id	sid	tid	token	lemma	pos
cana-357	1	1	communications	communication	NOUN
cana-357	1	2	on	on	ADP
cana-357	1	3	applied	apply	VERB
cana-357	1	4	nonlinear	nonlinear	ADJ
cana-357	1	5	analysis	analysis	NOUN
cana-357	1	6	issn	issn	NOUN
cana-357	1	7	:	:	PUNCT
cana-357	1	8	1074	1074	NUM
cana-357	1	9	-	-	PUNCT
cana-357	1	10	133x	133x	NUM
cana-357	1	11	vol	vol	NOUN
cana-357	1	12	31	31	NUM
cana-357	1	13	no	no	NOUN
cana-357	1	14	.	.	NOUN
cana-357	1	15	1	1	NUM
cana-357	1	16	(	(	PUNCT
cana-357	1	17	2024	2024	NUM
cana-357	1	18	)	)	PUNCT
cana-357	1	19	136	136	NUM
cana-357	1	20	https://internationalpubls.com	https://internationalpubls.com	X
cana-357	1	21	group	group	NOUN
cana-357	1	22	actions	action	NOUN
cana-357	1	23	on	on	ADP
cana-357	1	24	manifolds	manifold	NOUN
cana-357	1	25	prof	prof	NOUN
cana-357	1	26	.	.	PUNCT
cana-357	2	1	t.venkatesh1	t.venkatesh1	PROPN
cana-357	2	2	and	and	CCONJ
cana-357	2	3	smt.ashma	smt.ashma	ADJ
cana-357	2	4	f	f	PROPN
cana-357	2	5	ganachari2	ganachari2	PROPN
cana-357	2	6	1department	1department	NUM
cana-357	2	7	of	of	ADP
cana-357	2	8	mathematics	mathematic	NOUN
cana-357	2	9	,	,	PUNCT
cana-357	2	10	rani	rani	PROPN
cana-357	2	11	channamma	channamma	PROPN
cana-357	2	12	university	university	PROPN
cana-357	2	13	,	,	PUNCT
cana-357	2	14	belagavi	belagavi	NOUN
cana-357	2	15	and	and	CCONJ
cana-357	2	16	director	director	NOUN
cana-357	2	17	,	,	PUNCT
cana-357	2	18	mathematical	mathematical	PROPN
cana-357	2	19	sciences	sciences	PROPN
cana-357	2	20	institute	institute	PROPN
cana-357	2	21	belagavi	belagavi	PROPN
cana-357	2	22	,	,	PUNCT
cana-357	2	23	karnataka	karnataka	PROPN
cana-357	2	24	,	,	PUNCT
cana-357	2	25	india	india	PROPN
cana-357	2	26	e	e	PROPN
cana-357	2	27	-	-	NOUN
cana-357	2	28	mail	mail	NOUN
cana-357	2	29	:	:	PUNCT
cana-357	2	30	tmathvenky@yahoo.co.in	tmathvenky@yahoo.co.in	PROPN
cana-357	2	31	2department	2department	NUM
cana-357	2	32	of	of	ADP
cana-357	2	33	mathematics	mathematic	NOUN
cana-357	2	34	,	,	PUNCT
cana-357	2	35	(	(	PUNCT
cana-357	2	36	research	research	NOUN
cana-357	2	37	scholar	scholar	NOUN
cana-357	2	38	)	)	PUNCT
cana-357	2	39	,	,	PUNCT
cana-357	2	40	rcu	rcu	PROPN
cana-357	2	41	belagavi	belagavi	NOUN
cana-357	2	42	and	and	CCONJ
cana-357	2	43	assistant	assistant	NOUN
cana-357	2	44	professor	professor	NOUN
cana-357	2	45	,	,	PUNCT
cana-357	2	46	p.c.jabin	p.c.jabin	NOUN
cana-357	2	47	science	science	NOUN
cana-357	2	48	college	college	NOUN
cana-357	2	49	vidyanagar	vidyanagar	NOUN
cana-357	2	50	,	,	PUNCT
cana-357	2	51	hubballi	hubballi	PROPN
cana-357	2	52	.	.	PUNCT
cana-357	3	1	karnataka	karnataka	PROPN
cana-357	3	2	,	,	PUNCT
cana-357	3	3	india	india	PROPN
cana-357	3	4	g	g	PROPN
cana-357	3	5	-	-	PUNCT
cana-357	3	6	mail	mail	NOUN
cana-357	3	7	:	:	PUNCT
cana-357	3	8	ashmagmath786@gmail.com	ashmagmath786@gmail.com	PROPN
cana-357	3	9	article	article	NOUN
cana-357	3	10	history	history	NOUN
cana-357	3	11	:	:	PUNCT
cana-357	3	12	received	receive	VERB
cana-357	3	13	:	:	PUNCT
cana-357	3	14	28	28	NUM
cana-357	3	15	-	-	SYM
cana-357	3	16	09	09	NUM
cana-357	3	17	-	-	PUNCT
cana-357	3	18	2023	2023	NUM
cana-357	3	19	revised	revise	VERB
cana-357	3	20	:	:	PUNCT
cana-357	3	21	07	07	NUM
cana-357	3	22	-	-	SYM
cana-357	3	23	11	11	NUM
cana-357	3	24	-	-	SYM
cana-357	3	25	2023	2023	NUM
cana-357	3	26	accepted	accept	VERB
cana-357	3	27	:	:	PUNCT
cana-357	3	28	29	29	NUM
cana-357	3	29	-	-	SYM
cana-357	3	30	11	11	NUM
cana-357	3	31	-	-	SYM
cana-357	3	32	2023	2023	NUM
cana-357	3	33	abstract	abstract	NOUN
cana-357	3	34	:	:	PUNCT
cana-357	3	35	in	in	ADP
cana-357	3	36	this	this	DET
cana-357	3	37	paper	paper	NOUN
cana-357	3	38	some	some	DET
cana-357	3	39	riemann	riemann	PROPN
cana-357	3	40	geometry	geometry	NOUN
cana-357	3	41	aspects	aspect	NOUN
cana-357	3	42	will	will	AUX
cana-357	3	43	be	be	AUX
cana-357	3	44	gathered	gather	VERB
cana-357	3	45	with	with	ADP
cana-357	3	46	classical	classical	ADJ
cana-357	3	47	time	time	NOUN
cana-357	3	48	,	,	PUNCT
cana-357	3	49	the	the	DET
cana-357	3	50	study	study	NOUN
cana-357	3	51	naturally	naturally	ADV
cana-357	3	52	concentrate	concentrate	VERB
cana-357	3	53	to	to	ADP
cana-357	3	54	pde	pde	NOUN
cana-357	3	55	’s	’s	ADV
cana-357	3	56	from	from	ADP
cana-357	3	57	the	the	DET
cana-357	3	58	relation	relation	NOUN
cana-357	3	59	outside	outside	ADP
cana-357	3	60	geometry	geometry	NOUN
cana-357	3	61	.	.	PUNCT
cana-357	4	1	the	the	DET
cana-357	4	2	classical	classical	ADJ
cana-357	4	3	frame	frame	NOUN
cana-357	4	4	work	work	NOUN
cana-357	4	5	of	of	ADP
cana-357	4	6	differential	differential	ADJ
cana-357	4	7	geometry	geometry	NOUN
cana-357	4	8	(	(	PUNCT
cana-357	4	9	intending	intend	VERB
cana-357	4	10	smooth	smooth	ADJ
cana-357	4	11	manifolds	manifold	NOUN
cana-357	4	12	)	)	PUNCT
cana-357	4	13	and	and	CCONJ
cana-357	4	14	later	later	ADV
cana-357	4	15	it	it	PRON
cana-357	4	16	endured	endure	VERB
cana-357	4	17	with	with	ADP
cana-357	4	18	riemannian	riemannian	ADJ
cana-357	4	19	metric	metric	NOUN
cana-357	4	20	is	be	AUX
cana-357	4	21	briefly	briefly	ADV
cana-357	4	22	described	describe	VERB
cana-357	4	23	in	in	ADP
cana-357	4	24	one	one	NUM
cana-357	4	25	of	of	ADP
cana-357	4	26	the	the	DET
cana-357	4	27	sections	section	NOUN
cana-357	4	28	that	that	PRON
cana-357	4	29	were	be	AUX
cana-357	4	30	formed	form	VERB
cana-357	4	31	to	to	PART
cana-357	4	32	be	be	AUX
cana-357	4	33	essential	essential	ADJ
cana-357	4	34	for	for	ADP
cana-357	4	35	our	our	PRON
cana-357	4	36	understanding	understanding	NOUN
cana-357	4	37	of	of	ADP
cana-357	4	38	the	the	DET
cana-357	4	39	inner	inner	ADJ
cana-357	4	40	structure	structure	NOUN
cana-357	4	41	of	of	ADP
cana-357	4	42	the	the	DET
cana-357	4	43	space	space	NOUN
cana-357	4	44	.	.	PUNCT
cana-357	5	1	keywords	keyword	NOUN
cana-357	5	2	:	:	PUNCT
cana-357	5	3	diffeomorphism	diffeomorphism	NOUN
cana-357	5	4	,	,	PUNCT
cana-357	5	5	locally	locally	ADV
cana-357	5	6	integrable	integrable	ADJ
cana-357	5	7	structures	structure	NOUN
cana-357	5	8	and	and	CCONJ
cana-357	5	9	integral	integral	ADJ
cana-357	5	10	curves	curve	NOUN
cana-357	5	11	.	.	PUNCT
cana-357	6	1	1	1	X
cana-357	6	2	.	.	X
cana-357	6	3	introduction	introduction	NOUN
cana-357	6	4	in	in	ADP
cana-357	6	5	this	this	DET
cana-357	6	6	paper	paper	NOUN
cana-357	6	7	we	we	PRON
cana-357	6	8	discuss	discuss	VERB
cana-357	6	9	the	the	DET
cana-357	6	10	inner	inner	ADJ
cana-357	6	11	structure	structure	NOUN
cana-357	6	12	of	of	ADP
cana-357	6	13	the	the	DET
cana-357	6	14	space	space	NOUN
cana-357	6	15	,	,	PUNCT
cana-357	6	16	we	we	PRON
cana-357	6	17	mean	mean	VERB
cana-357	6	18	a	a	DET
cana-357	6	19	smooth	smooth	ADJ
cana-357	6	20	manifold	manifold	NOUN
cana-357	6	21	of	of	ADP
cana-357	6	22	dimension	dimension	NOUN
cana-357	6	23	,	,	PUNCT
cana-357	6	24	where	where	SCONJ
cana-357	6	25	.naturally	.naturally	ADV
cana-357	6	26	,	,	PUNCT
cana-357	6	27	it	it	PRON
cana-357	6	28	sets	set	VERB
cana-357	6	29	a	a	DET
cana-357	6	30	pace	pace	NOUN
cana-357	6	31	with	with	ADP
cana-357	6	32	geometry	geometry	NOUN
cana-357	6	33	ever	ever	ADV
cana-357	6	34	since	since	SCONJ
cana-357	6	35	the	the	DET
cana-357	6	36	human	human	ADJ
cana-357	6	37	civilization	civilization	NOUN
cana-357	6	38	started	start	VERB
cana-357	6	39	confronting	confront	VERB
cana-357	6	40	the	the	DET
cana-357	6	41	enchanting	enchanting	ADJ
cana-357	6	42	beauty	beauty	NOUN
cana-357	6	43	of	of	ADP
cana-357	6	44	the	the	DET
cana-357	6	45	nature	nature	NOUN
cana-357	6	46	in	in	ADP
cana-357	6	47	which	which	PRON
cana-357	6	48	geometry	geometry	NOUN
cana-357	6	49	manifests	manifest	VERB
cana-357	6	50	.	.	PUNCT
cana-357	7	1	if	if	SCONJ
cana-357	7	2	one	one	NUM
cana-357	7	3	were	be	AUX
cana-357	7	4	to	to	PART
cana-357	7	5	specifically	specifically	ADV
cana-357	7	6	mention	mention	VERB
cana-357	7	7	its	its	PRON
cana-357	7	8	historical	historical	ADJ
cana-357	7	9	anecdotes	anecdote	NOUN
cana-357	7	10	,	,	PUNCT
cana-357	7	11	then	then	ADV
cana-357	7	12	it	it	PRON
cana-357	7	13	is	be	AUX
cana-357	7	14	certainly	certainly	ADV
cana-357	7	15	of	of	ADP
cana-357	7	16	greek	greek	PROPN
cana-357	7	17	times	time	NOUN
cana-357	7	18	.	.	PUNCT
cana-357	8	1	euclid	euclid	PROPN
cana-357	8	2	’s	’s	PART
cana-357	8	3	axiomatic	axiomatic	ADJ
cana-357	8	4	approach	approach	NOUN
cana-357	8	5	to	to	ADP
cana-357	8	6	mathematics	mathematic	NOUN
cana-357	8	7	and	and	CCONJ
cana-357	8	8	in	in	ADP
cana-357	8	9	particular	particular	ADJ
cana-357	8	10	his	his	PRON
cana-357	8	11	flat	flat	ADJ
cana-357	8	12	geometry	geometry	NOUN
cana-357	8	13	model	model	NOUN
cana-357	8	14	.	.	PUNCT
cana-357	9	1	space	space	NOUN
cana-357	9	2	is	be	AUX
cana-357	9	3	curved	curve	VERB
cana-357	9	4	is	be	AUX
