id	sid	tid	token	lemma	pos
ejpam-2260	1	1	compile	compile	NOUN
ejpam-2260	1	2	/	/	SYM
ejpam-2260	1	3	output.dvi	output.dvi	NOUN
ejpam-2260	1	4	european	european	ADJ
ejpam-2260	1	5	journal	journal	NOUN
ejpam-2260	1	6	of	of	ADP
ejpam-2260	1	7	pure	pure	ADJ
ejpam-2260	1	8	and	and	CCONJ
ejpam-2260	1	9	applied	apply	VERB
ejpam-2260	1	10	mathematics	mathematic	NOUN
ejpam-2260	1	11	vol	vol	NOUN
ejpam-2260	1	12	.	.	PROPN
ejpam-2260	1	13	8	8	NUM
ejpam-2260	1	14	,	,	PUNCT
ejpam-2260	1	15	no	no	INTJ
ejpam-2260	1	16	.	.	NOUN
ejpam-2260	1	17	1	1	NUM
ejpam-2260	1	18	,	,	PUNCT
ejpam-2260	1	19	2015	2015	NUM
ejpam-2260	1	20	,	,	PUNCT
ejpam-2260	1	21	118	118	NUM
ejpam-2260	1	22	-	-	SYM
ejpam-2260	1	23	125	125	NUM
ejpam-2260	1	24	issn	issn	PROPN
ejpam-2260	1	25	1307	1307	NUM
ejpam-2260	1	26	-	-	SYM
ejpam-2260	1	27	5543	5543	NUM
ejpam-2260	1	28	–	–	PUNCT
ejpam-2260	1	29	www.ejpam.com	www.ejpam.com	X
ejpam-2260	1	30	left	leave	VERB
ejpam-2260	1	31	invariant	invariant	ADJ
ejpam-2260	1	32	finsler	finsler	NOUN
ejpam-2260	1	33	manifolds	manifold	NOUN
ejpam-2260	1	34	are	be	AUX
ejpam-2260	1	35	generalized	generalized	ADJ
ejpam-2260	1	36	berwald	berwald	NOUN
ejpam-2260	1	37	bernadett	bernadett	PROPN
ejpam-2260	1	38	aradi	aradi	PROPN
ejpam-2260	1	39	mta	mta	PROPN
ejpam-2260	1	40	-	-	PUNCT
ejpam-2260	1	41	de	de	X
ejpam-2260	1	42	research	research	NOUN
ejpam-2260	1	43	group	group	NOUN
ejpam-2260	1	44	"	"	PUNCT
ejpam-2260	1	45	equations	equation	NOUN
ejpam-2260	1	46	,	,	PUNCT
ejpam-2260	1	47	functions	function	NOUN
ejpam-2260	1	48	and	and	CCONJ
ejpam-2260	1	49	curves	curve	NOUN
ejpam-2260	1	50	"	"	PUNCT
ejpam-2260	1	51	,	,	PUNCT
ejpam-2260	1	52	hungarian	hungarian	ADJ
ejpam-2260	1	53	academy	academy	NOUN
ejpam-2260	1	54	of	of	ADP
ejpam-2260	1	55	sciences	sciences	PROPN
ejpam-2260	1	56	and	and	CCONJ
ejpam-2260	1	57	institute	institute	PROPN
ejpam-2260	1	58	of	of	ADP
ejpam-2260	1	59	mathematics	mathematics	PROPN
ejpam-2260	1	60	,	,	PUNCT
ejpam-2260	1	61	university	university	PROPN
ejpam-2260	1	62	of	of	ADP
ejpam-2260	1	63	debrecen	debrecen	PROPN
ejpam-2260	1	64	,	,	PUNCT
ejpam-2260	1	65	debrecen	debrecen	PROPN
ejpam-2260	1	66	,	,	PUNCT
ejpam-2260	1	67	hungary	hungary	PROPN
ejpam-2260	1	68	abstract	abstract	NOUN
ejpam-2260	1	69	.	.	PUNCT
ejpam-2260	2	1	in	in	ADP
ejpam-2260	2	2	this	this	DET
ejpam-2260	2	3	note	note	NOUN
ejpam-2260	2	4	we	we	PRON
ejpam-2260	2	5	show	show	VERB
ejpam-2260	2	6	that	that	SCONJ
ejpam-2260	2	7	a	a	DET
ejpam-2260	2	8	lie	lie	NOUN
ejpam-2260	2	9	group	group	NOUN
ejpam-2260	2	10	endowed	endow	VERB
ejpam-2260	2	11	with	with	ADP
ejpam-2260	2	12	a	a	DET
ejpam-2260	2	13	left	leave	VERB
ejpam-2260	2	14	invariant	invariant	ADJ
ejpam-2260	2	15	finsler	finsler	NOUN
ejpam-2260	2	16	function	function	NOUN
ejpam-2260	2	17	is	be	AUX
ejpam-2260	2	18	a	a	DET
ejpam-2260	2	19	generalized	generalized	ADJ
ejpam-2260	2	20	berwald	berwald	NOUN
ejpam-2260	2	21	manifold	manifold	ADJ
ejpam-2260	2	22	.	.	PUNCT
ejpam-2260	3	1	this	this	DET
ejpam-2260	3	2	observation	observation	NOUN
ejpam-2260	3	3	makes	make	VERB
ejpam-2260	3	4	it	it	PRON
ejpam-2260	3	5	possible	possible	ADJ
ejpam-2260	3	6	to	to	PART
ejpam-2260	3	7	construct	construct	VERB
ejpam-2260	3	8	a	a	DET
ejpam-2260	3	9	whole	whole	ADJ
ejpam-2260	3	10	class	class	NOUN
ejpam-2260	3	11	of	of	ADP
ejpam-2260	3	12	generalized	generalized	ADJ
ejpam-2260	3	13	berwald	berwald	NOUN
ejpam-2260	3	14	manifolds	manifold	NOUN
ejpam-2260	3	15	,	,	PUNCT
ejpam-2260	3	16	thus	thus	ADV
ejpam-2260	3	17	satisfying	satisfy	VERB
ejpam-2260	3	18	a	a	DET
ejpam-2260	3	19	request	request	NOUN
ejpam-2260	3	20	of	of	ADP
ejpam-2260	3	21	hashiguchi	hashiguchi	NOUN
ejpam-2260	3	22	[	[	X
ejpam-2260	3	23	6	6	NUM
ejpam-2260	3	24	]	]	PUNCT
ejpam-2260	3	25	:	:	PUNCT
ejpam-2260	3	26	’	'	PUNCT
ejpam-2260	3	27	.	.	PUNCT
ejpam-2260	3	28	.	.	PUNCT
ejpam-2260	4	1	.	.	PUNCT
ejpam-2260	5	1	find	find	VERB
ejpam-2260	5	2	much	much	ADV
ejpam-2260	5	3	more	more	ADV
ejpam-2260	5	4	interesting	interesting	ADJ
ejpam-2260	5	5	examples	example	NOUN
ejpam-2260	5	6	’	'	PUNCT
ejpam-2260	5	7	.	.	PUNCT
ejpam-2260	6	1	in	in	ADP
ejpam-2260	6	2	particular	particular	ADJ
ejpam-2260	6	3	,	,	PUNCT
ejpam-2260	6	4	we	we	PRON
ejpam-2260	6	5	show	show	VERB
ejpam-2260	6	6	that	that	SCONJ
ejpam-2260	6	7	the	the	DET
ejpam-2260	6	8	randers	rander	NOUN
ejpam-2260	6	9	lie	lie	VERB
ejpam-2260	6	10	group	group	NOUN
ejpam-2260	6	11	constructed	construct	VERB
ejpam-2260	6	12	by	by	ADP
ejpam-2260	6	13	libing	libing	PROPN
ejpam-2260	6	14	and	and	CCONJ
ejpam-2260	6	15	mo	mo	PROPN
ejpam-2260	6	16	in	in	ADP
ejpam-2260	6	17	an	an	DET
ejpam-2260	6	18	unpublished	unpublished	ADJ
ejpam-2260	6	19	manuscript	manuscript	NOUN
ejpam-2260	6	20	is	be	AUX
ejpam-2260	6	21	in	in	ADP
ejpam-2260	6	22	fact	fact	NOUN
ejpam-2260	6	23	a	a	DET
ejpam-2260	6	24	proper	proper	ADJ
ejpam-2260	6	25	gerenalized	gerenalize	VERB
ejpam-2260	6	26	berwald	berwald	NOUN
ejpam-2260	6	27	manifold	manifold	ADJ
ejpam-2260	6	28	.	.	PUNCT
ejpam-2260	7	1	we	we	PRON
ejpam-2260	7	2	also	also	ADV
ejpam-2260	7	3	have	have	VERB
ejpam-2260	7	4	a	a	DET
ejpam-2260	7	5	look	look	NOUN
ejpam-2260	7	6	at	at	ADP
ejpam-2260	7	7	the	the	DET
ejpam-2260	7	8	more	more	ADV
ejpam-2260	7	9	specific	specific	ADJ
ejpam-2260	7	10	bi	bi	ADJ
ejpam-2260	7	11	-	-	ADJ
ejpam-2260	7	12	invariant	invariant	ADJ
ejpam-2260	7	13	case	case	NOUN
ejpam-2260	7	14	,	,	PUNCT
ejpam-2260	7	15	and	and	CCONJ
ejpam-2260	7	16	review	review	VERB
ejpam-2260	7	17	some	some	DET
ejpam-2260	7	18	essential	essential	ADJ
ejpam-2260	7	19	results	result	NOUN
ejpam-2260	7	20	concerning	concern	VERB
ejpam-2260	7	21	bi	bi	ADJ
ejpam-2260	7	22	-	-	ADJ
ejpam-2260	7	23	invariant	invariant	ADJ
ejpam-2260	7	24	finsler	finsler	NOUN
ejpam-2260	7	25	functions	function	NOUN
ejpam-2260	7	26	with	with	ADP
ejpam-2260	7	27	(	(	PUNCT
ejpam-2260	7	28	at	at	ADP
ejpam-2260	7	29	least	least	ADJ
ejpam-2260	7	30	partly	partly	ADV
ejpam-2260	7	31	)	)	PUNCT
ejpam-2260	7	32	new	new	ADJ
ejpam-2260	7	33	and	and	CCONJ
ejpam-2260	7	34	conceptual	conceptual	ADJ
ejpam-2260	7	35	proofs	proof	NOUN
ejpam-2260	7	36	.	.	PUNCT
ejpam-2260	8	1	2010	2010	NUM
ejpam-2260	8	2	mathematics	mathematic	NOUN
ejpam-2260	8	3	subject	subject	NOUN
ejpam-2260	8	4	classifications	classification	NOUN
ejpam-2260	8	5	:	:	PUNCT
ejpam-2260	8	6	53c60	53c60	NUM
ejpam-2260	8	7	,	,	PUNCT
ejpam-2260	8	8	58b20	58b20	NUM
ejpam-2260	8	9	,	,	PUNCT
ejpam-2260	8	10	22e99	22e99	NUM
ejpam-2260	8	11	key	key	ADJ
ejpam-2260	8	12	words	word	NOUN
ejpam-2260	8	13	and	and	CCONJ
ejpam-2260	8	14	phrases	phrase	NOUN
ejpam-2260	8	15	:	:	PUNCT
ejpam-2260	8	16	generalized	generalized	ADJ
ejpam-2260	8	17	berwald	berwald	NOUN
ejpam-2260	8	18	manifold	manifold	ADJ
ejpam-2260	8	19	,	,	PUNCT
ejpam-2260	8	20	lie	lie	NOUN
ejpam-2260	8	21	group	group	NOUN
ejpam-2260	8	22	,	,	PUNCT
ejpam-2260	8	23	left	leave	VERB
ejpam-2260	8	24	invariant	invariant	ADJ
ejpam-2260	8	25	finsler	finsler	NOUN
ejpam-2260	8	26	function	function	NOUN
ejpam-2260	8	27	,	,	PUNCT
ejpam-2260	8	28	averaging	average	VERB
ejpam-2260	8	29	process	process	NOUN
ejpam-2260	8	30	,	,	PUNCT
ejpam-2260	8	31	geodesics	geodesic	NOUN
ejpam-2260	8	32	1	1	NUM
ejpam-2260	8	33	.	.	PUNCT
ejpam-2260	8	34	preliminaries	preliminary	NOUN
ejpam-2260	8	35	1.1	1.1	NUM
ejpam-2260	8	36	.	.	PUNCT
ejpam-2260	9	1	let	let	VERB
ejpam-2260	9	2	m	m	PRON
ejpam-2260	9	3	be	be	AUX
ejpam-2260	9	4	an	an	DET
ejpam-2260	9	5	n	n	ADV
ejpam-2260	9	6	-	-	PUNCT
ejpam-2260	9	7	dimensional	dimensional	ADJ
ejpam-2260	9	8	(	(	PUNCT
ejpam-2260	9	9	hausdorff	hausdorff	NOUN
ejpam-2260	9	10	,	,	PUNCT
ejpam-2260	9	11	second	second	ADV
ejpam-2260	9	12	countable	countable	ADJ
ejpam-2260	9	13	,	,	PUNCT
ejpam-2260	9	14	connected	connected	ADJ
ejpam-2260	9	15	,	,	PUNCT
ejpam-2260	9	16	smooth	smooth	ADJ
ejpam-2260	9	17	)	)	PUNCT
ejpam-2260	9	18	manifold	manifold	NOUN
ejpam-2260	9	19	(	(	PUNCT
ejpam-2260	9	20	n	n	CCONJ
ejpam-2260	9	21	≥	≥	NOUN
ejpam-2260	9	22	2	2	NUM
ejpam-2260	9	23	)	)	PUNCT
ejpam-2260	9	24	.	.	PUNCT
ejpam-2260	10	1	the	the	DET
ejpam-2260	10	2	real	real	ADJ
ejpam-2260	10	3	lie	lie	NOUN
ejpam-2260	10	4	algebra	algebra	NOUN
ejpam-2260	10	5	of	of	ADP
ejpam-2260	10	6	smooth	smooth	ADJ
ejpam-2260	10	7	vector	vector	NOUN
ejpam-2260	10	8	fields	field	NOUN
ejpam-2260	10	9	on	on	ADP
ejpam-2260	10	10	m	m	PROPN
ejpam-2260	10	11	is	be	AUX
ejpam-2260	10	12	denoted	denote	VERB
ejpam-2260	10	13	by	by	ADP
ejpam-2260	10	14	x(m	x(m	PROPN
ejpam-2260	10	15	)	)	PUNCT
ejpam-2260	10	16	.	.	PUNCT
ejpam-2260	11	1	if	if	SCONJ
ejpam-2260	11	2	ϕ	ϕ	NOUN
ejpam-2260	11	3	:	:	PUNCT
ejpam-2260	11	4	m	m	VERB
ejpam-2260	11	5	→	→	NOUN
ejpam-2260	11	6	m	m	VERB
ejpam-2260	11	7	is	be	AUX
ejpam-2260	11	8	a	a	DET
ejpam-2260	11	9	smooth	smooth	ADJ
ejpam-2260	11	10	mapping	mapping	NOUN
ejpam-2260	11	11	,	,	PUNCT
ejpam-2260	11	12	then	then	ADV
ejpam-2260	11	13	ϕ∗	ϕ∗	VERB
ejpam-2260	11	14	:	:	PUNCT
ejpam-2260	12	1	t	t	PROPN
ejpam-2260	12	2	m	m	PROPN
ejpam-2260	12	3	→	→	PROPN
ejpam-2260	12	4	t	t	PROPN
ejpam-2260	12	5	m	m	NOUN
ejpam-2260	12	6	is	be	AUX
ejpam-2260	12	7	its	its	PRON
ejpam-2260	12	8	derivative	derivative	NOUN
ejpam-2260	12	9	.	.	PUNCT
ejpam-2260	13	1	we	we	PRON
ejpam-2260	13	2	use	use	VERB
ejpam-2260	13	3	the	the	DET
ejpam-2260	13	4	notions	notion	NOUN
ejpam-2260	13	5	finsler	finsler	NOUN
ejpam-2260	13	6	function	function	NOUN
ejpam-2260	13	7	and	and	CCONJ
ejpam-2260	13	8	finsler	finsler	NOUN
ejpam-2260	13	9	manifold	manifold	ADJ
ejpam-2260	13	10	as	as	ADP
ejpam-2260	13	11	in	in	ADP
ejpam-2260	13	12	[	[	X
ejpam-2260	13	13	2	2	NUM
ejpam-2260	13	14	]	]	PUNCT
ejpam-2260	13	15	or	or	CCONJ
ejpam-2260	13	16	[	[	X
ejpam-2260	13	17	14	14	NUM
ejpam-2260	13	18	]	]	PUNCT
ejpam-2260	13	19	.	.	PUNCT
ejpam-2260	14	1	by	by	ADP
ejpam-2260	14	2	a	a	DET
ejpam-2260	14	3	geodesic	geodesic	NOUN
ejpam-2260	14	4	of	of	ADP
ejpam-2260	14	5	a	a	DET
ejpam-2260	14	6	finsler	finsler	NOUN
ejpam-2260	14	7	function	function	NOUN
ejpam-2260	14	8	f	f	NOUN
ejpam-2260	14	9	:	:	PUNCT
ejpam-2260	14	10	t	t	PROPN
ejpam-2260	14	11	m	m	PROPN
ejpam-2260	14	12	→	→	SYM
ejpam-2260	14	13	r	r	NOUN
ejpam-2260	14	14	we	we	PRON
ejpam-2260	14	15	mean	mean	VERB
ejpam-2260	14	16	a	a	DET
ejpam-2260	14	17	smooth	smooth	ADJ
ejpam-2260	14	18	curve	curve	NOUN
ejpam-2260	14	19	in	in	ADP
ejpam-2260	14	20	m	m	PRON
ejpam-2260	14	21	whose	whose	DET
ejpam-2260	14	22	velocity	velocity	NOUN
ejpam-2260	14	23	field	field	NOUN
ejpam-2260	14	24	is	be	AUX
ejpam-2260	14	25	an	an	DET
ejpam-2260	14	26	integral	integral	ADJ
ejpam-2260	14	27	curve	curve	NOUN
ejpam-2260	14	28	of	of	ADP
ejpam-2260	14	29	the	the	DET
ejpam-2260	14	30	canonical	canonical	ADJ
ejpam-2260	14	31	spray	spray	NOUN
ejpam-2260	14	32	of	of	ADP
ejpam-2260	14	33	(	(	PUNCT
ejpam-2260	14	34	m	m	PROPN
ejpam-2260	14	35	,	,	PUNCT
ejpam-2260	14	36	f	f	X
ejpam-2260	14	37	)	)	PUNCT
ejpam-2260	15	1	[	[	X
ejpam-2260	15	2	14	14	NUM
ejpam-2260	15	3	,	,	PUNCT
ejpam-2260	15	4	lemma	lemma	PROPN
ejpam-2260	15	5	and	and	CCONJ
ejpam-2260	15	6	definition	definition	NOUN
ejpam-2260	15	7	9.2.17	9.2.17	NUM
ejpam-2260	15	8	]	]	PUNCT
ejpam-2260	15	9	.	.	PUNCT
ejpam-2260	16	1	in	in	ADP
ejpam-2260	16	2	the	the	DET
ejpam-2260	16	3	near	near	ADJ
ejpam-2260	16	4	one	one	NUM
ejpam-2260	16	5	hundred	hundred	NUM
ejpam-2260	16	6	years	year	NOUN
ejpam-2260	16	7	of	of	ADP
ejpam-2260	16	8	history	history	NOUN
ejpam-2260	16	9	of	of	ADP
ejpam-2260	16	10	finsler	finsler	NOUN
ejpam-2260	16	11	geometry	geometry	NOUN
ejpam-2260	16	12	many	many	ADJ
ejpam-2260	16	13	special	special	ADJ
ejpam-2260	16	14	classes	class	NOUN
ejpam-2260	16	15	of	of	ADP
ejpam-2260	16	16	finsler	finsler	NOUN
ejpam-2260	16	17	manifolds	manifold	NOUN
ejpam-2260	16	18	have	have	AUX
ejpam-2260	16	19	been	be	AUX
ejpam-2260	16	20	introduced	introduce	VERB
ejpam-2260	16	21	and	and	CCONJ
ejpam-2260	16	22	studied	study	VERB
ejpam-2260	16	23	in	in	ADP
ejpam-2260	16	24	detail	detail	NOUN
ejpam-2260	16	25	.	.	PUNCT
ejpam-2260	17	1	the	the	DET
ejpam-2260	17	2	main	main	ADJ
ejpam-2260	17	3	actors	actor	NOUN
ejpam-2260	17	4	in	in	ADP
ejpam-2260	17	5	our	our	PRON
ejpam-2260	17	6	considerations	consideration	NOUN
ejpam-2260	17	7	are	be	AUX
ejpam-2260	17	8	berwald	berwald	NOUN
ejpam-2260	17	9	manifolds	manifold	NOUN
ejpam-2260	17	10	and	and	CCONJ
ejpam-2260	17	11	generalized	generalized	ADJ
ejpam-2260	17	12	berwald	berwald	NOUN
ejpam-2260	17	13	manifolds	manifold	NOUN
ejpam-2260	17	14	.	.	PUNCT
ejpam-2260	18	1	a	a	DET
ejpam-2260	18	2	possible	possible	ADJ
ejpam-2260	18	3	definition	definition	NOUN
ejpam-2260	18	4	of	of	ADP
ejpam-2260	18	5	them	they	PRON
ejpam-2260	18	6	sounds	sound	VERB
ejpam-2260	18	7	as	as	SCONJ
ejpam-2260	18	8	follows	follow	VERB
ejpam-2260	18	9	:	:	PUNCT
ejpam-2260	18	10	definition	definition	NOUN
ejpam-2260	18	11	1	1	NUM
ejpam-2260	18	12	(	(	PUNCT
ejpam-2260	18	13	[	[	X
ejpam-2260	18	14	12	12	NUM
ejpam-2260	18	15	,	,	PUNCT
ejpam-2260	18	16	definition	definition	NOUN
ejpam-2260	18	17	4.1	4.1	NUM
ejpam-2260	18	18	and	and	CCONJ
ejpam-2260	18	19	proposition	proposition	NOUN
ejpam-2260	18	20	4.3	4.3	NUM
ejpam-2260	18	21	]	]	PUNCT
ejpam-2260	18	22	)	)	PUNCT
ejpam-2260	18	23	.	.	PUNCT
ejpam-2260	19	1	a	a	DET
ejpam-2260	19	2	finsler	finsler	NOUN
ejpam-2260	19	3	manifold	manifold	NOUN
ejpam-2260	19	4	(	(	PUNCT
ejpam-2260	19	5	m	m	PROPN
ejpam-2260	19	6	,	,	PUNCT
ejpam-2260	19	7	f	f	X
ejpam-2260	19	8	)	)	PUNCT
ejpam-2260	19	9	is	be	AUX
ejpam-2260	19	10	a	a	DET
ejpam-2260	19	11	generalized	generalized	ADJ
ejpam-2260	19	12	berwald	berwald	NOUN
ejpam-2260	19	13	manifold	manifold	ADJ
ejpam-2260	19	14	if	if	SCONJ
ejpam-2260	19	15	there	there	PRON
ejpam-2260	19	16	exists	exist	VERB
ejpam-2260	19	17	a	a	DET
ejpam-2260	19	18	covariant	covariant	ADJ
ejpam-2260	19	19	derivative	derivative	ADJ
ejpam-2260	19	20	∇	∇	NOUN
ejpam-2260	19	21	on	on	ADP
ejpam-2260	19	22	m	m	PRON
ejpam-2260	19	23	such	such	ADJ
ejpam-2260	19	24	that	that	SCONJ
ejpam-2260	19	25	the	the	DET
ejpam-2260	19	26	parallel	parallel	ADJ
ejpam-2260	19	27	translations	translation	NOUN
ejpam-2260	19	28	induced	induce	VERB
ejpam-2260	19	29	by	by	ADP
ejpam-2260	19	30	∇	∇	NOUN
ejpam-2260	19	31	preserve	preserve	VERB
ejpam-2260	19	32	the	the	DET
ejpam-2260	19	33	finsler	finsler	NOUN
ejpam-2260	19	34	function	function	NOUN
ejpam-2260	19	35	f.	f.	PROPN
ejpam-2260	19	36	if	if	SCONJ
ejpam-2260	19	37	the	the	DET
ejpam-2260	19	38	covariant	covariant	ADJ
ejpam-2260	19	39	derivative	derivative	ADJ
ejpam-2260	19	40	∇	∇	NOUN
ejpam-2260	19	41	is	be	AUX
ejpam-2260	19	42	also	also	ADV
ejpam-2260	19	43	torsion	torsion	NOUN
ejpam-2260	19	44	-	-	PUNCT
ejpam-2260	19	45	free	free	ADJ
ejpam-2260	19	46	,	,	PUNCT
ejpam-2260	19	47	then	then	ADV
ejpam-2260	19	48	(	(	PUNCT
ejpam-2260	19	49	m	m	PROPN
ejpam-2260	19	50	,	,	PUNCT
ejpam-2260	19	51	f	f	X
ejpam-2260	19	52	)	)	PUNCT
ejpam-2260	19	53	is	be	AUX
ejpam-2260	19	54	called	call	VERB
ejpam-2260	19	55	a	a	DET
ejpam-2260	19	56	berwald	berwald	NOUN
ejpam-2260	19	57	manifold	manifold	ADJ
ejpam-2260	19	58	.	.	PUNCT
ejpam-2260	20	1	email	email	NOUN
ejpam-2260	20	2	address	address	NOUN
ejpam-2260	20	3	:	:	PUNCT
ejpam-2260	20	4	bernadett.aradi@science.unideb.hu	bernadett.aradi@science.unideb.hu	PROPN
ejpam-2260	20	5	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-2260	21	1	118	118	NUM
ejpam-2260	21	2	c	c	X
