A minimax selector for a class of hamiltonians on cotangent bundles

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We construct a minimax selector for eventually quadratic hamiltonians on cotangent bundles. We use it to give a relation between Hofer's energy and Mather's action minimizing function. We also study the local flatness of the set of twist maps.
Corrected version. 17 pages

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Symplectic Geometry, Dynamical Systems, 58F05

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http://salesiana.dossiersoluciones.com/handle/123456789/79352

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9911036
 http://arxiv.org/abs/math/9911036

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arXiv