Applications of Hofer's geometry to Hamiltonian dynamics

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dc.creatorFrauenfelder, Urs
dc.creatorSchlenk, Felix
dc.date2003-05-09
dc.date.accessioned2026-07-07T04:57:53Z
dc.date.available2026-07-07T04:57:53Z
dc.descriptionWe 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.
dc.description9 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/math/0305146
dc.identifierhttp://arxiv.org/abs/math/0305146
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67420
dc.subjectSymplectic Geometry
dc.subjectDynamical Systems
dc.titleApplications of Hofer's geometry to Hamiltonian dynamics
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