cana-357	9	5	altogether	altogether	ADV
cana-357	9	6	another	another	DET
cana-357	9	7	revelation	revelation	NOUN
cana-357	9	8	and	and	CCONJ
cana-357	9	9	that	that	PRON
cana-357	9	10	guides	guide	VERB
cana-357	9	11	us	we	PRON
cana-357	9	12	to	to	PART
cana-357	9	13	move	move	VERB
cana-357	9	14	forward	forward	ADV
cana-357	9	15	with	with	ADP
cana-357	9	16	the	the	DET
cana-357	9	17	agenda	agenda	NOUN
cana-357	9	18	.	.	PUNCT
cana-357	10	1	but	but	CCONJ
cana-357	10	2	this	this	DET
cana-357	10	3	picture	picture	NOUN
cana-357	10	4	underwent	undergo	VERB
cana-357	10	5	radical	radical	ADJ
cana-357	10	6	changes	change	NOUN
cana-357	10	7	during	during	ADP
cana-357	10	8	19th	19th	ADJ
cana-357	10	9	century	century	NOUN
cana-357	10	10	,	,	PUNCT
cana-357	10	11	we	we	PRON
cana-357	10	12	notice	notice	VERB
cana-357	10	13	these	these	DET
cana-357	10	14	changes	change	NOUN
cana-357	10	15	in	in	ADP
cana-357	10	16	the	the	DET
cana-357	10	17	significant	significant	ADJ
cana-357	10	18	work	work	NOUN
cana-357	10	19	of	of	ADP
cana-357	10	20	gauss	gauss	PROPN
cana-357	10	21	and	and	CCONJ
cana-357	10	22	riemann	riemann	PROPN
cana-357	10	23	,	,	PUNCT
cana-357	10	24	he	he	PRON
cana-357	10	25	was	be	AUX
cana-357	10	26	a	a	DET
cana-357	10	27	student	student	NOUN
cana-357	10	28	of	of	ADP
cana-357	10	29	gauss	gauss	PROPN
cana-357	10	30	.	.	PROPN
cana-357	10	31	infact	infact	PROPN
cana-357	10	32	,	,	PUNCT
cana-357	10	33	riemann	riemann	PROPN
cana-357	10	34	revolutionized	revolutionize	VERB
cana-357	10	35	our	our	PRON
cana-357	10	36	notions	notion	NOUN
cana-357	10	37	of	of	ADP
cana-357	10	38	space	space	NOUN
cana-357	10	39	and	and	CCONJ
cana-357	10	40	liberating	liberate	VERB
cana-357	10	41	mathematics	mathematic	NOUN
cana-357	10	42	from	from	ADP
cana-357	10	43	its	its	PRON
cana-357	10	44	euclidean	euclidean	ADJ
cana-357	10	45	sholders	sholder	NOUN
cana-357	10	46	.	.	PUNCT
cana-357	11	1	that	that	PRON
cana-357	11	2	laed	lae	VERB
cana-357	11	3	to	to	PART
cana-357	11	4	believe	believe	VERB
cana-357	11	5	formally	formally	ADV
cana-357	11	6	that	that	PRON
cana-357	11	7	objects	object	VERB
cana-357	11	8	no	no	ADV
cana-357	11	9	longer	long	ADV
cana-357	11	10	lead	lead	VERB
cana-357	11	11	to	to	PART
cana-357	11	12	be	be	AUX
cana-357	11	13	confined	confine	VERB
cana-357	11	14	to	to	ADP
cana-357	11	15	the	the	DET
cana-357	11	16	flat	flat	ADJ
cana-357	11	17	,	,	PUNCT
cana-357	11	18	linear	linear	ADJ
cana-357	11	19	space	space	NOUN
cana-357	11	20	of	of	ADP
cana-357	11	21	euclidean	euclidean	ADJ
cana-357	11	22	geometry	geometry	NOUN
cana-357	11	23	.	.	PUNCT
cana-357	12	1	riemann	riemann	PROPN
cana-357	12	2	proposed	propose	VERB
cana-357	12	3	a	a	DET
cana-357	12	4	much	much	ADV
cana-357	12	5	more	more	ADV
cana-357	12	6	abstract	abstract	ADJ
cana-357	12	7	conception	conception	NOUN
cana-357	12	8	of	of	ADP
cana-357	12	9	space	space	NOUN
cana-357	12	10	,	,	PUNCT
cana-357	12	11	of	of	ADP
cana-357	12	12	dimension	dimension	NOUN
cana-357	12	13	for	for	ADP
cana-357	12	14	any	any	PRON
cana-357	12	15	in	in	ADP
cana-357	12	16	which	which	PRON
cana-357	12	17	we	we	PRON
cana-357	12	18	could	could	AUX
cana-357	12	19	describe	describe	VERB
cana-357	12	20	distance	distance	NOUN
cana-357	12	21	and	and	CCONJ
cana-357	12	22	curvature	curvature	VERB
cana-357	12	23	and	and	CCONJ
cana-357	12	24	a	a	DET
cana-357	12	25	form	form	NOUN
cana-357	12	26	of	of	ADP
cana-357	12	27	calculus	calculus	NOUN
cana-357	12	28	that	that	PRON
cana-357	12	29	intend	intend	VERB
cana-357	12	30	to	to	ADP
cana-357	12	31	this	this	DET
cana-357	12	32	idea	idea	NOUN
cana-357	12	33	of	of	ADP
cana-357	12	34	abstract	abstract	ADJ
cana-357	12	35	space	space	NOUN
cana-357	12	36	,	,	PUNCT
cana-357	12	37	riemann	riemann	PROPN
cana-357	12	38	geometry	geometry	NOUN
cana-357	12	39	base	base	VERB
cana-357	12	40	the	the	DET
cana-357	12	41	stump	stump	NOUN
cana-357	12	42	,	,	PUNCT
cana-357	12	43	as	as	ADP
cana-357	12	44	noneuclidean	noneuclidean	ADJ
cana-357	12	45	geometry	geometry	NOUN
cana-357	12	46	,	,	PUNCT
cana-357	12	47	and	and	CCONJ
cana-357	12	48	get	get	VERB
cana-357	12	49	in	in	ADP
cana-357	12	50	a	a	DET
cana-357	12	51	standard	standard	ADJ
cana-357	12	52	euclidean	euclidean	ADJ
cana-357	12	53	spirit	spirit	NOUN
cana-357	12	54	.	.	PUNCT
cana-357	13	1	any	any	DET
cana-357	13	2	investigation	investigation	NOUN
cana-357	13	3	/research	/research	NOUN
cana-357	13	4	in	in	ADP
cana-357	13	5	geometry	geometry	NOUN
cana-357	13	6	in	in	ADP
cana-357	13	7	the	the	DET
cana-357	13	8	middle	middle	NOUN
cana-357	13	9	of	of	ADP
cana-357	13	10	20th	20th	ADJ
cana-357	13	11	century	century	NOUN
cana-357	13	12	lead	lead	NOUN
cana-357	13	13	to	to	ADP
cana-357	13	14	forever	forever	ADV
cana-357	13	15	,	,	PUNCT
cana-357	13	16	einstein	einstein	PROPN
cana-357	13	17	realized	realize	VERB
cana-357	13	18	that	that	SCONJ
cana-357	13	19	this	this	DET
cana-357	13	20	kind	kind	NOUN
cana-357	13	21	of	of	ADP
cana-357	13	22	geometry	geometry	NOUN
cana-357	13	23	,	,	PUNCT
cana-357	13	24	which	which	PRON
cana-357	13	25	involved	involve	VERB
cana-357	13	26	curved	curved	ADJ
cana-357	13	27	spaces	space	NOUN
cana-357	13	28	with	with	ADP
cana-357	13	29	exactly	exactly	ADV
cana-357	13	30	what	what	PRON
cana-357	13	31	was	be	AUX
cana-357	13	32	needed	need	VERB
cana-357	13	33	by	by	ADP
cana-357	13	34	him	he	PRON
cana-357	13	35	to	to	ADP
cana-357	13	36	unity	unity	NOUN
cana-357	13	37	geometry	geometry	NOUN
cana-357	13	38	(	(	PUNCT
cana-357	13	39	newton	newton	PROPN
cana-357	13	40	’s	’s	PART
cana-357	13	41	)	)	PUNCT
cana-357	13	42	with	with	ADP
cana-357	13	43	special	special	ADJ
cana-357	13	44	relativity	relativity	NOUN
cana-357	13	45	and	and	CCONJ
cana-357	13	46	that	that	SCONJ
cana-357	13	47	later	later	ADV
cana-357	13	48	lead	lead	VERB
cana-357	13	49	to	to	ADP
cana-357	13	50	the	the	DET
cana-357	13	51	famous	famous	ADJ
cana-357	13	52	theory	theory	NOUN
cana-357	13	53	of	of	ADP
cana-357	13	54	general	general	ADJ
cana-357	13	55	relativity	relativity	NOUN
cana-357	13	56	.	.	PUNCT
cana-357	14	1	under	under	ADP
cana-357	14	2	classification	classification	NOUN
cana-357	14	3	theme	theme	NOUN
cana-357	14	4	we	we	PRON
cana-357	14	5	distinguish	distinguish	VERB
cana-357	14	6	all	all	DET
cana-357	14	7	2	2	NUM
cana-357	14	8	-	-	PUNCT
cana-357	14	9	dimensional	dimensional	ADJ
cana-357	14	10	oriented	orient	VERB
cana-357	14	11	closed	close	VERB
cana-357	14	12	manifolds	manifold	NOUN
cana-357	14	13	.	.	PUNCT
cana-357	15	1	indeed	indeed	ADV
cana-357	15	2	this	this	PRON
cana-357	15	3	has	have	AUX
cana-357	15	4	been	be	AUX
cana-357	15	5	a	a	DET
cana-357	15	6	classical	classical	ADJ
cana-357	15	7	problem	problem	NOUN
cana-357	15	8	of	of	ADP
cana-357	15	9	topology	topology	NOUN
cana-357	15	10	and	and	CCONJ
cana-357	15	11	was	be	AUX
cana-357	15	12	successfully	successfully	ADV
cana-357	15	13	done	do	VERB
cana-357	15	14	by	by	ADP
cana-357	15	15	the	the	DET
cana-357	15	16	people	people	NOUN
cana-357	15	17	in	in	ADP
cana-357	15	18	1940	1940	NUM
cana-357	15	19	’s	’s	PART
cana-357	15	20	later	later	ADV
cana-357	15	21	,	,	PUNCT
cana-357	15	22	this	this	DET
cana-357	15	23	study	study	NOUN
cana-357	15	24	lead	lead	VERB
cana-357	15	25	to	to	ADP
cana-357	15	26	higher	high	ADJ
cana-357	15	27	analogies	analogy	NOUN
cana-357	15	28	.	.	PUNCT
cana-357	16	1	here	here	ADV
cana-357	16	2	,	,	PUNCT
cana-357	16	3	we	we	PRON
cana-357	16	4	shall	shall	AUX
cana-357	16	5	give	give	VERB
cana-357	16	6	a	a	DET
cana-357	16	7	simple	simple	ADJ
cana-357	16	8	treatment	treatment	NOUN
cana-357	16	9	of	of	ADP
cana-357	16	10	riemann	riemann	PROPN
cana-357	16	11	’s	’s	PART
cana-357	16	12	idea	idea	NOUN
cana-357	16	13	of	of	ADP
cana-357	16	14	presenting	present	VERB
cana-357	16	15	a	a	DET
cana-357	16	16	surface	surface	NOUN
cana-357	16	17	,	,	PUNCT
cana-357	16	18	from	from	ADP
cana-357	16	19	topological	topological	ADJ
cana-357	16	20	view	view	NOUN
cana-357	16	21	point	point	NOUN
cana-357	16	22	,	,	PUNCT
cana-357	16	23	to	to	PART
cana-357	16	24	begin	begin	VERB
cana-357	16	25	with	with	ADP
cana-357	16	26	a	a	DET
cana-357	16	27	sphere	sphere	NOUN
cana-357	16	28	s2	s2	NOUN
cana-357	16	29	and	and	CCONJ
cana-357	16	30	torus	torus	PROPN
cana-357	16	31	t2	t2	NOUN
cana-357	16	32	both	both	PRON
cana-357	16	33	are	be	AUX
cana-357	16	34	oriented	orient	VERB
cana-357	16	35	closed	close	VERB
cana-357	16	36	2	2	NUM
cana-357	16	37	-	-	PUNCT
cana-357	16	38	dimensional	dimensional	ADJ
cana-357	16	39	manifolds	manifold	NOUN
cana-357	16	40	and	and	CCONJ
cana-357	16	41	are	be	AUX
cana-357	16	42	least	least	ADJ
cana-357	16	43	homoeomorphic	homoeomorphic	ADJ
cana-357	16	44	to	to	ADP
