A Minimax Selector for a Class of Hamiltonians on Cotangent Bundles

Abstract

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. 

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Cite this paper

@inproceedings{Iturriaga1999AMS, title={A Minimax Selector for a Class of Hamiltonians on Cotangent Bundles}, author={Renato Iturriaga}, year={1999} }