ejpam-2260	21	3	©	©	PROPN
ejpam-2260	21	4	2015	2015	NUM
ejpam-2260	21	5	ejpam	ejpam	VERB
ejpam-2260	21	6	all	all	DET
ejpam-2260	21	7	rights	right	NOUN
ejpam-2260	21	8	reserved	reserve	VERB
ejpam-2260	21	9	.	.	PUNCT
ejpam-2260	22	1	b.	b.	PROPN
ejpam-2260	22	2	aradi	aradi	PROPN
ejpam-2260	22	3	/	/	SYM
ejpam-2260	22	4	eur	eur	PROPN
ejpam-2260	22	5	.	.	PUNCT
ejpam-2260	23	1	j.	j.	PROPN
ejpam-2260	23	2	pure	pure	PROPN
ejpam-2260	23	3	appl	appl	PROPN
ejpam-2260	23	4	.	.	PROPN
ejpam-2260	23	5	math	math	PROPN
ejpam-2260	23	6	,	,	PUNCT
ejpam-2260	23	7	8	8	NUM
ejpam-2260	23	8	(	(	PUNCT
ejpam-2260	23	9	2015	2015	NUM
ejpam-2260	23	10	)	)	PUNCT
ejpam-2260	23	11	,	,	PUNCT
ejpam-2260	23	12	118	118	NUM
ejpam-2260	23	13	-	-	SYM
ejpam-2260	23	14	125	125	NUM
ejpam-2260	23	15	119	119	NUM
ejpam-2260	23	16	in	in	ADP
ejpam-2260	23	17	the	the	DET
ejpam-2260	23	18	case	case	NOUN
ejpam-2260	23	19	of	of	ADP
ejpam-2260	23	20	berwald	berwald	NOUN
ejpam-2260	23	21	manifolds	manifold	VERB
ejpam-2260	23	22	the	the	DET
ejpam-2260	23	23	torsion	torsion	NOUN
ejpam-2260	23	24	-	-	PUNCT
ejpam-2260	23	25	free	free	ADJ
ejpam-2260	23	26	covariant	covariant	ADJ
ejpam-2260	23	27	derivative	derivative	NOUN
ejpam-2260	23	28	mentioned	mention	VERB
ejpam-2260	23	29	in	in	ADP
ejpam-2260	23	30	the	the	DET
ejpam-2260	23	31	definition	definition	NOUN
ejpam-2260	23	32	above	above	ADV
ejpam-2260	23	33	is	be	AUX
ejpam-2260	23	34	unique	unique	ADJ
ejpam-2260	23	35	.	.	PUNCT
ejpam-2260	24	1	for	for	ADP
ejpam-2260	24	2	a	a	DET
ejpam-2260	24	3	recent	recent	ADJ
ejpam-2260	24	4	introduction	introduction	NOUN
ejpam-2260	24	5	to	to	ADP
ejpam-2260	24	6	berwald	berwald	NOUN
ejpam-2260	24	7	manifolds	manifold	NOUN
ejpam-2260	24	8	we	we	PRON
ejpam-2260	24	9	refer	refer	VERB
ejpam-2260	24	10	to	to	ADP
ejpam-2260	24	11	[	[	X
ejpam-2260	24	12	13	13	NUM
ejpam-2260	24	13	]	]	SYM
ejpam-2260	24	14	.	.	PUNCT
ejpam-2260	25	1	1.2	1.2	NUM
ejpam-2260	25	2	.	.	PUNCT
ejpam-2260	26	1	throughout	throughout	ADP
ejpam-2260	26	2	the	the	DET
ejpam-2260	26	3	paper	paper	NOUN
ejpam-2260	26	4	g	g	PROPN
ejpam-2260	26	5	denotes	denote	VERB
ejpam-2260	26	6	a	a	DET
ejpam-2260	26	7	connected	connected	ADJ
ejpam-2260	26	8	lie	lie	NOUN
ejpam-2260	26	9	group	group	NOUN
ejpam-2260	26	10	with	with	ADP
ejpam-2260	26	11	identity	identity	NOUN
ejpam-2260	26	12	element	element	NOUN
ejpam-2260	26	13	e	e	NOUN
ejpam-2260	26	14	,	,	PUNCT
ejpam-2260	26	15	while	while	SCONJ
ejpam-2260	26	16	λg	λg	NOUN
ejpam-2260	26	17	and	and	CCONJ
ejpam-2260	26	18	ρg	ρg	NOUN
ejpam-2260	26	19	stand	stand	VERB
ejpam-2260	26	20	for	for	ADP
ejpam-2260	26	21	the	the	DET
ejpam-2260	26	22	left	left	ADJ
ejpam-2260	26	23	and	and	CCONJ
ejpam-2260	26	24	right	right	ADJ
ejpam-2260	26	25	translation	translation	NOUN
ejpam-2260	26	26	by	by	ADP
ejpam-2260	26	27	g	g	PROPN
ejpam-2260	26	28	∈	∈	PROPN
ejpam-2260	26	29	g	g	PROPN
ejpam-2260	26	30	,	,	PUNCT
ejpam-2260	26	31	respectively	respectively	ADV
ejpam-2260	26	32	.	.	PUNCT
ejpam-2260	27	1	the	the	DET
ejpam-2260	27	2	lie	lie	NOUN
ejpam-2260	27	3	algebra	algebra	NOUN
ejpam-2260	27	4	of	of	ADP
ejpam-2260	27	5	left	left	ADJ
ejpam-2260	27	6	invariant	invariant	ADJ
ejpam-2260	27	7	vector	vector	NOUN
ejpam-2260	27	8	fields	field	NOUN
ejpam-2260	27	9	is	be	AUX
ejpam-2260	27	10	denoted	denote	VERB
ejpam-2260	27	11	by	by	ADP
ejpam-2260	27	12	xl(g	xl(g	NOUN
ejpam-2260	27	13	)	)	PUNCT
ejpam-2260	27	14	.	.	PUNCT
ejpam-2260	28	1	as	as	ADP
ejpam-2260	28	2	a	a	DET
ejpam-2260	28	3	real	real	ADJ
ejpam-2260	28	4	vector	vector	NOUN
ejpam-2260	28	5	space	space	NOUN
ejpam-2260	28	6	,	,	PUNCT
ejpam-2260	28	7	xl(g	xl(g	NOUN
ejpam-2260	28	8	)	)	PUNCT
ejpam-2260	28	9	is	be	AUX
ejpam-2260	28	10	canonically	canonically	ADV
ejpam-2260	28	11	isomorphic	isomorphic	ADJ
ejpam-2260	28	12	to	to	ADP
ejpam-2260	28	13	the	the	DET
ejpam-2260	28	14	tangent	tangent	NOUN
ejpam-2260	28	15	space	space	PROPN
ejpam-2260	28	16	teg	teg	PROPN
ejpam-2260	28	17	.	.	PUNCT
ejpam-2260	29	1	for	for	ADP
ejpam-2260	29	2	basic	basic	ADJ
ejpam-2260	29	3	lie	lie	NOUN
ejpam-2260	29	4	theory	theory	NOUN
ejpam-2260	29	5	the	the	DET
ejpam-2260	29	6	reader	reader	NOUN
ejpam-2260	29	7	is	be	AUX
ejpam-2260	29	8	referred	refer	VERB
ejpam-2260	29	9	to	to	ADP
ejpam-2260	29	10	[	[	X
ejpam-2260	29	11	7	7	NUM
ejpam-2260	29	12	,	,	PUNCT
ejpam-2260	29	13	chapter	chapter	NOUN
ejpam-2260	29	14	9	9	NUM
ejpam-2260	29	15	]	]	PUNCT
ejpam-2260	29	16	.	.	PUNCT
ejpam-2260	30	1	a	a	DET
ejpam-2260	30	2	finsler	finsler	NOUN
ejpam-2260	30	3	function	function	NOUN
ejpam-2260	30	4	f	f	PROPN
ejpam-2260	30	5	on	on	ADP
ejpam-2260	30	6	g	g	PROPN
ejpam-2260	30	7	is	be	AUX
ejpam-2260	30	8	left	leave	VERB
ejpam-2260	30	9	invariant	invariant	ADJ
ejpam-2260	30	10	if	if	SCONJ
ejpam-2260	30	11	f	f	X
ejpam-2260	30	12	◦	◦	NOUN
ejpam-2260	30	13	(	(	PUNCT
ejpam-2260	30	14	λg)∗	λg)∗	X
ejpam-2260	30	15	=	=	SYM
ejpam-2260	30	16	f	f	PROPN
ejpam-2260	30	17	for	for	ADP
ejpam-2260	30	18	any	any	DET
ejpam-2260	30	19	g	g	PROPN
ejpam-2260	30	20	∈	∈	PROPN
ejpam-2260	30	21	g	g	NOUN
ejpam-2260	30	22	,	,	PUNCT
ejpam-2260	30	23	right	right	ADV
ejpam-2260	30	24	invariant	invariant	ADJ
ejpam-2260	30	25	if	if	SCONJ
ejpam-2260	30	26	f	f	X
ejpam-2260	30	27	◦	◦	NOUN
ejpam-2260	30	28	(	(	PUNCT
ejpam-2260	30	29	ρg)∗	ρg)∗	PROPN
ejpam-2260	30	30	=	=	SYM
ejpam-2260	30	31	f	f	PROPN
ejpam-2260	30	32	for	for	ADP
ejpam-2260	30	33	any	any	DET
ejpam-2260	30	34	g	g	PROPN
ejpam-2260	30	35	∈	∈	PROPN
ejpam-2260	30	36	g	g	NOUN
ejpam-2260	30	37	,	,	PUNCT
ejpam-2260	30	38	and	and	CCONJ
ejpam-2260	30	39	bi	bi	ADJ
ejpam-2260	30	40	-	-	ADJ
ejpam-2260	30	41	invariant	invariant	ADJ
ejpam-2260	30	42	if	if	SCONJ
ejpam-2260	30	43	it	it	PRON
ejpam-2260	30	44	is	be	AUX
ejpam-2260	30	45	both	both	PRON
ejpam-2260	30	46	left	left	ADJ
ejpam-2260	30	47	and	and	CCONJ
ejpam-2260	30	48	right	right	ADJ
ejpam-2260	30	49	invariant	invariant	ADJ
ejpam-2260	30	50	.	.	PUNCT
ejpam-2260	31	1	2	2	X
ejpam-2260	31	2	.	.	X
ejpam-2260	31	3	bi	bi	ADJ
ejpam-2260	31	4	-	-	ADJ
ejpam-2260	31	5	invariant	invariant	ADJ
ejpam-2260	31	6	finsler	finsler	NOUN
ejpam-2260	31	7	functions	function	NOUN
ejpam-2260	31	8	the	the	DET
ejpam-2260	31	9	following	follow	VERB
ejpam-2260	31	10	lemma	lemma	PROPN
ejpam-2260	31	11	and	and	CCONJ
ejpam-2260	31	12	its	its	PRON
ejpam-2260	31	13	proof	proof	NOUN
ejpam-2260	31	14	can	can	AUX
ejpam-2260	31	15	be	be	AUX
ejpam-2260	31	16	found	find	VERB
ejpam-2260	31	17	in	in	ADP
ejpam-2260	31	18	the	the	DET
ejpam-2260	31	19	manuscript	manuscript	NOUN
ejpam-2260	31	20	of	of	ADP
ejpam-2260	31	21	libing	libing	PROPN
ejpam-2260	31	22	and	and	CCONJ
ejpam-2260	31	23	mo	mo	NOUN
ejpam-2260	31	24	mentioned	mention	VERB
ejpam-2260	31	25	above	above	ADV
ejpam-2260	31	26	.	.	PUNCT
ejpam-2260	32	1	(	(	PUNCT
ejpam-2260	32	2	we	we	PRON
ejpam-2260	32	3	found	find	VERB
ejpam-2260	32	4	this	this	DET
ejpam-2260	32	5	manuscript	manuscript	NOUN
ejpam-2260	32	6	on	on	ADP
ejpam-2260	32	7	the	the	DET
ejpam-2260	32	8	website	website	NOUN
ejpam-2260	32	9	of	of	ADP
ejpam-2260	32	10	the	the	DET
ejpam-2260	32	11	school	school	NOUN
ejpam-2260	32	12	of	of	ADP
ejpam-2260	32	13	mathematical	mathematical	ADJ
ejpam-2260	32	14	sciences	science	NOUN
ejpam-2260	32	15	,	,	PUNCT
ejpam-2260	32	16	peking	peking	NOUN
ejpam-2260	32	17	university	university	NOUN
ejpam-2260	32	18	,	,	PUNCT
ejpam-2260	32	19	however	however	ADV
ejpam-2260	32	20	,	,	PUNCT
ejpam-2260	32	21	it	it	PRON
ejpam-2260	32	22	is	be	AUX
ejpam-2260	32	23	now	now	ADV
ejpam-2260	32	24	unavailable	unavailable	ADJ
ejpam-2260	32	25	.	.	PUNCT
ejpam-2260	32	26	)	)	PUNCT
ejpam-2260	33	1	we	we	PRON
ejpam-2260	33	2	find	find	VERB
ejpam-2260	33	3	it	it	PRON
ejpam-2260	33	4	useful	useful	ADJ
ejpam-2260	33	5	to	to	PART
ejpam-2260	33	6	recall	recall	VERB
ejpam-2260	33	7	this	this	DET
ejpam-2260	33	8	result	result	NOUN
ejpam-2260	33	9	with	with	ADP
ejpam-2260	33	10	our	our	PRON
ejpam-2260	33	11	proof	proof	NOUN
ejpam-2260	33	12	,	,	PUNCT
ejpam-2260	33	13	which	which	PRON
ejpam-2260	33	14	seems	seem	VERB
ejpam-2260	33	15	to	to	PART
ejpam-2260	33	16	be	be	AUX
ejpam-2260	33	17	simpler	simple	ADJ
ejpam-2260	33	18	than	than	ADP
ejpam-2260	33	19	the	the	DET
ejpam-2260	33	20	original	original	ADJ
ejpam-2260	33	21	one	one	NOUN
ejpam-2260	33	22	,	,	PUNCT
ejpam-2260	33	23	and	and	CCONJ
ejpam-2260	33	24	is	be	AUX
ejpam-2260	33	25	based	base	VERB
ejpam-2260	33	26	on	on	ADP
ejpam-2260	33	27	important	important	ADJ
ejpam-2260	33	28	ideas	idea	NOUN
ejpam-2260	33	29	.	.	PUNCT
ejpam-2260	34	1	lemma	lemma	PROPN
ejpam-2260	34	2	1	1	X
ejpam-2260	34	3	.	.	PUNCT
ejpam-2260	35	1	let	let	VERB
ejpam-2260	35	2	f	f	PRON
ejpam-2260	35	3	be	be	AUX
ejpam-2260	35	4	a	a	DET
ejpam-2260	35	5	bi	bi	ADJ
ejpam-2260	35	6	-	-	ADJ
ejpam-2260	35	7	invariant	invariant	ADJ
ejpam-2260	35	8	finsler	finsler	NOUN
ejpam-2260	35	9	function	function	NOUN
ejpam-2260	35	10	on	on	ADP
ejpam-2260	35	11	a	a	DET
ejpam-2260	35	12	lie	lie	NOUN
ejpam-2260	35	13	group	group	NOUN
ejpam-2260	35	14	g.	g.	PROPN
ejpam-2260	36	1	then	then	ADV
ejpam-2260	36	2	the	the	DET
ejpam-2260	36	3	geodesics	geodesic	NOUN
ejpam-2260	36	4	of	of	ADP
ejpam-2260	36	5	f	f	PROPN
ejpam-2260	36	6	starting	start	VERB
ejpam-2260	36	7	at	at	ADP
ejpam-2260	36	8	e	e	PROPN
ejpam-2260	36	9	are	be	AUX
ejpam-2260	36	10	the	the	DET
ejpam-2260	36	11	one	one	NUM
ejpam-2260	36	12	-	-	PUNCT
ejpam-2260	36	13	parameter	parameter	NOUN
ejpam-2260	36	14	subgroups	subgroup	NOUN
ejpam-2260	36	15	of	of	ADP
ejpam-2260	36	16	g.	g.	PROPN
ejpam-2260	36	17	furthermore	furthermore	ADV
ejpam-2260	36	18	,	,	PUNCT
ejpam-2260	36	19	all	all	DET
ejpam-2260	36	20	other	other	ADJ
ejpam-2260	36	21	geodesics	geodesic	NOUN
ejpam-2260	36	22	are	be	AUX
ejpam-2260	36	23	left	leave	VERB
ejpam-2260	36	24	translations	translation	NOUN
ejpam-2260	36	25	of	of	ADP
ejpam-2260	36	26	the	the	DET
ejpam-2260	36	27	one	one	NUM
ejpam-2260	36	28	-	-	PUNCT
ejpam-2260	36	29	parameter	parameter	NOUN
ejpam-2260	36	30	subgroups	subgroup	NOUN
ejpam-2260	36	31	.	.	PUNCT
ejpam-2260	37	1	proof	proof	NOUN
ejpam-2260	37	2	.	.	PUNCT
ejpam-2260	38	1	let	let	VERB
ejpam-2260	38	2	α	α	PRON
ejpam-2260	38	3	:	:	PUNCT
ejpam-2260	38	4	r	r	NOUN
ejpam-2260	38	5	→	→	SYM
ejpam-2260	38	6	g	g	NOUN
ejpam-2260	38	7	denote	denote	VERB
ejpam-2260	38	8	a	a	DET
ejpam-2260	38	9	one	one	NUM
ejpam-2260	38	10	-	-	PUNCT
ejpam-2260	38	11	parameter	parameter	NOUN
ejpam-2260	38	12	subgroup	subgroup	NOUN
ejpam-2260	38	13	of	of	ADP
ejpam-2260	38	14	g	g	PROPN
ejpam-2260	38	15	with	with	ADP
ejpam-2260	38	16	v	v	NOUN
ejpam-2260	38	17	:	:	PUNCT
ejpam-2260	38	18	=	=	SYM
ejpam-2260	38	19	α̇(0	α̇(0	ADV
ejpam-2260	38	20	)	)	PUNCT
ejpam-2260	38	21	∈	∈	PROPN
ejpam-2260	38	22	teg	teg	NOUN
ejpam-2260	38	23	,	,	PUNCT
ejpam-2260	38	24	and	and	CCONJ
ejpam-2260	38	25	consider	consider	VERB
ejpam-2260	38	26	the	the	DET
ejpam-2260	38	27	left	leave	VERB
ejpam-2260	38	28	invariant	invariant	ADJ
ejpam-2260	38	29	vector	vector	NOUN
ejpam-2260	38	30	field	field	NOUN
ejpam-2260	38	31	x	x	PUNCT
ejpam-2260	38	32	corresponding	correspond	VERB
ejpam-2260	38	33	to	to	ADP
ejpam-2260	38	34	v	v	NOUN
ejpam-2260	38	35	,	,	PUNCT
ejpam-2260	38	36	that	that	ADV
ejpam-2260	38	37	is	is	ADV
ejpam-2260	38	38	,	,	PUNCT
ejpam-2260	38	39	x	x	X
ejpam-2260	38	40	(	(	PUNCT
ejpam-2260	38	41	e	e	NOUN
ejpam-2260	38	42	)	)	PUNCT
ejpam-2260	38	43	=	=	SYM
ejpam-2260	38	44	v	v	NOUN
ejpam-2260	38	45	=	=	SYM
ejpam-2260	38	46	α̇(0	α̇(0	NOUN
ejpam-2260	38	47	)	)	PUNCT
ejpam-2260	38	48	.	.	PUNCT
ejpam-2260	39	1	then	then	ADV
ejpam-2260	39	2	α	α	PROPN
ejpam-2260	39	3	is	be	AUX
ejpam-2260	39	4	an	an	DET
ejpam-2260	39	5	integral	integral	ADJ
ejpam-2260	39	6	curve	curve	NOUN
ejpam-2260	39	7	of	of	ADP
ejpam-2260	39	8	x	x	X
ejpam-2260	39	9	.	.	PUNCT
ejpam-2260	40	1	furthermore	furthermore	ADV
ejpam-2260	40	2	,	,	PUNCT
ejpam-2260	40	3	let	let	VERB
ejpam-2260	40	4	γ	γ	X
ejpam-2260	40	5	:	:	PUNCT
ejpam-2260	40	6	r→	r→	PROPN
ejpam-2260	40	7	g	g	PROPN
ejpam-2260	40	8	be	be	AUX
ejpam-2260	40	9	the	the	DET
ejpam-2260	40	10	geodesic	geodesic	NOUN
ejpam-2260	40	11	of	of	ADP
ejpam-2260	40	12	f	f	PROPN
ejpam-2260	40	13	satisfying	satisfy	VERB
ejpam-2260	40	14	γ(0	γ(0	PROPN
ejpam-2260	40	15	)	)	PUNCT
ejpam-2260	40	16	=	=	SYM
ejpam-2260	40	17	e	e	NOUN
ejpam-2260	40	18	and	and	CCONJ
ejpam-2260	40	19	γ̇(0	γ̇(0	X
ejpam-2260	40	20	)	)	PUNCT
ejpam-2260	40	21	=	=	PUNCT
ejpam-2260	41	1	v.	v.	ADP
ejpam-2260	41	2	our	our	PRON
ejpam-2260	41	3	aim	aim	NOUN
ejpam-2260	41	4	is	be	AUX
ejpam-2260	41	5	to	to	PART
ejpam-2260	41	6	show	show	VERB
ejpam-2260	41	7	that	that	SCONJ
ejpam-2260	41	8	γ	γ	PROPN
ejpam-2260	41	9	is	be	AUX
ejpam-2260	41	10	also	also	ADV
ejpam-2260	41	11	an	an	DET
ejpam-2260	41	12	integral	integral	ADJ
ejpam-2260	41	13	curve	curve	NOUN
ejpam-2260	41	14	of	of	ADP
ejpam-2260	41	15	x	x	PRON
ejpam-2260	41	16	,	,	PUNCT
ejpam-2260	41	17	whence	whence	ADP
ejpam-2260	41	18	by	by	ADP
ejpam-2260	41	19	the	the	DET
ejpam-2260	41	20	uniqueness	uniqueness	NOUN
ejpam-2260	41	21	of	of	ADP
ejpam-2260	41	22	integral	integral	ADJ
ejpam-2260	41	23	curves	curve	NOUN
ejpam-2260	41	24	with	with	ADP
ejpam-2260	41	25	given	give	VERB
ejpam-2260	41	26	initial	initial	ADJ
ejpam-2260	41	27	velocity	velocity	NOUN
ejpam-2260	41	28	yields	yield	VERB
ejpam-2260	41	29	α	α	NOUN
ejpam-2260	41	30	=	=	SYM
ejpam-2260	41	31	γ	γ	X
ejpam-2260	41	32	,	,	PUNCT
ejpam-2260	41	33	and	and	CCONJ
ejpam-2260	41	34	the	the	DET
ejpam-2260	41	35	first	first	ADJ
ejpam-2260	41	36	assertion	assertion	NOUN
ejpam-2260	41	37	of	of	ADP
ejpam-2260	41	38	the	the	DET
ejpam-2260	41	39	lemma	lemma	PROPN
ejpam-2260	41	40	will	will	AUX
ejpam-2260	41	41	be	be	AUX
ejpam-2260	41	42	thus	thus	ADV
ejpam-2260	41	43	proved	prove	VERB
ejpam-2260	41	44	.	.	PUNCT
ejpam-2260	42	1	notice	notice	VERB
ejpam-2260	42	2	first	first	ADV
ejpam-2260	42	3	,	,	PUNCT
ejpam-2260	42	4	that	that	SCONJ
ejpam-2260	42	5	since	since	SCONJ
ejpam-2260	42	6	geodesics	geodesic	NOUN
ejpam-2260	42	7	have	have	VERB
ejpam-2260	42	8	constant	constant	ADJ
ejpam-2260	42	9	speed	speed	NOUN
ejpam-2260	42	10	,	,	PUNCT
ejpam-2260	42	11	f(γ̇(t	f(γ̇(t	PROPN
ejpam-2260	42	12	)	)	PUNCT
ejpam-2260	42	13	)	)	PUNCT
ejpam-2260	43	1	=	=	PUNCT
ejpam-2260	43	2	f(γ̇(0	f(γ̇(0	NOUN
ejpam-2260	43	3	)	)	PUNCT
ejpam-2260	43	4	)	)	PUNCT
ejpam-2260	44	1	=	=	SYM
ejpam-2260	44	2	f(v	f(v	NOUN
ejpam-2260	44	3	)	)	PUNCT
ejpam-2260	44	4	(	(	PUNCT
ejpam-2260	44	5	t	t	NOUN
ejpam-2260	44	6	∈	∈	PROPN
ejpam-2260	44	7	r	r	NOUN
ejpam-2260	44	8	)	)	PUNCT
ejpam-2260	44	9	.	.	PUNCT
ejpam-2260	45	1	(	(	PUNCT
ejpam-2260	45	2	1	1	X
ejpam-2260	45	3	)	)	PUNCT
ejpam-2260	45	4	also	also	ADV
ejpam-2260	45	5	,	,	PUNCT
ejpam-2260	45	6	the	the	DET
ejpam-2260	45	7	left	left	ADJ
ejpam-2260	45	8	invariance	invariance	NOUN
ejpam-2260	45	9	of	of	ADP
ejpam-2260	45	10	f	f	PROPN
ejpam-2260	45	11	and	and	CCONJ
ejpam-2260	45	12	x	x	ADJ
ejpam-2260	45	13	yield	yield	VERB
ejpam-2260	45	14	f(x	f(x	PROPN
ejpam-2260	45	15	(	(	PUNCT
ejpam-2260	45	16	g	g	NOUN
ejpam-2260	45	17	)	)	PUNCT
ejpam-2260	45	18	)	)	PUNCT
ejpam-2260	46	1	=	=	PUNCT
ejpam-2260	46	2	f	f	X
ejpam-2260	46	3	�	�	PROPN
ejpam-2260	46	4	x	x	SYM
ejpam-2260	46	5	(	(	PUNCT
ejpam-2260	46	6	λg(e	λg(e	NOUN
ejpam-2260	46	7	)	)	PUNCT
ejpam-2260	46	8	)	)	PUNCT
ejpam-2260	46	9	�	�	PROPN
ejpam-2260	46	10	=	=	SYM
ejpam-2260	46	11	f	f	PROPN