cana-357	16	45	each	each	DET
cana-357	16	46	other	other	ADJ
cana-357	16	47	.	.	PUNCT
cana-357	17	1	other	other	ADJ
cana-357	17	2	part	part	NOUN
cana-357	17	3	communications	communication	NOUN
cana-357	17	4	on	on	ADP
cana-357	17	5	applied	apply	VERB
cana-357	17	6	nonlinear	nonlinear	ADJ
cana-357	17	7	analysis	analysis	NOUN
cana-357	17	8	issn	issn	NOUN
cana-357	17	9	:	:	PUNCT
cana-357	17	10	1074	1074	NUM
cana-357	17	11	-	-	PUNCT
cana-357	17	12	133x	133x	NUM
cana-357	17	13	vol	vol	NOUN
cana-357	17	14	31	31	NUM
cana-357	17	15	no	no	NOUN
cana-357	17	16	.	.	NOUN
cana-357	17	17	1	1	NUM
cana-357	17	18	(	(	PUNCT
cana-357	17	19	2024	2024	NUM
cana-357	17	20	)	)	PUNCT
cana-357	17	21	137	137	NUM
cana-357	17	22	https://internationalpubls.com	https://internationalpubls.com	X
cana-357	17	23	of	of	ADP
cana-357	17	24	discussion	discussion	NOUN
cana-357	17	25	is	be	AUX
cana-357	17	26	vector	vector	NOUN
cana-357	17	27	fields	field	NOUN
cana-357	17	28	and	and	CCONJ
cana-357	17	29	some	some	DET
cana-357	17	30	inerrability	inerrability	NOUN
cana-357	17	31	related	relate	VERB
cana-357	17	32	issues	issue	NOUN
cana-357	17	33	;	;	PUNCT
cana-357	17	34	this	this	PRON
cana-357	17	35	is	be	AUX
cana-357	17	36	an	an	DET
cana-357	17	37	important	important	ADJ
cana-357	17	38	and	and	CCONJ
cana-357	17	39	deeply	deeply	ADV
cana-357	17	40	studied	study	VERB
cana-357	17	41	theme	theme	NOUN
cana-357	17	42	of	of	ADP
cana-357	17	43	geometry	geometry	NOUN
cana-357	17	44	under	under	ADP
cana-357	17	45	riemannian	riemannian	ADJ
cana-357	17	46	metric	metric	NOUN
cana-357	17	47	.	.	PUNCT
cana-357	18	1	the	the	DET
cana-357	18	2	ambient	ambient	ADJ
cana-357	18	3	space	space	NOUN
cana-357	18	4	being	be	AUX
cana-357	18	5	either	either	ADV
cana-357	18	6	or	or	CCONJ
cana-357	18	7	over	over	ADV
cana-357	18	8	or	or	CCONJ
cana-357	18	9	(	(	PUNCT
cana-357	18	10	as	as	SCONJ
cana-357	18	11	the	the	DET
cana-357	18	12	case	case	NOUN
cana-357	18	13	may	may	AUX
cana-357	18	14	be	be	AUX
cana-357	18	15	)	)	PUNCT
cana-357	18	16	a	a	DET
cana-357	18	17	word	word	NOUN
cana-357	18	18	about	about	ADP
cana-357	18	19	low	low	ADJ
cana-357	18	20	–	–	PUNCT
cana-357	18	21	dimensional	dimensional	ADJ
cana-357	18	22	topology	topology	NOUN
cana-357	18	23	and	and	CCONJ
cana-357	18	24	finite	finite	ADJ
cana-357	18	25	space	space	NOUN
cana-357	18	26	(	(	PUNCT
cana-357	18	27	infinite	infinite	ADJ
cana-357	18	28	dimensional	dimensional	ADJ
cana-357	18	29	space	space	NOUN
cana-357	18	30	)	)	PUNCT
cana-357	18	31	is	be	AUX
cana-357	18	32	not	not	PART
cana-357	18	33	out	out	ADP
cana-357	18	34	of	of	ADP
cana-357	18	35	place	place	NOUN
cana-357	18	36	,	,	PUNCT
cana-357	18	37	rather	rather	ADV
cana-357	18	38	it	it	PRON
cana-357	18	39	is	be	AUX
cana-357	18	40	relevant	relevant	ADJ
cana-357	18	41	we	we	PRON
cana-357	18	42	come	come	VERB
cana-357	18	43	across	across	ADP
cana-357	18	44	linear	linear	ADJ
cana-357	18	45	groups	group	NOUN
cana-357	18	46	,	,	PUNCT
cana-357	18	47	to	to	PART
cana-357	18	48	address	address	VERB
cana-357	18	49	the	the	DET
cana-357	18	50	stability	stability	NOUN
cana-357	18	51	issues	issue	NOUN
cana-357	18	52	relating	relate	VERB
cana-357	18	53	to	to	ADP
cana-357	18	54	their	their	PRON
cana-357	18	55	dynamics	dynamic	NOUN
cana-357	18	56	(	(	PUNCT
cana-357	18	57	dynamical	dynamical	ADJ
cana-357	18	58	systems	system	NOUN
cana-357	18	59	,	,	PUNCT
cana-357	18	60	perturbations	perturbation	NOUN
cana-357	18	61	,	,	PUNCT
cana-357	18	62	etc	etc	X
cana-357	18	63	seen	see	VERB
cana-357	18	64	from	from	ADP
cana-357	18	65	classical	classical	ADJ
cana-357	18	66	mechanics	mechanic	NOUN
cana-357	18	67	)	)	PUNCT
cana-357	18	68	.	.	PUNCT
cana-357	19	1	2.differentiable	2.differentiable	NUM
cana-357	19	2	manifolds	manifold	NOUN
cana-357	19	3	and	and	CCONJ
cana-357	19	4	some	some	DET
cana-357	19	5	examples	example	NOUN
cana-357	19	6	let	let	VERB
cana-357	19	7	m	m	PRON
cana-357	19	8	be	be	AUX
cana-357	19	9	a	a	DET
cana-357	19	10	smooth	smooth	ADJ
cana-357	19	11	manifold	manifold	NOUN
cana-357	19	12	of	of	ADP
cana-357	19	13	dimension	dimension	NOUN
cana-357	19	14	,	,	PUNCT
cana-357	19	15	.then	.then	PUNCT
cana-357	19	16	locally	locally	ADV
cana-357	19	17	we	we	PRON
cana-357	19	18	have	have	AUX
cana-357	19	19	,	,	PUNCT
cana-357	19	20	coordinate	coordinate	VERB
cana-357	19	21	chatrs	chatrs	NOUN
cana-357	19	22	,	,	PUNCT
cana-357	19	23	which	which	PRON
cana-357	19	24	are	be	AUX
cana-357	19	25	smooth	smooth	ADJ
cana-357	19	26	and	and	CCONJ
cana-357	19	27	on	on	ADP
cana-357	19	28	thus	thus	ADV
cana-357	19	29	(	(	PUNCT
cana-357	19	30	pairs	pair	NOUN
cana-357	19	31	as	as	ADP
cana-357	19	32	compertable	compertable	ADJ
cana-357	19	33	,	,	PUNCT
cana-357	19	34	when	when	SCONJ
cana-357	19	35	it	it	PRON
cana-357	19	36	comes	come	VERB
cana-357	19	37	to	to	ADP
cana-357	19	38	for	for	ADP
cana-357	19	39	different	different	ADJ
cana-357	19	40	and	and	CCONJ
cana-357	19	41	the	the	DET
cana-357	19	42	transformation	transformation	NOUN
cana-357	19	43	maps	map	NOUN
cana-357	19	44	being	be	AUX
cana-357	19	45	smooth	smooth	ADJ
cana-357	19	46	the	the	DET
cana-357	19	47	following	follow	VERB
cana-357	19	48	diagram	diagram	NOUN
cana-357	19	49	clarifies	clarify	VERB
cana-357	19	50	these	these	DET
cana-357	19	51	issues	issue	NOUN
cana-357	19	52	.	.	PUNCT
cana-357	20	1	:	:	PUNCT
cana-357	20	2	is	be	AUX
cana-357	20	3	smooth.similarly	smooth.similarly	ADV
cana-357	20	4	,	,	PUNCT
cana-357	20	5	we	we	PRON
cana-357	20	6	can	can	AUX
cana-357	20	7	take	take	VERB
cana-357	20	8	the	the	DET
cana-357	20	9	other	other	ADJ
cana-357	20	10	one	one	NOUN
cana-357	20	11	as	as	ADV
cana-357	20	12	well	well	ADV
cana-357	20	13	i.e	i.e	ADP
cana-357	20	14	being	be	AUX
cana-357	20	15	smooth.to	smooth.to	NOUN
cana-357	20	16	make	make	VERB
cana-357	20	17	things	thing	NOUN
cana-357	20	18	simple	simple	ADJ
cana-357	20	19	we	we	PRON
cana-357	20	20	shall	shall	AUX
cana-357	20	21	use	use	VERB
cana-357	20	22	notation	notation	NOUN
cana-357	20	23	instead	instead	ADV
cana-357	20	24	,	,	PUNCT
cana-357	20	25	and	and	CCONJ
cana-357	20	26	,	,	PUNCT
cana-357	20	27	,	,	PUNCT
cana-357	20	28	is	be	AUX
cana-357	20	29	open	open	ADJ
cana-357	20	30	in	in	ADP
cana-357	20	31	some	some	DET
cana-357	20	32	times	time	NOUN
cana-357	20	33	we	we	PRON
cana-357	20	34	keep	keep	VERB
cana-357	20	35	switching	switch	VERB
cana-357	20	36	from	from	ADP
cana-357	20	37	one	one	NUM
cana-357	20	38	notion	notion	NOUN
cana-357	20	39	to	to	ADP
cana-357	20	40	the	the	DET
cana-357	20	41	other	other	ADJ
cana-357	20	42	,	,	PUNCT
cana-357	20	43	without	without	ADP
cana-357	20	44	any	any	DET
cana-357	20	45	compassion	compassion	NOUN
cana-357	20	46	.	.	PUNCT
cana-357	21	1	2.1	2.1	NUM
cana-357	21	2	definition	definition	NOUN
cana-357	21	3	:	:	PUNCT
cana-357	21	4	diffeomorphisms	diffeomorphism	NOUN
cana-357	21	5	:	:	PUNCT
cana-357	21	6	diff	diff	NOUN
cana-357	21	7	is	be	AUX
cana-357	21	8	a	a	DET
cana-357	21	9	group	group	NOUN
cana-357	21	10	under	under	ADP
cana-357	21	11	composition	composition	NOUN
cana-357	21	12	of	of	ADP
cana-357	21	13	maps	map	NOUN
cana-357	21	14	and	and	CCONJ
cana-357	21	15	if	if	SCONJ
cana-357	21	16	g	g	PROPN
cana-357	21	17	is	be	AUX
cana-357	21	18	any	any	DET
cana-357	21	19	group	group	NOUN
cana-357	21	20	then	then	ADV
cana-357	21	21	is	be	AUX
cana-357	21	22	an	an	DET
cana-357	21	23	important	important	ADJ
cana-357	21	24	group	group	NOUN
cana-357	21	25	of	of	ADP
cana-357	21	26	homomorphisms	homomorphism	NOUN
cana-357	21	27	.	.	PUNCT
cana-357	22	1	i.e	i.e	X
cana-357	22	2	then	then	ADV
cana-357	22	3	,	,	PUNCT
cana-357	22	4	where	where	SCONJ
cana-357	22	5	the	the	DET
cana-357	22	6	map	map	NOUN
cana-357	22	7	is	be	AUX
cana-357	22	8	an	an	DET
cana-357	22	9	automorphism	automorphism	NOUN
cana-357	22	10	(	(	PUNCT
cana-357	22	11	group	group	NOUN
cana-357	22	12	action	action	NOUN
cana-357	22	13	naturally	naturally	ADV
cana-357	22	14	arise	arise	VERB
cana-357	22	15	in	in	ADP
cana-357	22	16	this	this	DET
cana-357	22	17	fashion	fashion	NOUN
cana-357	22	18	)	)	PUNCT
cana-357	22	19	.	.	PUNCT
cana-357	23	1	observe	observe	VERB
cana-357	23	2	that	that	SCONJ
cana-357	23	3	and	and	CCONJ
cana-357	23	4	things	thing	NOUN
cana-357	23	5	go	go	VERB
cana-357	23	6	inthat	inthat	ADJ
cana-357	23	7	way	way	NOUN
cana-357	23	8	.i.e	.i.e	PUNCT
cana-357	23	9	is	be	AUX
cana-357	23	10	at	at	ADP
cana-357	23	11	the	the	DET
cana-357	23	12	map	map	NOUN
cana-357	23	13	is	be	AUX
cana-357	23	14	at	at	ADP
cana-357	23	15	the	the	DET
cana-357	23	16	map	map	NOUN
cana-357	23	17	i.e	i.e	INTJ
cana-357	23	18	as	as	ADP
cana-357	23	19	which	which	PRON
cana-357	23	20	we	we	PRON
