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arXiv · 1612.03188

Symplectic Asphericity, Category Weight, and Closed Characteristics of K-Contact Manifolds

Yuli Rudyak·Aleksy Tralle
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Abstract

Let $M$ be a closed K-contact $(2n+1)$-manifold equipped with a quasi-regular K-contact structure. Rukimbira proved that the Reeb vector field $\xi$ of this structure has at least $n+1$ closed characteristics. We note that $\xi$ has at least $2n+1$ closed characteristics provided that the space of leaves of the foliation determined by $\xi$ is symplectically aspherical.

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Yuli Rudyak, Aleksy Tralle. 2016-12-09. Symplectic Asphericity, Category Weight, and Closed Characteristics of K-Contact Manifolds. https://arxiv.org/abs/1612.03188

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