On characteristics of circle-invariantp resymplecticf orms

Augustin Banyaga; Philippe Rukimbira

doi:10.1090/S0002-9939-1995-1307491-0

On characteristics of circle-invariantp resymplecticf orms

Augustin Banyaga, Philippe Rukimbira

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8 Scopus citations

Abstract

We prove that a circle-invariant exact 2-form of rank 2n on a compact (2n+ 1)-dimensional manifold admits two closed characteristics. This solves a particular case of a generalized Weinstein conjecture.

Original language	English (US)
Pages (from-to)	3901-3906
Number of pages	6
Journal	Proceedings of the American Mathematical Society
Volume	123
Issue number	12
DOIs	https://doi.org/10.1090/S0002-9939-1995-1307491-0
State	Published - Dec 1995

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

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10.1090/S0002-9939-1995-1307491-0

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title = "On characteristics of circle-invariantp resymplecticf orms",

abstract = "We prove that a circle-invariant exact 2-form of rank 2n on a compact (2n+ 1)-dimensional manifold admits two closed characteristics. This solves a particular case of a generalized Weinstein conjecture.",

author = "Augustin Banyaga and Philippe Rukimbira",

year = "1995",

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AU - Banyaga, Augustin

AU - Rukimbira, Philippe

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AB - We prove that a circle-invariant exact 2-form of rank 2n on a compact (2n+ 1)-dimensional manifold admits two closed characteristics. This solves a particular case of a generalized Weinstein conjecture.

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JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

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On characteristics of circle-invariantp resymplecticf orms

Abstract

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