A geometric definition of the Mañé-Mather set and a Theorem of Marie-Claude Arnaud.
Résumé
We study some properties of Lipschitz exact Lagrangian manifolds isotopic to the zero section. We prove that if such a manifold is invariant under an optical Hamiltonian, then it must be a Lipschitz graph. This extends a recent result of Marie-Claude Arnaud. We also obtain a new geometric description of the Mañé-Mather invariant set.
Domaines
Systèmes dynamiques [math.DS]
Origine : Fichiers produits par l'(les) auteur(s)