ejpam-2260	46	12	�	�	PROPN
ejpam-2260	46	13	(	(	PUNCT
ejpam-2260	46	14	λg)∗(x	λg)∗(x	X
ejpam-2260	46	15	(	(	PUNCT
ejpam-2260	46	16	e	e	NOUN
ejpam-2260	46	17	)	)	PUNCT
ejpam-2260	46	18	)	)	PUNCT
ejpam-2260	46	19	�	�	PROPN
ejpam-2260	46	20	=	=	SYM
ejpam-2260	46	21	f(v	f(v	PROPN
ejpam-2260	46	22	)	)	PUNCT
ejpam-2260	46	23	,	,	PUNCT
ejpam-2260	46	24	for	for	ADP
ejpam-2260	46	25	any	any	DET
ejpam-2260	46	26	g	g	PROPN
ejpam-2260	46	27	∈	∈	PROPN
ejpam-2260	46	28	g.	g.	NOUN
ejpam-2260	46	29	(	(	PUNCT
ejpam-2260	46	30	2	2	NUM
ejpam-2260	46	31	)	)	PUNCT
ejpam-2260	46	32	secondly	secondly	ADV
ejpam-2260	46	33	,	,	PUNCT
ejpam-2260	46	34	x	x	PUNCT
ejpam-2260	46	35	is	be	AUX
ejpam-2260	46	36	a	a	DET
ejpam-2260	46	37	killing	kill	VERB
ejpam-2260	46	38	vector	vector	NOUN
ejpam-2260	46	39	field	field	NOUN
ejpam-2260	46	40	.	.	PUNCT
ejpam-2260	47	1	indeed	indeed	ADV
ejpam-2260	47	2	,	,	PUNCT
ejpam-2260	47	3	as	as	SCONJ
ejpam-2260	47	4	x	x	PRON
ejpam-2260	47	5	is	be	AUX
ejpam-2260	47	6	left	leave	VERB
ejpam-2260	47	7	invariant	invariant	ADJ
ejpam-2260	47	8	,	,	PUNCT
ejpam-2260	47	9	the	the	DET
ejpam-2260	47	10	stages	stage	NOUN
ejpam-2260	47	11	ϕt	ϕt	ADV
ejpam-2260	47	12	of	of	ADP
ejpam-2260	47	13	the	the	DET
ejpam-2260	47	14	(	(	PUNCT
ejpam-2260	47	15	global	global	ADJ
ejpam-2260	47	16	)	)	PUNCT
ejpam-2260	47	17	flow	flow	NOUN
ejpam-2260	47	18	ϕ	ϕ	PROPN
ejpam-2260	47	19	of	of	ADP
ejpam-2260	47	20	x	x	PUNCT
ejpam-2260	47	21	have	have	AUX
ejpam-2260	47	22	the	the	DET
ejpam-2260	47	23	form	form	NOUN
ejpam-2260	47	24	ϕt	ϕt	ADV
ejpam-2260	47	25	:	:	PUNCT
ejpam-2260	47	26	g→	g→	NOUN
ejpam-2260	47	27	g	g	NOUN
ejpam-2260	47	28	,	,	PUNCT
ejpam-2260	47	29	g	g	PROPN
ejpam-2260	47	30	7→	7→	NUM
ejpam-2260	47	31	ϕt(g	ϕt(g	NUM
ejpam-2260	47	32	)	)	PUNCT
ejpam-2260	47	33	:	:	PUNCT
ejpam-2260	48	1	=	=	SYM
ejpam-2260	48	2	ϕ(t	ϕ(t	NUM
ejpam-2260	48	3	,	,	PUNCT
ejpam-2260	48	4	g	g	NOUN
ejpam-2260	48	5	)	)	PUNCT
ejpam-2260	48	6	=	=	SYM
ejpam-2260	48	7	g	g	PROPN
ejpam-2260	48	8	·	·	SYM
ejpam-2260	48	9	α(t	α(t	X
ejpam-2260	48	10	)	)	PUNCT
ejpam-2260	48	11	=	=	SYM
ejpam-2260	48	12	ρα(t)(g	ρα(t)(g	PROPN
ejpam-2260	48	13	)	)	PUNCT
ejpam-2260	48	14	,	,	PUNCT
ejpam-2260	48	15	(	(	PUNCT
ejpam-2260	48	16	t	t	NOUN
ejpam-2260	48	17	∈	∈	PROPN
ejpam-2260	48	18	r	r	X
ejpam-2260	48	19	)	)	PUNCT
ejpam-2260	48	20	(	(	PUNCT
ejpam-2260	48	21	see	see	VERB
ejpam-2260	48	22	[	[	X
ejpam-2260	48	23	7	7	NUM
ejpam-2260	48	24	,	,	PUNCT
ejpam-2260	48	25	lemma	lemma	PROPN
ejpam-2260	48	26	9.2.4	9.2.4	NUM
ejpam-2260	48	27	]	]	PUNCT
ejpam-2260	48	28	)	)	PUNCT
ejpam-2260	48	29	.	.	PUNCT
ejpam-2260	49	1	it	it	PRON
ejpam-2260	49	2	follows	follow	VERB
ejpam-2260	49	3	from	from	ADP
ejpam-2260	49	4	the	the	DET
ejpam-2260	49	5	right	right	ADJ
ejpam-2260	49	6	invariance	invariance	NOUN
ejpam-2260	49	7	of	of	ADP
ejpam-2260	49	8	f	f	PROPN
ejpam-2260	49	9	that	that	SCONJ
ejpam-2260	49	10	these	these	DET
ejpam-2260	49	11	mappings	mapping	NOUN
ejpam-2260	49	12	are	be	AUX
ejpam-2260	49	13	isometries	isometry	NOUN
ejpam-2260	49	14	of	of	ADP
ejpam-2260	49	15	the	the	DET
ejpam-2260	49	16	finsler	finsler	NOUN
ejpam-2260	49	17	manifold	manifold	NOUN
ejpam-2260	49	18	:	:	PUNCT
ejpam-2260	49	19	f	f	X
ejpam-2260	49	20	◦	◦	NOUN
ejpam-2260	49	21	(	(	PUNCT
ejpam-2260	49	22	ϕt)∗	ϕt)∗	PROPN
ejpam-2260	49	23	=	=	SYM
ejpam-2260	49	24	f	f	PROPN
ejpam-2260	49	25	◦	◦	NOUN
ejpam-2260	49	26	(	(	PUNCT
ejpam-2260	49	27	ρα(t))∗	ρα(t))∗	PROPN
ejpam-2260	49	28	=	=	PROPN
ejpam-2260	49	29	f.	f.	PROPN
ejpam-2260	49	30	(	(	PUNCT
ejpam-2260	49	31	3	3	NUM
ejpam-2260	49	32	)	)	PUNCT
ejpam-2260	49	33	b.	b.	PROPN
ejpam-2260	49	34	aradi	aradi	PROPN
ejpam-2260	49	35	/	/	SYM
ejpam-2260	49	36	eur	eur	PROPN
ejpam-2260	49	37	.	.	PUNCT
ejpam-2260	50	1	j.	j.	PROPN
ejpam-2260	50	2	pure	pure	PROPN
ejpam-2260	50	3	appl	appl	PROPN
ejpam-2260	50	4	.	.	PROPN
ejpam-2260	50	5	math	math	PROPN
ejpam-2260	50	6	,	,	PUNCT
ejpam-2260	50	7	8	8	NUM
ejpam-2260	50	8	(	(	PUNCT
ejpam-2260	50	9	2015	2015	NUM
ejpam-2260	50	10	)	)	PUNCT
ejpam-2260	50	11	,	,	PUNCT
ejpam-2260	50	12	118	118	NUM
ejpam-2260	50	13	-	-	SYM
ejpam-2260	50	14	125	125	NUM
ejpam-2260	50	15	120	120	NUM
ejpam-2260	50	16	by	by	ADP
ejpam-2260	50	17	proposition	proposition	NOUN
ejpam-2260	50	18	5.2	5.2	NUM
ejpam-2260	50	19	in	in	ADP
ejpam-2260	50	20	[	[	PUNCT
ejpam-2260	50	21	9	9	NUM
ejpam-2260	50	22	]	]	X
ejpam-2260	50	23	equation	equation	NOUN
ejpam-2260	50	24	(	(	PUNCT
ejpam-2260	50	25	3	3	X
ejpam-2260	50	26	)	)	PUNCT
ejpam-2260	50	27	means	mean	VERB
ejpam-2260	50	28	that	that	SCONJ
ejpam-2260	50	29	x	x	PRON
ejpam-2260	50	30	is	be	AUX
ejpam-2260	50	31	a	a	DET
ejpam-2260	50	32	killing	kill	VERB
ejpam-2260	50	33	vector	vector	NOUN
ejpam-2260	50	34	field	field	NOUN
ejpam-2260	50	35	.	.	PUNCT
ejpam-2260	51	1	however	however	ADV
ejpam-2260	51	2	,	,	PUNCT
ejpam-2260	51	3	proposition	proposition	NOUN
ejpam-2260	51	4	7.2	7.2	NUM
ejpam-2260	51	5	of	of	ADP
ejpam-2260	51	6	the	the	DET
ejpam-2260	51	7	cited	cite	VERB
ejpam-2260	51	8	paper	paper	NOUN
ejpam-2260	51	9	implies	imply	VERB
ejpam-2260	51	10	that	that	SCONJ
ejpam-2260	51	11	for	for	ADP
ejpam-2260	51	12	a	a	DET
ejpam-2260	51	13	killing	kill	VERB
ejpam-2260	51	14	vector	vector	NOUN
ejpam-2260	51	15	field	field	NOUN
ejpam-2260	51	16	x	x	PUNCT
ejpam-2260	51	17	and	and	CCONJ
ejpam-2260	51	18	for	for	ADP
ejpam-2260	51	19	a	a	DET
ejpam-2260	51	20	geodesic	geodesic	NOUN
ejpam-2260	51	21	γ	γ	X
ejpam-2260	51	22	the	the	DET
ejpam-2260	51	23	function	function	NOUN
ejpam-2260	51	24	t	t	NOUN
ejpam-2260	51	25	∈	∈	NOUN
ejpam-2260	51	26	r	r	NOUN
ejpam-2260	51	27	7→	7→	NUM
ejpam-2260	51	28	gγ̇(t	gγ̇(t	X
ejpam-2260	51	29	)	)	PUNCT
ejpam-2260	51	30	�	�	PROPN
ejpam-2260	51	31	γ̇(t	γ̇(t	PROPN
ejpam-2260	51	32	)	)	PUNCT
ejpam-2260	51	33	,	,	PUNCT
ejpam-2260	51	34	x	x	X
ejpam-2260	51	35	(	(	PUNCT
ejpam-2260	51	36	γ(t	γ(t	NOUN
ejpam-2260	51	37	)	)	PUNCT
ejpam-2260	51	38	)	)	PUNCT
ejpam-2260	51	39	�	�	PROPN
ejpam-2260	51	40	∈	∈	PROPN
ejpam-2260	51	41	r	r	NOUN
ejpam-2260	51	42	(	(	PUNCT
ejpam-2260	51	43	4	4	NUM
ejpam-2260	51	44	)	)	PUNCT
ejpam-2260	51	45	is	be	AUX
ejpam-2260	51	46	constant	constant	ADJ
ejpam-2260	51	47	,	,	PUNCT
ejpam-2260	51	48	where	where	SCONJ
ejpam-2260	51	49	g	g	PROPN
ejpam-2260	51	50	is	be	AUX
ejpam-2260	51	51	the	the	DET
ejpam-2260	51	52	metric	metric	ADJ
ejpam-2260	51	53	tensor	tensor	NOUN
ejpam-2260	51	54	of	of	ADP
ejpam-2260	51	55	(	(	PUNCT
ejpam-2260	51	56	g	g	PROPN
ejpam-2260	51	57	,	,	PUNCT
ejpam-2260	51	58	f	f	NOUN
ejpam-2260	51	59	)	)	PUNCT
ejpam-2260	51	60	.	.	PUNCT
ejpam-2260	52	1	by	by	ADP
ejpam-2260	52	2	combining	combine	VERB
ejpam-2260	52	3	the	the	DET
ejpam-2260	52	4	results	result	NOUN
ejpam-2260	52	5	above	above	ADP
ejpam-2260	52	6	we	we	PRON
ejpam-2260	52	7	obtain	obtain	VERB
ejpam-2260	52	8	that	that	PRON
ejpam-2260	52	9	for	for	ADP
ejpam-2260	52	10	any	any	DET
ejpam-2260	52	11	t	t	NOUN
ejpam-2260	52	12	∈	∈	NOUN
ejpam-2260	52	13	r	r	NOUN
ejpam-2260	52	14	gγ̇(t	gγ̇(t	ADJ
ejpam-2260	52	15	)	)	PUNCT
ejpam-2260	52	16	�	�	PROPN
ejpam-2260	52	17	γ̇(t	γ̇(t	PROPN
ejpam-2260	52	18	)	)	PUNCT
ejpam-2260	52	19	,	,	PUNCT
ejpam-2260	52	20	x	x	X
ejpam-2260	52	21	(	(	PUNCT
ejpam-2260	52	22	γ(t	γ(t	NOUN
ejpam-2260	52	23	)	)	PUNCT
ejpam-2260	52	24	)	)	PUNCT
ejpam-2260	52	25	�	�	PROPN
ejpam-2260	52	26	(	(	PUNCT
ejpam-2260	52	27	4	4	NUM
ejpam-2260	52	28	)	)	PUNCT
ejpam-2260	52	29	=	=	SYM
ejpam-2260	52	30	gγ̇(0	gγ̇(0	PROPN
ejpam-2260	52	31	)	)	PUNCT
ejpam-2260	52	32	�	�	PROPN
ejpam-2260	52	33	γ̇(0	γ̇(0	NUM
ejpam-2260	52	34	)	)	PUNCT
ejpam-2260	52	35	,	,	PUNCT
ejpam-2260	52	36	x	x	X
ejpam-2260	52	37	(	(	PUNCT
ejpam-2260	52	38	γ(0	γ(0	PROPN
ejpam-2260	52	39	)	)	PUNCT
ejpam-2260	52	40	)	)	PUNCT
ejpam-2260	52	41	�	�	PROPN
ejpam-2260	53	1	=	=	PRON
ejpam-2260	53	2	gv(v	gv(v	PROPN
ejpam-2260	53	3	,	,	PUNCT
ejpam-2260	53	4	v	v	NOUN
ejpam-2260	53	5	)	)	PUNCT
ejpam-2260	53	6	=	=	SYM
ejpam-2260	53	7	f2(v	f2(v	PROPN
ejpam-2260	53	8	)	)	PUNCT
ejpam-2260	53	9	(	(	PUNCT
ejpam-2260	53	10	1),(2	1),(2	NUM
ejpam-2260	53	11	)	)	PUNCT
ejpam-2260	53	12	=	=	SYM
ejpam-2260	53	13	f(x	f(x	PROPN
ejpam-2260	53	14	(	(	PUNCT
ejpam-2260	53	15	γ(t)))f(γ̇(t	γ(t)))f(γ̇(t	NOUN
ejpam-2260	53	16	)	)	PUNCT
ejpam-2260	53	17	)	)	PUNCT
ejpam-2260	53	18	.	.	PUNCT
ejpam-2260	54	1	using	use	VERB
ejpam-2260	54	2	the	the	DET
ejpam-2260	54	3	fundamental	fundamental	ADJ
ejpam-2260	54	4	inequality	inequality	NOUN
ejpam-2260	54	5	(	(	PUNCT
ejpam-2260	54	6	see	see	VERB
ejpam-2260	54	7	,	,	PUNCT
ejpam-2260	54	8	e.g.	e.g.	ADV
ejpam-2260	54	9	,	,	PUNCT
ejpam-2260	54	10	[	[	X
ejpam-2260	54	11	14	14	NUM
ejpam-2260	54	12	,	,	PUNCT
ejpam-2260	54	13	proposition	proposition	NOUN
ejpam-2260	54	14	9.1.37	9.1.37	NUM
ejpam-2260	54	15	]	]	PUNCT
ejpam-2260	54	16	)	)	PUNCT
ejpam-2260	54	17	,	,	PUNCT
ejpam-2260	54	18	we	we	PRON
ejpam-2260	54	19	conclude	conclude	VERB
ejpam-2260	54	20	that	that	SCONJ
ejpam-2260	54	21	x	x	X
ejpam-2260	54	22	(	(	PUNCT
ejpam-2260	54	23	γ(t	γ(t	NOUN
ejpam-2260	54	24	)	)	PUNCT
ejpam-2260	54	25	)	)	PUNCT
ejpam-2260	55	1	=	=	SYM
ejpam-2260	55	2	θ	θ	PROPN
ejpam-2260	55	3	(	(	PUNCT
ejpam-2260	55	4	t)γ̇(t	t)γ̇(t	PROPN
ejpam-2260	55	5	)	)	PUNCT
ejpam-2260	55	6	,	,	PUNCT
ejpam-2260	55	7	for	for	ADP
ejpam-2260	55	8	some	some	DET
ejpam-2260	55	9	θ	θ	NOUN
ejpam-2260	55	10	(	(	PUNCT
ejpam-2260	55	11	t)≥	t)≥	PROPN
ejpam-2260	55	12	0	0	NUM
ejpam-2260	55	13	,	,	PUNCT
ejpam-2260	55	14	t	t	PROPN
ejpam-2260	55	15	∈	∈	PROPN
ejpam-2260	55	16	r.	r.	PROPN
ejpam-2260	55	17	since	since	SCONJ
ejpam-2260	55	18	we	we	PRON
ejpam-2260	55	19	already	already	ADV
ejpam-2260	55	20	have	have	VERB
ejpam-2260	55	21	f(x	f(x	PROPN
ejpam-2260	55	22	(	(	PUNCT
ejpam-2260	55	23	γ(t	γ(t	NOUN
ejpam-2260	55	24	)	)	PUNCT
ejpam-2260	55	25	)	)	PUNCT
ejpam-2260	55	26	)	)	PUNCT
ejpam-2260	55	27	(	(	PUNCT
ejpam-2260	55	28	2	2	X
ejpam-2260	55	29	)	)	PUNCT
ejpam-2260	55	30	=	=	PUNCT
ejpam-2260	55	31	f(v	f(v	NOUN
ejpam-2260	55	32	)	)	PUNCT
ejpam-2260	55	33	(	(	PUNCT
ejpam-2260	55	34	1	1	X
ejpam-2260	55	35	)	)	PUNCT
ejpam-2260	55	36	=	=	SYM
ejpam-2260	55	37	f(γ̇(t	f(γ̇(t	PROPN
ejpam-2260	55	38	)	)	PUNCT
ejpam-2260	55	39	)	)	PUNCT
ejpam-2260	55	40	,	,	PUNCT
ejpam-2260	55	41	it	it	PRON
ejpam-2260	55	42	follows	follow	VERB
ejpam-2260	55	43	that	that	SCONJ
ejpam-2260	55	44	θ	θ	PROPN
ejpam-2260	55	45	(	(	PUNCT
ejpam-2260	55	46	t	t	PROPN
ejpam-2260	55	47	)	)	PUNCT
ejpam-2260	55	48	=	=	SYM
ejpam-2260	55	49	1	1	NUM
ejpam-2260	55	50	for	for	ADP
ejpam-2260	55	51	all	all	DET
ejpam-2260	55	52	t	t	NOUN
ejpam-2260	55	53	∈	∈	NOUN
ejpam-2260	55	54	r	r	NOUN
ejpam-2260	55	55	and	and	CCONJ
ejpam-2260	55	56	hence	hence	ADV
ejpam-2260	55	57	x	x	INTJ
ejpam-2260	55	58	(	(	PUNCT
ejpam-2260	55	59	γ(t	γ(t	NOUN
ejpam-2260	55	60	)	)	PUNCT
ejpam-2260	55	61	)	)	PUNCT
ejpam-2260	56	1	=	=	PUNCT
ejpam-2260	56	2	γ̇(t	γ̇(t	ADJ
ejpam-2260	56	3	)	)	PUNCT
ejpam-2260	56	4	.	.	PUNCT
ejpam-2260	57	1	thus	thus	ADV
ejpam-2260	57	2	γ	γ	X
ejpam-2260	57	3	is	be	AUX
ejpam-2260	57	4	also	also	ADV
ejpam-2260	57	5	an	an	DET
ejpam-2260	57	6	integral	integral	ADJ
ejpam-2260	57	7	curve	curve	NOUN
ejpam-2260	57	8	of	of	ADP
ejpam-2260	57	9	x	x	PUNCT
ejpam-2260	57	10	with	with	ADP
ejpam-2260	57	11	initial	initial	ADJ
ejpam-2260	57	12	velocity	velocity	NOUN
ejpam-2260	57	13	v	v	NOUN
ejpam-2260	57	14	,	,	PUNCT
ejpam-2260	57	15	which	which	PRON
ejpam-2260	57	16	indeed	indeed	ADV
ejpam-2260	57	17	means	mean	VERB
ejpam-2260	57	18	that	that	SCONJ
ejpam-2260	57	19	the	the	DET
ejpam-2260	57	20	geodesics	geodesic	NOUN
ejpam-2260	57	21	of	of	ADP
ejpam-2260	57	22	f	f	PROPN
ejpam-2260	57	23	starting	start	VERB
ejpam-2260	57	24	at	at	ADP
ejpam-2260	57	25	e	e	PROPN
ejpam-2260	57	26	are	be	AUX
ejpam-2260	57	27	the	the	DET
ejpam-2260	57	28	one	one	NUM
ejpam-2260	57	29	-	-	PUNCT
ejpam-2260	57	30	parameter	parameter	NOUN
ejpam-2260	57	31	subgroups	subgroup	NOUN
ejpam-2260	57	32	of	of	ADP
ejpam-2260	57	33	g.	g.	PROPN
ejpam-2260	57	34	to	to	PART
ejpam-2260	57	35	show	show	VERB
ejpam-2260	57	36	that	that	SCONJ
ejpam-2260	57	37	the	the	DET
ejpam-2260	57	38	other	other	ADJ
ejpam-2260	57	39	geodesics	geodesic	NOUN
ejpam-2260	57	40	are	be	AUX
ejpam-2260	57	41	left	leave	VERB
ejpam-2260	57	42	translations	translation	NOUN
ejpam-2260	57	43	of	of	ADP
ejpam-2260	57	44	the	the	DET
ejpam-2260	57	45	one	one	NUM
ejpam-2260	57	46	-	-	PUNCT
ejpam-2260	57	47	parameter	parameter	NOUN
ejpam-2260	57	48	subgroups	subgroup	NOUN
ejpam-2260	57	49	,	,	PUNCT
ejpam-2260	57	50	choose	choose	VERB
ejpam-2260	57	51	a	a	DET
ejpam-2260	57	52	geodesic	geodesic	NOUN
ejpam-2260	57	53	eγ	eγ	ADP
ejpam-2260	57	54	of	of	ADP
ejpam-2260	57	55	f	f	PROPN
ejpam-2260	57	56	and	and	CCONJ
ejpam-2260	57	57	let	let	VERB
ejpam-2260	57	58	ėγ(0	ėγ(0	NOUN
ejpam-2260	57	59	)	)	PUNCT
ejpam-2260	57	60	=	=	PUNCT
ejpam-2260	57	61	w	w	PROPN
ejpam-2260	57	62	∈	∈	PROPN
ejpam-2260	57	63	tpg	tpg	PROPN
ejpam-2260	57	64	.	.	PUNCT
ejpam-2260	57	65	consider	consider	VERB
ejpam-2260	57	66	the	the	DET
ejpam-2260	57	67	geodesic	geodesic	ADJ
ejpam-2260	57	68	γ	γ	NOUN
ejpam-2260	57	69	starting	start	VERB
ejpam-2260	57	70	at	at	ADP
ejpam-2260	57	71	e	e	PROPN
ejpam-2260	57	72	(	(	PUNCT
ejpam-2260	57	73	thus	thus	ADV
ejpam-2260	57	74	,	,	PUNCT
ejpam-2260	57	75	a	a	DET
ejpam-2260	57	76	one	one	NUM
ejpam-2260	57	77	-	-	PUNCT
ejpam-2260	57	78	parameter	parameter	NOUN
ejpam-2260	57	79	subgroup	subgroup	NOUN
ejpam-2260	57	80	)	)	PUNCT
ejpam-2260	57	81	with	with	ADP
ejpam-2260	57	82	initial	initial	ADJ
ejpam-2260	57	83	velocity	velocity	NOUN
ejpam-2260	57	84	γ̇(0	γ̇(0	NUM
ejpam-2260	57	85	)	)	PUNCT
ejpam-2260	58	1	=	=	PUNCT
ejpam-2260	58	2	(	(	PUNCT
ejpam-2260	58	3	λp−1)∗(w	λp−1)∗(w	NOUN
ejpam-2260	58	4	)	)	PUNCT
ejpam-2260	58	5	∈	∈	PROPN
ejpam-2260	58	6	teg	teg	PROPN
ejpam-2260	58	7	.	.	PUNCT
ejpam-2260	59	1	then	then	ADV
ejpam-2260	59	2	,	,	PUNCT
ejpam-2260	59	3	since	since	SCONJ
ejpam-2260	59	4	left	leave	VERB
ejpam-2260	59	5	translations	translation	NOUN
ejpam-2260	59	6	are	be	AUX
ejpam-2260	59	7	isometries	isometry	NOUN
ejpam-2260	59	8	,	,	PUNCT
ejpam-2260	59	9	λp	λp	ADP
ejpam-2260	59	10	◦	◦	NOUN
ejpam-2260	59	11	γ	γ	X
ejpam-2260	59	12	is	be	AUX
ejpam-2260	59	13	a	a	DET
ejpam-2260	59	14	geodesic	geodesic	NOUN
ejpam-2260	59	15	as	as	ADV
ejpam-2260	59	16	well	well	ADV
ejpam-2260	59	17	such	such	ADJ
ejpam-2260	59	18	that	that	SCONJ
ejpam-2260	59	19	λp	λp	ADP
ejpam-2260	59	20	◦	◦	NOUN
ejpam-2260	59	21	γ(0	γ(0	PROPN
ejpam-2260	59	22	)	)	PUNCT
ejpam-2260	60	1	=	=	SYM
ejpam-2260	60	2	p	p	NOUN
ejpam-2260	60	3	and	and	CCONJ
ejpam-2260	60	4	˙	˙	NOUN
ejpam-2260	60	5	λp	λp	ADP
ejpam-2260	60	6	◦	◦	NOUN
ejpam-2260	60	7	γ(0	γ(0	PROPN
ejpam-2260	60	8	)	)	PUNCT
ejpam-2260	60	9	=	=	PUNCT
ejpam-2260	60	10	(	(	PUNCT
ejpam-2260	60	11	λp)∗(γ̇(0	λp)∗(γ̇(0	NOUN
ejpam-2260	60	12	)	)	PUNCT
ejpam-2260	60	13	)	)	PUNCT
ejpam-2260	61	1	=	=	PUNCT
ejpam-2260	61	2	w	w	NOUN
ejpam-2260	61	3	,	,	PUNCT
ejpam-2260	61	4	which	which	PRON
ejpam-2260	61	5	imply	imply	VERB
ejpam-2260	61	6	eγ=	eγ=	NOUN
ejpam-2260	61	7	λp	λp	ADP
ejpam-2260	61	8	◦	◦	PROPN
ejpam-2260	61	9	γ	γ	PROPN
ejpam-2260	61	10	.	.	PROPN
ejpam-2260	61	11	remark	remark	PROPN
ejpam-2260	61	12	1	1	NUM
ejpam-2260	61	13	.	.	PUNCT
ejpam-2260	62	1	the	the	DET
ejpam-2260	62	2	riemannian	riemannian	ADJ
ejpam-2260	62	3	analogue	analogue	NOUN
ejpam-2260	62	4	of	of	ADP
ejpam-2260	62	5	lemma	lemma	PROPN
