Totally Non-coisotropic Displacement and Its Applications to Hamiltonian Dynamics

2007/02/05 by Başak Z. Gürel, Basak Z. Gurel, Gurel, Basak Z.
Mathematics · #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds #math.DG #math.DS #math.SG #msc:37J45 #msc:53D40

paper · pdf · doi:10.48550/arxiv.math/0702091

21 pages

arxiv created 2007/02/05 · arxiv updated 2009/12/01

Abstract

In this paper we prove the Conley conjecture and the almost existence theorem in a neighborhood of a closed nowhere coisotropic submanifold under certain natural assumptions on the ambient symplectic manifold. Essential to the proofs is a displacement principle for such submanifolds. Namely, we show that a topologically displaceable nowhere coisotropic submanifold is also displaceable by a Hamiltonian diffeomorphism, partially extending the well-known non-Lagrangian displacement property.

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