On the violation of Thurston-Bennequin inequality for a certain non-convex hypersurface

2011/11/02 by Atsuhide Mori, Mori, Atsuhide
Mathematics · #57R17 #57R20 (Primary) 57R30 (Secondary) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Point processes and geometric inequalities

paper · pdf · doi:10.48550/arxiv.1111.0383

openalex publication_date 2011/11/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that any open subset of a contact manifold of dimension greater than three contains a certain non-convex hypersurface violating the Thurston-Bennequin inequality.

Citations

• Symplectic manifolds with contact type boundaries

Related

• A note on generalized Thurston--Bennequin inequalities
• Reeb foliations on S⁵ and contact 5-manifolds violating the Thurston-Bennequin inequality
• Robustly non-convex hypersurfaces in contact manifolds
• Convex hypersurface theory in contact topology
• Morse-Smale characteristic foliations and convexity in contact manifolds