arXiv:1005.3134 Abstract | arXiv Analytics

arXiv:1005.3134 [math.DS]Abstract References Reviews Resources

A certain minimization property implies a certain integrability

Published 2010-05-18Version 1

The manifold M being compact and connected and H being a Tonelli Hamiltonian such that the cotangent bundle of M is equal to the dual tiered Mane set, we prove that there is a partition of the cotangent bundle of M into invariant C0 Lagrangian graphs. Moreover, among these graphs, those that are C1 cover a residual subset of this cotangent bundle The dynamic restricted to each of these sets is non wandering.

DOI: 10.1016/j.jde.2010.12.002

Categories: math.DS

Keywords: minimization property implies, cotangent bundle, integrability, invariant c0 lagrangian graphs, dual tiered mane set

Tags: journal article

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