cana-357	23	21	denote	denote	VERB
cana-357	23	22	it	it	PRON
cana-357	23	23	by	by	ADP
cana-357	23	24	i.e	i.e	X
cana-357	23	25	,	,	PUNCT
cana-357	23	26	2.2	2.2	NUM
cana-357	23	27	proposition	proposition	NOUN
cana-357	23	28	:	:	PUNCT
cana-357	23	29	diffeomorphism	diffeomorphism	NOUN
cana-357	23	30	group	group	NOUN
cana-357	23	31	(	(	PUNCT
cana-357	23	32	m	m	NOUN
cana-357	23	33	)	)	PUNCT
cana-357	23	34	is	be	AUX
cana-357	23	35	smooth	smooth	ADJ
cana-357	23	36	in	in	ADP
cana-357	23	37	fact	fact	NOUN
cana-357	23	38	it	it	PRON
cana-357	23	39	is	be	AUX
cana-357	23	40	a	a	DET
cana-357	23	41	lie	lie	NOUN
cana-357	23	42	group	group	NOUN
cana-357	23	43	.	.	PUNCT
cana-357	24	1	proof	proof	NOUN
cana-357	24	2	:	:	PUNCT
cana-357	24	3	a	a	DET
cana-357	24	4	lie	lie	NOUN
cana-357	24	5	group	group	NOUN
cana-357	24	6	is	be	AUX
cana-357	24	7	a	a	DET
cana-357	24	8	group	group	NOUN
cana-357	24	9	and	and	CCONJ
cana-357	24	10	at	at	ADP
cana-357	24	11	the	the	DET
cana-357	24	12	same	same	ADJ
cana-357	24	13	times	time	NOUN
cana-357	24	14	a	a	DET
cana-357	24	15	topological	topological	ADJ
cana-357	24	16	space	space	NOUN
cana-357	24	17	.	.	PUNCT
cana-357	25	1	for	for	ADP
cana-357	25	2	our	our	PRON
cana-357	25	3	study	study	NOUN
cana-357	25	4	we	we	PRON
cana-357	25	5	confine	confine	VERB
cana-357	25	6	to	to	ADP
cana-357	25	7	and	and	CCONJ
cana-357	25	8	its	its	PRON
cana-357	25	9	subgroups	subgroup	NOUN
cana-357	25	10	,	,	PUNCT
cana-357	25	11	which	which	PRON
cana-357	25	12	are	be	AUX
cana-357	25	13	smooth	smooth	ADJ
cana-357	25	14	manifolds	manifold	NOUN
cana-357	25	15	at	at	ADP
cana-357	25	16	the	the	DET
cana-357	25	17	same	same	ADJ
cana-357	25	18	time	time	NOUN
cana-357	25	19	.	.	PUNCT
cana-357	26	1	s.	s.	PROPN
cana-357	26	2	t.	t.	PROPN
cana-357	26	3	yaninitiated	yaninitiate	VERB
cana-357	26	4	and	and	CCONJ
cana-357	26	5	came	come	VERB
cana-357	26	6	up	up	ADP
cana-357	26	7	without	without	ADP
cana-357	26	8	studying	study	VERB
cana-357	26	9	results	result	NOUN
cana-357	26	10	on	on	ADP
cana-357	26	11	pde	pde	NOUN
cana-357	26	12	’s	’s	PART
cana-357	26	13	and	and	CCONJ
cana-357	26	14	their	their	PRON
cana-357	26	15	intense	intense	ADJ
cana-357	26	16	connections	connection	NOUN
cana-357	26	17	with	with	ADP
cana-357	26	18	the	the	DET
cana-357	26	19	geometry	geometry	NOUN
cana-357	26	20	of	of	ADP
cana-357	26	21	the	the	DET
cana-357	26	22	underlying	underlie	VERB
cana-357	26	23	manifold	manifold	NOUN
cana-357	26	24	.	.	PUNCT
cana-357	27	1	recently	recently	ADV
cana-357	27	2	,	,	PUNCT
cana-357	27	3	there	there	PRON
cana-357	27	4	are	be	VERB
cana-357	27	5	results	result	NOUN
cana-357	27	6	from	from	ADP
cana-357	27	7	the	the	DET
cana-357	27	8	study	study	NOUN
cana-357	27	9	on	on	ADP
cana-357	27	10	weak	weak	ADJ
cana-357	27	11	and	and	CCONJ
cana-357	27	12	strong	strong	ADJ
cana-357	27	13	unique	unique	ADJ
cana-357	27	14	continuationfor	continuationfor	SCONJ
cana-357	27	15	systems	system	NOUN
cana-357	27	16	of	of	ADP
cana-357	27	17	linear	linear	PROPN
cana-357	27	18	and	and	CCONJ
cana-357	27	19	non	non	ADJ
cana-357	27	20	-	-	ADJ
cana-357	27	21	linear	linear	ADJ
cana-357	27	22	pde	pde	NOUN
cana-357	27	23	’s	’	VERB
cana-357	27	24	which	which	PRON
cana-357	27	25	arise	arise	VERB
cana-357	27	26	as	as	ADP
cana-357	27	27	sections	section	NOUN
cana-357	27	28	of	of	ADP
cana-357	27	29	a	a	DET
cana-357	27	30	vector	vector	NOUN
cana-357	27	31	subcommunications	subcommunication	NOUN
cana-357	27	32	on	on	ADP
cana-357	27	33	applied	apply	VERB
cana-357	27	34	nonlinear	nonlinear	ADJ
cana-357	27	35	analysis	analysis	NOUN
cana-357	27	36	issn	issn	NOUN
cana-357	27	37	:	:	PUNCT
cana-357	27	38	1074	1074	NUM
cana-357	27	39	-	-	PUNCT
cana-357	27	40	133x	133x	NUM
cana-357	27	41	vol	vol	NOUN
cana-357	27	42	31	31	NUM
cana-357	27	43	no	no	NOUN
cana-357	27	44	.	.	NOUN
cana-357	27	45	1	1	NUM
cana-357	27	46	(	(	PUNCT
cana-357	27	47	2024	2024	NUM
cana-357	27	48	)	)	PUNCT
cana-357	27	49	138	138	NUM
cana-357	27	50	https://internationalpubls.com	https://internationalpubls.com	X
cana-357	27	51	bundle	bundle	NOUN
cana-357	27	52	of	of	ADP
cana-357	27	53	the	the	DET
cana-357	27	54	complex	complex	ADJ
cana-357	27	55	tangent	tangent	NOUN
cana-357	27	56	bundle	bundle	NOUN
cana-357	27	57	which	which	PRON
cana-357	27	58	we	we	PRON
cana-357	27	59	take	take	VERB
cana-357	27	60	it	it	PRON
cana-357	27	61	as	as	ADP
cana-357	27	62	of	of	ADP
cana-357	27	63	and	and	CCONJ
cana-357	27	64	,	,	PUNCT
cana-357	27	65	its	its	PRON
cana-357	27	66	cotangent	cotangent	NOUN
cana-357	27	67	versions	version	NOUN
cana-357	27	68	,	,	PUNCT
cana-357	27	69	orthogonal	orthogonal	ADJ
cana-357	27	70	to	to	PART
cana-357	27	71	and	and	CCONJ
cana-357	27	72	is	be	AUX
cana-357	27	73	locally	locally	ADV
cana-357	27	74	generated	generate	VERB
cana-357	27	75	as	as	ADP
cana-357	27	76	exact	exact	ADJ
cana-357	27	77	forms	form	NOUN
cana-357	27	78	(	(	PUNCT
cana-357	27	79	intigrebilityissues	intigrebilityissue	NOUN
cana-357	27	80	,	,	PUNCT
cana-357	27	81	incorporated	incorporate	VERB
cana-357	27	82	)	)	PUNCT
cana-357	27	83	.	.	PUNCT
cana-357	28	1	firstly	firstly	ADV
cana-357	28	2	,	,	PUNCT
cana-357	28	3	we	we	PRON
cana-357	28	4	shall	shall	AUX
cana-357	28	5	deal	deal	VERB
cana-357	28	6	the	the	DET
cana-357	28	7	local	local	ADJ
cana-357	28	8	integrability	integrability	NOUN
cana-357	28	9	for	for	ADP
cana-357	28	10	the	the	DET
cana-357	28	11	sub	sub	NOUN
cana-357	28	12	-	-	NOUN
cana-357	28	13	bundle	bundle	ADJ
cana-357	28	14	ϑ	ϑ	X
cana-357	28	15	of	of	ADP
cana-357	28	16	and	and	CCONJ
cana-357	28	17	provide	provide	VERB
cana-357	28	18	explicit	explicit	ADJ
cana-357	28	19	expressions	expression	NOUN
cana-357	28	20	for	for	ADP
cana-357	28	21	the	the	DET
cana-357	28	22	basis	basis	NOUN
cana-357	28	23	a	a	DET
cana-357	28	24	local	local	ADJ
cana-357	28	25	basis	basis	NOUN
cana-357	28	26	of	of	ADP
cana-357	28	27	ϑ	ϑ	PROPN
cana-357	28	28	over	over	ADP
cana-357	28	29	a	a	DET
cana-357	28	30	neighbourhood	neighbourhood	NOUN
cana-357	28	31	for	for	ADP
cana-357	28	32	each	each	DET
cana-357	28	33	point	point	NOUN
cana-357	28	34	in	in	ADP
cana-357	28	35	.	.	PUNCT
cana-357	29	1	3	3	X
cana-357	29	2	.	.	X
cana-357	29	3	formulation	formulation	NOUN
cana-357	29	4	of	of	ADP
cana-357	29	5	local	local	ADJ
cana-357	29	6	integrable	integrable	ADJ
cana-357	29	7	structure	structure	NOUN
cana-357	29	8	since	since	SCONJ
cana-357	29	9	,	,	PUNCT
cana-357	29	10	pde	pde	PROPN
cana-357	29	11	’s	’s	PART
cana-357	29	12	arise	arise	NOUN
cana-357	29	13	as	as	ADP
cana-357	29	14	sections	section	NOUN
cana-357	29	15	of	of	ADP
cana-357	29	16	vector	vector	NOUN
cana-357	29	17	bundles	bundle	NOUN
cana-357	29	18	rather	rather	ADV
cana-357	29	19	sub	sub	NOUN
cana-357	29	20	-	-	NOUN
cana-357	29	21	bundles	bundle	NOUN
cana-357	29	22	of	of	ADP
cana-357	29	23	vector	vector	NOUN
cana-357	29	24	bundles	bundle	NOUN
cana-357	29	25	where	where	SCONJ
cana-357	29	26	is	be	AUX
cana-357	29	27	a	a	DET
cana-357	29	28	connected	connected	ADJ
cana-357	29	29	smooth	smooth	ADJ
cana-357	29	30	manifold	manifold	NOUN
cana-357	29	31	.	.	PUNCT
cana-357	30	1	the	the	DET
cana-357	30	2	bundle	bundle	NOUN
cana-357	30	3	satisfies	satisfy	VERB
cana-357	30	4	the	the	DET
cana-357	30	5	involutionly	involutionly	ADJ
cana-357	30	6	condition	condition	NOUN
cana-357	30	7	ϑ	ϑ	X
cana-357	30	8	…	…	PUNCT
cana-357	30	9	…	…	SYM
cana-357	30	10	……	……	X
cana-357	30	11	(	(	PUNCT
cana-357	30	12	1	1	X
cana-357	30	13	)	)	PUNCT
cana-357	30	14	the	the	DET
cana-357	30	15	usual	usual	ADJ
cana-357	30	16	[	[	PUNCT
cana-357	30	17	,	,	PUNCT
cana-357	30	18	]	]	PUNCT
cana-357	30	19	lie	lie	VERB
cana-357	30	20	bracket	bracket	NOUN
cana-357	30	21	of	of	ADP
cana-357	30	22	sections	section	NOUN
cana-357	30	23	in	in	ADP
cana-357	30	24	the	the	DET
cana-357	30	25	sub	sub	NOUN
cana-357	30	26	-	-	NOUN
cana-357	30	27	bundle	bundle	ADJ
cana-357	30	28	ϑ	ϑ	X
cana-357	30	29	of	of	ADP
cana-357	30	30	the	the	DET
cana-357	30	31	complexified	complexifie	VERB
cana-357	30	32	tangent	tangent	NOUN
cana-357	30	33	bundle	bundle	NOUN
cana-357	30	34	of	of	ADP
cana-357	30	35	.if	.if	PROPN
cana-357	30	36	are	be	AUX
cana-357	30	37	sections	section	NOUN
cana-357	30	38	of	of	ADP
cana-357	30	39	ϑ	ϑ	X
cana-357	30	40	,	,	PUNCT
cana-357	30	41	the	the	DET
cana-357	30	42	lie	lie	NOUN
cana-357	30	43	bracket	bracket	NOUN
cana-357	30	44	[	[	PUNCT
cana-357	30	45	is	be	AUX
cana-357	30	46	also	also	ADV
cana-357	30	47	section	section	NOUN
cana-357	30	48	of	of	ADP
cana-357	30	49	ϑ.	ϑ.	NOUN
cana-357	30	50	we	we	PRON
cana-357	30	51	always	always	ADV
cana-357	30	52	assume	assume	VERB
cana-357	30	53	that	that	SCONJ
cana-357	30	54	ϑ	ϑ	NOUN
cana-357	30	55	is	be	AUX
