpam-1920	207	30	=	=	PRON
ejpam-1920	207	31	(	(	PUNCT
ejpam-1920	207	32	1+mαα)e	1+mαα)e	NUM
ejpam-1920	207	33	(	(	PUNCT
ejpam-1920	207	34	x1)2	x1)2	NUM
ejpam-1920	207	35	s11	s11	X
ejpam-1920	207	36	=	=	SYM
ejpam-1920	207	37	1	1	NUM
ejpam-1920	207	38	2	2	NUM
ejpam-1920	207	39	ϕ,αβδ	ϕ,αβδ	VERB
ejpam-1920	207	40	αβ	αβ	NOUN
ejpam-1920	208	1	=	=	SYM
ejpam-1920	209	1	(	(	PUNCT
ejpam-1920	209	2	n−	n−	NOUN
ejpam-1920	209	3	2)e(x	2)e(x	NUM
ejpam-1920	209	4	1)2	1)2	NUM
ejpam-1920	209	5	.	.	PUNCT
ejpam-1920	210	1	(	(	PUNCT
ejpam-1920	210	2	38	38	NUM
ejpam-1920	210	3	)	)	PUNCT
ejpam-1920	210	4	hence	hence	ADV
ejpam-1920	210	5	,	,	PUNCT
ejpam-1920	210	6	the	the	DET
ejpam-1920	210	7	only	only	ADJ
ejpam-1920	210	8	non	non	ADJ
ejpam-1920	210	9	-	-	ADJ
ejpam-1920	210	10	zero	zero	ADJ
ejpam-1920	210	11	components	component	NOUN
ejpam-1920	210	12	of	of	ADP
ejpam-1920	210	13	the	the	DET
ejpam-1920	210	14	conharmonic	conharmonic	ADJ
ejpam-1920	210	15	curvature	curvature	NOUN
ejpam-1920	210	16	tensor	tensor	NOUN
ejpam-1920	210	17	hhi	hhi	NOUN
ejpam-1920	210	18	jk	jk	PROPN
ejpam-1920	210	19	are	be	AUX
ejpam-1920	210	20	h1αα1	h1αα1	PROPN
ejpam-1920	210	21	=	=	SYM
ejpam-1920	210	22	r1αα1	r1αα1	NOUN
ejpam-1920	210	23	−	−	PROPN
ejpam-1920	210	24	1	1	NUM
ejpam-1920	210	25	n−	n−	NOUN
ejpam-1920	210	26	2	2	NUM
ejpam-1920	210	27	(	(	PUNCT
ejpam-1920	210	28	gααs11	gααs11	NOUN
ejpam-1920	210	29	)	)	PUNCT
ejpam-1920	210	30	=(	=(	NOUN
ejpam-1920	211	1	1+mαα)e	1+mαα)e	NUM
ejpam-1920	211	2	(	(	PUNCT
ejpam-1920	211	3	x1)2	x1)2	NUM
ejpam-1920	211	4	−	−	PROPN
ejpam-1920	211	5	1	1	NUM
ejpam-1920	211	6	n−	n−	NOUN
ejpam-1920	211	7	2	2	NUM
ejpam-1920	211	8	(	(	PUNCT
ejpam-1920	211	9	n−	n−	NOUN
ejpam-1920	211	10	2)e(x	2)e(x	NUM
ejpam-1920	211	11	1)2	1)2	NUM
ejpam-1920	211	12	=	=	SYM
ejpam-1920	211	13	mααe(x	mααe(x	ADP
ejpam-1920	211	14	1)2	1)2	NUM
ejpam-1920	211	15	(	(	PUNCT
ejpam-1920	211	16	39	39	NUM
ejpam-1920	211	17	)	)	PUNCT
ejpam-1920	211	18	which	which	PRON
ejpam-1920	211	19	never	never	ADV
ejpam-1920	211	20	vanish	vanish	VERB
ejpam-1920	211	21	.	.	PUNCT
ejpam-1920	212	1	in	in	ADP
ejpam-1920	212	2	this	this	DET
ejpam-1920	212	3	case	case	NOUN
ejpam-1920	212	4	,	,	PUNCT
ejpam-1920	212	5	from	from	ADP
ejpam-1920	212	6	(	(	PUNCT
ejpam-1920	212	7	39	39	NUM
ejpam-1920	212	8	)	)	PUNCT
ejpam-1920	212	9	,	,	PUNCT
ejpam-1920	212	10	the	the	DET
ejpam-1920	212	11	only	only	ADJ
ejpam-1920	212	12	non	non	ADJ
ejpam-1920	212	13	-	-	ADJ
ejpam-1920	212	14	zero	zero	ADJ
ejpam-1920	212	15	components	component	NOUN
ejpam-1920	212	16	of	of	ADP
ejpam-1920	212	17	the	the	DET
ejpam-1920	212	18	derivative	derivative	NOUN
ejpam-1920	212	19	of	of	ADP
ejpam-1920	212	20	hhi	hhi	PROPN
ejpam-1920	212	21	jk	jk	PROPN
ejpam-1920	212	22	are	be	AUX
ejpam-1920	212	23	found	find	VERB
ejpam-1920	212	24	as	as	ADP
ejpam-1920	212	25	h1αα1,1	h1αα1,1	NOUN
ejpam-1920	212	26	=	=	NOUN
ejpam-1920	212	27	2x1mααe(x	2x1mααe(x	NUM
ejpam-1920	212	28	1)2	1)2	NUM
ejpam-1920	212	29	=	=	SYM
ejpam-1920	212	30	2x1h1αα1	2x1h1αα1	NOUN
ejpam-1920	212	31	.	.	PUNCT
ejpam-1920	213	1	(	(	PUNCT
ejpam-1920	213	2	40	40	NUM
ejpam-1920	213	3	)	)	PUNCT
ejpam-1920	213	4	let	let	VERB
ejpam-1920	213	5	us	we	PRON
ejpam-1920	213	6	consider	consider	VERB
ejpam-1920	213	7	the	the	DET
ejpam-1920	213	8	associated	associated	ADJ
ejpam-1920	213	9	1	1	NUM
ejpam-1920	213	10	-	-	PUNCT
ejpam-1920	213	11	form	form	NOUN
ejpam-1920	213	12	as	as	ADP
ejpam-1920	213	13	ai(x	ai(x	NOUN
ejpam-1920	213	14	)	)	PUNCT
ejpam-1920	214	1	=	=	PUNCT
ejpam-1920	215	1	¨	¨	NOUN
ejpam-1920	215	2	x1	x1	PROPN
ejpam-1920	215	3	2	2	NUM
ejpam-1920	215	4	,	,	PUNCT
ejpam-1920	215	5	for	for	ADP
ejpam-1920	215	6	i	i	PRON
ejpam-1920	215	7	=	=	NOUN
ejpam-1920	215	8	1	1	NUM
ejpam-1920	215	9	0	0	NUM
ejpam-1920	215	10	,	,	PUNCT
ejpam-1920	215	11	otherwise	otherwise	ADV
ejpam-1920	215	12	(	(	PUNCT
ejpam-1920	215	13	41	41	NUM
ejpam-1920	215	14	)	)	PUNCT
