Totally Non-coisotropic Displacement and Its Applications to Hamiltonian Dynamics
Symplectic Geometry
2007-05-23 v1 Differential Geometry
Dynamical Systems
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.
Keywords
Cite
@article{arxiv.math/0702091,
title = {Totally Non-coisotropic Displacement and Its Applications to Hamiltonian Dynamics},
author = {Basak Z. Gurel},
journal= {arXiv preprint arXiv:math/0702091},
year = {2007}
}
Comments
21 pages