cana-357	30	56	locally	locally	ADV
cana-357	30	57	integrable.then	integrable.then	ADV
cana-357	30	58	there	there	PRON
cana-357	30	59	exists	exist	VERB
cana-357	30	60	sections	section	NOUN
cana-357	30	61	which	which	PRON
cana-357	30	62	are	be	AUX
cana-357	30	63	solutions	solution	NOUN
cana-357	30	64	of	of	ADP
cana-357	30	65	in	in	ADP
cana-357	30	66	u	u	NOUN
cana-357	30	67	…	…	PUNCT
cana-357	30	68	…	…	PUNCT
cana-357	30	69	…	…	PUNCT
cana-357	30	70	.(2	.(2	NUM
cana-357	30	71	)	)	PUNCT
cana-357	30	72	and	and	CCONJ
cana-357	30	73	{	{	PUNCT
cana-357	30	74	are	be	AUX
cana-357	30	75	linearly	linearly	ADV
cana-357	30	76	independent	independent	ADJ
cana-357	30	77	over	over	ADP
cana-357	30	78	at	at	ADP
cana-357	30	79	each	each	DET
cana-357	30	80	part	part	NOUN
cana-357	30	81	of	of	ADP
cana-357	30	82	areterm	areterm	NOUN
cana-357	30	83	{	{	PUNCT
cana-357	30	84	a	a	DET
cana-357	30	85	complete	complete	ADJ
cana-357	30	86	set	set	NOUN
cana-357	30	87	of	of	ADP
cana-357	30	88	first	first	ADJ
cana-357	30	89	integrals	integral	NOUN
cana-357	30	90	on	on	ADP
cana-357	30	91	.	.	PUNCT
cana-357	31	1	since	since	SCONJ
cana-357	31	2	ϑ	ϑ	X
cana-357	31	3	satisfies	satisfie	NOUN
cana-357	31	4	local	local	ADJ
cana-357	31	5	integrability	integrability	NOUN
cana-357	31	6	condition	condition	NOUN
cana-357	31	7	hence	hence	ADV
cana-357	31	8	it	it	PRON
cana-357	31	9	satisfies	satisfy	VERB
cana-357	31	10	the	the	DET
cana-357	31	11	involutionly	involutionly	ADJ
cana-357	31	12	conditionalso	conditionalso	ADJ
cana-357	31	13	.	.	PUNCT
cana-357	32	1	thus	thus	ADV
cana-357	32	2	we	we	PRON
cana-357	32	3	refer	refer	VERB
cana-357	32	4	to	to	ADP
cana-357	32	5	the	the	DET
cana-357	32	6	pair	pair	NOUN
cana-357	32	7	as	as	ADP
cana-357	32	8	a	a	DET
cana-357	32	9	locally	locally	ADV
cana-357	32	10	integrable	integrable	ADJ
cana-357	32	11	structure	structure	NOUN
cana-357	32	12	.	.	PUNCT
cana-357	33	1	in	in	ADP
cana-357	33	2	such	such	DET
cana-357	33	3	a	a	DET
cana-357	33	4	structure	structure	NOUN
cana-357	33	5	,	,	PUNCT
cana-357	33	6	given	give	VERB
cana-357	33	7	any	any	DET
cana-357	33	8	point	point	NOUN
cana-357	33	9	these	these	PRON
cana-357	33	10	are	be	AUX
cana-357	33	11	local	local	ADJ
cana-357	33	12	co	co	NOUN
cana-357	33	13	-	-	NOUN
cana-357	33	14	ordinates	ordinate	NOUN
cana-357	33	15	,	,	PUNCT
cana-357	33	16	(	(	PUNCT
cana-357	33	17	i.e	i.e	X
cana-357	33	18	,	,	PUNCT
cana-357	33	19	for	for	ADP
cana-357	33	20	the	the	DET
cana-357	33	21	sections	section	NOUN
cana-357	33	22	which	which	PRON
cana-357	33	23	are	be	AUX
cana-357	33	24	satisfies	satisfie	NOUN
cana-357	33	25	of	of	ADP
cana-357	33	26	(	(	PUNCT
cana-357	33	27	2	2	NUM
cana-357	33	28	)	)	PUNCT
cana-357	33	29	,	,	PUNCT
cana-357	33	30	vanishing	vanish	VERB
cana-357	33	31	at	at	ADP
cana-357	33	32	such	such	ADJ
cana-357	33	33	that	that	SCONJ
cana-357	33	34	ϑ	ϑ	PROPN
cana-357	33	35	is	be	AUX
cana-357	33	36	generated	generate	VERB
cana-357	33	37	locally	locally	ADV
cana-357	33	38	by	by	ADP
cana-357	33	39	basis	basis	NOUN
cana-357	33	40	of	of	ADP
cana-357	33	41	the	the	DET
cana-357	33	42	form	form	NOUN
cana-357	33	43	(	(	PUNCT
cana-357	33	44	…	…	PUNCT
cana-357	33	45	…	…	PUNCT
cana-357	33	46	…	…	PUNCT
cana-357	33	47	…	…	PUNCT
cana-357	33	48	.(3	.(3	NUM
cana-357	33	49	)	)	PUNCT
cana-357	33	50	.	.	PUNCT
cana-357	34	1	3.1	3.1	NUM
cana-357	34	2	examples	example	NOUN
cana-357	34	3	:	:	PUNCT
cana-357	34	4	for	for	ADP
cana-357	34	5	the	the	DET
cana-357	34	6	non	non	ADJ
cana-357	34	7	-	-	ADJ
cana-357	34	8	linear	linear	ADJ
cana-357	34	9	systems	system	NOUN
cana-357	34	10	)	)	PUNCT
cana-357	34	11	,	,	PUNCT
cana-357	34	12	there	there	PRON
cana-357	34	13	exists	exist	VERB
cana-357	34	14	local	local	ADJ
cana-357	34	15	co	co	NOUN
cana-357	34	16	-	-	NOUN
cana-357	34	17	ordinates	ordinate	NOUN
cana-357	34	18	.	.	PUNCT
cana-357	35	1	in	in	ADP
cana-357	35	2	which	which	PRON
cana-357	35	3	the	the	DET
cana-357	35	4	equations	equation	NOUN
cana-357	35	5	take	take	VERB
cana-357	35	6	the	the	DET
cana-357	35	7	form	form	NOUN
cana-357	35	8	…	…	PUNCT
cana-357	35	9	…	…	PUNCT
cana-357	35	10	..	..	PUNCT
cana-357	35	11	(	(	PUNCT
cana-357	35	12	4	4	X
cana-357	35	13	)	)	PUNCT
cana-357	35	14	following	follow	VERB
cana-357	35	15	are	be	AUX
cana-357	35	16	some	some	DET
cana-357	35	17	examples	example	NOUN
cana-357	35	18	of	of	ADP
cana-357	35	19	locally	locally	ADV
cana-357	35	20	integrable	integrable	ADJ
cana-357	35	21	structures	structure	NOUN
cana-357	35	22	,	,	PUNCT
cana-357	35	23	first	first	ADJ
cana-357	35	24	one	one	NUM
cana-357	35	25	is	be	AUX
cana-357	35	26	for	for	ADP
cana-357	35	27	and	and	CCONJ
cana-357	35	28	the	the	DET
cana-357	35	29	later	later	ADJ
cana-357	35	30	one	one	NUM
cana-357	35	31	.	.	PUNCT
cana-357	36	1	(	(	PUNCT
cana-357	36	2	a	a	X
cana-357	36	3	)	)	PUNCT
cana-357	36	4	let	let	AUX
cana-357	36	5	be	be	AUX
cana-357	36	6	smoothlinearly	smoothlinearly	ADV
cana-357	36	7	independent	independent	ADJ
cana-357	36	8	vector	vector	NOUN
cana-357	36	9	fields	field	NOUN
cana-357	36	10	on	on	ADP
cana-357	36	11	a	a	DET
cana-357	36	12	domain	domain	NOUN
cana-357	36	13	such	such	ADJ
cana-357	36	14	that	that	SCONJ
cana-357	36	15	the	the	DET
cana-357	36	16	lie	lie	NOUN
cana-357	36	17	bracket	bracket	NOUN
cana-357	36	18	[	[	PUNCT
cana-357	36	19	is	be	AUX
cana-357	36	20	in	in	ADP
cana-357	36	21	the	the	DET
cana-357	36	22	linear	linear	ADJ
cana-357	36	23	span	span	NOUN
cana-357	36	24	of	of	ADP
cana-357	36	25	let	let	VERB
cana-357	36	26	ϑ	ϑ	PART
cana-357	36	27	denote	denote	VERB
cana-357	36	28	the	the	DET
cana-357	36	29	sub	sub	NOUN
cana-357	36	30	bundles	bundle	NOUN
cana-357	36	31	of	of	ADP
cana-357	36	32	enerated	enerate	VERB
cana-357	36	33	by	by	ADP
cana-357	36	34	these	these	DET
cana-357	36	35	vector	vector	NOUN
cana-357	36	36	fields	field	NOUN
cana-357	36	37	.	.	PUNCT
cana-357	37	1	by	by	ADP
cana-357	37	2	frobenius	frobenius	PROPN
cana-357	37	3	theorem	theorem	VERB
cana-357	37	4	,	,	PUNCT
cana-357	37	5	each	each	PRON
cana-357	37	6	is	be	AUX
cana-357	37	7	centre	centre	NOUN
cana-357	37	8	of	of	ADP
cana-357	37	9	local	local	ADJ
cana-357	37	10	coordinates	coordinate	NOUN
cana-357	37	11	in	in	ADP
cana-357	37	12	which	which	PRON
cana-357	37	13	the	the	DET
cana-357	37	14	bundles	bundle	NOUN
cana-357	37	15	is	be	AUX
cana-357	37	16	locally	locally	ADV
cana-357	37	17	generatedby	generatedby	NOUN
cana-357	37	18	.	.	PUNCT
cana-357	38	1	hence	hence	ADV
cana-357	38	2	is	be	AUX
cana-357	38	3	locally	locally	ADV
cana-357	38	4	integrable	integrable	ADJ
cana-357	38	5	and	and	CCONJ
cana-357	38	6	in	in	ADP
cana-357	38	7	these	these	DET
cana-357	38	8	coordinates	coordinate	NOUN
cana-357	38	9	any	any	DET
cana-357	38	10	solution	solution	NOUN
cana-357	38	11	has	have	VERB
cana-357	38	12	the	the	DET
cana-357	38	13	form	form	NOUN
cana-357	38	14	,	,	PUNCT
cana-357	38	15	.	.	PUNCT
cana-357	39	1	for	for	ADP
cana-357	39	2	the	the	DET
cana-357	39	3	case	case	NOUN
cana-357	39	4	,	,	PUNCT
cana-357	39	5	,	,	PUNCT
cana-357	39	6	we	we	PRON
cana-357	39	7	have	have	VERB
cana-357	39	8	the	the	DET
cana-357	39	9	following	follow	VERB
cana-357	39	10	description	description	NOUN
cana-357	39	11	.	.	PUNCT
cana-357	40	1	communications	communication	NOUN
cana-357	40	2	on	on	ADP
cana-357	40	3	applied	apply	VERB
cana-357	40	4	nonlinear	nonlinear	ADJ
cana-357	40	5	analysis	analysis	NOUN
cana-357	40	6	issn	issn	NOUN
cana-357	40	7	:	:	PUNCT
cana-357	40	8	1074	1074	NUM
cana-357	40	9	-	-	PUNCT
cana-357	40	10	133x	133x	NUM
cana-357	40	11	vol	vol	NOUN
cana-357	40	12	31	31	NUM
cana-357	40	13	no	no	NOUN
cana-357	40	14	.	.	NOUN
cana-357	40	15	1	1	NUM
cana-357	40	16	(	(	PUNCT
cana-357	40	17	2024	2024	NUM
cana-357	40	18	)	)	PUNCT
cana-357	40	19	139	139	NUM
cana-357	40	20	https://internationalpubls.com	https://internationalpubls.com	X
cana-357	40	21	(	(	PUNCT
cana-357	40	22	b	b	X
cana-357	40	23	)	)	PUNCT
cana-357	40	24	we	we	PRON
cana-357	40	25	know	know	VERB
cana-357	40	26	that	that	DET
cana-357	40	27	≃	≃	NOUN
cana-357	40	28	hence	hence	ADV
cana-357	40	29	,	,	PUNCT
cana-357	40	30	the	the	DET
cana-357	40	31	basis	basis	NOUN
cana-357	40	32	in	in	ADP
cana-357	40	33	this	this	DET
cana-357	40	34	case	case	NOUN
cana-357	40	35	will	will	AUX
cana-357	40	36	be	be	AUX
cana-357	40	37	2	2	NUM
cana-357	40	38	-	-	PUNCT
cana-357	40	39	times	time	NOUN
cana-357	40	40	the	the	DET
cana-357	40	41	linearly	linearly	ADV
cana-357	40	42	independent	independent	ADJ
cana-357	40	43	set	set	NOUN
cana-357	40	44	of	of	ADP
cana-357	40	45	vector	vector	NOUN
cana-357	40	46	field	field	NOUN
cana-357	40	47	(	(	PUNCT
cana-357	40	48	as	as	SCONJ
cana-357	40	49	noticed	notice	VERB
