Note on weinstein’s conjecture

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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 languageEnglish (US)
Pages (from-to)855-858
Number of pages4
JournalProceedings of the American Mathematical Society
Volume109
Issue number3
DOIs
StatePublished - Jul 1990

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

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