Symplectic homology and periodic orbits near symplectic submanifolds

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We show that a small neighborhood of a closed symplectic submanifold in a geometrically bounded aspherical symplectic manifold has non-vanishing symplectic homology. As a consequence, we establish the existence of contractible closed characteristics on any thickening of the boundary of the neighborhood. When applied to twisted geodesic flows on compact symplectically aspherical manifolds, this implies the existence of contractible periodic orbits for a dense set of low energy values.
21 pages, 1 figure. reference added

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Differential Geometry, Symplectic Geometry, 57R17 53D40 37J45

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http://salesiana.dossiersoluciones.com/handle/123456789/65486

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0210468
 http://arxiv.org/abs/math/0210468

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arXiv