ejpam-2260	62	6	1	1	NUM
ejpam-2260	62	7	is	be	AUX
ejpam-2260	62	8	well	well	ADV
ejpam-2260	62	9	known	know	VERB
ejpam-2260	62	10	,	,	PUNCT
ejpam-2260	62	11	see	see	VERB
ejpam-2260	62	12	,	,	PUNCT
ejpam-2260	62	13	e.g.	e.g.	ADV
ejpam-2260	62	14	,	,	PUNCT
ejpam-2260	62	15	[	[	X
ejpam-2260	62	16	10	10	NUM
ejpam-2260	62	17	]	]	PUNCT
ejpam-2260	62	18	,	,	PUNCT
ejpam-2260	62	19	proposition	proposition	NOUN
ejpam-2260	62	20	9	9	NUM
ejpam-2260	62	21	in	in	ADP
ejpam-2260	62	22	chapter	chapter	NOUN
ejpam-2260	62	23	11	11	NUM
ejpam-2260	62	24	.	.	PUNCT
ejpam-2260	63	1	proposition	proposition	NOUN
ejpam-2260	63	2	1	1	NUM
ejpam-2260	63	3	(	(	PUNCT
ejpam-2260	63	4	latifi	latifi	PROPN
ejpam-2260	63	5	–	–	PUNCT
ejpam-2260	63	6	razavi	razavi	VERB
ejpam-2260	63	7	[	[	X
ejpam-2260	63	8	8	8	NUM
ejpam-2260	63	9	]	]	PUNCT
ejpam-2260	63	10	)	)	PUNCT
ejpam-2260	63	11	.	.	PUNCT
ejpam-2260	64	1	if	if	SCONJ
ejpam-2260	64	2	f	f	PROPN
ejpam-2260	64	3	is	be	AUX
ejpam-2260	64	4	a	a	DET
ejpam-2260	64	5	bi	bi	ADJ
ejpam-2260	64	6	-	-	ADJ
ejpam-2260	64	7	invariant	invariant	ADJ
ejpam-2260	64	8	finsler	finsler	NOUN
ejpam-2260	64	9	function	function	NOUN
ejpam-2260	64	10	on	on	ADP
ejpam-2260	64	11	a	a	DET
ejpam-2260	64	12	lie	lie	NOUN
ejpam-2260	64	13	group	group	NOUN
ejpam-2260	64	14	g	g	PROPN
ejpam-2260	64	15	,	,	PUNCT
ejpam-2260	64	16	then	then	ADV
ejpam-2260	64	17	(	(	PUNCT
ejpam-2260	64	18	g	g	NOUN
ejpam-2260	64	19	,	,	PUNCT
ejpam-2260	64	20	f	f	X
ejpam-2260	64	21	)	)	PUNCT
ejpam-2260	64	22	is	be	AUX
ejpam-2260	64	23	a	a	DET
ejpam-2260	64	24	berwald	berwald	NOUN
ejpam-2260	64	25	manifold	manifold	ADJ
ejpam-2260	64	26	.	.	PUNCT
ejpam-2260	65	1	proof	proof	NOUN
ejpam-2260	65	2	.	.	PUNCT
ejpam-2260	66	1	it	it	PRON
ejpam-2260	66	2	has	have	AUX
ejpam-2260	66	3	been	be	AUX
ejpam-2260	66	4	shown	show	VERB
ejpam-2260	66	5	in	in	ADP
ejpam-2260	66	6	[	[	X
ejpam-2260	66	7	5	5	NUM
ejpam-2260	66	8	]	]	PUNCT
ejpam-2260	66	9	(	(	PUNCT
ejpam-2260	66	10	theorem	theorem	VERB
ejpam-2260	66	11	1.4	1.4	NUM
ejpam-2260	66	12	)	)	PUNCT
ejpam-2260	66	13	,	,	PUNCT
ejpam-2260	66	14	that	that	SCONJ
ejpam-2260	66	15	there	there	PRON
ejpam-2260	66	16	exists	exist	VERB
ejpam-2260	66	17	a	a	DET
ejpam-2260	66	18	bi	bi	ADJ
ejpam-2260	66	19	-	-	ADJ
ejpam-2260	66	20	invariant	invariant	ADJ
ejpam-2260	66	21	riemannian	riemannian	ADJ
ejpam-2260	66	22	metric	metric	PROPN
ejpam-2260	66	23	bg	bg	PROPN
ejpam-2260	66	24	on	on	ADP
ejpam-2260	66	25	g	g	PROPN
ejpam-2260	66	26	as	as	ADV
ejpam-2260	66	27	well	well	ADV
ejpam-2260	66	28	,	,	PUNCT
ejpam-2260	66	29	and	and	CCONJ
ejpam-2260	66	30	we	we	PRON
ejpam-2260	66	31	know	know	VERB
ejpam-2260	66	32	from	from	ADP
ejpam-2260	66	33	[	[	X
ejpam-2260	66	34	10	10	NUM
ejpam-2260	66	35	]	]	PUNCT
ejpam-2260	66	36	(	(	PUNCT
ejpam-2260	66	37	or	or	CCONJ
ejpam-2260	66	38	we	we	PRON
ejpam-2260	66	39	obtain	obtain	VERB
ejpam-2260	66	40	as	as	ADP
ejpam-2260	66	41	a	a	DET
ejpam-2260	66	42	special	special	ADJ
ejpam-2260	66	43	case	case	NOUN
ejpam-2260	66	44	of	of	ADP
ejpam-2260	66	45	lemma	lemma	PROPN
ejpam-2260	66	46	1	1	NUM
ejpam-2260	66	47	)	)	PUNCT
ejpam-2260	66	48	,	,	PUNCT
ejpam-2260	66	49	that	that	SCONJ
ejpam-2260	66	50	the	the	DET
ejpam-2260	66	51	geodesics	geodesic	NOUN
ejpam-2260	66	52	of	of	ADP
ejpam-2260	66	53	a	a	DET
ejpam-2260	66	54	bi	bi	ADJ
ejpam-2260	66	55	-	-	ADJ
ejpam-2260	66	56	invariant	invariant	ADJ
ejpam-2260	66	57	riemannian	riemannian	ADJ
ejpam-2260	66	58	metric	metric	NOUN
ejpam-2260	66	59	starting	start	VERB
ejpam-2260	66	60	at	at	ADP
ejpam-2260	66	61	e	e	PROPN
ejpam-2260	66	62	are	be	AUX
ejpam-2260	66	63	the	the	DET
ejpam-2260	66	64	one	one	NUM
ejpam-2260	66	65	-	-	PUNCT
ejpam-2260	66	66	parameter	parameter	NOUN
ejpam-2260	66	67	subgroups	subgroup	NOUN
ejpam-2260	66	68	of	of	ADP
ejpam-2260	66	69	g.	g.	PROPN
ejpam-2260	66	70	however	however	ADV
ejpam-2260	66	71	,	,	PUNCT
ejpam-2260	66	72	it	it	PRON
ejpam-2260	66	73	follows	follow	VERB
ejpam-2260	66	74	from	from	ADP
ejpam-2260	66	75	lemma	lemma	PROPN
ejpam-2260	66	76	1	1	NUM
ejpam-2260	66	77	as	as	ADV
ejpam-2260	66	78	well	well	ADV
ejpam-2260	66	79	,	,	PUNCT
ejpam-2260	66	80	that	that	SCONJ
ejpam-2260	66	81	the	the	DET
ejpam-2260	66	82	geodesics	geodesic	NOUN
ejpam-2260	66	83	of	of	ADP
ejpam-2260	66	84	the	the	DET
ejpam-2260	66	85	finsler	finsler	NOUN
ejpam-2260	66	86	manifold	manifold	NOUN
ejpam-2260	66	87	(	(	PUNCT
ejpam-2260	66	88	g	g	NOUN
ejpam-2260	66	89	,	,	PUNCT
ejpam-2260	66	90	f	f	NOUN
ejpam-2260	66	91	)	)	PUNCT
ejpam-2260	66	92	starting	start	VERB
ejpam-2260	66	93	at	at	ADP
ejpam-2260	66	94	the	the	DET
ejpam-2260	66	95	identity	identity	NOUN
ejpam-2260	66	96	element	element	NOUN
ejpam-2260	66	97	are	be	AUX
ejpam-2260	66	98	also	also	ADV
ejpam-2260	66	99	the	the	DET
ejpam-2260	66	100	one	one	NUM
ejpam-2260	66	101	-	-	PUNCT
ejpam-2260	66	102	parameter	parameter	NOUN
ejpam-2260	66	103	subgroups	subgroup	NOUN
ejpam-2260	66	104	of	of	ADP
ejpam-2260	66	105	the	the	DET
ejpam-2260	66	106	lie	lie	NOUN
ejpam-2260	66	107	group	group	NOUN
ejpam-2260	66	108	,	,	PUNCT
ejpam-2260	66	109	hence	hence	ADV
ejpam-2260	66	110	(	(	PUNCT
ejpam-2260	66	111	g	g	PROPN
ejpam-2260	66	112	,	,	PUNCT
ejpam-2260	66	113	f	f	PROPN
ejpam-2260	66	114	)	)	PUNCT
ejpam-2260	66	115	and	and	CCONJ
ejpam-2260	66	116	the	the	DET
ejpam-2260	66	117	riemannian	riemannian	ADJ
ejpam-2260	66	118	manifold	manifold	NOUN
ejpam-2260	66	119	(	(	PUNCT
ejpam-2260	66	120	g	g	PROPN
ejpam-2260	66	121	,	,	PUNCT
ejpam-2260	66	122	bg	bg	PROPN
ejpam-2260	66	123	)	)	PUNCT
ejpam-2260	66	124	have	have	VERB
ejpam-2260	66	125	the	the	DET
ejpam-2260	66	126	same	same	ADJ
ejpam-2260	66	127	geodesics	geodesic	NOUN
ejpam-2260	66	128	.	.	PUNCT
ejpam-2260	67	1	then	then	ADV
ejpam-2260	67	2	proposition	proposition	VERB
ejpam-2260	67	3	7	7	NUM
ejpam-2260	67	4	of	of	ADP
ejpam-2260	67	5	[	[	X
ejpam-2260	67	6	13	13	NUM
ejpam-2260	67	7	]	]	PUNCT
ejpam-2260	67	8	(	(	PUNCT
ejpam-2260	67	9	see	see	VERB
ejpam-2260	67	10	condition	condition	NOUN
ejpam-2260	67	11	(	(	PUNCT
ejpam-2260	67	12	b9	b9	PROPN
ejpam-2260	67	13	)	)	PUNCT
ejpam-2260	67	14	in	in	ADP
ejpam-2260	67	15	the	the	DET
ejpam-2260	67	16	cited	cite	VERB
ejpam-2260	67	17	paper	paper	NOUN
ejpam-2260	67	18	)	)	PUNCT
ejpam-2260	67	19	assures	assure	VERB
ejpam-2260	67	20	that	that	PRON
ejpam-2260	67	21	(	(	PUNCT
ejpam-2260	67	22	g	g	NOUN
ejpam-2260	67	23	,	,	PUNCT
ejpam-2260	67	24	f	f	X
ejpam-2260	67	25	)	)	PUNCT
ejpam-2260	67	26	is	be	AUX
ejpam-2260	67	27	a	a	DET
ejpam-2260	67	28	berwald	berwald	NOUN
ejpam-2260	67	29	manifold	manifold	ADJ
ejpam-2260	67	30	.	.	PUNCT
ejpam-2260	68	1	the	the	DET
ejpam-2260	68	2	key	key	ADJ
ejpam-2260	68	3	step	step	NOUN
ejpam-2260	68	4	in	in	ADP
ejpam-2260	68	5	the	the	DET
ejpam-2260	68	6	previous	previous	ADJ
ejpam-2260	68	7	proof	proof	NOUN
ejpam-2260	68	8	is	be	AUX
ejpam-2260	68	9	the	the	DET
ejpam-2260	68	10	existence	existence	NOUN
ejpam-2260	68	11	of	of	ADP
ejpam-2260	68	12	a	a	DET
ejpam-2260	68	13	bi	bi	ADJ
ejpam-2260	68	14	-	-	ADJ
ejpam-2260	68	15	invariant	invariant	ADJ
ejpam-2260	68	16	riemannian	riemannian	ADJ
ejpam-2260	68	17	metric	metric	PROPN
ejpam-2260	68	18	bg	bg	PROPN
ejpam-2260	68	19	on	on	ADP
ejpam-2260	68	20	g.	g.	PROPN
ejpam-2260	68	21	below	below	ADP
ejpam-2260	68	22	we	we	PRON
ejpam-2260	68	23	indicate	indicate	VERB
ejpam-2260	68	24	an	an	DET
ejpam-2260	68	25	explicit	explicit	ADJ
ejpam-2260	68	26	way	way	NOUN
ejpam-2260	68	27	of	of	ADP
ejpam-2260	68	28	constructing	construct	VERB
ejpam-2260	68	29	such	such	DET
ejpam-2260	68	30	a	a	DET
ejpam-2260	68	31	riemannian	riemannian	ADJ
ejpam-2260	68	32	metric	metric	NOUN
ejpam-2260	68	33	on	on	ADP
ejpam-2260	68	34	g	g	NOUN
ejpam-2260	68	35	from	from	ADP
ejpam-2260	68	36	a	a	DET
ejpam-2260	68	37	given	give	VERB
ejpam-2260	68	38	finsler	finsler	NOUN
ejpam-2260	68	39	function	function	NOUN
ejpam-2260	68	40	f	f	PROPN
ejpam-2260	68	41	.	.	PUNCT
ejpam-2260	69	1	b.	b.	PROPN
ejpam-2260	69	2	aradi	aradi	PROPN
ejpam-2260	69	3	/	/	SYM
ejpam-2260	69	4	eur	eur	PROPN
ejpam-2260	69	5	.	.	PUNCT
ejpam-2260	70	1	j.	j.	PROPN
ejpam-2260	70	2	pure	pure	PROPN
ejpam-2260	70	3	appl	appl	PROPN
ejpam-2260	70	4	.	.	PROPN
ejpam-2260	70	5	math	math	PROPN
ejpam-2260	70	6	,	,	PUNCT
ejpam-2260	70	7	8	8	NUM
ejpam-2260	70	8	(	(	PUNCT
ejpam-2260	70	9	2015	2015	NUM
ejpam-2260	70	10	)	)	PUNCT
ejpam-2260	70	11	,	,	PUNCT
ejpam-2260	70	12	118	118	NUM
ejpam-2260	70	13	-	-	SYM
ejpam-2260	70	14	125	125	NUM
ejpam-2260	70	15	121	121	NUM
ejpam-2260	70	16	lemma	lemma	PROPN
ejpam-2260	70	17	2	2	NUM
ejpam-2260	70	18	.	.	PUNCT
ejpam-2260	70	19	suppose	suppose	VERB
ejpam-2260	70	20	that	that	SCONJ
ejpam-2260	70	21	a	a	DET
ejpam-2260	70	22	lie	lie	NOUN
ejpam-2260	70	23	group	group	NOUN
ejpam-2260	70	24	g	g	PROPN
ejpam-2260	70	25	admits	admit	VERB
ejpam-2260	70	26	a	a	DET
ejpam-2260	70	27	bi	bi	ADJ
ejpam-2260	70	28	-	-	ADJ
ejpam-2260	70	29	invariant	invariant	ADJ
ejpam-2260	70	30	finsler	finsler	NOUN
ejpam-2260	70	31	function	function	PROPN
ejpam-2260	70	32	f.	f.	PROPN
ejpam-2260	70	33	then	then	ADV
ejpam-2260	70	34	g	g	PROPN
ejpam-2260	70	35	admits	admit	VERB
ejpam-2260	70	36	a	a	DET
ejpam-2260	70	37	bi	bi	ADJ
ejpam-2260	70	38	-	-	ADJ
ejpam-2260	70	39	invariant	invariant	ADJ
ejpam-2260	70	40	riemannian	riemannian	ADJ
ejpam-2260	70	41	metric	metric	PROPN
ejpam-2260	70	42	bg	bg	PROPN
ejpam-2260	70	43	as	as	ADV
ejpam-2260	70	44	well	well	ADV
ejpam-2260	70	45	,	,	PUNCT
ejpam-2260	70	46	given	give	VERB
ejpam-2260	70	47	by	by	ADP
ejpam-2260	70	48	bgp(v	bgp(v	PROPN
ejpam-2260	70	49	,	,	PUNCT
ejpam-2260	70	50	w	w	NOUN
ejpam-2260	70	51	)	)	PUNCT
ejpam-2260	70	52	:	:	PUNCT
ejpam-2260	71	1	=	=	SYM
ejpam-2260	71	2	∫	∫	PROPN
ejpam-2260	71	3	sp	sp	ADP
ejpam-2260	71	4	(	(	PUNCT
ejpam-2260	71	5	u	u	PROPN
ejpam-2260	71	6	7→	7→	PROPN
ejpam-2260	71	7	(	(	PUNCT
ejpam-2260	71	8	ep	ep	PROPN
ejpam-2260	71	9	)	)	PUNCT
ejpam-2260	71	10	′′(u)(v	′′(u)(v	PROPN
ejpam-2260	71	11	,	,	PUNCT
ejpam-2260	71	12	w))ωp	w))ωp	PROPN
ejpam-2260	71	13	,	,	PUNCT
ejpam-2260	71	14	where	where	SCONJ
ejpam-2260	71	15	p	p	PROPN
ejpam-2260	71	16	∈	∈	PROPN
ejpam-2260	71	17	g	g	PROPN
ejpam-2260	71	18	,	,	PUNCT
ejpam-2260	71	19	v	v	NOUN
ejpam-2260	71	20	,	,	PUNCT
ejpam-2260	71	21	w	w	PROPN
ejpam-2260	71	22	∈	∈	PROPN
ejpam-2260	71	23	tpg	tpg	NOUN
ejpam-2260	71	24	;	;	PUNCT
ejpam-2260	71	25	ep	ep	PROPN
ejpam-2260	71	26	is	be	AUX
ejpam-2260	71	27	the	the	DET
ejpam-2260	71	28	energy	energy	NOUN
ejpam-2260	71	29	function	function	NOUN
ejpam-2260	71	30	associated	associate	VERB
ejpam-2260	71	31	to	to	ADP
ejpam-2260	71	32	fp	fp	X
ejpam-2260	71	33	:	:	PUNCT
ejpam-2260	71	34	=	=	SYM
ejpam-2260	71	35	f	f	X
ejpam-2260	71	36	↾	↾	X
ejpam-2260	71	37	tpg	tpg	NOUN
ejpam-2260	71	38	;	;	PUNCT
ejpam-2260	71	39	sp	sp	ADP
ejpam-2260	71	40	⊂	⊂	PROPN
ejpam-2260	71	41	tpg	tpg	PROPN
ejpam-2260	71	42	is	be	AUX
ejpam-2260	71	43	the	the	DET
ejpam-2260	71	44	unit	unit	NOUN
ejpam-2260	71	45	sphere	sphere	ADV
ejpam-2260	71	46	determined	determine	VERB
ejpam-2260	71	47	by	by	ADP
ejpam-2260	71	48	fp	fp	NOUN
ejpam-2260	71	49	;	;	PUNCT
ejpam-2260	71	50	ωp	ωp	NUM
ejpam-2260	71	51	is	be	AUX
ejpam-2260	71	52	the	the	DET
ejpam-2260	71	53	unique	unique	ADJ
ejpam-2260	71	54	volume	volume	NOUN
ejpam-2260	71	55	form	form	NOUN
ejpam-2260	71	56	on	on	ADP
ejpam-2260	71	57	sp	sp	ADP
ejpam-2260	71	58	such	such	ADJ
ejpam-2260	71	59	that	that	DET
ejpam-2260	71	60	∫	∫	PROPN
ejpam-2260	71	61	sp	sp	ADP
ejpam-2260	71	62	ωp	ωp	NOUN
ejpam-2260	71	63	=	=	SYM
ejpam-2260	71	64	1	1	X
ejpam-2260	71	65	.	.	PUNCT
ejpam-2260	71	66	sketch	sketch	NOUN
ejpam-2260	71	67	of	of	ADP
ejpam-2260	71	68	proof	proof	NOUN
ejpam-2260	71	69	.	.	PUNCT
ejpam-2260	72	1	to	to	PART
ejpam-2260	72	2	see	see	VERB
ejpam-2260	72	3	that	that	SCONJ
ejpam-2260	72	4	bg	bg	PROPN
ejpam-2260	72	5	is	be	AUX
ejpam-2260	72	6	indeed	indeed	ADV
ejpam-2260	72	7	a	a	DET
ejpam-2260	72	8	riemannian	riemannian	ADJ
ejpam-2260	72	9	metric	metric	NOUN
ejpam-2260	72	10	on	on	ADP
ejpam-2260	72	11	g	g	PROPN
ejpam-2260	72	12	we	we	PRON
ejpam-2260	72	13	refer	refer	VERB
ejpam-2260	72	14	to	to	ADP
ejpam-2260	72	15	[	[	X
ejpam-2260	72	16	13	13	NUM
ejpam-2260	72	17	,	,	PUNCT
ejpam-2260	72	18	proposition	proposition	NOUN
ejpam-2260	72	19	17	17	NUM
ejpam-2260	72	20	]	]	PUNCT
ejpam-2260	72	21	.	.	PUNCT
ejpam-2260	73	1	the	the	DET
ejpam-2260	73	2	fact	fact	NOUN
ejpam-2260	73	3	that	that	SCONJ
ejpam-2260	73	4	this	this	DET
ejpam-2260	73	5	metric	metric	NOUN
ejpam-2260	73	6	is	be	AUX
ejpam-2260	73	7	bi	bi	ADJ
ejpam-2260	73	8	-	-	ADJ
ejpam-2260	73	9	invariant	invariant	ADJ
ejpam-2260	73	10	follows	follow	VERB
ejpam-2260	73	11	from	from	ADP
ejpam-2260	73	12	proposition	proposition	NOUN
ejpam-2260	73	13	9.1.53	9.1.53	NUM
ejpam-2260	73	14	of	of	ADP
ejpam-2260	73	15	[	[	X
ejpam-2260	73	16	14	14	NUM
ejpam-2260	73	17	]	]	PUNCT
ejpam-2260	73	18	,	,	PUNCT
ejpam-2260	73	19	since	since	SCONJ
ejpam-2260	73	20	the	the	DET
ejpam-2260	73	21	cited	cite	VERB
ejpam-2260	73	22	result	result	NOUN
ejpam-2260	73	23	expresses	express	VERB
ejpam-2260	73	24	that	that	SCONJ
ejpam-2260	73	25	the	the	DET
ejpam-2260	73	26	left	left	ADJ
ejpam-2260	73	27	and	and	CCONJ
ejpam-2260	73	28	right	right	ADJ
ejpam-2260	73	29	translations	translation	NOUN
ejpam-2260	73	30	are	be	AUX
ejpam-2260	73	31	isometries	isometry	NOUN
ejpam-2260	73	32	between	between	ADP
ejpam-2260	73	33	the	the	DET
ejpam-2260	73	34	euclidean	euclidean	ADJ
ejpam-2260	73	35	vector	vector	NOUN
ejpam-2260	73	36	spaces	space	NOUN
ejpam-2260	73	37	(	(	PUNCT
ejpam-2260	73	38	tpg	tpg	NOUN
ejpam-2260	73	39	,	,	PUNCT
ejpam-2260	73	40	bgp	bgp	PROPN
ejpam-2260	73	41	)	)	PUNCT
ejpam-2260	73	42	and	and	CCONJ
ejpam-2260	73	43	(	(	PUNCT
ejpam-2260	73	44	tqg	tqg	ADJ
ejpam-2260	73	45	,	,	PUNCT
ejpam-2260	73	46	bgq	bgq	PROPN
ejpam-2260	73	47	)	)	PUNCT
ejpam-2260	73	48	,	,	PUNCT
ejpam-2260	73	49	where	where	SCONJ
ejpam-2260	73	50	p	p	NOUN
ejpam-2260	73	51	and	and	CCONJ
ejpam-2260	73	52	q	q	NOUN
ejpam-2260	73	53	are	be	AUX
ejpam-2260	73	54	any	any	DET
ejpam-2260	73	55	two	two	NUM
ejpam-2260	73	56	points	point	NOUN
ejpam-2260	73	57	in	in	ADP
ejpam-2260	73	58	g.	g.	PROPN
ejpam-2260	73	59	remark	remark	PROPN
ejpam-2260	73	60	2	2	NUM
ejpam-2260	73	61	.	.	PUNCT
ejpam-2260	74	1	the	the	DET
ejpam-2260	74	2	metric	metric	NOUN
ejpam-2260	74	3	constructed	construct	VERB
ejpam-2260	74	4	in	in	ADP
ejpam-2260	74	5	the	the	DET
ejpam-2260	74	6	lemma	lemma	PROPN
ejpam-2260	74	7	is	be	AUX
ejpam-2260	74	8	called	call	VERB
ejpam-2260	74	9	an	an	DET
ejpam-2260	74	10	averaged	average	VERB
ejpam-2260	74	11	riemannian	riemannian	ADJ
ejpam-2260	74	12	metric	metric	NOUN
ejpam-2260	74	13	.	.	PUNCT
ejpam-2260	75	1	averaging	average	VERB
ejpam-2260	75	2	process	process	NOUN
ejpam-2260	75	3	was	be	AUX
ejpam-2260	75	4	first	first	ADV
ejpam-2260	75	5	applied	apply	VERB
ejpam-2260	75	6	in	in	ADP
ejpam-2260	75	7	finsler	finsler	NOUN
ejpam-2260	75	8	geometry	geometry	NOUN
ejpam-2260	75	9	by	by	ADP
ejpam-2260	75	10	z.	z.	PROPN
ejpam-2260	75	11	i.	i.	PROPN
ejpam-2260	75	12	szabó	szabó	PROPN
ejpam-2260	75	13	in	in	ADP
ejpam-2260	75	14	[	[	X
ejpam-2260	75	15	11	11	NUM
ejpam-2260	75	16	]	]	PUNCT
ejpam-2260	75	17	.	.	PUNCT
ejpam-2260	76	1	for	for	ADP
ejpam-2260	76	2	recent	recent	ADJ
ejpam-2260	76	3	results	result	NOUN
ejpam-2260	76	4	and	and	CCONJ
