Totally Non-coisotropic Displacement and Its Applications to Hamiltonian Dynamics

Details Totally Non-coisotropic Displacement and Its Applications to Hamiltonian Dynamics Totally Non-coisotropic Displacement and Its Applications to Hamiltonian Dynamics

2007-02-05

arxiv.org/abs/math/0702091v1

Mathematics

Symplectic Geometry

21 pages

Scientific paper

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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