cana-357	40	50	in	in	ADP
cana-357	40	51	the	the	DET
cana-357	40	52	real	real	ADJ
cana-357	40	53	case	case	NOUN
cana-357	40	54	)	)	PUNCT
cana-357	40	55	.then	.then	X
cana-357	41	1	ϑ	ϑ	X
cana-357	41	2	is	be	AUX
cana-357	41	3	the	the	DET
cana-357	41	4	associated	associated	ADJ
cana-357	41	5	bundle	bundle	NOUN
cana-357	41	6	generated	generate	VERB
cana-357	41	7	by	by	ADP
cana-357	41	8	.	.	PUNCT
cana-357	42	1	the	the	DET
cana-357	42	2	co	co	ADJ
cana-357	42	3	-	-	ADJ
cana-357	42	4	ordinate	ordinate	NOUN
cana-357	42	5	functions	function	NOUN
cana-357	42	6	are	be	AUX
cana-357	42	7	complete	complete	ADJ
cana-357	42	8	set	set	NOUN
cana-357	42	9	of	of	ADP
cana-357	42	10	first	first	ADJ
cana-357	42	11	integrals	integral	NOUN
cana-357	42	12	and	and	CCONJ
cana-357	42	13	so	so	ADV
cana-357	42	14	(	(	PUNCT
cana-357	42	15	ϑ	ϑ	X
cana-357	42	16	)	)	PUNCT
cana-357	42	17	is	be	AUX
cana-357	42	18	locally	locally	ADV
cana-357	42	19	integrable	integrable	ADJ
cana-357	42	20	.	.	PUNCT
cana-357	43	1	here	here	ADV
cana-357	43	2	the	the	DET
cana-357	43	3	solutions	solution	NOUN
cana-357	43	4	are	be	AUX
cana-357	43	5	holomorphic	holomorphic	ADJ
cana-357	43	6	functions	function	NOUN
cana-357	43	7	.	.	PUNCT
cana-357	44	1	3.2proposition	3.2proposition	NUM
cana-357	44	2	:	:	PUNCT
cana-357	44	3	letm	letm	NOUN
cana-357	44	4	,	,	PUNCT
cana-357	44	5	as	as	ADP
cana-357	44	6	earlier	early	ADV
cana-357	44	7	and	and	CCONJ
cana-357	44	8	then	then	ADV
cana-357	44	9	give	give	VERB
cana-357	44	10	rise	rise	NOUN
cana-357	44	11	to	to	ADP
cana-357	44	12	a	a	DET
cana-357	44	13	locally	locally	ADV
cana-357	44	14	integrable	integrable	ADJ
cana-357	44	15	system	system	NOUN
cana-357	44	16	(	(	PUNCT
cana-357	44	17	ϑ	ϑ	NOUN
cana-357	44	18	)	)	PUNCT
cana-357	44	19	,	,	PUNCT
cana-357	44	20	where	where	SCONJ
cana-357	44	21	the	the	DET
cana-357	44	22	basis	basis	NOUN
cana-357	44	23	is	be	AUX
cana-357	44	24	generated	generate	VERB
cana-357	44	25	by	by	ADP
cana-357	44	26	linearly	linearly	ADV
cana-357	44	27	independent	independent	ADJ
cana-357	44	28	real	real	ADJ
cana-357	44	29	analytic	analytic	ADJ
cana-357	44	30	and	and	CCONJ
cana-357	44	31	complex	complex	ADJ
cana-357	44	32	valued	value	VERB
cana-357	44	33	coefficient	coefficient	NOUN
cana-357	44	34	on	on	ADP
cana-357	44	35	which	which	PRON
cana-357	44	36	is	be	AUX
cana-357	44	37	complex	complex	ADJ
cana-357	44	38	valued	value	VERB
cana-357	44	39	.	.	PUNCT
cana-357	45	1	proof	proof	NOUN
cana-357	45	2	:	:	PUNCT
cana-357	45	3	on	on	ADP
cana-357	45	4	the	the	DET
cana-357	45	5	same	same	ADJ
cana-357	45	6	lines	line	NOUN
cana-357	45	7	of	of	ADP
cana-357	45	8	example	example	NOUN
cana-357	45	9	(	(	PUNCT
cana-357	45	10	a	a	NOUN
cana-357	45	11	)	)	PUNCT
cana-357	45	12	and	and	CCONJ
cana-357	45	13	holomorphicversion	holomorphicversion	NOUN
cana-357	45	14	of	of	ADP
cana-357	45	15	frobeniustheorem	frobeniustheorem	PROPN
cana-357	45	16	,	,	PUNCT
cana-357	45	17	the	the	DET
cana-357	45	18	properties	property	NOUN
cana-357	45	19	follow	follow	VERB
cana-357	45	20	.	.	PUNCT
cana-357	46	1	4	4	X
cana-357	46	2	.	.	X
cana-357	46	3	the	the	DET
cana-357	46	4	locally	locally	ADV
cana-357	46	5	integrable	integrable	ADJ
cana-357	46	6	structures	structure	NOUN
cana-357	46	7	and	and	CCONJ
cana-357	46	8	integral	integral	ADJ
cana-357	46	9	curves	curve	NOUN
cana-357	46	10	here	here	ADV
cana-357	46	11	the	the	DET
cana-357	46	12	setting	setting	NOUN
cana-357	46	13	is	be	AUX
cana-357	46	14	and	and	CCONJ
cana-357	46	15	sections	section	NOUN
cana-357	46	16	are	be	AUX
cana-357	46	17	interms	interm	NOUN
cana-357	46	18	of	of	ADP
cana-357	46	19	integral	integral	ADJ
cana-357	46	20	curves	curve	NOUN
cana-357	46	21	,	,	PUNCT
cana-357	46	22	generating	generate	VERB
cana-357	46	23	them	they	PRON
cana-357	46	24	.	.	PUNCT
cana-357	47	1	let	let	AUX
cana-357	47	2	be	be	AUX
cana-357	47	3	a	a	DET
cana-357	47	4	smooth	smooth	ADJ
cana-357	47	5	curve	curve	NOUN
cana-357	47	6	,	,	PUNCT
cana-357	47	7	such	such	ADJ
cana-357	47	8	that	that	SCONJ
cana-357	47	9	(	(	PUNCT
cana-357	47	10	i	i	NOUN
cana-357	47	11	)	)	PUNCT
cana-357	47	12	m	m	PROPN
cana-357	47	13	(	(	PUNCT
cana-357	47	14	ii	ii	NOUN
cana-357	47	15	)	)	PUNCT
cana-357	47	16	for	for	ADP
cana-357	47	17	and	and	CCONJ
cana-357	47	18	,	,	PUNCT
cana-357	47	19	is	be	AUX
cana-357	47	20	locally	locally	ADV
cana-357	47	21	defined	define	VERB
cana-357	47	22	smooth	smooth	ADJ
cana-357	47	23	vector	vector	NOUN
cana-357	47	24	field	field	NOUN
cana-357	47	25	for	for	ADP
cana-357	47	26	each	each	PRON
cana-357	47	27	is	be	AUX
cana-357	47	28	an	an	DET
cana-357	47	29	integral	integral	ADJ
cana-357	47	30	curve	curve	NOUN
cana-357	47	31	as	as	SCONJ
cana-357	47	32	the	the	DET
cana-357	47	33	case	case	NOUN
cana-357	47	34	may	may	AUX
cana-357	47	35	be	be	AUX
cana-357	47	36	we	we	PRON
cana-357	47	37	assume	assume	VERB
cana-357	47	38	that	that	SCONJ
cana-357	47	39	m	m	NOUN
cana-357	47	40	is	be	AUX
cana-357	47	41	orientable	orientable	ADJ
cana-357	47	42	)	)	PUNCT
cana-357	47	43	.	.	PUNCT
cana-357	48	1	we	we	PRON
cana-357	48	2	shall	shall	AUX
cana-357	48	3	be	be	AUX
cana-357	48	4	interested	interested	ADJ
cana-357	48	5	in	in	ADP
cana-357	48	6	thus	thus	ADV
cana-357	48	7	for	for	ADP
cana-357	48	8	in	in	ADP
cana-357	48	9	is	be	AUX
cana-357	48	10	an	an	DET
cana-357	48	11	non	non	ADJ
cana-357	48	12	singular	singular	ADJ
cana-357	48	13	matrix	matrix	NOUN
cana-357	48	14	with	with	ADP
cana-357	48	15	real	real	ADJ
cana-357	48	16	entries	entry	NOUN
cana-357	48	17	.	.	PUNCT
cana-357	49	1	for	for	ADP
cana-357	49	2	an	an	DET
cana-357	49	3	open	open	ADJ
cana-357	49	4	set	set	NOUN
cana-357	49	5	of	of	ADP
cana-357	49	6	as	as	ADP
cana-357	49	7	neighborhood	neighborhood	NOUN
cana-357	49	8	for	for	ADP
cana-357	49	9	each	each	PRON
cana-357	49	10	in	in	ADV
cana-357	49	11	,	,	PUNCT
cana-357	49	12	we	we	PRON
cana-357	49	13	shall	shall	AUX
cana-357	49	14	consider	consider	VERB
cana-357	49	15	its	its	PRON
cana-357	49	16	,	,	PUNCT
cana-357	49	17	where	where	SCONJ
cana-357	49	18	and	and	CCONJ
cana-357	49	19	(	(	PUNCT
cana-357	49	20	(	(	PUNCT
cana-357	49	21	ϑ	ϑ	X
cana-357	49	22	)	)	PUNCT
cana-357	49	23	a	a	DET
cana-357	49	24	locally	locally	ADV
cana-357	49	25	integrable	integrable	ADJ
cana-357	49	26	structure	structure	NOUN
cana-357	49	27	.	.	PUNCT
cana-357	50	1	for	for	ADP
cana-357	50	2	connected	connected	ADJ
cana-357	50	3	we	we	PRON
cana-357	50	4	shall	shall	AUX
cana-357	50	5	,	,	PUNCT
cana-357	50	6	simply	simply	ADV
cana-357	50	7	deal	deal	VERB
cana-357	50	8	with	with	ADP
cana-357	50	9	its	its	PRON
cana-357	50	10	analogue	analogue	NOUN
cana-357	50	11	i.e	i.e	X
cana-357	50	12	i.e	i.e	X
cana-357	50	13	and	and	CCONJ
cana-357	50	14	corresponding	correspond	VERB
cana-357	50	15	locally	locally	ADV
cana-357	50	16	integrable	integrable	ADJ
cana-357	50	17	structure	structure	NOUN
cana-357	50	18	on	on	ADP
cana-357	50	19	(	(	PUNCT
cana-357	50	20	(	(	PUNCT
cana-357	50	21	ϑ	ϑ	NOUN
cana-357	50	22	)	)	PUNCT
cana-357	50	23	.	.	PUNCT
cana-357	51	1	4.1	4.1	NUM
cana-357	51	2	definition	definition	NOUN
cana-357	51	3	:	:	PUNCT
cana-357	51	4	the	the	DET
cana-357	51	5	locally	locally	ADV
cana-357	51	6	integrable	integrable	ADJ
cana-357	51	7	structure	structure	NOUN
cana-357	51	8	is	be	AUX
cana-357	51	9	said	say	VERB
cana-357	51	10	to	to	PART
cana-357	51	11	satisfies	satisfie	NOUN
cana-357	51	12	the	the	DET
cana-357	51	13	weak	weak	ADJ
cana-357	51	14	unique	unique	ADJ
cana-357	51	15	continuation	continuation	NOUN
cana-357	51	16	property	property	NOUN
cana-357	51	17	if	if	SCONJ
cana-357	51	18	any	any	DET
cana-357	51	19	solution	solution	NOUN
cana-357	51	20	that	that	PRON
cana-357	51	21	vanishes	vanish	VERB
cana-357	51	22	on	on	ADP
cana-357	51	23	a	a	DET
cana-357	51	24	non	non	ADJ
cana-357	51	25	-	-	ADJ
cana-357	51	26	empty	empty	ADJ
cana-357	51	27	open	open	ADJ
cana-357	51	28	subset	subset	NOUN
cana-357	51	29	vanishes	vanish	VERB
cana-357	51	30	on	on	ADP
cana-357	51	31	.	.	PUNCT
cana-357	52	1	4.2	4.2	NUM
cana-357	52	2	definition	definition	NOUN
cana-357	52	3	:	:	PUNCT
cana-357	52	4	the	the	DET
cana-357	52	5	locally	locally	ADV
cana-357	52	6	integrable	integrable	ADJ
cana-357	52	7	structure	structure	NOUN
cana-357	52	8	satisfies	satisfy	VERB
cana-357	52	9	the	the	DET
cana-357	52	10	strong	strong	ADJ
cana-357	52	11	unique	unique	ADJ
cana-357	52	12	continuation	continuation	NOUN
cana-357	52	13	property	property	NOUN
cana-357	52	14	if	if	SCONJ
cana-357	52	15	any	any	DET
cana-357	52	16	solution	solution	NOUN
cana-357	52	17	that	that	PRON
cana-357	52	18	is	be	AUX
cana-357	52	19	flat	flat	ADJ
cana-357	52	20	at	at	ADP
cana-357	52	21	a	a	DET
