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arXiv · 1210.3866

On Non-contractible Periodic Orbits of Hamiltonian Diffeomorphisms

Basak Z. Gurel
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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.

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Basak Z. Gurel. 2012-10-15. On Non-contractible Periodic Orbits of Hamiltonian Diffeomorphisms. https://doi.org/10.1112/blms%2Fbdt051

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