ejpam-1920	215	15	at	at	ADP
ejpam-1920	215	16	any	any	DET
ejpam-1920	215	17	point	point	NOUN
ejpam-1920	215	18	x	x	X
ejpam-1920	215	19	∈	∈	PROPN
ejpam-1920	215	20	rn	rn	PROPN
ejpam-1920	215	21	.	.	PROPN
ejpam-1920	215	22	to	to	PART
ejpam-1920	215	23	verify	verify	VERB
ejpam-1920	215	24	the	the	DET
ejpam-1920	215	25	relation	relation	NOUN
ejpam-1920	215	26	(	(	PUNCT
ejpam-1920	215	27	7	7	X
ejpam-1920	215	28	)	)	PUNCT
ejpam-1920	215	29	it	it	PRON
ejpam-1920	215	30	is	be	AUX
ejpam-1920	215	31	sufficient	sufficient	ADJ
ejpam-1920	215	32	to	to	PART
ejpam-1920	215	33	prove	prove	VERB
ejpam-1920	215	34	that	that	SCONJ
ejpam-1920	215	35	the	the	DET
ejpam-1920	215	36	equation	equation	NOUN
ejpam-1920	215	37	h1αα1,1	h1αα1,1	NOUN
ejpam-1920	216	1	=	=	SYM
ejpam-1920	216	2	4a1h1αα1	4a1h1αα1	PROPN
ejpam-1920	216	3	.	.	PUNCT
ejpam-1920	217	1	(	(	PUNCT
ejpam-1920	217	2	42	42	NUM
ejpam-1920	217	3	)	)	PUNCT
ejpam-1920	217	4	by	by	ADP
ejpam-1920	217	5	the	the	DET
ejpam-1920	217	6	aid	aid	NOUN
ejpam-1920	217	7	of	of	ADP
ejpam-1920	217	8	(	(	PUNCT
ejpam-1920	217	9	40	40	NUM
ejpam-1920	217	10	)	)	PUNCT
ejpam-1920	217	11	and	and	CCONJ
ejpam-1920	217	12	(	(	PUNCT
ejpam-1920	217	13	41	41	NUM
ejpam-1920	217	14	)	)	PUNCT
ejpam-1920	217	15	,	,	PUNCT
ejpam-1920	217	16	we	we	PRON
ejpam-1920	217	17	can	can	AUX
ejpam-1920	217	18	easily	easily	ADV
ejpam-1920	217	19	see	see	VERB
ejpam-1920	217	20	that	that	SCONJ
ejpam-1920	217	21	(	(	PUNCT
ejpam-1920	217	22	42	42	NUM
ejpam-1920	217	23	)	)	PUNCT
ejpam-1920	217	24	is	be	AUX
ejpam-1920	217	25	satisfied	satisfied	ADJ
ejpam-1920	217	26	.	.	PUNCT
ejpam-1920	218	1	the	the	DET
ejpam-1920	218	2	other	other	ADJ
ejpam-1920	218	3	components	component	NOUN
ejpam-1920	218	4	of	of	ADP
ejpam-1920	218	5	each	each	DET
ejpam-1920	218	6	term	term	NOUN
ejpam-1920	218	7	of	of	ADP
ejpam-1920	218	8	(	(	PUNCT
ejpam-1920	218	9	7	7	X
ejpam-1920	218	10	)	)	PUNCT
ejpam-1920	218	11	vanish	vanish	VERB
ejpam-1920	218	12	identically	identically	ADV
ejpam-1920	218	13	and	and	CCONJ
ejpam-1920	218	14	the	the	DET
ejpam-1920	218	15	relation	relation	NOUN
ejpam-1920	218	16	(	(	PUNCT
ejpam-1920	218	17	7	7	X
ejpam-1920	218	18	)	)	PUNCT
ejpam-1920	218	19	holds	hold	VERB
ejpam-1920	218	20	trivially	trivially	ADV
ejpam-1920	218	21	.	.	PUNCT
ejpam-1920	219	1	under	under	ADP
ejpam-1920	219	2	our	our	PRON
ejpam-1920	219	3	assumptions	assumption	NOUN
ejpam-1920	219	4	(	(	PUNCT
ejpam-1920	219	5	32	32	NUM
ejpam-1920	219	6	)	)	PUNCT
ejpam-1920	219	7	,	,	PUNCT
ejpam-1920	219	8	(	(	PUNCT
ejpam-1920	219	9	34	34	NUM
ejpam-1920	219	10	)	)	PUNCT
ejpam-1920	219	11	and	and	CCONJ
ejpam-1920	219	12	(	(	PUNCT
ejpam-1920	219	13	35	35	NUM
ejpam-1920	219	14	)	)	PUNCT
ejpam-1920	219	15	,	,	PUNCT
ejpam-1920	219	16	this	this	DET
ejpam-1920	219	17	manifold	manifold	NOUN
ejpam-1920	219	18	is	be	AUX
ejpam-1920	219	19	a	a	DET
ejpam-1920	219	20	(	(	PUNCT
ejpam-1920	219	21	pchs)n	pchs)n	PROPN
ejpam-1920	219	22	.	.	PUNCT
ejpam-1920	220	1	references	reference	NOUN
ejpam-1920	220	2	254	254	NUM
ejpam-1920	220	3	acknowledgements	acknowledgement	NOUN
ejpam-1920	220	4	the	the	DET
ejpam-1920	220	5	authors	author	NOUN
ejpam-1920	220	6	wish	wish	VERB
ejpam-1920	220	7	to	to	PART
ejpam-1920	220	8	express	express	VERB
ejpam-1920	220	9	their	their	PRON
ejpam-1920	220	10	sincere	sincere	ADJ
ejpam-1920	220	11	thanks	thank	NOUN
ejpam-1920	220	12	and	and	CCONJ
ejpam-1920	220	13	gratitude	gratitude	NOUN
ejpam-1920	220	14	to	to	ADP
ejpam-1920	220	15	the	the	DET
ejpam-1920	220	16	referee	referee	NOUN
ejpam-1920	220	17	for	for	ADP
ejpam-1920	220	18	his	his	PRON
ejpam-1920	220	19	valuable	valuable	ADJ
ejpam-1920	220	20	suggestions	suggestion	NOUN
ejpam-1920	220	21	towards	towards	ADP
ejpam-1920	220	22	the	the	DET
ejpam-1920	220	23	improvement	improvement	NOUN
ejpam-1920	220	24	of	of	ADP
ejpam-1920	220	25	the	the	DET
ejpam-1920	220	26	paper	paper	NOUN
