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

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arxiv 1111.0383 v1 pith:UVXMAAJS submitted 2011-11-02 math.GT

Atsuhide Mori This is my paper · ORCID
classification math.GT
keywords certainhypersurfaceinequalitynon-convexthurston-bennequincontactcontainsdimension
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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.

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  1. Conformally symplectic topology from a dynamical viewpoint

    math.SG 2026-07 accept novelty 4.0 of 10

    Characteristic foliations of contact Hamiltonian manifolds determine convexity of hypersurfaces, with Morse-Smale implying convexity, C0-density of convex hypersurfaces, and C2-robust non-convex examples in dimensions ≥5.

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