Chekanov-type theorem for spherized cotangent bundles

2016/02/28 by Petr E. Pushkar, Pushkar, Petr E.
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds #Symplectic Geometry (math.SG)

paper · pdf · doi:10.48550/arxiv.1602.08743

openalex publication_date 2016/02/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove a Chekanov-type theorem for the spherization of the cotangent bundle ST^*B of a closed manifold B. It claims that for Legendrian submanifolds in ST^*B the property "to be given by a generating family quadratic at infinity" persists under Legendrian isotopies.

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