id	sid	tid	token	lemma	pos
q524jm2472r	1	1	the	the	DET
q524jm2472r	1	2	first	first	ADJ
q524jm2472r	1	3	chapter	chapter	NOUN
q524jm2472r	1	4	of	of	ADP
q524jm2472r	1	5	this	this	DET
q524jm2472r	1	6	thesis	thesis	NOUN
q524jm2472r	1	7	is	be	AUX
q524jm2472r	1	8	devoted	devote	VERB
q524jm2472r	1	9	to	to	ADP
q524jm2472r	1	10	the	the	DET
q524jm2472r	1	11	study	study	NOUN
q524jm2472r	1	12	of	of	ADP
q524jm2472r	1	13	the	the	DET
q524jm2472r	1	14	euler	euler	PROPN
q524jm2472r	1	15	equations	equation	NOUN
q524jm2472r	1	16	of	of	ADP
q524jm2472r	1	17	hydrodynamics	hydrodynamic	NOUN
q524jm2472r	1	18	as	as	ADP
q524jm2472r	1	19	geodesic	geodesic	ADJ
q524jm2472r	1	20	equations	equation	NOUN
q524jm2472r	1	21	on	on	ADP
q524jm2472r	1	22	the	the	DET
q524jm2472r	1	23	infinite	infinite	ADJ
q524jm2472r	1	24	-	-	PUNCT
q524jm2472r	1	25	dimensional	dimensional	ADJ
q524jm2472r	1	26	group	group	NOUN
q524jm2472r	1	27	of	of	ADP
q524jm2472r	1	28	volume	volume	NOUN
q524jm2472r	1	29	-	-	PUNCT
q524jm2472r	1	30	preserving	preserve	VERB
q524jm2472r	1	31	diffeomorphisms	diffeomorphism	NOUN
q524jm2472r	1	32	of	of	ADP
q524jm2472r	1	33	a	a	DET
q524jm2472r	1	34	compact	compact	ADJ
q524jm2472r	1	35	two	two	NUM
q524jm2472r	1	36	-	-	PUNCT
q524jm2472r	1	37	dimensional	dimensional	ADJ
q524jm2472r	1	38	manifold	manifold	ADJ
q524jm2472r	1	39	m.	m.	NOUN
q524jm2472r	1	40	we	we	PRON
q524jm2472r	1	41	prove	prove	VERB
q524jm2472r	1	42	that	that	SCONJ
q524jm2472r	1	43	the	the	DET
q524jm2472r	1	44	set	set	NOUN
q524jm2472r	1	45	of	of	ADP
q524jm2472r	1	46	conjugate	conjugate	NOUN
q524jm2472r	1	47	vectors	vector	NOUN
q524jm2472r	1	48	for	for	ADP
q524jm2472r	1	49	the	the	DET
q524jm2472r	1	50	l2	l2	PROPN
q524jm2472r	1	51	exponential	exponential	NOUN
q524jm2472r	1	52	map	map	NOUN
q524jm2472r	1	53	contains	contain	VERB
q524jm2472r	1	54	an	an	DET
q524jm2472r	1	55	open	open	ADJ
q524jm2472r	1	56	and	and	CCONJ
q524jm2472r	1	57	dense	dense	ADJ
q524jm2472r	1	58	subset	subset	NOUN
q524jm2472r	1	59	,	,	PUNCT
q524jm2472r	1	60	called	call	VERB
q524jm2472r	1	61	regular	regular	ADJ
q524jm2472r	1	62	conjugate	conjugate	NOUN
q524jm2472r	1	63	vectors	vector	NOUN
q524jm2472r	1	64	,	,	PUNCT
q524jm2472r	1	65	which	which	PRON
q524jm2472r	1	66	forms	form	VERB
q524jm2472r	1	67	a	a	DET
q524jm2472r	1	68	smooth	smooth	ADJ
q524jm2472r	1	69	,	,	PUNCT
q524jm2472r	1	70	codimension	codimension	NOUN
q524jm2472r	1	71	one	one	NUM
q524jm2472r	1	72	submanifold	submanifold	NOUN
q524jm2472r	1	73	of	of	ADP
q524jm2472r	1	74	the	the	DET
q524jm2472r	1	75	tangent	tangent	ADJ
q524jm2472r	1	76	space	space	NOUN
q524jm2472r	1	77	.	.	PUNCT
q524jm2472r	2	1	we	we	PRON
q524jm2472r	2	2	then	then	ADV
q524jm2472r	2	3	proceed	proceed	VERB
q524jm2472r	2	4	to	to	PART
q524jm2472r	2	5	obtain	obtain	VERB
q524jm2472r	2	6	several	several	ADJ
q524jm2472r	2	7	normal	normal	ADJ
q524jm2472r	2	8	forms	form	NOUN
q524jm2472r	2	9	for	for	ADP
q524jm2472r	2	10	this	this	DET
q524jm2472r	2	11	map	map	NOUN
q524jm2472r	2	12	in	in	ADP
q524jm2472r	2	13	a	a	DET
q524jm2472r	2	14	neighborhood	neighborhood	NOUN
q524jm2472r	2	15	of	of	ADP
q524jm2472r	2	16	a	a	DET
q524jm2472r	2	17	regular	regular	ADJ
q524jm2472r	2	18	conjugate	conjugate	NOUN
q524jm2472r	2	19	vector	vector	NOUN
q524jm2472r	2	20	.	.	PUNCT
q524jm2472r	3	1	these	these	DET
