Weak stability of almost regular contact foliations

Augustin Banyaga; Philippe Rukimbira

doi:10.1007/BF01222659

Weak stability of almost regular contact foliations

Augustin Banyaga, Philippe Rukimbira

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

We prove that on a compact manifold, a contact foliation obtained by a small C¹ perturbation of an almost regular contact flow has at least two closed characteristics. This solves the Weinstein conjecture for contact forms which are C¹-close to almost regular contact forms.

Original language	English (US)
Pages (from-to)	16-27
Number of pages	12
Journal	Journal of Geometry
Volume	50
Issue number	1-2
DOIs	https://doi.org/10.1007/BF01222659
State	Published - Jul 1994

All Science Journal Classification (ASJC) codes

Geometry and Topology

Access to Document

10.1007/BF01222659

Cite this

@article{e3afda1366794dd08c0408290894eef3,

title = "Weak stability of almost regular contact foliations",

abstract = "We prove that on a compact manifold, a contact foliation obtained by a small C1 perturbation of an almost regular contact flow has at least two closed characteristics. This solves the Weinstein conjecture for contact forms which are C1-close to almost regular contact forms.",

author = "Augustin Banyaga and Philippe Rukimbira",

year = "1994",

month = jul,

doi = "10.1007/BF01222659",

language = "English (US)",

volume = "50",

pages = "16--27",

journal = "Journal of Geometry",

issn = "0047-2468",

publisher = "Birkhauser Verlag Basel",

number = "1-2",

}

TY - JOUR

T1 - Weak stability of almost regular contact foliations

AU - Banyaga, Augustin

AU - Rukimbira, Philippe

PY - 1994/7

Y1 - 1994/7

N2 - We prove that on a compact manifold, a contact foliation obtained by a small C1 perturbation of an almost regular contact flow has at least two closed characteristics. This solves the Weinstein conjecture for contact forms which are C1-close to almost regular contact forms.

AB - We prove that on a compact manifold, a contact foliation obtained by a small C1 perturbation of an almost regular contact flow has at least two closed characteristics. This solves the Weinstein conjecture for contact forms which are C1-close to almost regular contact forms.

UR - http://www.scopus.com/inward/record.url?scp=34249771839&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34249771839&partnerID=8YFLogxK

U2 - 10.1007/BF01222659

DO - 10.1007/BF01222659

M3 - Article

AN - SCOPUS:34249771839

SN - 0047-2468

VL - 50

SP - 16

EP - 27

JO - Journal of Geometry

JF - Journal of Geometry

IS - 1-2

ER -

Weak stability of almost regular contact foliations

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this