ejpam-2260	76	5	applications	application	NOUN
ejpam-2260	76	6	we	we	PRON
ejpam-2260	76	7	refer	refer	VERB
ejpam-2260	76	8	to	to	ADP
ejpam-2260	76	9	[	[	X
ejpam-2260	76	10	4	4	NUM
ejpam-2260	76	11	,	,	PUNCT
ejpam-2260	76	12	15	15	NUM
ejpam-2260	76	13	,	,	PUNCT
ejpam-2260	76	14	16	16	NUM
ejpam-2260	76	15	]	]	PUNCT
ejpam-2260	76	16	.	.	PUNCT
ejpam-2260	77	1	clearly	clearly	ADV
ejpam-2260	77	2	,	,	PUNCT
ejpam-2260	77	3	if	if	SCONJ
ejpam-2260	77	4	a	a	DET
ejpam-2260	77	5	lie	lie	NOUN
ejpam-2260	77	6	group	group	NOUN
ejpam-2260	77	7	is	be	AUX
ejpam-2260	77	8	endowed	endow	VERB
ejpam-2260	77	9	with	with	ADP
ejpam-2260	77	10	a	a	DET
ejpam-2260	77	11	left	left	ADJ
ejpam-2260	77	12	(	(	PUNCT
ejpam-2260	77	13	resp	resp	NOUN
ejpam-2260	77	14	.	.	PUNCT
ejpam-2260	78	1	right	right	ADJ
ejpam-2260	78	2	)	)	PUNCT
ejpam-2260	78	3	invariant	invariant	ADJ
ejpam-2260	78	4	finsler	finsler	NOUN
ejpam-2260	78	5	function	function	NOUN
ejpam-2260	78	6	,	,	PUNCT
ejpam-2260	78	7	then	then	ADV
ejpam-2260	78	8	the	the	DET
ejpam-2260	78	9	averaged	average	VERB
ejpam-2260	78	10	riemannian	riemannian	ADJ
ejpam-2260	78	11	metric	metric	NOUN
ejpam-2260	78	12	is	be	AUX
ejpam-2260	78	13	left	leave	VERB
ejpam-2260	78	14	(	(	PUNCT
ejpam-2260	78	15	resp	resp	NOUN
ejpam-2260	78	16	.	.	PUNCT
ejpam-2260	79	1	right	right	ADJ
ejpam-2260	79	2	)	)	PUNCT
ejpam-2260	79	3	invariant	invariant	ADJ
ejpam-2260	79	4	.	.	PUNCT
ejpam-2260	80	1	3	3	X
ejpam-2260	80	2	.	.	X
ejpam-2260	80	3	left	leave	VERB
ejpam-2260	80	4	invariant	invariant	ADJ
ejpam-2260	80	5	finsler	finsler	NOUN
ejpam-2260	80	6	functions	function	NOUN
ejpam-2260	80	7	the	the	DET
ejpam-2260	80	8	main	main	ADJ
ejpam-2260	80	9	result	result	NOUN
ejpam-2260	80	10	of	of	ADP
ejpam-2260	80	11	the	the	DET
ejpam-2260	80	12	paper	paper	NOUN
ejpam-2260	80	13	,	,	PUNCT
ejpam-2260	80	14	as	as	SCONJ
ejpam-2260	80	15	indicated	indicate	VERB
ejpam-2260	80	16	in	in	ADP
ejpam-2260	80	17	the	the	DET
ejpam-2260	80	18	title	title	NOUN
ejpam-2260	80	19	,	,	PUNCT
ejpam-2260	80	20	is	be	AUX
ejpam-2260	80	21	the	the	DET
ejpam-2260	80	22	following	following	NOUN
ejpam-2260	80	23	.	.	PUNCT
ejpam-2260	81	1	theorem	theorem	NOUN
ejpam-2260	81	2	1	1	NUM
ejpam-2260	81	3	.	.	PUNCT
ejpam-2260	82	1	a	a	DET
ejpam-2260	82	2	connected	connected	ADJ
ejpam-2260	82	3	lie	lie	NOUN
ejpam-2260	82	4	group	group	NOUN
ejpam-2260	82	5	equipped	equip	VERB
ejpam-2260	82	6	with	with	ADP
ejpam-2260	82	7	a	a	DET
ejpam-2260	82	8	left	leave	VERB
ejpam-2260	82	9	invariant	invariant	ADJ
ejpam-2260	82	10	finsler	finsler	NOUN
ejpam-2260	82	11	function	function	NOUN
ejpam-2260	82	12	is	be	AUX
ejpam-2260	82	13	a	a	DET
ejpam-2260	82	14	generalized	generalized	ADJ
ejpam-2260	82	15	berwald	berwald	NOUN
ejpam-2260	82	16	manifold	manifold	ADJ
ejpam-2260	82	17	.	.	PUNCT
ejpam-2260	83	1	proof	proof	NOUN
ejpam-2260	83	2	.	.	PUNCT
ejpam-2260	84	1	let	let	VERB
ejpam-2260	84	2	g	g	PRON
ejpam-2260	84	3	be	be	AUX
ejpam-2260	84	4	an	an	DET
ejpam-2260	84	5	n	n	ADV
ejpam-2260	84	6	-	-	PUNCT
ejpam-2260	84	7	dimensional	dimensional	ADJ
ejpam-2260	84	8	connected	connected	ADJ
ejpam-2260	84	9	lie	lie	NOUN
ejpam-2260	84	10	group	group	NOUN
ejpam-2260	84	11	and	and	CCONJ
ejpam-2260	84	12	let	let	VERB
ejpam-2260	84	13	f	f	PROPN
ejpam-2260	84	14	:	:	PUNCT
ejpam-2260	84	15	t	t	PROPN
ejpam-2260	84	16	g	g	PROPN
ejpam-2260	84	17	→	→	SYM
ejpam-2260	84	18	r	r	NOUN
ejpam-2260	84	19	be	be	AUX
ejpam-2260	84	20	a	a	DET
ejpam-2260	84	21	finsler	finsler	NOUN
ejpam-2260	84	22	function	function	NOUN
ejpam-2260	85	1	such	such	ADJ
ejpam-2260	85	2	that	that	SCONJ
ejpam-2260	85	3	f	f	PROPN
ejpam-2260	85	4	◦	◦	NOUN
ejpam-2260	85	5	(	(	PUNCT
ejpam-2260	85	6	λg)∗	λg)∗	X
ejpam-2260	85	7	=	=	SYM
ejpam-2260	85	8	f	f	PROPN
ejpam-2260	85	9	for	for	ADP
ejpam-2260	85	10	all	all	DET
ejpam-2260	85	11	g	g	PROPN
ejpam-2260	85	12	∈	∈	PROPN
ejpam-2260	85	13	g.	g.	NOUN
ejpam-2260	85	14	(	(	PUNCT
ejpam-2260	85	15	5	5	NUM
ejpam-2260	85	16	)	)	PUNCT
ejpam-2260	85	17	more	more	ADV
ejpam-2260	85	18	precisely	precisely	ADV
ejpam-2260	85	19	,	,	PUNCT
ejpam-2260	85	20	fgp	fgp	ADJ
ejpam-2260	85	21	◦	◦	NOUN
ejpam-2260	85	22	(	(	PUNCT
ejpam-2260	85	23	(	(	PUNCT
ejpam-2260	85	24	λg)∗)p	λg)∗)p	PROPN
ejpam-2260	85	25	=	=	SYM
ejpam-2260	85	26	fp	fp	PROPN
ejpam-2260	85	27	for	for	ADP
ejpam-2260	85	28	all	all	DET
ejpam-2260	85	29	p	p	NOUN
ejpam-2260	85	30	,	,	PUNCT
ejpam-2260	85	31	g	g	PROPN
ejpam-2260	85	32	∈	∈	PROPN
ejpam-2260	85	33	g	g	NOUN
ejpam-2260	85	34	,	,	PUNCT
ejpam-2260	85	35	where	where	SCONJ
ejpam-2260	85	36	fp	fp	X
ejpam-2260	85	37	:	:	PUNCT
ejpam-2260	85	38	=	=	SYM
ejpam-2260	85	39	f	f	X
ejpam-2260	85	40	↾	↾	X
ejpam-2260	85	41	tpg	tpg	NOUN
ejpam-2260	85	42	.	.	PUNCT
ejpam-2260	86	1	furthermore	furthermore	ADV
ejpam-2260	86	2	,	,	PUNCT
ejpam-2260	86	3	let	let	VERB
ejpam-2260	86	4	(	(	PUNCT
ejpam-2260	86	5	ei	ei	NOUN
ejpam-2260	86	6	)	)	PUNCT
ejpam-2260	86	7	n	n	NOUN
ejpam-2260	86	8	i=1	i=1	PROPN
ejpam-2260	86	9	be	be	AUX
ejpam-2260	86	10	a	a	DET
ejpam-2260	86	11	frame	frame	NOUN
ejpam-2260	86	12	field	field	NOUN
ejpam-2260	86	13	of	of	ADP
ejpam-2260	86	14	g	g	NOUN
ejpam-2260	86	15	consisting	consist	VERB
ejpam-2260	86	16	of	of	ADP
ejpam-2260	86	17	left	left	ADJ
ejpam-2260	86	18	invariant	invariant	ADJ
ejpam-2260	86	19	vector	vector	NOUN
ejpam-2260	86	20	fields	field	NOUN
ejpam-2260	86	21	.	.	PUNCT
ejpam-2260	87	1	observe	observe	VERB
ejpam-2260	87	2	first	first	ADV
ejpam-2260	87	3	that	that	SCONJ
ejpam-2260	87	4	for	for	ADP
ejpam-2260	87	5	any	any	DET
ejpam-2260	87	6	two	two	NUM
ejpam-2260	87	7	points	point	NOUN
ejpam-2260	87	8	p	p	X
ejpam-2260	87	9	,	,	PUNCT
ejpam-2260	87	10	q	q	NOUN
ejpam-2260	87	11	in	in	ADP
ejpam-2260	87	12	g	g	PROPN
ejpam-2260	87	13	and	and	CCONJ
ejpam-2260	87	14	any	any	DET
ejpam-2260	87	15	n	n	CCONJ
ejpam-2260	87	16	-	-	PUNCT
ejpam-2260	87	17	tuple	tuple	NOUN
ejpam-2260	87	18	(	(	PUNCT
ejpam-2260	87	19	ν1	ν1	NOUN
ejpam-2260	87	20	,	,	PUNCT
ejpam-2260	87	21	.	.	PUNCT
ejpam-2260	87	22	.	.	PUNCT
ejpam-2260	87	23	.	.	PUNCT
ejpam-2260	88	1	,	,	PUNCT
ejpam-2260	88	2	νn	νn	X
ejpam-2260	88	3	)	)	PUNCT
ejpam-2260	88	4	∈	∈	PROPN
ejpam-2260	88	5	rn	rn	NOUN
ejpam-2260	88	6	we	we	PRON
ejpam-2260	88	7	have	have	VERB
ejpam-2260	88	8	fq(ν	fq(ν	NOUN
ejpam-2260	88	9	i	i	PRON
ejpam-2260	88	10	ei(q	ei(q	PUNCT
ejpam-2260	88	11	)	)	PUNCT
ejpam-2260	88	12	)	)	PUNCT
ejpam-2260	89	1	=	=	PUNCT
ejpam-2260	89	2	fp(ν	fp(ν	VERB
ejpam-2260	89	3	i	i	PRON
ejpam-2260	89	4	ei(p	ei(p	NOUN
ejpam-2260	89	5	)	)	PUNCT
ejpam-2260	89	6	)	)	PUNCT
ejpam-2260	89	7	(	(	PUNCT
ejpam-2260	89	8	6	6	NUM
ejpam-2260	89	9	)	)	PUNCT
ejpam-2260	89	10	(	(	PUNCT
ejpam-2260	89	11	summation	summation	NOUN
ejpam-2260	89	12	convention	convention	NOUN
ejpam-2260	89	13	in	in	ADP
ejpam-2260	89	14	force	force	NOUN
ejpam-2260	89	15	)	)	PUNCT
ejpam-2260	89	16	,	,	PUNCT
ejpam-2260	89	17	that	that	ADV
ejpam-2260	89	18	is	is	ADV
ejpam-2260	89	19	,	,	PUNCT
ejpam-2260	89	20	parallel	parallel	ADJ
ejpam-2260	89	21	vectors	vector	NOUN
ejpam-2260	89	22	have	have	VERB
ejpam-2260	89	23	the	the	DET
ejpam-2260	89	24	same	same	ADJ
ejpam-2260	89	25	finsler	finsler	NOUN
ejpam-2260	89	26	norms	norm	NOUN
ejpam-2260	89	27	.	.	PUNCT
ejpam-2260	90	1	indeed	indeed	ADV
ejpam-2260	90	2	,	,	PUNCT
ejpam-2260	90	3	fq(ν	fq(ν	VERB
ejpam-2260	90	4	i	i	PRON
ejpam-2260	90	5	ei(q	ei(q	PUNCT
ejpam-2260	90	6	)	)	PUNCT
ejpam-2260	90	7	)	)	PUNCT
ejpam-2260	91	1	=	=	PRON
ejpam-2260	91	2	fq	fq	PROPN
ejpam-2260	91	3	�	�	PROPN
ejpam-2260	91	4	νi	νi	DET
ejpam-2260	91	5	ei(λqp−1(p	ei(λqp−1(p	NOUN
ejpam-2260	91	6	)	)	PUNCT
ejpam-2260	91	7	)	)	PUNCT
ejpam-2260	91	8	�	�	PROPN
ejpam-2260	91	9	=	=	SYM
ejpam-2260	91	10	fq(ν	fq(ν	NOUN
ejpam-2260	91	11	i(λqp−1)∗ei(p	i(λqp−1)∗ei(p	NOUN
ejpam-2260	91	12	)	)	PUNCT
ejpam-2260	91	13	)	)	PUNCT
ejpam-2260	92	1	=	=	PROPN
ejpam-2260	92	2	fq	fq	PROPN
ejpam-2260	92	3	�	�	PROPN
ejpam-2260	92	4	(	(	PUNCT
ejpam-2260	92	5	λqp−1)∗(ν	λqp−1)∗(ν	PROPN
ejpam-2260	92	6	i	i	PRON
ejpam-2260	92	7	ei(p	ei(p	NOUN
ejpam-2260	92	8	)	)	PUNCT
ejpam-2260	92	9	)	)	PUNCT
ejpam-2260	92	10	�	�	PROPN
ejpam-2260	92	11	(	(	PUNCT
ejpam-2260	92	12	5	5	NUM
ejpam-2260	92	13	)	)	PUNCT
ejpam-2260	92	14	=	=	PUNCT
ejpam-2260	92	15	fp(ν	fp(ν	VERB
ejpam-2260	92	16	i	i	PRON
ejpam-2260	92	17	ei(p	ei(p	NOUN
ejpam-2260	92	18	)	)	PUNCT
ejpam-2260	92	19	)	)	PUNCT
ejpam-2260	92	20	.	.	PUNCT
ejpam-2260	93	1	b.	b.	PROPN
ejpam-2260	93	2	aradi	aradi	PROPN
ejpam-2260	93	3	/	/	SYM
ejpam-2260	93	4	eur	eur	PROPN
ejpam-2260	93	5	.	.	PUNCT
ejpam-2260	94	1	j.	j.	PROPN
ejpam-2260	94	2	pure	pure	PROPN
ejpam-2260	94	3	appl	appl	PROPN
ejpam-2260	94	4	.	.	PROPN
ejpam-2260	94	5	math	math	PROPN
ejpam-2260	94	6	,	,	PUNCT
ejpam-2260	94	7	8	8	NUM
ejpam-2260	94	8	(	(	PUNCT
ejpam-2260	94	9	2015	2015	NUM
ejpam-2260	94	10	)	)	PUNCT
ejpam-2260	94	11	,	,	PUNCT
ejpam-2260	94	12	118	118	NUM
ejpam-2260	94	13	-	-	SYM
ejpam-2260	94	14	125	125	NUM
ejpam-2260	94	15	122	122	NUM
ejpam-2260	94	16	now	now	ADV
ejpam-2260	94	17	consider	consider	VERB
ejpam-2260	94	18	the	the	DET
ejpam-2260	94	19	covariant	covariant	ADJ
ejpam-2260	94	20	derivative	derivative	ADJ
ejpam-2260	94	21	∇	∇	NOUN
ejpam-2260	94	22	on	on	ADP
ejpam-2260	94	23	g	g	PROPN
ejpam-2260	94	24	specified	specify	VERB
ejpam-2260	94	25	by	by	ADP
ejpam-2260	94	26	∇e	∇e	PROPN
ejpam-2260	94	27	j	j	PROPN
ejpam-2260	94	28	ek	ek	NOUN
ejpam-2260	94	29	=	=	PROPN
ejpam-2260	94	30	0	0	PROPN
ejpam-2260	94	31	;	;	PUNCT
ejpam-2260	94	32	j	j	PROPN
ejpam-2260	94	33	,	,	PUNCT
ejpam-2260	94	34	k	k	PROPN
ejpam-2260	94	35	∈	∈	PROPN
ejpam-2260	94	36	{	{	PUNCT
ejpam-2260	94	37	1	1	NUM
ejpam-2260	94	38	,	,	PUNCT
ejpam-2260	94	39	.	.	PUNCT
ejpam-2260	94	40	.	.	PUNCT
ejpam-2260	94	41	.	.	PUNCT
ejpam-2260	94	42	,	,	PUNCT
ejpam-2260	94	43	n	n	CCONJ
ejpam-2260	94	44	}	}	PUNCT
ejpam-2260	94	45	.	.	PUNCT
ejpam-2260	95	1	(	(	PUNCT
ejpam-2260	95	2	7	7	X
ejpam-2260	95	3	)	)	PUNCT
ejpam-2260	95	4	given	give	VERB
ejpam-2260	95	5	a	a	DET
ejpam-2260	95	6	smooth	smooth	ADJ
ejpam-2260	95	7	curve	curve	NOUN
ejpam-2260	95	8	γ	γ	NOUN
ejpam-2260	95	9	:	:	PUNCT
ejpam-2260	95	10	i	i	PROPN
ejpam-2260	95	11	→	→	SYM
ejpam-2260	95	12	g	g	PROPN
ejpam-2260	95	13	(	(	PUNCT
ejpam-2260	95	14	where	where	SCONJ
ejpam-2260	95	15	0	0	NUM
ejpam-2260	95	16	∈	∈	PROPN
ejpam-2260	95	17	i	i	NOUN
ejpam-2260	95	18	)	)	PUNCT
ejpam-2260	95	19	,	,	PUNCT
ejpam-2260	95	20	let	let	VERB
ejpam-2260	95	21	∇γ	∇γ	PRON
ejpam-2260	95	22	be	be	AUX
ejpam-2260	95	23	the	the	DET
ejpam-2260	95	24	induced	induce	VERB
ejpam-2260	95	25	covariant	covariant	ADJ
ejpam-2260	95	26	derivative	derivative	NOUN
ejpam-2260	95	27	along	along	ADP
ejpam-2260	95	28	γ	γ	PROPN
ejpam-2260	95	29	,	,	PUNCT
ejpam-2260	95	30	and	and	CCONJ
ejpam-2260	95	31	let	let	VERB
ejpam-2260	95	32	(	(	PUNCT
ejpam-2260	95	33	pγ	pγ	NOUN
ejpam-2260	95	34	)	)	PUNCT
ejpam-2260	95	35	t	t	NOUN
ejpam-2260	95	36	0	0	NUM
ejpam-2260	95	37	:	:	PUNCT
ejpam-2260	95	38	tγ(0)g→	tγ(0)g→	VERB
ejpam-2260	95	39	tγ(t)g	tγ(t)g	PRON
ejpam-2260	95	40	be	be	AUX
ejpam-2260	95	41	the	the	DET
ejpam-2260	95	42	corresponding	corresponding	ADJ
ejpam-2260	95	43	parallel	parallel	ADJ
ejpam-2260	95	44	translation	translation	NOUN
ejpam-2260	95	45	from	from	ADP
ejpam-2260	95	46	γ(0	γ(0	PROPN
ejpam-2260	95	47	)	)	PUNCT
ejpam-2260	95	48	to	to	ADP
ejpam-2260	95	49	γ(t	γ(t	NOUN
ejpam-2260	95	50	)	)	PUNCT
ejpam-2260	95	51	(	(	PUNCT
ejpam-2260	95	52	t	t	PROPN
ejpam-2260	95	53	∈	∈	PROPN
ejpam-2260	95	54	i	i	PROPN
ejpam-2260	95	55	)	)	PUNCT
ejpam-2260	95	56	.	.	PUNCT
ejpam-2260	96	1	for	for	ADP
ejpam-2260	96	2	any	any	DET
ejpam-2260	96	3	tangent	tangent	NOUN
ejpam-2260	96	4	vector	vector	NOUN
ejpam-2260	96	5	v	v	PROPN
ejpam-2260	96	6	∈	∈	PROPN
ejpam-2260	96	7	tγ(0)g	tγ(0)g	PROPN
ejpam-2260	96	8	,	,	PUNCT
ejpam-2260	96	9	there	there	PRON
ejpam-2260	96	10	exists	exist	VERB
ejpam-2260	96	11	a	a	DET
ejpam-2260	96	12	unique	unique	ADJ
ejpam-2260	96	13	parallel	parallel	ADJ
ejpam-2260	96	14	vector	vector	NOUN
ejpam-2260	96	15	field	field	NOUN
ejpam-2260	96	16	x	x	PUNCT
ejpam-2260	96	17	along	along	ADP
ejpam-2260	96	18	γ	γ	X
ejpam-2260	96	19	such	such	ADJ
ejpam-2260	96	20	that	that	SCONJ
ejpam-2260	96	21	x	x	SYM
ejpam-2260	96	22	(	(	PUNCT
ejpam-2260	96	23	0	0	NUM
ejpam-2260	96	24	)	)	PUNCT
ejpam-2260	96	25	=	=	VERB
ejpam-2260	97	1	v.	v.	CCONJ
ejpam-2260	97	2	it	it	PRON
ejpam-2260	97	3	can	can	AUX
ejpam-2260	97	4	be	be	AUX
ejpam-2260	97	5	expressed	express	VERB
ejpam-2260	97	6	in	in	ADP
ejpam-2260	97	7	the	the	DET
ejpam-2260	97	8	form	form	NOUN
ejpam-2260	97	9	x	x	PUNCT
ejpam-2260	97	10	=	=	SYM
ejpam-2260	97	11	x	x	SYM
ejpam-2260	97	12	i(ei	i(ei	NOUN
ejpam-2260	97	13	◦	◦	NOUN
ejpam-2260	97	14	γ	γ	NOUN
ejpam-2260	97	15	)	)	PUNCT
ejpam-2260	97	16	,	,	PUNCT
ejpam-2260	97	17	where	where	SCONJ
ejpam-2260	97	18	x	x	X
ejpam-2260	97	19	i	i	NOUN
ejpam-2260	97	20	:	:	PUNCT
ejpam-2260	97	21	i	i	PRON
ejpam-2260	97	22	→	→	SYM
ejpam-2260	97	23	r	r	X
ejpam-2260	97	24	,	,	PUNCT
ejpam-2260	97	25	i	i	PRON
ejpam-2260	97	26	∈	∈	PROPN
ejpam-2260	97	27	{	{	PUNCT
ejpam-2260	97	28	1	1	NUM
ejpam-2260	97	29	,	,	PUNCT
ejpam-2260	97	30	.	.	PUNCT
ejpam-2260	97	31	.	.	PUNCT
ejpam-2260	98	1	.	.	PUNCT
ejpam-2260	99	1	,	,	PUNCT
ejpam-2260	99	2	n	n	CCONJ
ejpam-2260	99	3	}	}	PUNCT
ejpam-2260	99	4	are	be	AUX
ejpam-2260	99	5	smooth	smooth	ADJ
ejpam-2260	99	6	functions	function	NOUN
ejpam-2260	99	7	.	.	PUNCT
ejpam-2260	100	1	thus	thus	ADV
ejpam-2260	100	2	we	we	PRON
ejpam-2260	100	3	have	have	VERB
ejpam-2260	100	4	0=∇γx	0=∇γx	NUM
ejpam-2260	100	5	=	=	SYM
ejpam-2260	100	6	∇γ(x	∇γ(x	NOUN
ejpam-2260	100	7	i(ei	i(ei	AUX
ejpam-2260	100	8	◦	◦	NOUN
ejpam-2260	100	9	γ	γ	NOUN
ejpam-2260	100	10	)	)	PUNCT
ejpam-2260	100	11	)	)	PUNCT
ejpam-2260	100	12	(	(	PUNCT
ejpam-2260	100	13	7	7	X
ejpam-2260	100	14	)	)	PUNCT
ejpam-2260	100	15	=	=	NOUN
ejpam-2260	101	1	x	x	PUNCT
ejpam-2260	101	2	i	i	PRON
ejpam-2260	101	3	′(ei	′(ei	VERB
ejpam-2260	101	4	◦	◦	NOUN
ejpam-2260	101	5	γ	γ	NOUN
ejpam-2260	101	6	)	)	PUNCT
ejpam-2260	101	7	,	,	PUNCT
ejpam-2260	101	8	which	which	PRON
ejpam-2260	101	9	implies	imply	VERB
ejpam-2260	101	10	that	that	SCONJ
ejpam-2260	101	11	the	the	DET
ejpam-2260	101	12	functions	function	NOUN
ejpam-2260	101	13	x	x	VERB
ejpam-2260	101	14	i	i	PRON
ejpam-2260	101	15	are	be	AUX
ejpam-2260	101	16	constant	constant	ADJ
ejpam-2260	101	17	.	.	PUNCT
ejpam-2260	102	1	so	so	ADV
ejpam-2260	102	2	there	there	PRON
ejpam-2260	102	3	is	be	VERB
ejpam-2260	102	4	an	an	DET
ejpam-2260	102	5	n	n	CCONJ
ejpam-2260	102	6	-	-	PUNCT
ejpam-2260	102	7	tuple	tuple	NOUN
ejpam-2260	102	8	(	(	PUNCT
ejpam-2260	102	9	ν1	ν1	NOUN
ejpam-2260	102	10	,	,	PUNCT
ejpam-2260	102	11	.	.	PUNCT
ejpam-2260	102	12	.	.	PUNCT
ejpam-2260	103	1	.	.	PUNCT
ejpam-2260	104	1	,	,	PUNCT
ejpam-2260	104	2	νn	νn	X
ejpam-2260	104	3	)	)	PUNCT
ejpam-2260	104	4	∈	∈	PROPN
ejpam-2260	104	5	rn	rn	PROPN
ejpam-2260	104	6	such	such	ADJ
ejpam-2260	104	7	that	that	SCONJ
ejpam-2260	104	8	x	x	X
ejpam-2260	105	1	=	=	PUNCT
ejpam-2260	105	2	νi(ei	νi(ei	ADJ
ejpam-2260	105	3	◦	◦	NOUN
ejpam-2260	105	4	γ	γ	NOUN
ejpam-2260	105	5	)	)	PUNCT
ejpam-2260	105	6	.	.	PUNCT
ejpam-2260	106	1	then	then	ADV
ejpam-2260	106	2	v	v	X
ejpam-2260	106	3	=	=	SYM
ejpam-2260	106	4	x	x	X
ejpam-2260	106	5	(	(	PUNCT
ejpam-2260	106	6	0	0	NUM
ejpam-2260	106	7	)	)	PUNCT
ejpam-2260	106	8	=	=	NOUN
ejpam-2260	106	9	νi	νi	DET
ejpam-2260	106	10	ei(γ(0	ei(γ(0	NOUN
