On 𝐾-contact manifolds with minimal number of closed characteristics

Author:

Rukimbira Philippe

Abstract

We prove that closed simply connected K-contact manifolds with minimal number of closed characteristics are homeomorphic to odd-dimensional spheres.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference14 articles.

1. Nonregular contact structures on Brieskorn manifolds;Abe, Kinetsu;Bull. Amer. Math. Soc.,1975

2. Lecture Notes in Mathematics, Vol. 509;Blair, David E.,1976

3. Lectures on Morse theory, old and new;Bott, Raoul;Bull. Amer. Math. Soc. (N.S.),1982

4. Flots riemanniens;Carrière, Yves;Ast\'{e}risque,1984

5. Invariant submanifolds in a contact Riemannian manifold;Endo, Hiroshi;Tensor (N.S.),1985

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