ejpam-1920	220	27	.	.	PUNCT
ejpam-1920	221	1	references	reference	NOUN
ejpam-1920	221	2	[	[	X
ejpam-1920	221	3	1	1	NUM
ejpam-1920	221	4	]	]	X
ejpam-1920	221	5	d	d	PROPN
ejpam-1920	221	6	b	b	PROPN
ejpam-1920	221	7	abdussatter	abdussatter	NOUN
ejpam-1920	221	8	.	.	PUNCT
ejpam-1920	222	1	on	on	ADP
ejpam-1920	222	2	conharmonic	conharmonic	ADJ
ejpam-1920	222	3	transformations	transformation	NOUN
ejpam-1920	222	4	in	in	ADP
ejpam-1920	222	5	general	general	ADJ
ejpam-1920	222	6	relativity	relativity	NOUN
ejpam-1920	222	7	.	.	PUNCT
ejpam-1920	223	1	bulletin	bulletin	NOUN
ejpam-1920	223	2	of	of	ADP
ejpam-1920	223	3	calcutta	calcutta	PROPN
ejpam-1920	223	4	mathematical	mathematical	ADJ
ejpam-1920	223	5	society	society	NOUN
ejpam-1920	223	6	,	,	PUNCT
ejpam-1920	223	7	41:409–416	41:409–416	NUM
ejpam-1920	223	8	,	,	PUNCT
ejpam-1920	223	9	1966	1966	NUM
ejpam-1920	223	10	.	.	PUNCT
ejpam-1920	224	1	[	[	X
ejpam-1920	224	2	2	2	NUM
ejpam-1920	224	3	]	]	PUNCT
ejpam-1920	224	4	t	t	PROPN
ejpam-1920	224	5	adati	adati	PROPN
ejpam-1920	224	6	and	and	CCONJ
ejpam-1920	224	7	t	t	PROPN
ejpam-1920	224	8	miyazawa	miyazawa	PROPN
ejpam-1920	224	9	.	.	PUNCT
ejpam-1920	225	1	on	on	ADP
ejpam-1920	225	2	a	a	DET
ejpam-1920	225	3	riemannian	riemannian	ADJ
ejpam-1920	225	4	space	space	NOUN
ejpam-1920	225	5	with	with	ADP
ejpam-1920	225	6	recurrent	recurrent	ADJ
ejpam-1920	225	7	conformal	conformal	ADJ
ejpam-1920	225	8	curvature	curvature	NOUN
ejpam-1920	225	9	.	.	PUNCT
ejpam-1920	226	1	the	the	DET
ejpam-1920	226	2	tensor	tensor	NOUN
ejpam-1920	226	3	society	society	NOUN
ejpam-1920	226	4	.	.	PUNCT
ejpam-1920	227	1	tensor	tensor	NOUN
ejpam-1920	227	2	.	.	PUNCT
ejpam-1920	228	1	new	new	ADJ
ejpam-1920	228	2	series	series	NOUN
ejpam-1920	228	3	,	,	PUNCT
ejpam-1920	228	4	18:348–354	18:348–354	NUM
ejpam-1920	228	5	,	,	PUNCT
ejpam-1920	228	6	1967	1967	NUM
ejpam-1920	228	7	.	.	PUNCT
ejpam-1920	229	1	[	[	X
ejpam-1920	229	2	3	3	NUM
ejpam-1920	229	3	]	]	X
ejpam-1920	229	4	e	e	X
ejpam-1920	229	5	cartan	cartan	PROPN
ejpam-1920	229	6	.	.	PUNCT
ejpam-1920	229	7	surune	surune	PROPN
ejpam-1920	229	8	classe	classe	PROPN
ejpam-1920	229	9	remarquable	remarquable	X
ejpam-1920	229	10	d	d	NOUN
ejpam-1920	229	11	’	'	PUNCT
ejpam-1920	229	12	espaces	espace	NOUN
ejpam-1920	229	13	de	de	X
ejpam-1920	229	14	riemannian	riemannian	PROPN
ejpam-1920	229	15	.	.	PUNCT
ejpam-1920	230	1	bulletin	bulletin	PROPN
ejpam-1920	230	2	de	de	X
ejpam-1920	230	3	la	la	PROPN
ejpam-1920	230	4	societe	societe	PROPN
ejpam-1920	230	5	mathematique	mathematique	PROPN
ejpam-1920	230	6	de	de	PROPN
ejpam-1920	230	7	france	france	PROPN
ejpam-1920	230	8	,	,	PUNCT
ejpam-1920	230	9	54:214–264	54:214–264	PROPN
ejpam-1920	230	10	,	,	PUNCT
ejpam-1920	230	11	1926	1926	NUM
ejpam-1920	230	12	.	.	PUNCT
ejpam-1920	231	1	[	[	X
ejpam-1920	231	2	4	4	X
ejpam-1920	231	3	]	]	X
ejpam-1920	231	4	m	m	PROPN
ejpam-1920	231	5	c	c	NOUN
ejpam-1920	231	6	chaki	chaki	NOUN
ejpam-1920	231	7	.	.	PUNCT
ejpam-1920	232	1	on	on	ADP
ejpam-1920	232	2	pseudo	pseudo	NOUN
ejpam-1920	232	3	symmetric	symmetric	ADJ
ejpam-1920	232	4	manifolds	manifold	NOUN
ejpam-1920	232	5	.	.	PUNCT
ejpam-1920	233	1	analele	analele	ADP
ejpam-1920	233	2	stiintifice	stiintifice	PROPN
ejpam-1920	233	3	ale	ale	PROPN
ejpam-1920	233	4	universitatii	universitatii	PROPN
ejpam-1920	233	5	al	al	PROPN
ejpam-1920	233	6	.	.	PROPN
ejpam-1920	233	7	i.	i.	PROPN
ejpam-1920	233	8	cuza	cuza	PROPN
ejpam-1920	233	9	din	din	PROPN
ejpam-1920	233	10	iasi	iasi	PROPN
ejpam-1920	233	11	,	,	PUNCT
ejpam-1920	233	12	33:53–58	33:53–58	PROPN
ejpam-1920	233	13	,	,	PUNCT
ejpam-1920	233	14	1987	1987	NUM
ejpam-1920	233	15	.	.	PUNCT
ejpam-1920	234	1	[	[	X
ejpam-1920	234	2	5	5	NUM
ejpam-1920	234	3	]	]	PUNCT
ejpam-1920	234	4	m	m	PROPN
ejpam-1920	234	5	c	c	NOUN
ejpam-1920	234	6	chaki	chaki	NOUN
ejpam-1920	234	7	and	and	CCONJ
ejpam-1920	234	8	b	b	PROPN
ejpam-1920	234	9	gupta	gupta	PROPN
