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

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The 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.
4 pages, 1 figure

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Symplectic Geometry, Dynamical Systems

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http://salesiana.dossiersoluciones.com/handle/123456789/67422

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0305148
 http://arxiv.org/abs/math/0305148

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arXiv