cana-357	52	22	point	point	NOUN
cana-357	52	23	vanishes	vanish	VERB
cana-357	52	24	on	on	ADP
cana-357	52	25	.	.	PUNCT
cana-357	53	1	the	the	DET
cana-357	53	2	validity	validity	NOUN
cana-357	53	3	of	of	ADP
cana-357	53	4	weak	weak	ADJ
cana-357	53	5	unique	unique	ADJ
cana-357	53	6	continuation	continuation	NOUN
cana-357	53	7	property	property	NOUN
cana-357	53	8	both	both	PRON
cana-357	53	9	for	for	ADP
cana-357	53	10	linear	linear	ADJ
cana-357	53	11	and	and	CCONJ
cana-357	53	12	non	non	ADJ
cana-357	53	13	-	-	ADJ
cana-357	53	14	linear	linear	ADJ
cana-357	53	15	systems	system	NOUN
cana-357	53	16	is	be	AUX
cana-357	53	17	connected	connect	VERB
cana-357	53	18	with	with	ADP
cana-357	53	19	the	the	DET
cana-357	53	20	orbits	orbit	NOUN
cana-357	53	21	of	of	ADP
cana-357	53	22	the	the	DET
cana-357	53	23	system	system	NOUN
cana-357	53	24	,	,	PUNCT
cana-357	53	25	which	which	PRON
cana-357	53	26	is	be	AUX
cana-357	53	27	a	a	DET
cana-357	53	28	very	very	ADV
cana-357	53	29	useful	useful	ADJ
cana-357	53	30	geometric	geometric	ADJ
cana-357	53	31	objects	object	NOUN
cana-357	53	32	associated	associate	VERB
cana-357	53	33	with	with	ADP
cana-357	53	34	the	the	DET
cana-357	53	35	given	give	VERB
cana-357	53	36	family	family	NOUN
cana-357	53	37	of	of	ADP
cana-357	53	38	real	real	ADJ
cana-357	53	39	vector	vector	NOUN
cana-357	53	40	fields	field	NOUN
cana-357	53	41	.the	.the	X
cana-357	53	42	above	above	ADP
cana-357	53	43	setting	setting	NOUN
cana-357	53	44	of	of	ADP
cana-357	53	45	linear	linear	ADJ
cana-357	53	46	local	local	ADJ
cana-357	53	47	vector	vector	NOUN
cana-357	53	48	field	field	NOUN
cana-357	53	49	are	be	AUX
cana-357	53	50	the	the	DET
cana-357	53	51	formal	formal	ADJ
cana-357	53	52	setting	setting	NOUN
cana-357	53	53	for	for	ADP
cana-357	53	54	this	this	DET
cana-357	53	55	explanation	explanation	NOUN
cana-357	53	56	.	.	PUNCT
cana-357	54	1	communications	communication	NOUN
cana-357	54	2	on	on	ADP
cana-357	54	3	applied	apply	VERB
cana-357	54	4	nonlinear	nonlinear	ADJ
cana-357	54	5	analysis	analysis	NOUN
cana-357	54	6	issn	issn	NOUN
cana-357	54	7	:	:	PUNCT
cana-357	54	8	1074	1074	NUM
cana-357	54	9	-	-	PUNCT
cana-357	54	10	133x	133x	NUM
cana-357	54	11	vol	vol	NOUN
cana-357	54	12	31	31	NUM
cana-357	54	13	no	no	NOUN
cana-357	54	14	.	.	NOUN
cana-357	54	15	1	1	NUM
cana-357	54	16	(	(	PUNCT
cana-357	54	17	2024	2024	NUM
cana-357	54	18	)	)	PUNCT
cana-357	54	19	140	140	NUM
cana-357	54	20	https://internationalpubls.com	https://internationalpubls.com	X
cana-357	55	1	the	the	DET
cana-357	55	2	following	follow	VERB
cana-357	55	3	technical	technical	ADJ
cana-357	55	4	deposits	deposit	NOUN
cana-357	55	5	provide	provide	VERB
cana-357	55	6	the	the	DET
cana-357	55	7	construction	construction	NOUN
cana-357	55	8	of	of	ADP
cana-357	55	9	such	such	ADJ
cana-357	55	10	orbits	orbit	NOUN
cana-357	55	11	,	,	PUNCT
cana-357	55	12	for	for	ADP
cana-357	55	13	more	more	ADJ
cana-357	55	14	clarity	clarity	NOUN
cana-357	55	15	and	and	CCONJ
cana-357	55	16	clear	clear	ADJ
cana-357	55	17	understanding	understanding	NOUN
cana-357	55	18	of	of	ADP
cana-357	55	19	the	the	DET
cana-357	55	20	motions	motion	NOUN
cana-357	55	21	.this	.this	PRON
cana-357	55	22	is	be	AUX
cana-357	55	23	one	one	NUM
cana-357	55	24	side	side	NOUN
cana-357	55	25	of	of	ADP
cana-357	55	26	the	the	DET
cana-357	55	27	study	study	NOUN
cana-357	55	28	,	,	PUNCT
cana-357	55	29	the	the	DET
cana-357	55	30	real	real	ADJ
cana-357	55	31	objective	objective	NOUN
cana-357	55	32	in	in	ADP
cana-357	55	33	global	global	ADJ
cana-357	55	34	theory	theory	NOUN
cana-357	55	35	i.e	i.e	PRON
cana-357	55	36	globally	globally	ADV
cana-357	55	37	integrable	integrable	ADJ
cana-357	55	38	systems	system	NOUN
cana-357	55	39	.	.	PUNCT
cana-357	56	1	before	before	SCONJ
cana-357	56	2	we	we	PRON
cana-357	56	3	take	take	VERB
cana-357	56	4	up	up	ADP
cana-357	56	5	them	they	PRON
cana-357	56	6	we	we	PRON
cana-357	56	7	will	will	AUX
cana-357	56	8	present	present	VERB
cana-357	56	9	the	the	DET
cana-357	56	10	following	follow	VERB
cana-357	56	11	theorem	theorem	NOUN
cana-357	56	12	on	on	ADP
cana-357	56	13	local	local	ADJ
cana-357	56	14	integrability	integrability	NOUN
cana-357	56	15	structures	structure	NOUN
cana-357	56	16	.	.	PUNCT
cana-357	57	1	from	from	ADP
cana-357	57	2	the	the	DET
cana-357	57	3	standard	standard	ADJ
cana-357	57	4	analogues	analogue	NOUN
cana-357	57	5	the	the	DET
cana-357	57	6	following	follow	VERB
cana-357	57	7	theorem	theorem	NOUN
cana-357	57	8	in	in	ADP
cana-357	57	9	an	an	DET
cana-357	57	10	important	important	ADJ
cana-357	57	11	result	result	NOUN
cana-357	57	12	.	.	PUNCT
cana-357	58	1	4.3	4.3	NUM
cana-357	58	2	theorem	theorem	VERB
cana-357	58	3	:	:	PUNCT
cana-357	58	4	let	let	VERB
cana-357	58	5	be	be	AUX
cana-357	58	6	a	a	DET
cana-357	58	7	locally	locally	ADV
cana-357	58	8	integrable	integrable	ADJ
cana-357	58	9	structure	structure	NOUN
cana-357	58	10	and	and	CCONJ
cana-357	58	11	set	set	NOUN
cana-357	58	12	,	,	PUNCT
cana-357	58	13	is	be	AUX
cana-357	58	14	a	a	DET
cana-357	58	15	smooth	smooth	ADJ
cana-357	58	16	section	section	NOUN
cana-357	58	17	of	of	ADP
cana-357	58	18	ϑ	ϑ	NOUN
cana-357	58	19	}	}	PUNCT
cana-357	58	20	.	.	PUNCT
cana-357	59	1	if	if	SCONJ
cana-357	59	2	is	be	AUX
cana-357	59	3	a	a	DET
cana-357	59	4	solution	solution	NOUN
cana-357	59	5	on	on	ADP
cana-357	59	6	that	that	PRON
cana-357	59	7	vanishes	vanish	VERB
cana-357	59	8	in	in	ADP
cana-357	59	9	a	a	DET
cana-357	59	10	neighborhood	neighborhood	NOUN
cana-357	59	11	of	of	ADP
cana-357	59	12	then	then	ADV
cana-357	59	13	it	it	PRON
cana-357	59	14	vanishes	vanish	VERB
cana-357	59	15	in	in	ADP
cana-357	59	16	a	a	DET
cana-357	59	17	neighbourhood	neighbourhood	NOUN
cana-357	59	18	of	of	ADP
cana-357	59	19	the	the	DET
cana-357	59	20	sussman	sussman	NOUN
cana-357	59	21	orbit	orbit	NOUN
cana-357	59	22	through	through	ADP
cana-357	59	23	.thus	.thus	ADV
cana-357	59	24	,	,	PUNCT
cana-357	59	25	the	the	DET
cana-357	59	26	support	support	NOUN
cana-357	59	27	of	of	ADP
cana-357	59	28	is	be	AUX
cana-357	59	29	a	a	DET
cana-357	59	30	union	union	NOUN
cana-357	59	31	of	of	ADP
cana-357	59	32	orbits	orbit	NOUN
cana-357	59	33	of	of	ADP
cana-357	59	34	.in	.in	PUNCT
cana-357	59	35	particular	particular	ADJ
cana-357	59	36	,	,	PUNCT
cana-357	59	37	if	if	SCONJ
cana-357	59	38	is	be	AUX
cana-357	59	39	an	an	DET
cana-357	59	40	orbit	orbit	NOUN
cana-357	59	41	,	,	PUNCT
cana-357	59	42	then	then	ADV
cana-357	59	43	satisfies	satisfy	VERB
cana-357	59	44	the	the	DET
cana-357	59	45	weak	weak	ADJ
cana-357	59	46	unique	unique	ADJ
cana-357	59	47	continuationproperty	continuationproperty	NOUN
cana-357	59	48	.	.	PUNCT
cana-357	60	1	4.4	4.4	NUM
cana-357	60	2	example	example	NOUN
cana-357	60	3	:	:	PUNCT
cana-357	60	4	let	let	AUX
cana-357	60	5	be	be	AUX
cana-357	60	6	locally	locally	ADV
cana-357	60	7	integrable	integrable	ADJ
cana-357	60	8	and	and	CCONJ
cana-357	60	9	suppose	suppose	VERB
cana-357	60	10	at	at	ADP
cana-357	60	11	each	each	PRON
cana-357	60	12	,	,	PUNCT
cana-357	60	13	the	the	DET
cana-357	60	14	linearspace	linearspace	NOUN
cana-357	60	15	of	of	ADP
cana-357	60	16	all	all	PRON
cana-357	60	17	of	of	ADP
cana-357	60	18	the	the	DET
cana-357	60	19	repeated	repeat	VERB
cana-357	60	20	brackets	bracket	NOUN
cana-357	60	21	of	of	ADP
cana-357	60	22	sections	section	NOUN
cana-357	60	23	of	of	ADP
cana-357	60	24	equals	equal	NOUN
cana-357	60	25	then	then	ADV
cana-357	60	26	is	be	AUX
cana-357	60	27	the	the	DET
cana-357	60	28	only	only	ADJ
cana-357	60	29	orbit	orbit	NOUN
cana-357	60	30	of	of	ADP
cana-357	60	31	and	and	CCONJ
cana-357	60	32	so	so	ADV
cana-357	60	33	by	by	ADP
cana-357	60	34	the	the	DET
cana-357	60	35	above	above	ADJ
cana-357	60	36	theorem	theorem	NOUN
cana-357	60	37	,	,	PUNCT
cana-357	60	38	the	the	DET
cana-357	60	39	weak	weak	ADJ
cana-357	60	40	unique	unique	ADJ
cana-357	60	41	continuation	continuation	NOUN
cana-357	60	42	property	property	NOUN
cana-357	60	43	holds	hold	VERB
cana-357	60	44	for	for	ADP
cana-357	60	45	these	these	PRON
cana-357	60	46	are	be	AUX
cana-357	60	47	explains	explain	NOUN
cana-357	60	48	of	of	ADP
cana-357	60	49	locally	locally	ADV
cana-357	60	50	integrable	integrable	ADJ
cana-357	60	51	structures	structure	NOUN
cana-357	60	52	,	,	PUNCT
cana-357	60	53	where	where	SCONJ
cana-357	60	54	only	only	ADV
cana-357	60	55	orbit	orbit	NOUN
cana-357	60	56	of	of	ADP
cana-357	60	57	although	although	SCONJ
cana-357	60	58	the	the	DET
cana-357	60	59	hypothesis	hypothesis	NOUN
cana-357	60	60	in	in	ADP
cana-357	60	61	the	the	DET
cana-357	60	62	above	above	ADJ
cana-357	60	63	example	example	NOUN
cana-357	60	64	is	be	AUX
cana-357	60	65	violated	violate	VERB