ejpam-1920	234	10	.	.	PUNCT
ejpam-1920	235	1	on	on	ADP
ejpam-1920	235	2	conformally	conformally	ADV
ejpam-1920	235	3	symmetric	symmetric	ADJ
ejpam-1920	235	4	spaces	space	NOUN
ejpam-1920	235	5	.	.	PUNCT
ejpam-1920	236	1	indian	indian	ADJ
ejpam-1920	236	2	journal	journal	PROPN
ejpam-1920	236	3	of	of	ADP
ejpam-1920	236	4	mathematics	mathematic	NOUN
ejpam-1920	236	5	,	,	PUNCT
ejpam-1920	236	6	5:113–295	5:113–295	NUM
ejpam-1920	236	7	,	,	PUNCT
ejpam-1920	236	8	1963	1963	NUM
ejpam-1920	236	9	.	.	PUNCT
ejpam-1920	237	1	[	[	X
ejpam-1920	237	2	6	6	NUM
ejpam-1920	237	3	]	]	X
ejpam-1920	237	4	u	u	X
ejpam-1920	237	5	c	c	X
ejpam-1920	237	6	de	de	X
ejpam-1920	237	7	and	and	CCONJ
ejpam-1920	237	8	s	s	PART
ejpam-1920	237	9	bandyopadhyay	bandyopadhyay	NOUN
ejpam-1920	237	10	.	.	PUNCT
ejpam-1920	238	1	on	on	ADP
ejpam-1920	238	2	weakly	weakly	ADJ
ejpam-1920	238	3	symmetric	symmetric	ADJ
ejpam-1920	238	4	riemannian	riemannian	ADJ
ejpam-1920	238	5	spaces	space	NOUN
ejpam-1920	238	6	.	.	PUNCT
ejpam-1920	239	1	publicationes	publicatione	NOUN
ejpam-1920	239	2	mathematicae	mathematicae	PROPN
ejpam-1920	239	3	debrecen	debrecen	PROPN
ejpam-1920	239	4	,	,	PUNCT
ejpam-1920	239	5	54:371–381	54:371–381	PROPN
ejpam-1920	239	6	,	,	PUNCT
ejpam-1920	239	7	1999	1999	NUM
ejpam-1920	239	8	.	.	PUNCT
ejpam-1920	240	1	[	[	X
ejpam-1920	240	2	7	7	X
ejpam-1920	240	3	]	]	X
ejpam-1920	240	4	u	u	X
ejpam-1920	240	5	c	c	X
ejpam-1920	240	6	de	de	X
ejpam-1920	240	7	and	and	CCONJ
ejpam-1920	240	8	s	s	PART
ejpam-1920	240	9	bandyopadhyay	bandyopadhyay	NOUN
ejpam-1920	240	10	.	.	PUNCT
ejpam-1920	241	1	on	on	ADP
ejpam-1920	241	2	weakly	weakly	ADJ
ejpam-1920	241	3	symmetric	symmetric	ADJ
ejpam-1920	241	4	spaces	space	NOUN
ejpam-1920	241	5	.	.	PUNCT
ejpam-1920	242	1	acta	acta	PROPN
ejpam-1920	242	2	mathematics	mathematics	PROPN
ejpam-1920	242	3	hungarica	hungarica	PROPN
ejpam-1920	242	4	,	,	PUNCT
ejpam-1920	242	5	83:205–212	83:205–212	NUM
ejpam-1920	242	6	,	,	PUNCT
ejpam-1920	242	7	2000	2000	NUM
ejpam-1920	242	8	.	.	PUNCT
ejpam-1920	243	1	[	[	X
ejpam-1920	243	2	8	8	NUM
ejpam-1920	243	3	]	]	X
ejpam-1920	243	4	u	u	X
ejpam-1920	243	5	c	c	PROPN
ejpam-1920	243	6	de	de	X
ejpam-1920	243	7	and	and	CCONJ
ejpam-1920	243	8	a	a	DET
ejpam-1920	243	9	de	de	X
ejpam-1920	243	10	.	.	NOUN
ejpam-1920	243	11	on	on	ADP
ejpam-1920	243	12	almost	almost	ADV
ejpam-1920	243	13	pseudo	pseudo	NOUN
ejpam-1920	243	14	-	-	ADJ
ejpam-1920	243	15	conformally	conformally	ADV
ejpam-1920	243	16	symmetric	symmetric	ADJ
ejpam-1920	243	17	ricci	ricci	NOUN
ejpam-1920	243	18	-	-	PUNCT
ejpam-1920	243	19	recurrent	recurrent	NOUN
ejpam-1920	243	20	manifolds	manifold	NOUN
ejpam-1920	243	21	with	with	ADP
ejpam-1920	243	22	applications	application	NOUN
ejpam-1920	243	23	to	to	ADP
ejpam-1920	243	24	relativity	relativity	NOUN
ejpam-1920	243	25	.	.	PUNCT
ejpam-1920	244	1	czechoslovak	czechoslovak	ADJ
ejpam-1920	244	2	mathematical	mathematical	PROPN
ejpam-1920	244	3	journal	journal	PROPN
ejpam-1920	244	4	,	,	PUNCT
ejpam-1920	244	5	62(137):1055–1072	62(137):1055–1072	NOUN
ejpam-1920	244	6	,	,	PUNCT
ejpam-1920	244	7	2012	2012	NUM
ejpam-1920	244	8	.	.	PUNCT
ejpam-1920	245	1	[	[	X
ejpam-1920	245	2	9	9	NUM
ejpam-1920	245	3	]	]	SYM
ejpam-1920	245	4	u	u	X
ejpam-1920	245	5	c	c	X
ejpam-1920	245	6	de	de	X
ejpam-1920	245	7	and	and	CCONJ
ejpam-1920	245	8	s	s	PROPN
ejpam-1920	245	9	mallick	mallick	PROPN
ejpam-1920	245	10	.	.	PUNCT
ejpam-1920	246	1	on	on	ADP
ejpam-1920	246	2	almost	almost	ADV
ejpam-1920	246	3	pseudo	pseudo	NOUN
ejpam-1920	246	4	concircularly	concircularly	ADV
ejpam-1920	246	5	symmetric	symmetric	ADJ
ejpam-1920	246	6	manifolds	manifold	NOUN
ejpam-1920	246	7	.	.	PUNCT
ejpam-1920	247	1	the	the	DET
ejpam-1920	247	2	journal	journal	NOUN
ejpam-1920	247	3	of	of	ADP
ejpam-1920	247	4	mathematics	mathematic	NOUN
ejpam-1920	247	5	and	and	CCONJ
ejpam-1920	247	6	computer	computer	NOUN
