A refinement of the Hofer-Zehnder theorem on the existence of closed trajectories near a hypersurface

Simple item page
dc.creatorMacarini, Leonardo
dc.creatorSchlenk, Felix
dc.date2003-05-09
dc.date.accessioned2026-07-07T04:57:53Z
dc.date.available2026-07-07T04:57:53Z
dc.descriptionThe Hofer-Zehnder theorem states that almost every hypersurface in a thickening of a hypersurface $S$ in a symplectic manifold $(M,ω)$ carries a closed characteristic provided that $S$ bounds a compact submanifold and $(M,ω)$ has finite capacity. We show that it is enough to assume that the thickening of $S$ has finite capacity.
dc.description4 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/math/0305148
dc.identifierhttp://arxiv.org/abs/math/0305148
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67422
dc.subjectSymplectic Geometry
dc.subjectDynamical Systems
dc.titleA refinement of the Hofer-Zehnder theorem on the existence of closed trajectories near a hypersurface
dc.typetext

Files

Collections

arXiv