A certain minimization property implies a certain integrability
Dynamical Systems
2010-05-19 v1
Abstract
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.
Cite
@article{arxiv.1005.3134,
title = {A certain minimization property implies a certain integrability},
author = {Marie-Claude Arnaud},
journal= {arXiv preprint arXiv:1005.3134},
year = {2010}
}