ejpam-1920	247	7	science	science	NOUN
ejpam-1920	247	8	,	,	PUNCT
ejpam-1920	247	9	4(3):317–330	4(3):317–330	PROPN
ejpam-1920	247	10	,	,	PUNCT
ejpam-1920	247	11	2012	2012	NUM
ejpam-1920	247	12	.	.	PUNCT
ejpam-1920	248	1	[	[	X
ejpam-1920	248	2	10	10	NUM
ejpam-1920	248	3	]	]	X
ejpam-1920	248	4	r	r	NOUN
ejpam-1920	248	5	deszcz	deszcz	ADV
ejpam-1920	248	6	and	and	CCONJ
ejpam-1920	248	7	w	w	NOUN
ejpam-1920	248	8	grycak	grycak	NOUN
ejpam-1920	248	9	.	.	PUNCT
ejpam-1920	249	1	on	on	ADP
ejpam-1920	249	2	some	some	DET
ejpam-1920	249	3	class	class	NOUN
ejpam-1920	249	4	of	of	ADP
ejpam-1920	249	5	warped	warped	ADJ
ejpam-1920	249	6	product	product	NOUN
ejpam-1920	249	7	manifolds	manifold	NOUN
ejpam-1920	249	8	.	.	PUNCT
ejpam-1920	250	1	bulletin	bulletin	NOUN
ejpam-1920	250	2	of	of	ADP
ejpam-1920	250	3	the	the	DET
ejpam-1920	250	4	institute	institute	NOUN
ejpam-1920	250	5	of	of	ADP
ejpam-1920	250	6	mathematics	mathematics	PROPN
ejpam-1920	250	7	.	.	PUNCT
ejpam-1920	251	1	academia	academia	PROPN
ejpam-1920	251	2	sinica	sinica	PROPN
ejpam-1920	251	3	,	,	PUNCT
ejpam-1920	251	4	15:311–322	15:311–322	PROPN
ejpam-1920	251	5	,	,	PUNCT
ejpam-1920	251	6	1987	1987	NUM
ejpam-1920	251	7	.	.	PUNCT
ejpam-1920	252	1	[	[	X
ejpam-1920	252	2	11	11	NUM
ejpam-1920	252	3	]	]	SYM
ejpam-1920	252	4	s	s	PROPN
ejpam-1920	252	5	k	k	PROPN
ejpam-1920	252	6	hui	hui	PROPN
ejpam-1920	252	7	,	,	PUNCT
ejpam-1920	252	8	a	a	DET
ejpam-1920	252	9	a	a	DET
ejpam-1920	252	10	shaikh	shaikh	NOUN
ejpam-1920	252	11	,	,	PUNCT
ejpam-1920	252	12	and	and	CCONJ
ejpam-1920	252	13	i	i	PRON
ejpam-1920	252	14	roy	roy	PROPN
ejpam-1920	252	15	.	.	PROPN
ejpam-1920	253	1	on	on	ADP
ejpam-1920	253	2	totaly	totaly	VERB
ejpam-1920	253	3	umbilical	umbilical	ADJ
ejpam-1920	253	4	hypersurfaces	hypersurface	NOUN
ejpam-1920	253	5	of	of	ADP
ejpam-1920	253	6	weakly	weakly	ADJ
ejpam-1920	253	7	conharmonically	conharmonically	ADV
ejpam-1920	253	8	symmetric	symmetric	ADJ
ejpam-1920	253	9	spaces	space	NOUN
ejpam-1920	253	10	.	.	PUNCT
ejpam-1920	254	1	indian	indian	ADJ
ejpam-1920	254	2	journal	journal	PROPN
ejpam-1920	254	3	of	of	ADP
ejpam-1920	254	4	pure	pure	ADJ
ejpam-1920	254	5	and	and	CCONJ
ejpam-1920	254	6	applied	applied	ADJ
ejpam-1920	254	7	mathematics	mathematic	NOUN
ejpam-1920	254	8	,	,	PUNCT
ejpam-1920	254	9	10(4):28–31	10(4):28–31	NUM
ejpam-1920	254	10	,	,	PUNCT
ejpam-1920	254	11	2010	2010	NUM
ejpam-1920	254	12	.	.	PUNCT
ejpam-1920	255	1	[	[	X
ejpam-1920	255	2	12	12	NUM
ejpam-1920	255	3	]	]	X
ejpam-1920	255	4	k	k	PROPN
ejpam-1920	255	5	olszak	olszak	PROPN
ejpam-1920	255	6	and	and	CCONJ
ejpam-1920	255	7	z	z	NOUN
ejpam-1920	255	8	olszak	olszak	NOUN
ejpam-1920	255	9	.	.	PUNCT
ejpam-1920	256	1	on	on	ADP
ejpam-1920	256	2	pseudo	pseudo	NOUN
ejpam-1920	256	3	-	-	ADJ
ejpam-1920	256	4	riemannian	riemannian	ADJ
ejpam-1920	256	5	manifolds	manifold	NOUN
ejpam-1920	256	6	with	with	ADP
ejpam-1920	256	7	recurrent	recurrent	ADJ
ejpam-1920	256	8	concircular	concircular	ADJ
ejpam-1920	256	9	curvature	curvature	NOUN
ejpam-1920	256	10	tensor	tensor	NOUN
ejpam-1920	256	11	.	.	PUNCT
ejpam-1920	257	1	acta	acta	PROPN
ejpam-1920	257	2	mathematica	mathematica	PROPN
ejpam-1920	257	3	hungar	hungar	PROPN
ejpam-1920	257	4	,	,	PUNCT
ejpam-1920	257	5	137(1	137(1	NUM
ejpam-1920	257	6	-	-	SYM
ejpam-1920	257	7	2):64–71	2):64–71	NUM
ejpam-1920	257	8	,	,	PUNCT
ejpam-1920	257	9	2012	2012	NUM
ejpam-1920	257	10	.	.	PUNCT
ejpam-1920	258	1	[	[	X
ejpam-1920	258	2	13	13	NUM
ejpam-1920	258	3	]	]	SYM
ejpam-1920	258	4	b	b	X
ejpam-1920	258	5	o’neill	o’neill	NOUN
ejpam-1920	258	6	.	.	PUNCT
ejpam-1920	259	1	semi	semi	ADJ
ejpam-1920	259	2	-	-	ADJ
ejpam-1920	259	3	riemannian	riemannian	ADJ
ejpam-1920	259	4	geometry	geometry	NOUN
ejpam-1920	259	5	with	with	ADP
ejpam-1920	259	6	applications	application	NOUN
ejpam-1920	259	7	to	to	ADP
ejpam-1920	259	8	the	the	DET
ejpam-1920	259	9	relativity	relativity	NOUN