ejpam-2260	106	11	)	)	PUNCT
ejpam-2260	106	12	)	)	PUNCT
ejpam-2260	106	13	.	.	PUNCT
ejpam-2260	107	1	now	now	ADV
ejpam-2260	107	2	,	,	PUNCT
ejpam-2260	107	3	for	for	ADP
ejpam-2260	107	4	every	every	DET
ejpam-2260	107	5	t	t	NOUN
ejpam-2260	107	6	∈	∈	PROPN
ejpam-2260	108	1	i	i	PRON
ejpam-2260	108	2	,	,	PUNCT
ejpam-2260	108	3	(	(	PUNCT
ejpam-2260	108	4	pγ	pγ	NOUN
ejpam-2260	108	5	)	)	PUNCT
ejpam-2260	108	6	t	t	NOUN
ejpam-2260	108	7	0(v	0(v	NUM
ejpam-2260	108	8	)	)	PUNCT
ejpam-2260	109	1	=	=	SYM
ejpam-2260	109	2	x	x	SYM
ejpam-2260	109	3	(	(	PUNCT
ejpam-2260	109	4	t	t	NOUN
ejpam-2260	109	5	)	)	PUNCT
ejpam-2260	109	6	=	=	NOUN
ejpam-2260	109	7	νi	νi	PRON
ejpam-2260	109	8	ei(γ(t	ei(γ(t	NOUN
ejpam-2260	109	9	)	)	PUNCT
ejpam-2260	109	10	)	)	PUNCT
ejpam-2260	109	11	,	,	PUNCT
ejpam-2260	109	12	(	(	PUNCT
ejpam-2260	109	13	8)	8)	NUM
ejpam-2260	109	14	and	and	CCONJ
ejpam-2260	109	15	hence	hence	ADV
ejpam-2260	109	16	fγ(t	fγ(t	NOUN
ejpam-2260	109	17	)	)	PUNCT
ejpam-2260	109	18	◦	◦	NOUN
ejpam-2260	109	19	(	(	PUNCT
ejpam-2260	109	20	pγ	pγ	NOUN
ejpam-2260	109	21	)	)	PUNCT
ejpam-2260	109	22	t	t	NOUN
ejpam-2260	109	23	0(v	0(v	NUM
ejpam-2260	109	24	)	)	PUNCT
ejpam-2260	109	25	(	(	PUNCT
ejpam-2260	109	26	8)	8)	NUM
ejpam-2260	109	27	=	=	SYM
ejpam-2260	109	28	fγ(t)(ν	fγ(t)(ν	PROPN
ejpam-2260	109	29	i	i	PRON
ejpam-2260	109	30	ei(γ(t	ei(γ(t	NOUN
ejpam-2260	109	31	)	)	PUNCT
ejpam-2260	109	32	)	)	PUNCT
ejpam-2260	109	33	)	)	PUNCT
ejpam-2260	110	1	(	(	PUNCT
ejpam-2260	110	2	6	6	NUM
ejpam-2260	110	3	)	)	PUNCT
ejpam-2260	110	4	=	=	SYM
ejpam-2260	110	5	fγ(0	fγ(0	PROPN
ejpam-2260	110	6	)	)	PUNCT
ejpam-2260	110	7	�	�	PROPN
ejpam-2260	110	8	νi	νi	PRON
ejpam-2260	110	9	ei(γ(0	ei(γ(0	NOUN
ejpam-2260	110	10	)	)	PUNCT
ejpam-2260	110	11	)	)	PUNCT
ejpam-2260	110	12	�	�	PROPN
ejpam-2260	110	13	=	=	SYM
ejpam-2260	110	14	fγ(0)(v	fγ(0)(v	PROPN
ejpam-2260	110	15	)	)	PUNCT
ejpam-2260	110	16	.	.	PUNCT
ejpam-2260	111	1	thus	thus	ADV
ejpam-2260	111	2	the	the	DET
ejpam-2260	111	3	parallel	parallel	ADJ
ejpam-2260	111	4	translations	translation	NOUN
ejpam-2260	111	5	determined	determine	VERB
ejpam-2260	111	6	by	by	ADP
ejpam-2260	111	7	∇	∇	NOUN
ejpam-2260	111	8	preserve	preserve	VERB
ejpam-2260	111	9	the	the	DET
ejpam-2260	111	10	finsler	finsler	NOUN
ejpam-2260	111	11	norms	norm	NOUN
ejpam-2260	111	12	of	of	ADP
ejpam-2260	111	13	the	the	DET
ejpam-2260	111	14	tangent	tangent	ADJ
ejpam-2260	111	15	vectors	vector	NOUN
ejpam-2260	111	16	to	to	ADP
ejpam-2260	111	17	g	g	PRON
ejpam-2260	111	18	,	,	PUNCT
ejpam-2260	111	19	as	as	SCONJ
ejpam-2260	111	20	was	be	AUX
ejpam-2260	111	21	to	to	PART
ejpam-2260	111	22	be	be	AUX
ejpam-2260	111	23	shown	show	VERB
ejpam-2260	111	24	.	.	PUNCT
ejpam-2260	112	1	remark	remark	NOUN
ejpam-2260	112	2	3	3	NUM
ejpam-2260	112	3	.	.	PUNCT
ejpam-2260	113	1	the	the	DET
ejpam-2260	113	2	“	"	PUNCT
ejpam-2260	113	3	compatible”and	compatible”and	NOUN
ejpam-2260	113	4	“	"	PUNCT
ejpam-2260	113	5	covariant	covariant	ADJ
ejpam-2260	113	6	”	"	PUNCT
ejpam-2260	113	7	derivative	derivative	NOUN
ejpam-2260	113	8	constructed	construct	VERB
ejpam-2260	113	9	in	in	ADP
ejpam-2260	113	10	the	the	DET
ejpam-2260	113	11	proof	proof	NOUN
ejpam-2260	113	12	of	of	ADP
ejpam-2260	113	13	theorem	theorem	ADJ
ejpam-2260	113	14	1	1	NUM
ejpam-2260	113	15	is	be	AUX
ejpam-2260	113	16	a	a	DET
ejpam-2260	113	17	special	special	ADJ
ejpam-2260	113	18	case	case	NOUN
ejpam-2260	113	19	of	of	ADP
ejpam-2260	113	20	a	a	DET
ejpam-2260	113	21	covariant	covariant	ADJ
ejpam-2260	113	22	derivative	derivative	NOUN
ejpam-2260	113	23	appearing	appear	VERB
ejpam-2260	113	24	in	in	ADP
ejpam-2260	113	25	[	[	X
ejpam-2260	113	26	1	1	NUM
ejpam-2260	113	27	]	]	X
ejpam-2260	113	28	(	(	PUNCT
ejpam-2260	113	29	corollary	corollary	ADJ
ejpam-2260	113	30	4.3	4.3	NUM
ejpam-2260	113	31	,	,	PUNCT
ejpam-2260	113	32	see	see	AUX
ejpam-2260	113	33	also	also	ADV
ejpam-2260	113	34	theorem	theorem	VERB
ejpam-2260	113	35	4.1	4.1	NUM
ejpam-2260	113	36	)	)	PUNCT
ejpam-2260	113	37	.	.	PUNCT
ejpam-2260	114	1	this	this	DET
ejpam-2260	114	2	result	result	NOUN
ejpam-2260	114	3	characterizes	characterize	VERB
ejpam-2260	114	4	generalized	generalized	ADJ
ejpam-2260	114	5	berwald	berwald	NOUN
ejpam-2260	114	6	manifolds	manifold	NOUN
ejpam-2260	114	7	by	by	ADP
ejpam-2260	114	8	using	use	VERB
ejpam-2260	114	9	the	the	DET
ejpam-2260	114	10	concept	concept	NOUN
ejpam-2260	114	11	of	of	ADP
ejpam-2260	114	12	a	a	DET
ejpam-2260	114	13	covering	covering	NOUN
ejpam-2260	114	14	parallelism	parallelism	NOUN
ejpam-2260	114	15	,	,	PUNCT
ejpam-2260	114	16	which	which	PRON
ejpam-2260	114	17	is	be	AUX
ejpam-2260	114	18	compatible	compatible	ADJ
ejpam-2260	114	19	with	with	ADP
ejpam-2260	114	20	the	the	DET
ejpam-2260	114	21	finsler	finsler	NOUN
ejpam-2260	114	22	function	function	NOUN
ejpam-2260	114	23	.	.	PUNCT
ejpam-2260	115	1	namely	namely	ADV
ejpam-2260	115	2	,	,	PUNCT
ejpam-2260	115	3	it	it	PRON
ejpam-2260	115	4	is	be	AUX
ejpam-2260	115	5	shown	show	VERB
ejpam-2260	115	6	that	that	SCONJ
ejpam-2260	115	7	a	a	DET
ejpam-2260	115	8	finsler	finsler	NOUN
ejpam-2260	115	9	manifold	manifold	NOUN
ejpam-2260	115	10	is	be	AUX
ejpam-2260	115	11	a	a	DET
ejpam-2260	115	12	generalized	generalized	ADJ
ejpam-2260	115	13	berwald	berwald	NOUN
ejpam-2260	115	14	manifold	manifold	ADJ
ejpam-2260	115	15	if	if	SCONJ
ejpam-2260	115	16	,	,	PUNCT
ejpam-2260	115	17	and	and	CCONJ
ejpam-2260	115	18	only	only	ADV
ejpam-2260	115	19	if	if	SCONJ
ejpam-2260	115	20	,	,	PUNCT
ejpam-2260	115	21	the	the	DET
ejpam-2260	115	22	finsler	finsler	NOUN
ejpam-2260	115	23	function	function	NOUN
ejpam-2260	115	24	is	be	AUX
ejpam-2260	115	25	compatible	compatible	ADJ
ejpam-2260	115	26	with	with	ADP
ejpam-2260	115	27	a	a	DET
ejpam-2260	115	28	covering	covering	NOUN
ejpam-2260	115	29	parallelism	parallelism	NOUN
ejpam-2260	115	30	.	.	PUNCT
ejpam-2260	116	1	4	4	X
ejpam-2260	116	2	.	.	X
ejpam-2260	116	3	an	an	DET
ejpam-2260	116	4	example	example	NOUN
ejpam-2260	116	5	theorem	theorem	VERB
ejpam-2260	116	6	1	1	NUM
ejpam-2260	116	7	makes	make	VERB
ejpam-2260	116	8	it	it	PRON
ejpam-2260	116	9	possible	possible	ADJ
ejpam-2260	116	10	to	to	PART
ejpam-2260	116	11	obtain	obtain	VERB
ejpam-2260	116	12	numerous	numerous	ADJ
ejpam-2260	116	13	examples	example	NOUN
ejpam-2260	116	14	of	of	ADP
ejpam-2260	116	15	generalized	generalized	ADJ
ejpam-2260	116	16	berwald	berwald	NOUN
ejpam-2260	116	17	manifolds	manifold	NOUN
ejpam-2260	116	18	.	.	PUNCT
ejpam-2260	117	1	here	here	ADV
ejpam-2260	117	2	we	we	PRON
ejpam-2260	117	3	show	show	VERB
ejpam-2260	117	4	that	that	SCONJ
ejpam-2260	117	5	the	the	DET
ejpam-2260	117	6	finsler	finsler	NOUN
ejpam-2260	117	7	function	function	NOUN
ejpam-2260	117	8	constructed	construct	VERB
ejpam-2260	117	9	by	by	ADP
ejpam-2260	117	10	libing	libing	PROPN
ejpam-2260	117	11	and	and	CCONJ
ejpam-2260	117	12	mo	mo	PROPN
ejpam-2260	117	13	as	as	ADP
ejpam-2260	117	14	an	an	DET
ejpam-2260	117	15	example	example	NOUN
ejpam-2260	117	16	of	of	ADP
ejpam-2260	117	17	a	a	DET
ejpam-2260	117	18	left	leave	VERB
ejpam-2260	117	19	invariant	invariant	ADJ
ejpam-2260	117	20	finsler	finsler	NOUN
ejpam-2260	117	21	function	function	NOUN
ejpam-2260	117	22	not	not	PART
ejpam-2260	117	23	all	all	PRON
ejpam-2260	117	24	of	of	ADP
ejpam-2260	117	25	whose	whose	DET
ejpam-2260	117	26	geodesics	geodesic	NOUN
ejpam-2260	117	27	are	be	AUX
ejpam-2260	117	28	left	leave	VERB
ejpam-2260	117	29	translations	translation	NOUN
ejpam-2260	117	30	of	of	ADP
ejpam-2260	117	31	one	one	NUM
ejpam-2260	117	32	-	-	PUNCT
ejpam-2260	117	33	parameter	parameter	NOUN
ejpam-2260	117	34	subgroups	subgroup	NOUN
ejpam-2260	117	35	,	,	PUNCT
ejpam-2260	117	36	yields	yield	VERB
ejpam-2260	117	37	a	a	DET
ejpam-2260	117	38	proper	proper	ADJ
ejpam-2260	117	39	generalized	generalized	ADJ
ejpam-2260	117	40	berwald	berwald	NOUN
ejpam-2260	117	41	manifold	manifold	ADJ
ejpam-2260	117	42	.	.	PUNCT
ejpam-2260	118	1	let	let	VERB
ejpam-2260	118	2	g	g	NOUN
ejpam-2260	118	3	=	=	PRON
ejpam-2260	118	4	{	{	PUNCT
ejpam-2260	118	5	(	(	PUNCT
ejpam-2260	118	6	g1	g1	PROPN
ejpam-2260	118	7	,	,	PUNCT
ejpam-2260	118	8	g2	g2	PROPN
ejpam-2260	118	9	)	)	PUNCT
ejpam-2260	118	10	∈	∈	PROPN
ejpam-2260	118	11	r2	r2	NOUN
ejpam-2260	118	12	|	|	ADV
ejpam-2260	118	13	g2	g2	PROPN
ejpam-2260	118	14	>	>	X
ejpam-2260	118	15	0	0	NUM
ejpam-2260	118	16	}	}	PUNCT
ejpam-2260	118	17	and	and	CCONJ
ejpam-2260	118	18	define	define	VERB
ejpam-2260	118	19	a	a	DET
ejpam-2260	118	20	multiplication	multiplication	NOUN
ejpam-2260	118	21	on	on	ADP
ejpam-2260	118	22	it	it	PRON
ejpam-2260	118	23	by	by	ADP
ejpam-2260	118	24	(	(	PUNCT
ejpam-2260	118	25	g1	g1	NOUN
ejpam-2260	118	26	,	,	PUNCT
ejpam-2260	118	27	g2)×	g2)×	X
ejpam-2260	118	28	(	(	PUNCT
ejpam-2260	118	29	h1,h2	h1,h2	PROPN
ejpam-2260	118	30	)	)	PUNCT
ejpam-2260	118	31	:	:	PUNCT
ejpam-2260	119	1	=	=	SYM
ejpam-2260	119	2	(	(	PUNCT
ejpam-2260	119	3	h1	h1	PROPN
ejpam-2260	119	4	g2	g2	PROPN
ejpam-2260	119	5	+	+	CCONJ
ejpam-2260	119	6	g1	g1	NOUN
ejpam-2260	119	7	,	,	PUNCT
ejpam-2260	119	8	g2h2	g2h2	NOUN
ejpam-2260	119	9	)	)	PUNCT
ejpam-2260	119	10	,	,	PUNCT
ejpam-2260	119	11	(	(	PUNCT
ejpam-2260	119	12	g1	g1	PROPN
ejpam-2260	119	13	,	,	PUNCT
ejpam-2260	119	14	g2	g2	PROPN
ejpam-2260	119	15	)	)	PUNCT
ejpam-2260	119	16	,	,	PUNCT
ejpam-2260	119	17	(	(	PUNCT
ejpam-2260	119	18	h1,h2	h1,h2	PROPN
ejpam-2260	119	19	)	)	PUNCT
ejpam-2260	119	20	∈	∈	PROPN
ejpam-2260	119	21	g.	g.	PROPN
ejpam-2260	119	22	b.	b.	PROPN
ejpam-2260	119	23	aradi	aradi	PROPN
ejpam-2260	119	24	/	/	SYM
ejpam-2260	119	25	eur	eur	PROPN
ejpam-2260	119	26	.	.	PUNCT
ejpam-2260	120	1	j.	j.	PROPN
ejpam-2260	120	2	pure	pure	PROPN
ejpam-2260	120	3	appl	appl	PROPN
ejpam-2260	120	4	.	.	PROPN
ejpam-2260	120	5	math	math	PROPN
ejpam-2260	120	6	,	,	PUNCT
ejpam-2260	120	7	8	8	NUM
ejpam-2260	120	8	(	(	PUNCT
ejpam-2260	120	9	2015	2015	NUM
ejpam-2260	120	10	)	)	PUNCT
ejpam-2260	120	11	,	,	PUNCT
ejpam-2260	120	12	118	118	NUM
ejpam-2260	120	13	-	-	SYM
ejpam-2260	120	14	125	125	NUM
ejpam-2260	120	15	123	123	NUM
ejpam-2260	120	16	then	then	ADV
ejpam-2260	120	17	g	g	PROPN
ejpam-2260	120	18	is	be	AUX
ejpam-2260	120	19	a	a	DET
ejpam-2260	120	20	lie	lie	NOUN
ejpam-2260	120	21	group	group	NOUN
ejpam-2260	120	22	with	with	ADP
ejpam-2260	120	23	identity	identity	NOUN
ejpam-2260	120	24	element	element	NOUN
ejpam-2260	120	25	e	e	NOUN
ejpam-2260	120	26	=	=	PUNCT
ejpam-2260	120	27	(	(	PUNCT
ejpam-2260	120	28	0,1	0,1	NUM
ejpam-2260	120	29	)	)	PUNCT
ejpam-2260	120	30	;	;	PUNCT
ejpam-2260	120	31	the	the	DET
ejpam-2260	120	32	inverse	inverse	NOUN
ejpam-2260	120	33	of	of	ADP
ejpam-2260	120	34	an	an	DET
ejpam-2260	120	35	element	element	NOUN
ejpam-2260	120	36	(	(	PUNCT
ejpam-2260	120	37	g1	g1	PROPN
ejpam-2260	120	38	,	,	PUNCT
ejpam-2260	120	39	g2	g2	PROPN
ejpam-2260	120	40	)	)	PUNCT
ejpam-2260	120	41	is	be	AUX
ejpam-2260	120	42	(	(	PUNCT
ejpam-2260	120	43	g1	g1	X
ejpam-2260	120	44	,	,	PUNCT
ejpam-2260	120	45	g2)−1	g2)−1	VERB
ejpam-2260	120	46	=	=	SYM
ejpam-2260	120	47	�	�	PROPN
ejpam-2260	120	48	−	−	PROPN
ejpam-2260	120	49	g1	g1	PROPN
ejpam-2260	120	50	g2	g2	PROPN
ejpam-2260	120	51	,	,	PUNCT
ejpam-2260	120	52	1	1	NUM
ejpam-2260	120	53	g2	g2	PROPN
ejpam-2260	120	54	�	�	PROPN
ejpam-2260	120	55	.	.	PUNCT
ejpam-2260	121	1	first	first	ADV
ejpam-2260	121	2	we	we	PRON
ejpam-2260	121	3	calculate	calculate	VERB
ejpam-2260	121	4	the	the	DET
ejpam-2260	121	5	derivative	derivative	NOUN
ejpam-2260	121	6	of	of	ADP
ejpam-2260	121	7	a	a	DET
ejpam-2260	121	8	left	left	ADJ
ejpam-2260	121	9	translation	translation	NOUN
ejpam-2260	121	10	λg	λg	NOUN
ejpam-2260	121	11	,	,	PUNCT
ejpam-2260	121	12	where	where	SCONJ
ejpam-2260	121	13	g	g	NOUN
ejpam-2260	121	14	:	:	PUNCT
ejpam-2260	121	15	=	=	SYM
ejpam-2260	121	16	(	(	PUNCT
ejpam-2260	121	17	a	a	DET
ejpam-2260	121	18	,	,	PUNCT
ejpam-2260	121	19	b	b	NOUN
ejpam-2260	121	20	)	)	PUNCT
ejpam-2260	121	21	.	.	PUNCT
ejpam-2260	122	1	consider	consider	VERB
ejpam-2260	122	2	a	a	DET
ejpam-2260	122	3	tangent	tangent	ADJ
ejpam-2260	122	4	vector	vector	NOUN
ejpam-2260	122	5	v	v	PROPN
ejpam-2260	122	6	∈	∈	PROPN
ejpam-2260	122	7	tpg	tpg	NOUN
ejpam-2260	122	8	(	(	PUNCT
ejpam-2260	122	9	p	p	NOUN
ejpam-2260	122	10	∈	∈	PROPN
ejpam-2260	122	11	g	g	NOUN
ejpam-2260	122	12	)	)	PUNCT
ejpam-2260	122	13	and	and	CCONJ
ejpam-2260	122	14	let	let	VERB
ejpam-2260	122	15	i	i	PRON
ejpam-2260	122	16	be	be	AUX
ejpam-2260	122	17	an	an	DET
ejpam-2260	122	18	open	open	ADJ
ejpam-2260	122	19	interval	interval	NOUN
ejpam-2260	122	20	containing	contain	VERB
ejpam-2260	122	21	0	0	NUM
ejpam-2260	122	22	.	.	PUNCT
ejpam-2260	123	1	choose	choose	VERB
ejpam-2260	123	2	a	a	DET
ejpam-2260	123	3	curve	curve	NOUN
ejpam-2260	123	4	γ=	γ=	PROPN
ejpam-2260	123	5	(	(	PUNCT
ejpam-2260	123	6	γ1,γ2	γ1,γ2	PROPN
ejpam-2260	123	7	):	):	PUNCT
ejpam-2260	123	8	i	i	PROPN
ejpam-2260	123	9	→	→	PUNCT
ejpam-2260	123	10	g	g	PROPN
ejpam-2260	123	11	such	such	ADJ
ejpam-2260	123	12	that	that	PRON
ejpam-2260	123	13	γ̇(0	γ̇(0	NUM
ejpam-2260	123	14	)	)	PUNCT
ejpam-2260	123	15	=	=	PUNCT
ejpam-2260	124	1	v.	v.	CCONJ
ejpam-2260	124	2	then	then	ADV
ejpam-2260	124	3	for	for	ADP
ejpam-2260	124	4	some	some	DET
ejpam-2260	124	5	t	t	NOUN
ejpam-2260	124	6	∈	∈	NOUN
ejpam-2260	124	7	i	i	PRON
ejpam-2260	124	8	we	we	PRON
ejpam-2260	124	9	have	have	VERB
ejpam-2260	124	10	λg(γ(t	λg(γ(t	NOUN
ejpam-2260	124	11	)	)	PUNCT
ejpam-2260	124	12	)	)	PUNCT
ejpam-2260	125	1	=	=	PUNCT
ejpam-2260	125	2	g	g	ADP
ejpam-2260	125	3	×	×	NOUN
ejpam-2260	125	4	(	(	PUNCT
ejpam-2260	125	5	γ1(t),γ2(t	γ1(t),γ2(t	NOUN
ejpam-2260	125	6	)	)	PUNCT
ejpam-2260	125	7	)	)	PUNCT
ejpam-2260	126	1	=	=	SYM
ejpam-2260	126	2	(	(	PUNCT
ejpam-2260	126	3	bγ1(t	bγ1(t	PROPN
ejpam-2260	126	4	)	)	PUNCT
ejpam-2260	126	5	+	+	CCONJ
ejpam-2260	126	6	a	a	DET
ejpam-2260	126	7	,	,	PUNCT
ejpam-2260	126	8	bγ2(t	bγ2(t	NOUN
ejpam-2260	126	9	)	)	PUNCT
ejpam-2260	126	10	)	)	PUNCT
ejpam-2260	126	11	,	,	PUNCT
ejpam-2260	126	12	thus	thus	ADV
ejpam-2260	126	13	(	(	PUNCT
ejpam-2260	126	14	λg)∗(v	λg)∗(v	NOUN
ejpam-2260	126	15	)	)	PUNCT
ejpam-2260	126	16	=	=	SYM
ejpam-2260	126	17	(	(	PUNCT
ejpam-2260	126	18	λg)∗(γ̇(0	λg)∗(γ̇(0	ADV
ejpam-2260	126	19	)	)	PUNCT
ejpam-2260	126	20	)	)	PUNCT
ejpam-2260	127	1	=	=	PUNCT
ejpam-2260	127	2	�	�	PROPN
ejpam-2260	127	3	t	t	PROPN
ejpam-2260	127	4	7→	7→	NUM
ejpam-2260	127	5	λg(γ(t	λg(γ(t	NOUN
ejpam-2260	127	6	)	)	PUNCT
ejpam-2260	127	7	)	)	PUNCT
ejpam-2260	127	8	�	�	PROPN
ejpam-2260	127	9	′	′	NUM
ejpam-2260	127	10	(	(	PUNCT
ejpam-2260	127	11	0	0	NUM
ejpam-2260	127	12	)	)	PUNCT
ejpam-2260	127	13	=	=	SYM
ejpam-2260	127	14	(	(	PUNCT
ejpam-2260	127	15	bγ1′(0	bγ1′(0	NOUN
ejpam-2260	127	16	)	)	PUNCT
ejpam-2260	127	17	,	,	PUNCT
ejpam-2260	127	18	bγ2′(0	bγ2′(0	NOUN
ejpam-2260	127	19	)	)	PUNCT
ejpam-2260	127	20	)	)	PUNCT
ejpam-2260	128	1	=	=	SYM
ejpam-2260	128	2	bv	bv	PROPN
ejpam-2260	128	3	.	.	PROPN
ejpam-2260	128	4	(	(	PUNCT
ejpam-2260	128	5	9	9	NUM
ejpam-2260	128	6	)	)	PUNCT
ejpam-2260	128	7	now	now	ADV
ejpam-2260	128	8	we	we	PRON
ejpam-2260	128	9	define	define	VERB
ejpam-2260	128	10	an	an	DET
ejpam-2260	128	11	appropriate	appropriate	ADJ
ejpam-2260	128	12	finsler	finsler	NOUN
ejpam-2260	128	13	function	function	NOUN
ejpam-2260	128	14	f	f	PROPN
ejpam-2260	128	15	on	on	ADP
ejpam-2260	128	16	t	t	PROPN
ejpam-2260	128	17	g.	g.	PROPN
ejpam-2260	128	18	let	let	VERB
