On characteristics of circle-invariantp resymplecticf orms

Augustin Banyaga, Philippe Rukimbira

Research output: Contribution to journalArticle

6 Citations (Scopus)

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 languageEnglish (US)
Pages (from-to)3901-3906
Number of pages6
JournalProceedings of the American Mathematical Society
Volume123
Issue number12
DOIs
StatePublished - Jan 1 1995

Fingerprint

Circle
Closed
Invariant
Form

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

Cite this

@article{c6454bf19b974a8ba473785a8e544235,
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",
month = "1",
day = "1",
doi = "10.1090/S0002-9939-1995-1307491-0",
language = "English (US)",
volume = "123",
pages = "3901--3906",
journal = "Proceedings of the American Mathematical Society",
issn = "0002-9939",
publisher = "American Mathematical Society",
number = "12",

}

On characteristics of circle-invariantp resymplecticf orms. / Banyaga, Augustin; Rukimbira, Philippe.

In: Proceedings of the American Mathematical Society, Vol. 123, No. 12, 01.01.1995, p. 3901-3906.

Research output: Contribution to journalArticle

TY - JOUR

T1 - On characteristics of circle-invariantp resymplecticf orms

AU - Banyaga, Augustin

AU - Rukimbira, Philippe

PY - 1995/1/1

Y1 - 1995/1/1

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=21844490751&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=21844490751&partnerID=8YFLogxK

U2 - 10.1090/S0002-9939-1995-1307491-0

DO - 10.1090/S0002-9939-1995-1307491-0

M3 - Article

VL - 123

SP - 3901

EP - 3906

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

SN - 0002-9939

IS - 12

ER -