Note on weinstein’s conjecture

Augustin Banyaga

doi:10.1090/S0002-9939-1990-1021206-0

Note on weinstein’s conjecture

Augustin Banyaga

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

11 Scopus citations

Abstract

We prove that the contact foliation of a compact contact manifold (M, α) has at least one compact leaf in the following two cases: (i) α is a K-contact form and M is simply connected, (ii) α is C² -close to a regular contact form. This solves the Weinstein conjecture in those particular case.

Original language	English (US)
Pages (from-to)	855-858
Number of pages	4
Journal	Proceedings of the American Mathematical Society
Volume	109
Issue number	3
DOIs	https://doi.org/10.1090/S0002-9939-1990-1021206-0
State	Published - Jul 1990

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

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10.1090/S0002-9939-1990-1021206-0

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title = "Note on weinstein{\textquoteright}s conjecture",

abstract = "We prove that the contact foliation of a compact contact manifold (M, α) has at least one compact leaf in the following two cases: (i) α is a K-contact form and M is simply connected, (ii) α is C2 -close to a regular contact form. This solves the Weinstein conjecture in those particular case.",

author = "Augustin Banyaga",

year = "1990",

month = jul,

doi = "10.1090/S0002-9939-1990-1021206-0",

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AU - Banyaga, Augustin

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N2 - We prove that the contact foliation of a compact contact manifold (M, α) has at least one compact leaf in the following two cases: (i) α is a K-contact form and M is simply connected, (ii) α is C2 -close to a regular contact form. This solves the Weinstein conjecture in those particular case.

AB - We prove that the contact foliation of a compact contact manifold (M, α) has at least one compact leaf in the following two cases: (i) α is a K-contact form and M is simply connected, (ii) α is C2 -close to a regular contact form. This solves the Weinstein conjecture in those particular case.

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U2 - 10.1090/S0002-9939-1990-1021206-0

DO - 10.1090/S0002-9939-1990-1021206-0

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AN - SCOPUS:84966208295

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SP - 855

EP - 858

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 3

ER -

Note on weinstein’s conjecture

Abstract

All Science Journal Classification (ASJC) codes

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