Propagation in Hamiltonian dynamics and relative symplectic homology

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The main result asserts the existence of noncontractible periodic orbits for compactly supported time dependent Hamiltonian systems on the unit cotangent bundle of the torus or of a negatively curved manifold whenever the generating Hamiltonian is sufficiently large over the zero section. The proof is based on Floer homology and on the notion of a relative symplectic capacity. Applications include results about propagation properties of sequential Hamiltonian systems, periodic orbits on hypersurfaces, Hamiltonian circle actions, and smooth Lagrangian skeletons in Stein manifolds.
58 pages, 2 figures

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Symplectic Geometry, 37J45, 53D40

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http://salesiana.dossiersoluciones.com/handle/123456789/62047

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0108134
 http://arxiv.org/abs/math/0108134

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arXiv