Applications of Hofer's geometry to Hamiltonian dynamics

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We prove the following three results in Hamiltonian dynamics. 1. The Weinstein conjecture holds true for every displaceable hypersurface of contact type. 2. Every magnetic flow on a closed Riemannian manifold has contractible closed orbits for a dense set of small energies. 3. Every closed Lagrangian submanifold of an arbitrary symplectic manifold whose fundamental group injects and which admits a Riemannian metric without closed geodesics has the intersection property.
9 pages, 1 figure

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Symplectic Geometry, Dynamical Systems

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http://salesiana.dossiersoluciones.com/handle/123456789/67420

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0305146
 http://arxiv.org/abs/math/0305146

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arXiv