q524jm2472r	3	2	results	result	NOUN
q524jm2472r	3	3	apply	apply	VERB
q524jm2472r	3	4	,	,	PUNCT
q524jm2472r	3	5	more	more	ADV
q524jm2472r	3	6	generally	generally	ADV
q524jm2472r	3	7	,	,	PUNCT
q524jm2472r	3	8	for	for	ADP
q524jm2472r	3	9	infinite	infinite	ADJ
q524jm2472r	3	10	-	-	PUNCT
q524jm2472r	3	11	dimensional	dimensional	ADJ
q524jm2472r	3	12	riemannian	riemannian	ADJ
q524jm2472r	3	13	manifolds	manifold	NOUN
q524jm2472r	3	14	with	with	ADP
q524jm2472r	3	15	fredholm	fredholm	PROPN
q524jm2472r	3	16	exponential	exponential	ADJ
q524jm2472r	3	17	maps	map	NOUN
q524jm2472r	3	18	.	.	PUNCT
q524jm2472r	4	1	in	in	ADP
q524jm2472r	4	2	particular	particular	ADJ
q524jm2472r	4	3	,	,	PUNCT
q524jm2472r	4	4	they	they	PRON
q524jm2472r	4	5	are	be	AUX
q524jm2472r	4	6	true	true	ADJ
q524jm2472r	4	7	for	for	ADP
q524jm2472r	4	8	any	any	DET
q524jm2472r	4	9	finite	finite	ADV
q524jm2472r	4	10	-	-	PUNCT
q524jm2472r	4	11	dimensional	dimensional	ADJ
q524jm2472r	4	12	riemannian	riemannian	ADJ
q524jm2472r	4	13	manifold	manifold	ADJ
q524jm2472r	4	14	,	,	PUNCT
q524jm2472r	4	15	and	and	CCONJ
q524jm2472r	4	16	some	some	PRON
q524jm2472r	4	17	are	be	AUX
q524jm2472r	4	18	new	new	ADJ
q524jm2472r	4	19	even	even	ADV
q524jm2472r	4	20	in	in	ADP
q524jm2472r	4	21	this	this	DET
q524jm2472r	4	22	context.in	context.in	NUM
q524jm2472r	4	23	the	the	DET
q524jm2472r	4	24	second	second	ADJ
q524jm2472r	4	25	chapter	chapter	NOUN
q524jm2472r	4	26	we	we	PRON
q524jm2472r	4	27	study	study	VERB
q524jm2472r	4	28	the	the	DET
q524jm2472r	4	29	cauchy	cauchy	ADJ
q524jm2472r	4	30	problem	problem	NOUN
q524jm2472r	4	31	for	for	ADP
q524jm2472r	4	32	the	the	DET
q524jm2472r	4	33	navier	navier	NOUN
q524jm2472r	4	34	-	-	PUNCT
q524jm2472r	4	35	stokes	stoke	NOUN
q524jm2472r	4	36	equations	equation	NOUN
q524jm2472r	4	37	on	on	ADP
q524jm2472r	4	38	a	a	DET
q524jm2472r	4	39	hyperbolic	hyperbolic	ADJ
q524jm2472r	4	40	manifold	manifold	NOUN
q524jm2472r	4	41	of	of	ADP
q524jm2472r	4	42	dimension	dimension	NOUN
q524jm2472r	4	43	three	three	NUM
q524jm2472r	4	44	.	.	PUNCT
q524jm2472r	5	1	our	our	PRON
q524jm2472r	5	2	main	main	ADJ
q524jm2472r	5	3	result	result	NOUN
q524jm2472r	5	4	is	be	AUX
q524jm2472r	5	5	that	that	SCONJ
q524jm2472r	5	6	the	the	DET
q524jm2472r	5	7	problem	problem	NOUN
q524jm2472r	5	8	is	be	AUX
q524jm2472r	5	9	ill	ill	ADV
q524jm2472r	5	10	-	-	PUNCT
q524jm2472r	5	11	posed	pose	VERB
q524jm2472r	5	12	,	,	PUNCT
q524jm2472r	5	13	in	in	ADP
q524jm2472r	5	14	the	the	DET
q524jm2472r	5	15	sense	sense	NOUN
q524jm2472r	5	16	that	that	SCONJ
q524jm2472r	5	17	there	there	PRON
q524jm2472r	5	18	are	be	VERB
q524jm2472r	5	19	smooth	smooth	ADJ
q524jm2472r	5	20	initial	initial	ADJ
q524jm2472r	5	21	data	datum	NOUN
q524jm2472r	5	22	in	in	ADP
q524jm2472r	5	23	the	the	DET
q524jm2472r	5	24	leray	leray	ADJ
q524jm2472r	5	25	-	-	PUNCT
q524jm2472r	5	26	hopf	hopf	NOUN
q524jm2472r	5	27	class	class	NOUN
q524jm2472r	5	28	for	for	ADP
q524jm2472r	5	29	which	which	PRON
q524jm2472r	5	30	there	there	PRON
q524jm2472r	5	31	are	be	VERB
q524jm2472r	5	32	non	non	ADJ
q524jm2472r	5	33	-	-	ADJ
q524jm2472r	5	34	unique	unique	ADJ
q524jm2472r	5	35	leray	leray	ADJ
q524jm2472r	5	36	-	-	PUNCT
q524jm2472r	5	37	hopf	hopf	NOUN
q524jm2472r	5	38	solutions	solution	NOUN
q524jm2472r	5	39	.	.	PUNCT