ejpam-1920	259	10	.	.	PUNCT
ejpam-1920	260	1	academic	academic	ADJ
ejpam-1920	260	2	press	press	NOUN
ejpam-1920	260	3	,	,	PUNCT
ejpam-1920	260	4	new	new	PROPN
ejpam-1920	260	5	york	york	PROPN
ejpam-1920	260	6	-	-	PUNCT
ejpam-1920	260	7	london	london	PROPN
ejpam-1920	260	8	,	,	PUNCT
ejpam-1920	260	9	1983	1983	NUM
ejpam-1920	260	10	.	.	PUNCT
ejpam-1920	261	1	[	[	X
ejpam-1920	261	2	14	14	NUM
ejpam-1920	261	3	]	]	X
ejpam-1920	261	4	f	f	X
ejpam-1920	261	5	özen	özen	NOUN
ejpam-1920	261	6	and	and	CCONJ
ejpam-1920	261	7	s	s	VERB
ejpam-1920	261	8	altay	altay	NOUN
ejpam-1920	261	9	.	.	PUNCT
ejpam-1920	262	1	on	on	ADP
ejpam-1920	262	2	weakly	weakly	ADJ
ejpam-1920	262	3	and	and	CCONJ
ejpam-1920	262	4	pseudo	pseudo	NOUN
ejpam-1920	262	5	symmetric	symmetric	ADJ
ejpam-1920	262	6	riemannian	riemannian	ADJ
ejpam-1920	262	7	spaces	space	NOUN
ejpam-1920	262	8	.	.	PUNCT
ejpam-1920	263	1	indian	indian	ADJ
ejpam-1920	263	2	journal	journal	PROPN
ejpam-1920	263	3	of	of	ADP
ejpam-1920	263	4	pure	pure	ADJ
ejpam-1920	263	5	and	and	CCONJ
ejpam-1920	263	6	applied	applied	ADJ
ejpam-1920	263	7	mathematics	mathematic	NOUN
ejpam-1920	263	8	,	,	PUNCT
ejpam-1920	263	9	33(10):1477–1488	33(10):1477–1488	NUM
ejpam-1920	263	10	,	,	PUNCT
ejpam-1920	263	11	2001	2001	NUM
ejpam-1920	263	12	.	.	PUNCT
ejpam-1920	264	1	references	reference	NOUN
ejpam-1920	264	2	255	255	NUM
ejpam-1920	265	1	[	[	X
ejpam-1920	265	2	15	15	NUM
ejpam-1920	265	3	]	]	X
ejpam-1920	265	4	f	f	X
ejpam-1920	265	5	özen	özen	NOUN
ejpam-1920	265	6	and	and	CCONJ
ejpam-1920	265	7	s	s	VERB
ejpam-1920	265	8	altay	altay	NOUN
ejpam-1920	265	9	.	.	PUNCT
ejpam-1920	266	1	on	on	ADP
ejpam-1920	266	2	weakly	weakly	ADJ
ejpam-1920	266	3	and	and	CCONJ
ejpam-1920	266	4	pseudo	pseudo	NOUN
ejpam-1920	266	5	concircular	concircular	ADJ
ejpam-1920	266	6	symmetric	symmetric	ADJ
ejpam-1920	266	7	structures	structure	NOUN
ejpam-1920	266	8	on	on	ADP
ejpam-1920	266	9	a	a	DET
ejpam-1920	266	10	riemannian	riemannian	ADJ
ejpam-1920	266	11	manifold	manifold	NOUN
ejpam-1920	266	12	.	.	PUNCT
ejpam-1920	267	1	acta	acta	PROPN
ejpam-1920	267	2	universitatis	universitatis	PROPN
ejpam-1920	267	3	palackianae	palackianae	VERB
ejpam-1920	267	4	olomucensis	olomucensis	NOUN
ejpam-1920	267	5	.	.	PUNCT
ejpam-1920	268	1	facultas	facultas	PROPN
ejpam-1920	268	2	rerum	rerum	PROPN
ejpam-1920	268	3	naturalium	naturalium	PROPN
ejpam-1920	268	4	.	.	PUNCT
ejpam-1920	269	1	mathematica	mathematica	PROPN
ejpam-1920	269	2	,	,	PUNCT
ejpam-1920	269	3	47:129–138	47:129–138	PROPN
ejpam-1920	269	4	,	,	PUNCT
ejpam-1920	269	5	2008	2008	NUM
ejpam-1920	269	6	.	.	PUNCT
ejpam-1920	270	1	[	[	X
ejpam-1920	270	2	16	16	NUM
ejpam-1920	270	3	]	]	X
ejpam-1920	270	4	m	m	VERB
ejpam-1920	270	5	prvanovic	prvanovic	ADJ
ejpam-1920	270	6	.	.	PUNCT
ejpam-1920	271	1	on	on	ADP
ejpam-1920	271	2	weakly	weakly	ADJ
ejpam-1920	271	3	symmetric	symmetric	ADJ
ejpam-1920	271	4	riemannian	riemannian	ADJ
ejpam-1920	271	5	manifolds	manifold	NOUN
ejpam-1920	271	6	.	.	PUNCT
ejpam-1920	272	1	publicationes	publicatione	NOUN
ejpam-1920	272	2	mathematicae	mathematicae	PROPN
ejpam-1920	272	3	debrecen	debrecen	PROPN
ejpam-1920	272	4	,	,	PUNCT
ejpam-1920	272	5	46:19–25	46:19–25	PROPN
ejpam-1920	272	6	,	,	PUNCT
ejpam-1920	272	7	1995	1995	NUM
ejpam-1920	272	8	.	.	PUNCT
ejpam-1920	273	1	[	[	X
ejpam-1920	273	2	17	17	NUM
ejpam-1920	273	3	]	]	X
ejpam-1920	273	4	m	m	VERB
ejpam-1920	273	5	prvanovic	prvanovic	ADJ
ejpam-1920	273	6	.	.	PUNCT
ejpam-1920	274	1	on	on	ADP
ejpam-1920	274	2	totally	totally	ADV
ejpam-1920	274	3	umbilical	umbilical	ADJ
ejpam-1920	274	4	submanifolds	submanifold	NOUN
ejpam-1920	274	5	immersed	immerse	VERB
ejpam-1920	274	6	in	in	ADP
ejpam-1920	274	7	a	a	DET
ejpam-1920	274	8	weakly	weakly	ADJ
ejpam-1920	274	9	symmetric	symmetric	ADJ
ejpam-1920	274	10	riemannian	riemannian	ADJ
ejpam-1920	274	11	manifolds	manifold	NOUN
ejpam-1920	274	12	.	.	PUNCT