cana-357	60	66	.	.	PUNCT
cana-357	61	1	5	5	X
cana-357	61	2	.	.	X
cana-357	61	3	conclusion	conclusion	NOUN
cana-357	61	4	p.cohen	p.cohen	PRON
cana-357	61	5	gives	give	VERB
cana-357	61	6	an	an	DET
cana-357	61	7	example	example	NOUN
cana-357	61	8	for	for	ADP
cana-357	61	9	a	a	DET
cana-357	61	10	smooth	smooth	ADJ
cana-357	61	11	vector	vector	NOUN
cana-357	61	12	field	field	NOUN
cana-357	61	13	in	in	ADP
cana-357	61	14	with	with	ADP
cana-357	61	15	a	a	DET
cana-357	61	16	smooth	smooth	ADJ
cana-357	61	17	solution	solution	NOUN
cana-357	61	18	on	on	ADP
cana-357	61	19	,	,	PUNCT
cana-357	61	20	for	for	ADP
cana-357	61	21	whose	whose	DET
cana-357	61	22	support	support	NOUN
cana-357	61	23	is	be	AUX
cana-357	61	24	for	for	ADP
cana-357	61	25	,	,	PUNCT
cana-357	61	26	this	this	PRON
cana-357	61	27	is	be	AUX
cana-357	61	28	a	a	DET
cana-357	61	29	consequence	consequence	NOUN
cana-357	61	30	of	of	ADP
cana-357	61	31	certain	certain	ADJ
cana-357	61	32	group	group	NOUN
cana-357	61	33	acting	act	VERB
cana-357	61	34	on	on	ADP
cana-357	61	35	the	the	DET
cana-357	61	36	upper	upper	ADJ
cana-357	61	37	local	local	NOUN
cana-357	61	38	of	of	ADP
cana-357	61	39	place	place	NOUN
cana-357	61	40	of	of	ADP
cana-357	61	41	.	.	PUNCT
cana-357	62	1	that	that	PRON
cana-357	62	2	is	be	AUX
cana-357	62	3	locally	locally	ADV
cana-357	62	4	integrable	integrable	ADJ
cana-357	62	5	structure	structure	NOUN
cana-357	62	6	and	and	CCONJ
cana-357	62	7	maximally	maximally	ADV
cana-357	62	8	real	real	ADJ
cana-357	62	9	sub	sub	NOUN
cana-357	62	10	manifolds	manifold	NOUN
cana-357	62	11	of	of	AUX
cana-357	62	12	provide	provide	VERB
cana-357	62	13	some	some	DET
cana-357	62	14	interesting	interesting	ADJ
cana-357	62	15	results	result	NOUN
cana-357	62	16	characterizing	characterize	VERB
cana-357	62	17	holomorphic	holomorphic	ADJ
cana-357	62	18	maps	map	NOUN
cana-357	62	19	.	.	PUNCT
cana-357	63	1	and	and	CCONJ
cana-357	63	2	a	a	DET
cana-357	63	3	useful	useful	ADJ
cana-357	63	4	application	application	NOUN
cana-357	63	5	of	of	ADP
cana-357	63	6	locally	locally	ADV
cana-357	63	7	integrable	integrable	ADJ
cana-357	63	8	structure	structure	NOUN
cana-357	63	9	on	on	ADP
cana-357	63	10	unique	unique	ADJ
cana-357	63	11	weak	weak	ADJ
cana-357	63	12	continuation	continuation	NOUN
cana-357	63	13	.	.	PUNCT
cana-357	64	1	references	reference	NOUN
cana-357	64	2	[	[	X
cana-357	64	3	1	1	NUM
cana-357	64	4	]	]	PUNCT
cana-357	64	5	eckhard	eckhard	PROPN
cana-357	64	6	meinrenken	meinrenken	PROPN
cana-357	64	7	–	–	PUNCT
cana-357	64	8	group	group	NOUN
cana-357	64	9	actions	action	NOUN
cana-357	64	10	on	on	ADP
cana-357	64	11	manifolds	manifold	NOUN
cana-357	64	12	–	–	PUNCT
cana-357	64	13	university	university	NOUN
cana-357	64	14	of	of	ADP
cana-357	64	15	toronto	toronto	PROPN
cana-357	64	16	,	,	PUNCT
cana-357	64	17	spring	spring	NOUN
cana-357	64	18	2003	2003	NUM
cana-357	64	19	..	..	PUNCT
cana-357	65	1	[	[	X
cana-357	65	2	2	2	X
cana-357	65	3	]	]	PUNCT
cana-357	65	4	s.	s.	PROPN
cana-357	65	5	berhanu	berhanu	PROPN
cana-357	65	6	,	,	PUNCT
cana-357	65	7	p.d	p.d	PROPN
cana-357	65	8	.	.	PROPN
cana-357	65	9	cordaro	cordaro	PROPN
cana-357	65	10	,	,	PUNCT
cana-357	65	11	j.	j.	PROPN
cana-357	65	12	hounie	hounie	PROPN
cana-357	65	13	,	,	PUNCT
cana-357	65	14	an	an	DET
cana-357	65	15	introduction	introduction	NOUN
cana-357	65	16	to	to	ADP
cana-357	65	17	involutive	involutive	ADJ
cana-357	65	18	structures	structure	NOUN
cana-357	65	19	,	,	PUNCT
cana-357	65	20	cambridge	cambridge	PROPN
cana-357	65	21	university	university	PROPN
cana-357	65	22	press	press	NOUN
cana-357	65	23	(	(	PUNCT
cana-357	65	24	2008	2008	NUM
cana-357	65	25	)	)	PUNCT
cana-357	65	26	.	.	PUNCT
cana-357	66	1	[	[	X
cana-357	66	2	3	3	X
cana-357	66	3	]	]	X
cana-357	66	4	s.	s.	PROPN
cana-357	66	5	berhanu	berhanu	PROPN
cana-357	66	6	,	,	PUNCT
cana-357	66	7	j.	j.	PROPN
cana-357	66	8	cordaro	cordaro	PROPN
cana-357	66	9	,	,	PUNCT
cana-357	66	10	j.	j.	PROPN
cana-357	66	11	hounie	hounie	PROPN
cana-357	66	12	,	,	PUNCT
cana-357	66	13	uniqueness	uniqueness	NOUN
cana-357	66	14	for	for	ADP
cana-357	66	15	locally	locally	ADV
cana-357	66	16	integrable	integrable	ADJ
cana-357	66	17	solutions	solution	NOUN
cana-357	66	18	of	of	ADP
cana-357	66	19	overdetermined	overdetermine	VERB
cana-357	66	20	systems	system	NOUN
cana-357	66	21	,	,	PUNCT
cana-357	66	22	duke	duke	PROPN
cana-357	66	23	math	math	PROPN
cana-357	66	24	.	.	PUNCT
cana-357	67	1	journal	journal	PROPN
cana-357	67	2	,	,	PUNCT
cana-357	67	3	105	105	NUM
cana-357	67	4	no.3	no.3	NOUN
cana-357	67	5	(	(	PUNCT
cana-357	67	6	2000	2000	NUM
cana-357	67	7	)	)	PUNCT
cana-357	67	8	,	,	PUNCT
cana-357	67	9	387	387	NUM
cana-357	67	10	-	-	SYM
cana-357	67	11	410	410	NUM
cana-357	67	12	.	.	PUNCT
cana-357	68	1	[	[	X
cana-357	68	2	4	4	X
cana-357	68	3	]	]	PUNCT
cana-357	68	4	m.	m.	NOUN
cana-357	68	5	s.	s.	PROPN
cana-357	68	6	baouendi	baouendi	PROPN
cana-357	68	7	,	,	PUNCT
cana-357	68	8	f.	f.	PROPN
cana-357	68	9	treves	treves	PROPN
cana-357	68	10	,	,	PUNCT
cana-357	68	11	a	a	DET
cana-357	68	12	property	property	NOUN
cana-357	68	13	of	of	ADP
cana-357	68	14	the	the	DET
cana-357	68	15	functions	function	NOUN
cana-357	68	16	and	and	CCONJ
cana-357	68	17	distributions	distribution	NOUN
cana-357	68	18	annihilated	annihilate	VERB
cana-357	68	19	by	by	ADP
cana-357	68	20	a	a	DET
cana-357	68	21	locally	locally	ADV
cana-357	68	22	integrable	integrable	ADJ
cana-357	68	23	system	system	NOUN
cana-357	68	24	of	of	ADP
cana-357	68	25	complex	complex	ADJ
cana-357	68	26	vector	vector	NOUN
cana-357	68	27	fields	field	NOUN
cana-357	68	28	,	,	PUNCT
cana-357	68	29	ann	ann	PROPN
cana-357	68	30	.	.	PROPN
cana-357	68	31	of	of	ADP
cana-357	68	32	math	math	NOUN
cana-357	68	33	.	.	PUNCT
cana-357	69	1	113	113	NUM
cana-357	69	2	(	(	PUNCT
cana-357	69	3	1981	1981	NUM
cana-357	69	4	)	)	PUNCT
cana-357	69	5	,	,	PUNCT
cana-357	69	6	387	387	NUM
cana-357	69	7	-	-	SYM
cana-357	69	8	421	421	NUM
cana-357	69	9	.	.	PUNCT
cana-357	70	1	[	[	X
cana-357	70	2	5	5	X
cana-357	70	3	]	]	X
cana-357	70	4	e.m	e.m	PROPN
cana-357	70	5	.	.	PROPN
cana-357	70	6	chirka	chirka	NOUN
cana-357	70	7	,	,	PUNCT
cana-357	70	8	introduction	introduction	NOUN
cana-357	70	9	to	to	ADP
cana-357	70	10	the	the	DET
cana-357	70	11	geometry	geometry	NOUN
cana-357	70	12	of	of	ADP
cana-357	70	13	cr	cr	PROPN
cana-357	70	14	manifolds	manifold	NOUN
cana-357	70	15	,	,	PUNCT
cana-357	70	16	russian	russian	ADJ
cana-357	70	17	math	math	NOUN
cana-357	70	18	.	.	PUNCT
cana-357	71	1	surveys	survey	NOUN
cana-357	71	2	46:1	46:1	NUM
cana-357	71	3	(	(	PUNCT
cana-357	71	4	1991	1991	NUM
cana-357	71	5	)	)	PUNCT
cana-357	71	6	,	,	PUNCT
cana-357	71	7	95	95	NUM
cana-357	71	8	-	-	SYM
cana-357	71	9	197	197	NUM
cana-357	71	10	.	.	PUNCT
cana-357	72	1	[	[	X
cana-357	72	2	6	6	NUM
cana-357	72	3	]	]	PUNCT
cana-357	72	4	j.	j.	PROPN
cana-357	72	5	jost	jost	PROPN
cana-357	72	6	,	,	PUNCT
cana-357	72	7	riemannian	riemannian	ADJ
cana-357	72	8	geometry	geometry	NOUN
cana-357	72	9	and	and	CCONJ
cana-357	72	10	geometric	geometric	ADJ
cana-357	72	11	analysis	analysis	NOUN
cana-357	72	12	,	,	PUNCT
cana-357	72	13	springer	springer	NOUN
cana-357	72	14	2011	2011	NUM
cana-357	72	15	.	.	PUNCT
cana-357	73	1	[	[	X
cana-357	73	2	7	7	X
cana-357	73	3	]	]	X
cana-357	73	4	h.	h.	PROPN
cana-357	73	5	sussmann	sussmann	PROPN
cana-357	73	6	,	,	PUNCT
cana-357	73	7	orbits	orbit	NOUN
cana-357	73	8	of	of	ADP
cana-357	73	9	families	family	NOUN
cana-357	73	10	of	of	ADP
cana-357	73	11	vector	vector	NOUN
cana-357	73	12	fields	field	NOUN
cana-357	73	13	and	and	CCONJ
cana-357	73	14	integrability	integrability	NOUN
cana-357	73	15	of	of	ADP
cana-357	73	16	systems	system	NOUN
cana-357	73	17	with	with	ADP
cana-357	73	18	singularities	singularity	NOUN
cana-357	73	19	,	,	PUNCT
cana-357	73	20	bull	bull	NOUN
cana-357	73	21	.	.	PUNCT
cana-357	74	1	am.math.soc	am.math.soc	NOUN
cana-357	74	2	.	.	PROPN
cana-357	74	3	79	79	NUM
cana-357	74	4	,	,	PUNCT
cana-357	74	5	no	no	INTJ
cana-357	74	6	.	.	NOUN
cana-357	74	7	1	1	NUM
cana-357	74	8	(	(	PUNCT
cana-357	74	9	1973	1973	NUM
cana-357	74	10	)	)	PUNCT
cana-357	74	11	,	,	PUNCT
cana-357	74	12	197	197	NUM
cana-357	74	13	-	-	SYM
cana-357	74	14	199	199	NUM
cana-357	74	15	.	.	PUNCT
cana-357	75	1	[	[	X
cana-357	75	2	8	8	NUM
cana-357	75	3	]	]	PUNCT
cana-357	75	4	s.	s.	PROPN
cana-357	75	5	lang	lang	PROPN
cana-357	75	6	,	,	PUNCT
cana-357	75	7	differential	differential	ADJ
cana-357	75	8	and	and	CCONJ
cana-357	75	9	riemannian	riemannian	ADJ
cana-357	75	10	geometry	geometry	NOUN
cana-357	75	11	,	,	PUNCT
cana-357	75	12	gtm	gtm	PROPN
cana-357	75	13	160	160	NUM
cana-357	75	14	1995	1995	NUM
cana-357	75	15	.	.	PUNCT