ejpam-2260	128	19	αp(v	αp(v	NUM
ejpam-2260	128	20	,	,	PUNCT
ejpam-2260	128	21	w	w	NOUN
ejpam-2260	128	22	)	)	PUNCT
ejpam-2260	128	23	:	:	PUNCT
ejpam-2260	128	24	=	=	SYM
ejpam-2260	128	25	1	1	NUM
ejpam-2260	128	26	(	(	PUNCT
ejpam-2260	128	27	p2)2	p2)2	PART
ejpam-2260	128	28	(	(	PUNCT
ejpam-2260	128	29	v1v2	v1v2	NOUN
ejpam-2260	128	30	)	)	PUNCT
ejpam-2260	128	31	�	�	NOUN
ejpam-2260	128	32	2	2	NUM
ejpam-2260	128	33	1	1	NUM
ejpam-2260	128	34	1	1	NUM
ejpam-2260	128	35	2	2	NUM
ejpam-2260	128	36	�	�	PROPN
ejpam-2260	128	37	�	�	PROPN
ejpam-2260	128	38	w1	w1	PROPN
ejpam-2260	128	39	w2	w2	PROPN
ejpam-2260	128	40	�	�	PROPN
ejpam-2260	128	41	,	,	PUNCT
ejpam-2260	128	42	βp(v	βp(v	PUNCT
ejpam-2260	128	43	)	)	PUNCT
ejpam-2260	128	44	:	:	PUNCT
ejpam-2260	129	1	=	=	SYM
ejpam-2260	129	2	1	1	NUM
ejpam-2260	129	3	p2	p2	NOUN
ejpam-2260	129	4	(	(	PUNCT
ejpam-2260	129	5	v1	v1	NOUN
ejpam-2260	129	6	+	+	CCONJ
ejpam-2260	129	7	v2	v2	NOUN
ejpam-2260	129	8	)	)	PUNCT
ejpam-2260	129	9	,	,	PUNCT
ejpam-2260	129	10	and	and	CCONJ
ejpam-2260	129	11	f(v	f(v	NOUN
ejpam-2260	129	12	)	)	PUNCT
ejpam-2260	129	13	:	:	PUNCT
ejpam-2260	130	1	=	=	SYM
ejpam-2260	130	2	q	q	X
ejpam-2260	130	3	αp(v	αp(v	NUM
ejpam-2260	130	4	,	,	PUNCT
ejpam-2260	130	5	v	v	NOUN
ejpam-2260	130	6	)	)	PUNCT
ejpam-2260	130	7	+	+	NUM
ejpam-2260	130	8	βp(v	βp(v	NOUN
ejpam-2260	130	9	)	)	PUNCT
ejpam-2260	130	10	=	=	SYM
ejpam-2260	130	11	1	1	NUM
ejpam-2260	130	12	p2	p2	PROPN
ejpam-2260	130	13	�	�	PROPN
ejpam-2260	130	14	æ	æ	PROPN
ejpam-2260	130	15	2(v1)2	2(v1)2	ADJ
ejpam-2260	130	16	+	+	PROPN
ejpam-2260	130	17	2v1v2	2v1v2	NUM
ejpam-2260	130	18	+	+	CCONJ
ejpam-2260	130	19	2(v2)2	2(v2)2	NUM
ejpam-2260	130	20	+	+	CCONJ
ejpam-2260	130	21	v1	v1	NOUN
ejpam-2260	130	22	+	+	CCONJ
ejpam-2260	130	23	v2	v2	PROPN
ejpam-2260	130	24	�	�	PROPN
ejpam-2260	130	25	,	,	PUNCT
ejpam-2260	130	26	where	where	SCONJ
ejpam-2260	130	27	v	v	NOUN
ejpam-2260	130	28	=	=	SYM
ejpam-2260	130	29	(	(	PUNCT
ejpam-2260	130	30	v1	v1	NOUN
ejpam-2260	130	31	,	,	PUNCT
ejpam-2260	130	32	v2	v2	PROPN
ejpam-2260	130	33	)	)	PUNCT
ejpam-2260	130	34	,	,	PUNCT
ejpam-2260	130	35	w=	w=	PROPN
ejpam-2260	130	36	(	(	PUNCT
ejpam-2260	130	37	w1	w1	NOUN
ejpam-2260	130	38	,	,	PUNCT
ejpam-2260	130	39	w2	w2	NOUN
ejpam-2260	130	40	)	)	PUNCT
ejpam-2260	130	41	∈	∈	PROPN
ejpam-2260	130	42	tpg	tpg	NOUN
ejpam-2260	130	43	and	and	CCONJ
ejpam-2260	130	44	p	p	NOUN
ejpam-2260	130	45	=	=	PUNCT
ejpam-2260	130	46	(	(	PUNCT
ejpam-2260	130	47	p1	p1	PROPN
ejpam-2260	130	48	,	,	PUNCT
ejpam-2260	130	49	p2	p2	NOUN
ejpam-2260	130	50	)	)	PUNCT
ejpam-2260	130	51	∈	∈	PROPN
ejpam-2260	130	52	g.	g.	NOUN
ejpam-2260	130	53	since	since	SCONJ
ejpam-2260	130	54	‖β‖α(p	‖β‖α(p	PROPN
ejpam-2260	130	55	)	)	PUNCT
ejpam-2260	130	56	=	=	PUNCT
ejpam-2260	130	57	q	q	X
ejpam-2260	130	58	αi	αi	PRON
ejpam-2260	130	59	j(p)βi(p)β	j(p)βi(p)β	PUNCT
ejpam-2260	130	60	j(p	j(p	PROPN
ejpam-2260	130	61	)	)	PUNCT
ejpam-2260	131	1	=	=	SYM
ejpam-2260	131	2	√√√	√√√	PROPN
ejpam-2260	131	3	(	(	PUNCT
ejpam-2260	131	4	p2)2	p2)2	SYM
ejpam-2260	131	5	3	3	NUM
ejpam-2260	131	6	�	�	PROPN
ejpam-2260	131	7	2	2	NUM
ejpam-2260	131	8	·	·	SYM
ejpam-2260	131	9	1	1	NUM
ejpam-2260	131	10	(	(	PUNCT
ejpam-2260	131	11	p2)2	p2)2	PART
ejpam-2260	131	12	−	−	PROPN
ejpam-2260	131	13	1	1	NUM
ejpam-2260	131	14	(	(	PUNCT
ejpam-2260	131	15	p2)2	p2)2	PART
ejpam-2260	131	16	−	−	PROPN
ejpam-2260	131	17	1	1	NUM
ejpam-2260	131	18	(	(	PUNCT
ejpam-2260	131	19	p2)2	p2)2	SYM
ejpam-2260	131	20	+	+	NOUN
ejpam-2260	131	21	2	2	NUM
ejpam-2260	131	22	·	·	SYM
ejpam-2260	131	23	1	1	NUM
ejpam-2260	131	24	(	(	PUNCT
ejpam-2260	131	25	p2)2	p2)2	PART
ejpam-2260	131	26	�	�	PROPN
ejpam-2260	131	27	=	=	SYM
ejpam-2260	131	28	√√2	√√2	ADP
ejpam-2260	131	29	3	3	NUM
ejpam-2260	131	30	<	<	X
ejpam-2260	131	31	1	1	NUM
ejpam-2260	131	32	,	,	PUNCT
ejpam-2260	131	33	f	f	PROPN
ejpam-2260	131	34	is	be	AUX
ejpam-2260	131	35	in	in	ADP
ejpam-2260	131	36	fact	fact	NOUN
ejpam-2260	131	37	a	a	DET
ejpam-2260	131	38	randers	rander	NOUN
ejpam-2260	131	39	function	function	VERB
ejpam-2260	131	40	[	[	X
ejpam-2260	131	41	14	14	NUM
ejpam-2260	131	42	,	,	PUNCT
ejpam-2260	131	43	lemma	lemma	PROPN
ejpam-2260	131	44	and	and	CCONJ
ejpam-2260	131	45	definition	definition	NOUN
ejpam-2260	131	46	9.6.2	9.6.2	NOUN
ejpam-2260	131	47	]	]	PUNCT
ejpam-2260	131	48	.	.	PUNCT
ejpam-2260	132	1	this	this	DET
ejpam-2260	132	2	randers	rander	NOUN
ejpam-2260	132	3	function	function	VERB
ejpam-2260	132	4	f	f	PROPN
ejpam-2260	132	5	is	be	AUX
ejpam-2260	132	6	left	leave	VERB
ejpam-2260	132	7	invariant	invariant	ADJ
ejpam-2260	132	8	.	.	PUNCT
ejpam-2260	133	1	to	to	PART
ejpam-2260	133	2	see	see	VERB
ejpam-2260	133	3	this	this	PRON
ejpam-2260	133	4	let	let	VERB
ejpam-2260	133	5	g	g	NOUN
ejpam-2260	133	6	=	=	PUNCT
ejpam-2260	133	7	(	(	PUNCT
ejpam-2260	133	8	a	a	PRON
ejpam-2260	133	9	,	,	PUNCT
ejpam-2260	133	10	b	b	NOUN
ejpam-2260	133	11	)	)	PUNCT
ejpam-2260	133	12	∈	∈	PROPN
ejpam-2260	133	13	g	g	NOUN
ejpam-2260	133	14	and	and	CCONJ
ejpam-2260	133	15	v	v	ADP
ejpam-2260	133	16	∈	∈	PROPN
ejpam-2260	133	17	tpg	tpg	NOUN
ejpam-2260	133	18	.	.	PUNCT
ejpam-2260	134	1	then	then	ADV
ejpam-2260	134	2	f((λg)∗(v	f((λg)∗(v	PROPN
ejpam-2260	134	3	)	)	PUNCT
ejpam-2260	134	4	)	)	PUNCT
ejpam-2260	135	1	=	=	SYM
ejpam-2260	135	2	fg×p((λ(a	fg×p((λ(a	NOUN
ejpam-2260	135	3	,	,	PUNCT
ejpam-2260	135	4	b))∗(v	b))∗(v	NOUN
ejpam-2260	135	5	)	)	PUNCT
ejpam-2260	135	6	)	)	PUNCT
ejpam-2260	135	7	(	(	PUNCT
ejpam-2260	135	8	9	9	X
ejpam-2260	135	9	)	)	PUNCT
ejpam-2260	135	10	=	=	NOUN
ejpam-2260	135	11	f(p1	f(p1	NOUN
ejpam-2260	135	12	b+a	b+a	PROPN
ejpam-2260	135	13	,	,	PUNCT
ejpam-2260	135	14	bp2)(bv	bp2)(bv	NOUN
ejpam-2260	135	15	)	)	PUNCT
ejpam-2260	135	16	=	=	SYM
ejpam-2260	135	17	1	1	NUM
ejpam-2260	135	18	bp2	bp2	PROPN
ejpam-2260	135	19	�	�	PROPN
ejpam-2260	135	20	æ	æ	PROPN
ejpam-2260	135	21	2b2(v1)2	2b2(v1)2	NUM
ejpam-2260	135	22	+	+	CCONJ
ejpam-2260	135	23	2b2v1v2	2b2v1v2	NUM
ejpam-2260	135	24	+	+	NUM
ejpam-2260	135	25	2b2(v2)2	2b2(v2)2	NUM
ejpam-2260	135	26	+	+	CCONJ
ejpam-2260	135	27	bv1	bv1	NOUN
ejpam-2260	135	28	+	+	CCONJ
ejpam-2260	135	29	bv2	bv2	NOUN
ejpam-2260	135	30	�	�	NOUN
ejpam-2260	135	31	=	=	SYM
ejpam-2260	135	32	1	1	NUM
ejpam-2260	135	33	p2	p2	PROPN
ejpam-2260	135	34	�	�	PROPN
ejpam-2260	135	35	æ	æ	PROPN
ejpam-2260	135	36	2(v1)2	2(v1)2	ADJ
ejpam-2260	135	37	+	+	PROPN
ejpam-2260	135	38	2v1v2	2v1v2	NUM
ejpam-2260	135	39	+	+	CCONJ
ejpam-2260	135	40	2(v2)2	2(v2)2	NUM
ejpam-2260	135	41	+	+	CCONJ
ejpam-2260	135	42	v1	v1	NOUN
ejpam-2260	135	43	+	+	CCONJ
ejpam-2260	135	44	v2	v2	PROPN
ejpam-2260	135	45	�	�	NOUN
ejpam-2260	135	46	=	=	NOUN
ejpam-2260	135	47	f(v	f(v	NOUN
ejpam-2260	135	48	)	)	PUNCT
ejpam-2260	135	49	,	,	PUNCT
ejpam-2260	135	50	as	as	SCONJ
ejpam-2260	135	51	we	we	PRON
ejpam-2260	135	52	claimed	claim	VERB
ejpam-2260	135	53	.	.	PUNCT
ejpam-2260	136	1	thus	thus	ADV
ejpam-2260	136	2	(	(	PUNCT
ejpam-2260	136	3	g	g	NOUN
ejpam-2260	136	4	,	,	PUNCT
ejpam-2260	136	5	f	f	X
ejpam-2260	136	6	)	)	PUNCT
ejpam-2260	136	7	is	be	AUX
ejpam-2260	136	8	a	a	DET
ejpam-2260	136	9	generalized	generalized	ADJ
ejpam-2260	136	10	berwald	berwald	NOUN
ejpam-2260	136	11	manifold	manifold	ADJ
ejpam-2260	136	12	by	by	ADP
ejpam-2260	136	13	theorem	theorem	NOUN
ejpam-2260	136	14	1	1	NUM
ejpam-2260	136	15	.	.	PUNCT
ejpam-2260	137	1	finally	finally	ADV
ejpam-2260	137	2	,	,	PUNCT
ejpam-2260	137	3	we	we	PRON
ejpam-2260	137	4	show	show	VERB
ejpam-2260	137	5	that	that	SCONJ
ejpam-2260	137	6	∇β	∇β	PROPN
ejpam-2260	137	7	6=	6=	ADP
ejpam-2260	137	8	0	0	NUM
ejpam-2260	137	9	,	,	PUNCT
ejpam-2260	137	10	where	where	SCONJ
ejpam-2260	137	11	∇	∇	PROPN
ejpam-2260	137	12	is	be	AUX
ejpam-2260	137	13	the	the	DET
ejpam-2260	137	14	levi	levi	PROPN
ejpam-2260	137	15	-	-	PUNCT
ejpam-2260	137	16	civita	civita	PROPN
ejpam-2260	137	17	derivative	derivative	NOUN
ejpam-2260	137	18	of	of	ADP
ejpam-2260	137	19	α	α	NOUN
ejpam-2260	137	20	,	,	PUNCT
ejpam-2260	137	21	and	and	CCONJ
ejpam-2260	137	22	hence	hence	ADV
ejpam-2260	137	23	,	,	PUNCT
ejpam-2260	137	24	by	by	ADP
ejpam-2260	137	25	a	a	DET
ejpam-2260	137	26	nice	nice	ADJ
ejpam-2260	137	27	theorem	theorem	NOUN
ejpam-2260	137	28	of	of	ADP
ejpam-2260	137	29	m.	m.	NOUN
ejpam-2260	137	30	crampin	crampin	NOUN
ejpam-2260	137	31	[	[	X
ejpam-2260	137	32	3	3	NUM
ejpam-2260	137	33	]	]	PUNCT
ejpam-2260	137	34	,	,	PUNCT
ejpam-2260	137	35	(	(	PUNCT
ejpam-2260	137	36	g	g	NOUN
ejpam-2260	137	37	,	,	PUNCT
ejpam-2260	137	38	f	f	X
ejpam-2260	137	39	)	)	PUNCT
ejpam-2260	137	40	is	be	AUX
ejpam-2260	137	41	surely	surely	ADV
ejpam-2260	137	42	not	not	PART
ejpam-2260	137	43	a	a	DET
ejpam-2260	137	44	berwald	berwald	NOUN
ejpam-2260	137	45	manifold	manifold	ADJ
ejpam-2260	137	46	.	.	PUNCT
ejpam-2260	138	1	indeed	indeed	ADV
ejpam-2260	138	2	,	,	PUNCT
ejpam-2260	138	3	the	the	DET
ejpam-2260	138	4	christoffel	christoffel	ADJ
ejpam-2260	138	5	symbols	symbol	NOUN
ejpam-2260	138	6	of	of	ADP
ejpam-2260	138	7	the	the	DET
ejpam-2260	138	8	riemannian	riemannian	ADJ
ejpam-2260	138	9	metric	metric	PROPN
ejpam-2260	138	10	α	α	PROPN
ejpam-2260	138	11	are	be	AUX
ejpam-2260	138	12	γ1	γ1	NOUN
ejpam-2260	138	13	11	11	NUM
ejpam-2260	138	14	=	=	SYM
ejpam-2260	138	15	−	−	NUM
ejpam-2260	138	16	2	2	NUM
ejpam-2260	138	17	3	3	NUM
ejpam-2260	138	18	1	1	NUM
ejpam-2260	138	19	e2	e2	NOUN
ejpam-2260	138	20	,	,	PUNCT
ejpam-2260	138	21	γ1	γ1	NOUN
ejpam-2260	138	22	12	12	NUM
ejpam-2260	138	23	=	=	SYM
ejpam-2260	138	24	−	−	PROPN
ejpam-2260	138	25	4	4	NUM
ejpam-2260	138	26	3	3	NUM
ejpam-2260	138	27	1	1	NUM
ejpam-2260	138	28	e2	e2	NOUN
ejpam-2260	138	29	,	,	PUNCT
ejpam-2260	138	30	γ1	γ1	NOUN
ejpam-2260	138	31	22	22	NUM
ejpam-2260	138	32	=	=	SYM
ejpam-2260	138	33	−	−	PROPN
ejpam-2260	138	34	2	2	NUM
ejpam-2260	138	35	3	3	NUM
ejpam-2260	138	36	1	1	NUM
ejpam-2260	138	37	e2	e2	NOUN
ejpam-2260	138	38	,	,	PUNCT
ejpam-2260	138	39	γ2	γ2	PROPN
ejpam-2260	138	40	11	11	NUM
ejpam-2260	138	41	=	=	SYM
ejpam-2260	138	42	4	4	NUM
ejpam-2260	138	43	3	3	NUM
ejpam-2260	138	44	1	1	NUM
ejpam-2260	138	45	e2	e2	NOUN
ejpam-2260	138	46	,	,	PUNCT
ejpam-2260	138	47	γ2	γ2	NOUN
ejpam-2260	138	48	12	12	NUM
ejpam-2260	138	49	=	=	SYM
ejpam-2260	138	50	2	2	NUM
ejpam-2260	138	51	3	3	NUM
ejpam-2260	138	52	1	1	NUM
ejpam-2260	138	53	e2	e2	NOUN
ejpam-2260	138	54	,	,	PUNCT
ejpam-2260	138	55	γ2	γ2	PROPN
ejpam-2260	138	56	22	22	NUM
ejpam-2260	138	57	=	=	SYM
ejpam-2260	138	58	−	−	PROPN
ejpam-2260	138	59	2	2	NUM
ejpam-2260	138	60	3	3	NUM
ejpam-2260	138	61	1	1	NUM
ejpam-2260	138	62	e2	e2	NOUN
ejpam-2260	138	63	,	,	PUNCT
ejpam-2260	138	64	references	reference	NOUN
ejpam-2260	138	65	124	124	NUM
ejpam-2260	138	66	where	where	SCONJ
ejpam-2260	138	67	(	(	PUNCT
ejpam-2260	138	68	e1	e1	PROPN
ejpam-2260	138	69	,	,	PUNCT
ejpam-2260	138	70	e2	e2	PROPN
ejpam-2260	138	71	)	)	PUNCT
ejpam-2260	138	72	is	be	AUX
ejpam-2260	138	73	the	the	DET
ejpam-2260	138	74	dual	dual	ADJ
ejpam-2260	138	75	of	of	ADP
ejpam-2260	138	76	the	the	DET
ejpam-2260	138	77	canonical	canonical	ADJ
ejpam-2260	138	78	basis	basis	NOUN
ejpam-2260	138	79	of	of	ADP
ejpam-2260	138	80	r2	r2	PROPN
ejpam-2260	138	81	.	.	PUNCT
ejpam-2260	139	1	thus	thus	ADV
ejpam-2260	139	2	,	,	PUNCT
ejpam-2260	139	3	for	for	ADP
ejpam-2260	139	4	example	example	NOUN
ejpam-2260	139	5	,	,	PUNCT
ejpam-2260	139	6	∇β	∇β	PROPN
ejpam-2260	139	7	�	�	PROPN
ejpam-2260	139	8	∂	∂	NUM
ejpam-2260	139	9	∂	∂	NUM
ejpam-2260	139	10	e1	e1	PROPN
ejpam-2260	139	11	,	,	PUNCT
ejpam-2260	139	12	∂	∂	NUM
ejpam-2260	139	13	∂	∂	NUM
ejpam-2260	139	14	e1	e1	PROPN
ejpam-2260	139	15	�	�	PROPN
ejpam-2260	139	16	=	=	SYM
ejpam-2260	139	17	∂	∂	NUM
ejpam-2260	139	18	∂	∂	NUM
ejpam-2260	139	19	e1	e1	PROPN
ejpam-2260	139	20	�	�	PROPN
ejpam-2260	139	21	β	β	X
ejpam-2260	139	22	�	�	PROPN
ejpam-2260	139	23	∂	∂	NUM
ejpam-2260	139	24	∂	∂	NUM
ejpam-2260	139	25	e1	e1	PROPN
ejpam-2260	139	26	�	�	PROPN
ejpam-2260	139	27	�	�	PROPN
ejpam-2260	139	28	−	−	PROPN
ejpam-2260	139	29	β	β	X
ejpam-2260	139	30	�	�	PROPN
ejpam-2260	139	31	γ1	γ1	PROPN
ejpam-2260	139	32	11	11	NUM
ejpam-2260	139	33	∂	∂	NUM
ejpam-2260	139	34	∂	∂	NUM
ejpam-2260	139	35	e1	e1	PROPN
ejpam-2260	139	36	�	�	PROPN
ejpam-2260	139	37	−	−	PROPN
ejpam-2260	139	38	β	β	X
ejpam-2260	139	39	�	�	PROPN
ejpam-2260	139	40	γ2	γ2	PROPN
ejpam-2260	139	41	11	11	NUM
ejpam-2260	139	42	∂	∂	NUM
ejpam-2260	139	43	∂	∂	NUM
ejpam-2260	139	44	e2	e2	PROPN
ejpam-2260	139	45	�	�	PROPN
ejpam-2260	139	46	=	=	SYM
ejpam-2260	139	47	∂	∂	NUM
ejpam-2260	139	48	∂	∂	NUM
ejpam-2260	139	49	e1	e1	PROPN
ejpam-2260	139	50	�	�	PROPN
ejpam-2260	139	51	1	1	NUM
ejpam-2260	139	52	e2	e2	PROPN
ejpam-2260	139	53	�	�	PROPN
ejpam-2260	139	54	−	−	PROPN
ejpam-2260	139	55	γ1	γ1	PROPN
ejpam-2260	139	56	11	11	NUM
ejpam-2260	139	57	1	1	NUM
ejpam-2260	139	58	e2	e2	PROPN
ejpam-2260	139	59	−	−	PROPN
ejpam-2260	139	60	γ2	γ2	ADJ
ejpam-2260	139	61	11	11	NUM
ejpam-2260	139	62	1	1	NUM
ejpam-2260	139	63	e2	e2	NOUN
ejpam-2260	139	64	=	=	PUNCT
ejpam-2260	140	1	−	−	PROPN
ejpam-2260	140	2	2	2	NUM
ejpam-2260	140	3	3	3	NUM
ejpam-2260	140	4	1	1	NUM
ejpam-2260	140	5	(	(	PUNCT
ejpam-2260	140	6	e2)2	e2)2	NOUN
ejpam-2260	140	7	6=	6=	ADP
ejpam-2260	140	8	0	0	NUM
ejpam-2260	140	9	.	.	PUNCT
ejpam-2260	140	10	acknowledgements	acknowledgement	NOUN
ejpam-2260	140	11	.	.	PUNCT
ejpam-2260	141	1	i	i	PRON
ejpam-2260	141	2	am	be	AUX
ejpam-2260	141	3	grateful	grateful	ADJ
ejpam-2260	141	4	to	to	ADP
ejpam-2260	141	5	my	my	PRON
ejpam-2260	141	6	supervisor	supervisor	NOUN
ejpam-2260	141	7	,	,	PUNCT
ejpam-2260	141	8	józsef	józsef	PROPN
ejpam-2260	141	9	szilasi	szilasi	PROPN
ejpam-2260	141	10	for	for	ADP
ejpam-2260	141	11	his	his	PRON
ejpam-2260	141	12	valuable	valuable	ADJ
ejpam-2260	141	13	guidance	guidance	NOUN
ejpam-2260	141	14	throughout	throughout	ADP
ejpam-2260	141	15	the	the	DET
ejpam-2260	141	16	work	work	NOUN
ejpam-2260	141	17	.	.	PUNCT
ejpam-2260	142	1	i	i	PRON
ejpam-2260	142	2	would	would	AUX
ejpam-2260	142	3	also	also	ADV
ejpam-2260	142	4	like	like	VERB
ejpam-2260	142	5	to	to	PART
ejpam-2260	142	6	thank	thank	VERB
ejpam-2260	142	7	dávid	dávid	PROPN
ejpam-2260	142	8	csaba	csaba	PROPN
ejpam-2260	142	9	kertész	kertész	PROPN
ejpam-2260	142	10	for	for	ADP
ejpam-2260	142	11	his	his	PRON
ejpam-2260	142	12	useful	useful	ADJ
ejpam-2260	142	13	comments	comment	NOUN
ejpam-2260	142	14	.	.	PUNCT
ejpam-2260	143	1	this	this	DET
ejpam-2260	143	2	research	research	NOUN
ejpam-2260	143	3	was	be	AUX
ejpam-2260	143	4	supported	support	VERB
ejpam-2260	143	5	by	by	ADP
ejpam-2260	143	6	the	the	DET
ejpam-2260	143	7	hungarian	hungarian	PROPN
ejpam-2260	143	8	academy	academy	PROPN
ejpam-2260	143	9	of	of	ADP
ejpam-2260	143	10	sciences	sciences	PROPN
ejpam-2260	143	11	,	,	PUNCT
ejpam-2260	143	12	furthermore	furthermore	ADV
ejpam-2260	143	13	,	,	PUNCT
ejpam-2260	143	14	by	by	ADP
ejpam-2260	143	15	the	the	DET
ejpam-2260	143	16	european	european	PROPN
ejpam-2260	143	17	union	union	PROPN
ejpam-2260	143	18	and	and	CCONJ
ejpam-2260	143	19	the	the	DET
ejpam-2260	143	20	state	state	NOUN
ejpam-2260	143	21	of	of	ADP
ejpam-2260	143	22	hungary	hungary	PROPN
ejpam-2260	143	23	,	,	PUNCT
ejpam-2260	143	24	co	co	VERB
ejpam-2260	143	25	-	-	VERB
ejpam-2260	143	26	financed	finance	VERB
ejpam-2260	143	27	by	by	ADP
ejpam-2260	143	28	the	the	DET
ejpam-2260	143	29	european	european	ADJ
ejpam-2260	143	30	social	social	ADJ
ejpam-2260	143	31	fund	fund	NOUN