ejpam-1920	275	1	publicationes	publicatione	NOUN
ejpam-1920	275	2	mathematicae	mathematicae	PROPN
ejpam-1920	275	3	debrecen	debrecen	PROPN
ejpam-1920	275	4	,	,	PUNCT
ejpam-1920	275	5	6:54–64	6:54–64	PROPN
ejpam-1920	275	6	,	,	PUNCT
ejpam-1920	275	7	1998	1998	NUM
ejpam-1920	275	8	.	.	PUNCT
ejpam-1920	276	1	[	[	X
ejpam-1920	276	2	18	18	NUM
ejpam-1920	276	3	]	]	X
ejpam-1920	276	4	w	w	PROPN
ejpam-1920	276	5	roter	roter	PROPN
ejpam-1920	276	6	.	.	PUNCT
ejpam-1920	277	1	on	on	ADP
ejpam-1920	277	2	conformally	conformally	ADV
ejpam-1920	277	3	symmetric	symmetric	ADJ
ejpam-1920	277	4	ricci	ricci	NOUN
ejpam-1920	277	5	-	-	PUNCT
ejpam-1920	277	6	recurrent	recurrent	NOUN
ejpam-1920	277	7	spaces	space	NOUN
ejpam-1920	277	8	.	.	PUNCT
ejpam-1920	278	1	colloquium	colloquium	NOUN
ejpam-1920	278	2	mathematicum	mathematicum	PROPN
ejpam-1920	278	3	,	,	PUNCT
ejpam-1920	278	4	31:87–96	31:87–96	NUM
ejpam-1920	278	5	,	,	PUNCT
ejpam-1920	278	6	1974	1974	NUM
ejpam-1920	278	7	.	.	PUNCT
ejpam-1920	279	1	[	[	X
ejpam-1920	279	2	19	19	NUM
ejpam-1920	279	3	]	]	X
ejpam-1920	279	4	a	a	DET
ejpam-1920	279	5	a	a	DET
ejpam-1920	279	6	shaikh	shaikh	NOUN
ejpam-1920	279	7	and	and	CCONJ
ejpam-1920	279	8	s	s	PROPN
ejpam-1920	279	9	k	k	PROPN
ejpam-1920	279	10	hui	hui	PROPN
ejpam-1920	279	11	.	.	PUNCT
ejpam-1920	280	1	on	on	ADP
ejpam-1920	280	2	weakly	weakly	ADJ
ejpam-1920	280	3	conharmonically	conharmonically	ADV
ejpam-1920	280	4	symmetric	symmetric	ADJ
ejpam-1920	280	5	manifolds	manifold	NOUN
ejpam-1920	280	6	.	.	PUNCT
ejpam-1920	281	1	the	the	DET
ejpam-1920	281	2	tensor	tensor	NOUN
ejpam-1920	281	3	society	society	NOUN
ejpam-1920	281	4	.	.	PUNCT
ejpam-1920	282	1	tensor	tensor	NOUN
ejpam-1920	282	2	.	.	PUNCT
ejpam-1920	283	1	new	new	ADJ
ejpam-1920	283	2	series	series	NOUN
ejpam-1920	283	3	,	,	PUNCT
ejpam-1920	283	4	70:119–134	70:119–134	PROPN
ejpam-1920	283	5	,	,	PUNCT
ejpam-1920	283	6	2008	2008	NUM
ejpam-1920	283	7	.	.	PUNCT
ejpam-1920	284	1	[	[	X
ejpam-1920	284	2	20	20	NUM
ejpam-1920	284	3	]	]	SYM
ejpam-1920	284	4	s	s	VERB
ejpam-1920	284	5	a	a	DET
ejpam-1920	284	6	siddiqui	siddiqui	NOUN
ejpam-1920	284	7	and	and	CCONJ
ejpam-1920	284	8	z	z	PROPN
ejpam-1920	284	9	ahsan	ahsan	PROPN
ejpam-1920	284	10	.	.	PUNCT
ejpam-1920	285	1	conharmonic	conharmonic	ADJ
ejpam-1920	285	2	curvature	curvature	NOUN
ejpam-1920	285	3	tensor	tensor	NOUN
ejpam-1920	285	4	and	and	CCONJ
ejpam-1920	285	5	the	the	DET
ejpam-1920	285	6	spacetime	spacetime	NOUN
ejpam-1920	285	7	of	of	ADP
ejpam-1920	285	8	general	general	ADJ
ejpam-1920	285	9	relativity	relativity	NOUN
ejpam-1920	285	10	.	.	PUNCT
ejpam-1920	286	1	differential	differential	ADJ
ejpam-1920	286	2	geometry	geometry	NOUN
ejpam-1920	286	3	–	–	PUNCT
ejpam-1920	286	4	dynamical	dynamical	ADJ
ejpam-1920	286	5	systems	system	NOUN
ejpam-1920	286	6	,	,	PUNCT
ejpam-1920	286	7	12:213–220	12:213–220	NUM
ejpam-1920	286	8	,	,	PUNCT
ejpam-1920	286	9	2010	2010	NUM
ejpam-1920	286	10	.	.	PUNCT
ejpam-1920	287	1	[	[	X
ejpam-1920	287	2	21	21	NUM
ejpam-1920	287	3	]	]	X
ejpam-1920	287	4	g	g	PROPN
ejpam-1920	287	5	soos	soos	PROPN
ejpam-1920	287	6	.	.	PUNCT
ejpam-1920	288	1	uber	uber	ADJ
ejpam-1920	288	2	die	die	PROPN
ejpam-1920	288	3	geodatischen	geodatischen	PROPN
ejpam-1920	288	4	abbildungen	abbildungen	PROPN
ejpam-1920	288	5	von	von	PROPN
ejpam-1920	288	6	riemannschen	riemannschen	PROPN
ejpam-1920	288	7	raumen	raumen	PROPN
ejpam-1920	288	8	auf	auf	PROPN
ejpam-1920	288	9	projektiv	projektiv	PROPN
ejpam-1920	288	10	symmetrische	symmetrische	PROPN
ejpam-1920	288	11	remannsche	remannsche	PROPN
ejpam-1920	288	12	raume	raume	PROPN
ejpam-1920	288	13	.	.	PUNCT
ejpam-1920	289	1	acta	acta	PROPN
ejpam-1920	289	2	mathematica	mathematica	PROPN
ejpam-1920	289	3	academiae	academiae	PROPN
ejpam-1920	289	4	scientiarum	scientiarum	PROPN
ejpam-1920	289	5	hungaricae	hungaricae	PROPN
ejpam-1920	289	6	,	,	PUNCT
ejpam-1920	289	7	9:359–361	9:359–361	NOUN
