Topology and closed characteristics of K-contact manifolds
نویسنده
چکیده
We prove that the characteristic flow of a K-contact form has at least n+1 closed leaves on a closed 2n+1-dimensional manifold. We also show that the first Betti number of a closed sasakian manifold with finitely many closed characteristics is zero.
منابع مشابه
On K-contact Manifolds with Minimal Number of Closed Characteristics
We prove that closed simply connected K-contact manifolds with minimal number of closed characteristics are homeomorphic to odd-dimensional spheres.
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تاریخ انتشار 2000