On Non-contractible Periodic Orbits of Hamiltonian Diffeomorphisms
Symplectic Geometry
2014-02-26 v1 Dynamical Systems
Abstract
We prove that any Hamiltonian diffeomorphism of a closed symplectic manifold equipped with an atoroidal symplectic form has simple non-contractible periodic orbits of arbitrarily large period, provided that the diffeomorphism has a non-degenerate (or even isolated and homologically non-trivial) periodic orbit with non-zero homology class and the set of one-periodic orbits in that class is finite.
Keywords
Cite
@article{arxiv.1210.3866,
title = {On Non-contractible Periodic Orbits of Hamiltonian Diffeomorphisms},
author = {Basak Z. Gurel},
journal= {arXiv preprint arXiv:1210.3866},
year = {2014}
}
Comments
9 pages