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

2016/12/09 by Yuli B. Rudyak, Yuli Rudyak, Aleksy Tralle +2
Mathematics · #55P62 #57R19 #Algebraic Topology (math.AT) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds #Primary 55M30. Secondary 53C25 #math.AT #msc:53C25 #msc:55M30. #msc:55P62 #msc:57R19

paper · pdf · doi:10.48550/arxiv.1612.03188

arxiv created 2016/12/09 · openalex publication_date 2016/12/09 · arxiv updated 2016/12/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 ξ of this structure has at least n+1 closed characteristics. We note that ξ has at least 2n+1 closed characteristics provided that the space of leaves of the foliation determined by ξ is symplectically aspherical.

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