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

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10.1007/BF01222659

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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",

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journal = "Journal of Geometry",

issn = "0047-2468",

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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.

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M3 - Article

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SP - 16

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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

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