Weak stability of almost regular contact foliations

Augustin Banyaga, Philippe Rukimbira

Research output: Contribution to journalArticlepeer-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 languageEnglish (US)
Pages (from-to)16-27
Number of pages12
JournalJournal of Geometry
Volume50
Issue number1-2
DOIs
StatePublished - Jul 1 1994

All Science Journal Classification (ASJC) codes

  • Geometry and Topology

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