Title

On Non-Contractible Periodic Orbits Of Hamiltonian Diffeomorphisms

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 nontrivial) periodic orbit with non-zero homology class and the set of one-periodic orbits in that class is finite. © 2013 London Mathematical Society.

Publication Date

1-1-2013

Publication Title

Bulletin of the London Mathematical Society

Volume

45

Issue

6

Number of Pages

1227-1234

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1112/blms/bdt051

Socpus ID

84891913523 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/84891913523

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