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arXiv · 1102.2021

Symplectically degenerate maxima via generating functions

Marco Mazzucchelli
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Abstract

We provide a simple proof of a theorem due to Nancy Hingston, asserting that symplectically degenerate maxima of any Hamiltonian diffeomorphism of the standard symplectic 2d-torus are non-isolated contractible periodic points or their action is a non-isolated point of the average-action spectrum. Our argument is based on generating functions.

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Marco Mazzucchelli. 2012-11-21. Symplectically degenerate maxima via generating functions. https://doi.org/10.1007/s00209-013-1157-6

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