A minimax selector for a class of hamiltonians on cotangent bundles
Symplectic Geometry
2007-05-23 v4 Dynamical Systems
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.
Cite
@article{arxiv.math/9911036,
title = {A minimax selector for a class of hamiltonians on cotangent bundles},
author = {R. Iturriaga and H. Sanchez-Morgado},
journal= {arXiv preprint arXiv:math/9911036},
year = {2007}
}
Comments
Corrected version. 17 pages