ejpam-1920	289	8	,	,	PUNCT
ejpam-1920	289	9	1958	1958	NUM
ejpam-1920	289	10	.	.	PUNCT
ejpam-1920	290	1	[	[	X
ejpam-1920	290	2	22	22	NUM
ejpam-1920	290	3	]	]	X
ejpam-1920	290	4	z	z	NOUN
ejpam-1920	290	5	i	i	PRON
ejpam-1920	290	6	szabo	szabo	PROPN
ejpam-1920	290	7	.	.	PUNCT
ejpam-1920	291	1	structure	structure	NOUN
ejpam-1920	291	2	theorems	theorem	NOUN
ejpam-1920	291	3	on	on	ADP
ejpam-1920	291	4	riemannian	riemannian	ADJ
ejpam-1920	291	5	spaces	space	NOUN
ejpam-1920	291	6	satisfying	satisfy	VERB
ejpam-1920	291	7	r(x	r(x	PROPN
ejpam-1920	291	8	,	,	PUNCT
ejpam-1920	291	9	y)r=0	y)r=0	PROPN
ejpam-1920	291	10	.	.	PROPN
ejpam-1920	291	11	journal	journal	PROPN
ejpam-1920	291	12	of	of	ADP
ejpam-1920	291	13	differential	differential	ADJ
ejpam-1920	291	14	geometry	geometry	NOUN
ejpam-1920	291	15	,	,	PUNCT
ejpam-1920	291	16	17:531–582	17:531–582	NUM
ejpam-1920	291	17	,	,	PUNCT
ejpam-1920	291	18	1982	1982	NUM
ejpam-1920	291	19	.	.	PUNCT
ejpam-1920	292	1	[	[	X
ejpam-1920	292	2	23	23	NUM
ejpam-1920	292	3	]	]	PUNCT
ejpam-1920	292	4	l	l	NOUN
ejpam-1920	292	5	tamassy	tamassy	NOUN
ejpam-1920	292	6	and	and	CCONJ
ejpam-1920	292	7	t	t	PROPN
ejpam-1920	292	8	q	q	PROPN
ejpam-1920	292	9	binh	binh	PROPN
ejpam-1920	292	10	.	.	PUNCT
ejpam-1920	293	1	on	on	ADP
ejpam-1920	293	2	weakly	weakly	ADJ
ejpam-1920	293	3	symmetric	symmetric	ADJ
ejpam-1920	293	4	and	and	CCONJ
ejpam-1920	293	5	weakly	weakly	ADJ
ejpam-1920	293	6	projectively	projectively	ADV
ejpam-1920	293	7	symmetric	symmetric	ADJ
ejpam-1920	293	8	riemannian	riemannian	ADJ
ejpam-1920	293	9	manifolds	manifold	NOUN
ejpam-1920	293	10	.	.	PUNCT
ejpam-1920	294	1	colloquia	colloquia	PROPN
ejpam-1920	294	2	mathematica	mathematica	PROPN
ejpam-1920	294	3	societatis	societatis	PROPN
ejpam-1920	294	4	janos	janos	PROPN
ejpam-1920	294	5	bolyai	bolyai	PROPN
ejpam-1920	294	6	,	,	PUNCT
ejpam-1920	294	7	56:663–670	56:663–670	NUM
ejpam-1920	294	8	,	,	PUNCT
ejpam-1920	294	9	1989	1989	NUM
ejpam-1920	294	10	.	.	PUNCT
ejpam-1920	295	1	[	[	X
ejpam-1920	295	2	24	24	NUM
ejpam-1920	295	3	]	]	X
ejpam-1920	295	4	a	a	DET
ejpam-1920	295	5	g	g	PROPN
ejpam-1920	295	6	walker	walker	NOUN
ejpam-1920	295	7	.	.	PUNCT
ejpam-1920	296	1	on	on	ADP
ejpam-1920	296	2	ruse	ruse	NOUN
ejpam-1920	296	3	’	'	PUNCT
ejpam-1920	296	4	s	s	PART
ejpam-1920	296	5	space	space	NOUN
ejpam-1920	296	6	of	of	ADP
ejpam-1920	296	7	recurrent	recurrent	ADJ
ejpam-1920	296	8	curvature	curvature	NOUN
ejpam-1920	296	9	.	.	PUNCT
ejpam-1920	297	1	proceedings	proceeding	NOUN
ejpam-1920	297	2	of	of	ADP
ejpam-1920	297	3	the	the	DET
ejpam-1920	297	4	london	london	PROPN
ejpam-1920	297	5	mathematical	mathematical	ADJ
ejpam-1920	297	6	society	society	NOUN
ejpam-1920	297	7	,	,	PUNCT
ejpam-1920	297	8	52:36–64	52:36–64	NUM
ejpam-1920	297	9	,	,	PUNCT
ejpam-1920	297	10	1951	1951	NUM
ejpam-1920	297	11	.	.	PUNCT
ejpam-1920	298	1	[	[	X
ejpam-1920	298	2	25	25	NUM
ejpam-1920	298	3	]	]	X
ejpam-1920	298	4	h	h	PROPN
ejpam-1920	298	5	b	b	PROPN
ejpam-1920	298	6	yilmaz	yilmaz	PROPN
ejpam-1920	298	7	.	.	PUNCT
ejpam-1920	299	1	on	on	ADP
ejpam-1920	299	2	decomposable	decomposable	ADJ
ejpam-1920	299	3	almost	almost	ADV
ejpam-1920	299	4	pseudo	pseudo	NOUN
ejpam-1920	299	5	conharmonically	conharmonically	ADV
ejpam-1920	299	6	symmetric	symmetric	ADJ
ejpam-1920	299	7	manifolds	manifold	NOUN
ejpam-1920	299	8	.	.	PUNCT
ejpam-1920	300	1	acta	acta	PROPN
ejpam-1920	300	2	universitatis	universitatis	PROPN
ejpam-1920	300	3	palackianae	palackianae	VERB
ejpam-1920	300	4	olomucensis	olomucensis	NOUN
ejpam-1920	300	5	.	.	PUNCT
ejpam-1920	301	1	facultas	facultas	PROPN
ejpam-1920	301	2	rerum	rerum	PROPN
ejpam-1920	301	3	naturalium	naturalium	PROPN
ejpam-1920	301	4	.	.	PUNCT
ejpam-1920	302	1	mathematica	mathematica	PROPN
ejpam-1920	302	2	,	,	PUNCT
ejpam-1920	302	3	51(1):111–124	51(1):111–124	NOUN
ejpam-1920	302	4	,	,	PUNCT
ejpam-1920	302	5	2012	2012	NUM
ejpam-1920	302	6	.	.	PUNCT