ejpam-2260	143	32	in	in	ADP
ejpam-2260	143	33	the	the	DET
ejpam-2260	143	34	framework	framework	NOUN
ejpam-2260	143	35	of	of	ADP
ejpam-2260	143	36	támop	támop	NOUN
ejpam-2260	143	37	4.2.4	4.2.4	NUM
ejpam-2260	143	38	.	.	PUNCT
ejpam-2260	144	1	a/2	a/2	NOUN
ejpam-2260	144	2	-	-	PUNCT
ejpam-2260	144	3	11/1	11/1	NUM
ejpam-2260	144	4	-	-	PUNCT
ejpam-2260	144	5	2012	2012	NUM
ejpam-2260	144	6	-	-	PUNCT
ejpam-2260	144	7	0001	0001	NUM
ejpam-2260	144	8	“	"	PUNCT
ejpam-2260	144	9	national	national	PROPN
ejpam-2260	144	10	excellence	excellence	PROPN
ejpam-2260	144	11	program	program	NOUN
ejpam-2260	144	12	”	"	PUNCT
ejpam-2260	144	13	.	.	PUNCT
ejpam-2260	145	1	references	reference	NOUN
ejpam-2260	145	2	[	[	X
ejpam-2260	145	3	1	1	NUM
ejpam-2260	145	4	]	]	X
ejpam-2260	145	5	b.	b.	PROPN
ejpam-2260	145	6	aradi	aradi	PROPN
ejpam-2260	145	7	and	and	CCONJ
ejpam-2260	145	8	d.	d.	PROPN
ejpam-2260	145	9	cs	cs	PROPN
ejpam-2260	145	10	.	.	PROPN
ejpam-2260	145	11	kertész	kertész	PROPN
ejpam-2260	145	12	.	.	PUNCT
ejpam-2260	146	1	a	a	DET
ejpam-2260	146	2	characterization	characterization	NOUN
ejpam-2260	146	3	of	of	ADP
ejpam-2260	146	4	holonomy	holonomy	NOUN
ejpam-2260	146	5	invariant	invariant	ADJ
ejpam-2260	146	6	functions	function	NOUN
ejpam-2260	146	7	on	on	ADP
ejpam-2260	146	8	tangent	tangent	ADJ
ejpam-2260	146	9	bundles	bundle	NOUN
ejpam-2260	146	10	.	.	PUNCT
ejpam-2260	147	1	balkan	balkan	PROPN
ejpam-2260	147	2	journal	journal	NOUN
ejpam-2260	147	3	of	of	ADP
ejpam-2260	147	4	geometry	geometry	NOUN
ejpam-2260	147	5	and	and	CCONJ
ejpam-2260	147	6	its	its	PRON
ejpam-2260	147	7	applications	application	NOUN
ejpam-2260	147	8	,	,	PUNCT
ejpam-2260	147	9	19	19	NUM
ejpam-2260	147	10	(	(	PUNCT
ejpam-2260	147	11	2):1–10	2):1–10	NUM
ejpam-2260	147	12	,	,	PUNCT
ejpam-2260	147	13	2014	2014	NUM
ejpam-2260	147	14	.	.	PUNCT
ejpam-2260	148	1	[	[	X
ejpam-2260	148	2	2	2	X
ejpam-2260	148	3	]	]	PUNCT
ejpam-2260	148	4	d.	d.	PROPN
ejpam-2260	148	5	bao	bao	PROPN
ejpam-2260	148	6	,	,	PUNCT
ejpam-2260	148	7	s.	s.	PROPN
ejpam-2260	148	8	s.	s.	PROPN
ejpam-2260	148	9	chern	chern	PROPN
ejpam-2260	148	10	,	,	PUNCT
ejpam-2260	148	11	and	and	CCONJ
ejpam-2260	148	12	z.	z.	PROPN
ejpam-2260	148	13	shen	shen	PROPN
ejpam-2260	148	14	.	.	PUNCT
ejpam-2260	149	1	an	an	DET
ejpam-2260	149	2	introduction	introduction	NOUN
ejpam-2260	149	3	to	to	ADP
ejpam-2260	149	4	riemann	riemann	PROPN
ejpam-2260	149	5	–	–	PUNCT
ejpam-2260	149	6	finsler	finsler	NOUN
ejpam-2260	149	7	geometry	geometry	NOUN
ejpam-2260	149	8	.	.	PUNCT
ejpam-2260	150	1	springerverlag	springerverlag	PROPN
ejpam-2260	150	2	,	,	PUNCT
ejpam-2260	150	3	berlin	berlin	PROPN
ejpam-2260	150	4	and	and	CCONJ
ejpam-2260	150	5	new	new	PROPN
ejpam-2260	150	6	york	york	PROPN
ejpam-2260	150	7	,	,	PUNCT
ejpam-2260	150	8	2000	2000	NUM
ejpam-2260	150	9	.	.	PUNCT
ejpam-2260	151	1	[	[	X
ejpam-2260	151	2	3	3	X
ejpam-2260	151	3	]	]	PUNCT
ejpam-2260	151	4	m.	m.	NOUN
ejpam-2260	151	5	crampin	crampin	NOUN
ejpam-2260	151	6	.	.	PUNCT
ejpam-2260	152	1	randers	rander	NOUN
ejpam-2260	152	2	spaces	space	VERB
ejpam-2260	152	3	with	with	ADP
ejpam-2260	152	4	reversible	reversible	ADJ
ejpam-2260	152	5	geodesics	geodesic	NOUN
ejpam-2260	152	6	.	.	PUNCT
ejpam-2260	153	1	publicationes	publicatione	NOUN
ejpam-2260	153	2	mathematicae	mathematicae	PROPN
ejpam-2260	153	3	debrecen	debrecen	PROPN
ejpam-2260	153	4	,	,	PUNCT
ejpam-2260	153	5	67	67	NUM
ejpam-2260	153	6	(	(	PUNCT
ejpam-2260	153	7	3	3	NUM
ejpam-2260	153	8	-	-	SYM
ejpam-2260	153	9	4):401–409	4):401–409	NUM
ejpam-2260	153	10	,	,	PUNCT
ejpam-2260	153	11	2005	2005	NUM
ejpam-2260	153	12	.	.	PUNCT
ejpam-2260	154	1	[	[	X
ejpam-2260	154	2	4	4	NUM
ejpam-2260	154	3	]	]	PUNCT
ejpam-2260	154	4	m.	m.	NOUN
ejpam-2260	154	5	crampin	crampin	NOUN
ejpam-2260	154	6	.	.	PUNCT
ejpam-2260	155	1	on	on	ADP
ejpam-2260	155	2	the	the	DET
ejpam-2260	155	3	construction	construction	NOUN
ejpam-2260	155	4	of	of	ADP
ejpam-2260	155	5	riemannian	riemannian	ADJ
ejpam-2260	155	6	metrics	metric	NOUN
ejpam-2260	155	7	for	for	ADP
ejpam-2260	155	8	berwald	berwald	NOUN
ejpam-2260	155	9	spaces	space	NOUN
ejpam-2260	155	10	by	by	ADP
ejpam-2260	155	11	averaging	average	VERB
ejpam-2260	155	12	.	.	PUNCT
ejpam-2260	156	1	houston	houston	PROPN
ejpam-2260	156	2	journal	journal	PROPN
ejpam-2260	156	3	of	of	ADP
ejpam-2260	156	4	mathematics	mathematic	NOUN
ejpam-2260	156	5	,	,	PUNCT
ejpam-2260	156	6	40	40	NUM
ejpam-2260	156	7	(	(	PUNCT
ejpam-2260	156	8	3):737–750	3):737–750	NUM
ejpam-2260	156	9	,	,	PUNCT
ejpam-2260	156	10	2014	2014	NUM
ejpam-2260	156	11	.	.	PUNCT
ejpam-2260	157	1	[	[	X
ejpam-2260	157	2	5	5	X
ejpam-2260	157	3	]	]	PUNCT
ejpam-2260	157	4	s.	s.	PROPN
ejpam-2260	157	5	deng	deng	PROPN
ejpam-2260	157	6	and	and	CCONJ
ejpam-2260	157	7	z.	z.	PROPN
ejpam-2260	157	8	hou	hou	PROPN
ejpam-2260	157	9	.	.	PUNCT
ejpam-2260	158	1	invariant	invariant	ADJ
ejpam-2260	158	2	finsler	finsler	NOUN
ejpam-2260	158	3	metrics	metric	NOUN
ejpam-2260	158	4	on	on	ADP
ejpam-2260	158	5	homogeneous	homogeneous	ADJ
ejpam-2260	158	6	manifolds	manifold	NOUN
ejpam-2260	158	7	.	.	PUNCT
ejpam-2260	159	1	journal	journal	PROPN
ejpam-2260	159	2	of	of	ADP
ejpam-2260	159	3	physics	physics	PROPN
ejpam-2260	159	4	a	a	PRON
ejpam-2260	159	5	:	:	PUNCT
ejpam-2260	159	6	mathematical	mathematical	ADJ
ejpam-2260	159	7	and	and	CCONJ
ejpam-2260	159	8	general	general	ADJ
ejpam-2260	159	9	,	,	PUNCT
ejpam-2260	159	10	37:8245–8253	37:8245–8253	NUM
ejpam-2260	159	11	,	,	PUNCT
ejpam-2260	159	12	2004	2004	NUM
ejpam-2260	159	13	.	.	PUNCT
ejpam-2260	160	1	[	[	X
ejpam-2260	160	2	6	6	NUM
ejpam-2260	160	3	]	]	PUNCT
ejpam-2260	160	4	m.	m.	NOUN
ejpam-2260	160	5	hashiguchi	hashiguchi	PROPN
ejpam-2260	160	6	.	.	PUNCT
ejpam-2260	161	1	some	some	DET
ejpam-2260	161	2	problems	problem	NOUN
ejpam-2260	161	3	on	on	ADP
ejpam-2260	161	4	generalized	generalized	ADJ
ejpam-2260	161	5	berwald	berwald	NOUN
ejpam-2260	161	6	spaces	space	NOUN
ejpam-2260	161	7	.	.	PUNCT
ejpam-2260	162	1	reports	report	NOUN
ejpam-2260	162	2	of	of	ADP
ejpam-2260	162	3	the	the	DET
ejpam-2260	162	4	faculty	faculty	NOUN
ejpam-2260	162	5	of	of	ADP
ejpam-2260	162	6	science	science	NOUN
ejpam-2260	162	7	.	.	PUNCT
ejpam-2260	163	1	kagoshima	kagoshima	PROPN
ejpam-2260	163	2	university	university	PROPN
ejpam-2260	163	3	.	.	PUNCT
ejpam-2260	164	1	(	(	PUNCT
ejpam-2260	164	2	mathematics	mathematics	PROPN
ejpam-2260	164	3	,	,	PUNCT
ejpam-2260	164	4	physics	physics	NOUN
ejpam-2260	164	5	and	and	CCONJ
ejpam-2260	164	6	chemistry	chemistry	NOUN
ejpam-2260	164	7	)	)	PUNCT
ejpam-2260	164	8	,	,	PUNCT
ejpam-2260	164	9	16:59–63	16:59–63	NUM
ejpam-2260	164	10	,	,	PUNCT
ejpam-2260	164	11	1983	1983	NUM
ejpam-2260	164	12	.	.	PUNCT
ejpam-2260	165	1	[	[	X
ejpam-2260	165	2	7	7	X
ejpam-2260	165	3	]	]	X
ejpam-2260	165	4	j.	j.	PROPN
ejpam-2260	165	5	hilgert	hilgert	PROPN
ejpam-2260	165	6	and	and	CCONJ
ejpam-2260	165	7	k.	k.	PROPN
ejpam-2260	165	8	h.	h.	PROPN
ejpam-2260	165	9	neeb	neeb	PROPN
ejpam-2260	165	10	.	.	PUNCT
ejpam-2260	165	11	structure	structure	NOUN
ejpam-2260	165	12	and	and	CCONJ
ejpam-2260	165	13	geometry	geometry	NOUN
ejpam-2260	165	14	of	of	ADP
ejpam-2260	165	15	lie	lie	NOUN
ejpam-2260	165	16	groups	group	NOUN
ejpam-2260	165	17	.	.	PUNCT
ejpam-2260	166	1	springer	springer	NOUN
ejpam-2260	166	2	,	,	PUNCT
ejpam-2260	166	3	2012	2012	NUM
ejpam-2260	166	4	.	.	PUNCT
ejpam-2260	167	1	[	[	X
ejpam-2260	167	2	8	8	NUM
ejpam-2260	167	3	]	]	X
ejpam-2260	167	4	d.	d.	PROPN
ejpam-2260	167	5	latifi	latifi	PROPN
ejpam-2260	167	6	and	and	CCONJ
ejpam-2260	167	7	a.	a.	PROPN
ejpam-2260	167	8	razavi	razavi	PROPN
ejpam-2260	167	9	.	.	PUNCT
ejpam-2260	168	1	bi	bi	ADJ
ejpam-2260	168	2	-	-	ADJ
ejpam-2260	168	3	invariant	invariant	ADJ
ejpam-2260	168	4	finsler	finsler	NOUN
ejpam-2260	168	5	metrics	metric	NOUN
ejpam-2260	168	6	on	on	ADP
ejpam-2260	168	7	lie	lie	NOUN
ejpam-2260	168	8	groups	group	NOUN
ejpam-2260	168	9	.	.	PUNCT
ejpam-2260	169	1	australian	australian	ADJ
ejpam-2260	169	2	journal	journal	NOUN
ejpam-2260	169	3	of	of	ADP
ejpam-2260	169	4	basic	basic	ADJ
ejpam-2260	169	5	and	and	CCONJ
ejpam-2260	169	6	applied	applied	ADJ
ejpam-2260	169	7	sciences	science	NOUN
ejpam-2260	169	8	,	,	PUNCT
ejpam-2260	169	9	5	5	NUM
ejpam-2260	169	10	(	(	PUNCT
ejpam-2260	169	11	12):507–511	12):507–511	NUM
ejpam-2260	169	12	,	,	PUNCT
ejpam-2260	169	13	2011	2011	NUM
ejpam-2260	169	14	.	.	PUNCT
ejpam-2260	170	1	[	[	X
ejpam-2260	170	2	9	9	NUM
ejpam-2260	170	3	]	]	X
ejpam-2260	170	4	r.	r.	PROPN
ejpam-2260	170	5	l.	l.	PROPN
ejpam-2260	170	6	lovas	lovas	PROPN
ejpam-2260	170	7	.	.	PUNCT
ejpam-2260	171	1	on	on	ADP
ejpam-2260	171	2	the	the	DET
ejpam-2260	171	3	killing	kill	VERB
ejpam-2260	171	4	vector	vector	NOUN
ejpam-2260	171	5	fields	field	NOUN
ejpam-2260	171	6	of	of	ADP
ejpam-2260	171	7	generalized	generalized	ADJ
ejpam-2260	171	8	metrics	metric	NOUN
ejpam-2260	171	9	.	.	PUNCT
ejpam-2260	172	1	sut	sut	PROPN
ejpam-2260	172	2	journal	journal	PROPN
ejpam-2260	172	3	of	of	ADP
ejpam-2260	172	4	mathematics	mathematic	NOUN
ejpam-2260	172	5	,	,	PUNCT
ejpam-2260	172	6	40	40	NUM
ejpam-2260	172	7	(	(	PUNCT
ejpam-2260	172	8	2):133–156	2):133–156	PROPN
ejpam-2260	172	9	,	,	PUNCT
ejpam-2260	172	10	2004	2004	NUM
ejpam-2260	172	11	.	.	PUNCT
ejpam-2260	173	1	[	[	X
ejpam-2260	173	2	10	10	NUM
ejpam-2260	173	3	]	]	X
ejpam-2260	173	4	b.	b.	PROPN
ejpam-2260	173	5	o’neill	o’neill	PROPN
ejpam-2260	173	6	.	.	PUNCT
ejpam-2260	174	1	semi	semi	ADJ
ejpam-2260	174	2	-	-	ADJ
ejpam-2260	174	3	riemannian	riemannian	ADJ
ejpam-2260	174	4	geometry	geometry	NOUN
ejpam-2260	174	5	.	.	PUNCT
ejpam-2260	175	1	academic	academic	ADJ
ejpam-2260	175	2	press	press	NOUN
ejpam-2260	175	3	,	,	PUNCT
ejpam-2260	175	4	new	new	PROPN
ejpam-2260	175	5	york	york	PROPN
ejpam-2260	175	6	,	,	PUNCT
ejpam-2260	175	7	1983	1983	NUM
ejpam-2260	175	8	.	.	PUNCT
ejpam-2260	176	1	[	[	X
ejpam-2260	176	2	11	11	NUM
ejpam-2260	176	3	]	]	PUNCT
ejpam-2260	176	4	z.	z.	PROPN
ejpam-2260	176	5	i.	i.	PROPN
ejpam-2260	176	6	szabó	szabó	PROPN
ejpam-2260	176	7	.	.	PUNCT
ejpam-2260	177	1	positive	positive	ADJ
ejpam-2260	177	2	definite	definite	ADJ
ejpam-2260	177	3	berwald	berwald	NOUN
ejpam-2260	177	4	spaces	space	NOUN
ejpam-2260	177	5	(	(	PUNCT
ejpam-2260	177	6	structure	structure	NOUN
ejpam-2260	177	7	theorems	theorem	NOUN
ejpam-2260	177	8	on	on	ADP
ejpam-2260	177	9	berwald	berwald	ADJ
ejpam-2260	177	10	spaces	space	NOUN
ejpam-2260	177	11	)	)	PUNCT
ejpam-2260	177	12	.	.	PUNCT
ejpam-2260	178	1	tensor	tensor	NOUN
ejpam-2260	178	2	new	new	ADJ
ejpam-2260	178	3	series	series	NOUN
ejpam-2260	178	4	,	,	PUNCT
ejpam-2260	178	5	35:25–39	35:25–39	NUM
ejpam-2260	178	6	,	,	PUNCT
ejpam-2260	178	7	1981	1981	NUM
ejpam-2260	178	8	.	.	PUNCT
ejpam-2260	179	1	references	reference	NOUN
ejpam-2260	179	2	125	125	NUM
ejpam-2260	179	3	[	[	X
ejpam-2260	179	4	12	12	NUM
ejpam-2260	179	5	]	]	X
ejpam-2260	179	6	sz	sz	PROPN
ejpam-2260	179	7	.	.	PUNCT
ejpam-2260	179	8	szakál	szakál	PROPN
ejpam-2260	179	9	and	and	CCONJ
ejpam-2260	179	10	j.	j.	PROPN
ejpam-2260	179	11	szilasi	szilasi	PROPN
ejpam-2260	179	12	.	.	PUNCT
ejpam-2260	180	1	a	a	DET
ejpam-2260	180	2	new	new	ADJ
ejpam-2260	180	3	approach	approach	NOUN
ejpam-2260	180	4	to	to	ADP
ejpam-2260	180	5	generalized	generalized	ADJ
ejpam-2260	180	6	berwald	berwald	NOUN
ejpam-2260	180	7	manifolds	manifolds	PROPN
ejpam-2260	180	8	i.	i.	PROPN
ejpam-2260	180	9	sut	sut	PROPN
ejpam-2260	180	10	journal	journal	PROPN
ejpam-2260	180	11	of	of	ADP
ejpam-2260	180	12	mathematics	mathematics	PROPN
ejpam-2260	180	13	,	,	PUNCT
ejpam-2260	180	14	37:19–41	37:19–41	NUM
ejpam-2260	180	15	,	,	PUNCT
ejpam-2260	180	16	2001	2001	NUM
ejpam-2260	180	17	.	.	PUNCT
ejpam-2260	181	1	[	[	X
ejpam-2260	181	2	13	13	NUM
ejpam-2260	181	3	]	]	X
ejpam-2260	181	4	j.	j.	PROPN
ejpam-2260	181	5	szilasi	szilasi	PROPN
ejpam-2260	181	6	,	,	PUNCT
ejpam-2260	181	7	r.	r.	PROPN
ejpam-2260	181	8	l.	l.	PROPN
ejpam-2260	181	9	lovas	lovas	PROPN
ejpam-2260	181	10	,	,	PUNCT
ejpam-2260	181	11	and	and	CCONJ
ejpam-2260	181	12	d.	d.	PROPN
ejpam-2260	181	13	cs	cs	PROPN
ejpam-2260	181	14	.	.	PROPN
ejpam-2260	181	15	kertész	kertész	PROPN
ejpam-2260	181	16	.	.	PUNCT
ejpam-2260	182	1	several	several	ADJ
ejpam-2260	182	2	ways	way	NOUN
ejpam-2260	182	3	to	to	ADP
ejpam-2260	182	4	a	a	DET
ejpam-2260	182	5	berwald	berwald	NOUN
ejpam-2260	182	6	manifold	manifold	ADJ
ejpam-2260	182	7	–	–	PUNCT
ejpam-2260	182	8	and	and	CCONJ
ejpam-2260	182	9	some	some	DET
ejpam-2260	182	10	steps	step	NOUN
ejpam-2260	182	11	beyond	beyond	ADP
ejpam-2260	182	12	.	.	PUNCT
ejpam-2260	183	1	extracta	extracta	PROPN
ejpam-2260	183	2	mathematicae	mathematicae	PROPN
ejpam-2260	183	3	,	,	PUNCT
ejpam-2260	183	4	26:89–130	26:89–130	NUM
ejpam-2260	183	5	,	,	PUNCT
ejpam-2260	183	6	2011	2011	NUM
ejpam-2260	183	7	.	.	PUNCT
ejpam-2260	184	1	[	[	X
ejpam-2260	184	2	14	14	NUM
ejpam-2260	184	3	]	]	X
ejpam-2260	184	4	j.	j.	PROPN
ejpam-2260	184	5	szilasi	szilasi	PROPN
ejpam-2260	184	6	,	,	PUNCT
ejpam-2260	184	7	r.	r.	PROPN
ejpam-2260	184	8	l.	l.	PROPN
ejpam-2260	184	9	lovas	lovas	PROPN
ejpam-2260	184	10	,	,	PUNCT
ejpam-2260	184	11	and	and	CCONJ
ejpam-2260	184	12	d.	d.	PROPN
ejpam-2260	184	13	cs	cs	PROPN
ejpam-2260	184	14	.	.	PROPN
ejpam-2260	184	15	kertész	kertész	PROPN
ejpam-2260	184	16	.	.	PUNCT
ejpam-2260	185	1	connections	connection	NOUN
ejpam-2260	185	2	,	,	PUNCT
ejpam-2260	185	3	sprays	spray	NOUN
ejpam-2260	185	4	and	and	CCONJ
ejpam-2260	185	5	finsler	finsler	NOUN
ejpam-2260	185	6	structures	structure	NOUN
ejpam-2260	185	7	.	.	PUNCT
ejpam-2260	186	1	world	world	NOUN
ejpam-2260	186	2	scientific	scientific	PROPN
ejpam-2260	186	3	,	,	PUNCT
ejpam-2260	186	4	2014	2014	NUM
ejpam-2260	186	5	.	.	PUNCT
ejpam-2260	187	1	[	[	X
ejpam-2260	187	2	15	15	NUM
ejpam-2260	187	3	]	]	X
ejpam-2260	187	4	cs	cs	PROPN
ejpam-2260	187	5	.	.	PROPN
ejpam-2260	187	6	vincze	vincze	NOUN
ejpam-2260	187	7	.	.	PUNCT
ejpam-2260	188	1	average	average	ADJ
ejpam-2260	188	2	methods	method	NOUN
ejpam-2260	188	3	and	and	CCONJ
ejpam-2260	188	4	their	their	PRON
ejpam-2260	188	5	applications	application	NOUN
ejpam-2260	188	6	in	in	ADP
ejpam-2260	188	7	differential	differential	ADJ
ejpam-2260	188	8	geometry	geometry	NOUN
ejpam-2260	188	9	i.	i.	PROPN
ejpam-2260	188	10	arxiv:1309.0827v2	arxiv:1309.0827v2	PROPN
ejpam-2260	188	11	,	,	PUNCT
ejpam-2260	188	12	2013	2013	NUM
ejpam-2260	188	13	.	.	PUNCT
ejpam-2260	189	1	[	[	X
ejpam-2260	189	2	16	16	NUM
ejpam-2260	189	3	]	]	X
ejpam-2260	189	4	cs	cs	PROPN
ejpam-2260	189	5	.	.	PROPN
ejpam-2260	189	6	vincze	vincze	NOUN
ejpam-2260	189	7	.	.	PUNCT
ejpam-2260	190	1	on	on	ADP
ejpam-2260	190	2	generalized	generalized	ADJ
ejpam-2260	190	3	conics	conic	NOUN
ejpam-2260	190	4	’	'	PUNCT
ejpam-2260	190	5	theory	theory	NOUN
ejpam-2260	190	6	and	and	CCONJ
ejpam-2260	190	7	averaged	average	VERB
ejpam-2260	190	8	riemannian	riemannian	ADJ
ejpam-2260	190	9	metrics	metric	NOUN
ejpam-2260	190	10	in	in	ADP
ejpam-2260	190	11	finsler	finsler	NOUN
ejpam-2260	190	12	geometry	geometry	NOUN
ejpam-2260	190	13	.	.	PUNCT
ejpam-2260	191	1	tensor	tensor	NOUN
ejpam-2260	191	2	new	new	ADJ
ejpam-2260	191	3	series	series	NOUN
ejpam-2260	191	4	,	,	PUNCT
ejpam-2260	191	5	74	74	NUM
ejpam-2260	191	6	(	(	PUNCT
ejpam-2260	191	7	1):101–116	1):101–116	NUM
ejpam-2260	191	8	,	,	PUNCT
ejpam-2260	191	9	2013	2013	NUM
ejpam-2260	191	10	.	.	PUNCT