A minimax selector for a class of hamiltonians on cotangent bundles

Details A minimax selector for a class of hamiltonians on cotangent bundles A minimax selector for a class of hamiltonians on cotangent bundles

1999-11-05

arxiv.org/abs/math/9911036v4

Mathematics

Symplectic Geometry

Corrected version. 17 pages

Scientific paper

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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