Symplectic homology and periodic orbits near symplectic submanifolds

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dc.creatorCieliebak, Kai
dc.creatorGinzburg, Viktor L.
dc.creatorKerman, Ely
dc.date2002-10-30
dc.date2002-11-12
dc.date.accessioned2026-07-07T04:52:30Z
dc.date.available2026-07-07T04:52:30Z
dc.descriptionWe 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.
dc.description21 pages, 1 figure. reference added
dc.identifierhttps://arxiv.org/abs/math/0210468
dc.identifierhttp://arxiv.org/abs/math/0210468
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65486
dc.subjectDifferential Geometry
dc.subjectSymplectic Geometry
dc.subject57R17 53D40 37J45
dc.titleSymplectic homology and periodic orbits near symplectic submanifolds
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