Arrondissement de Lyon, Francia
Estados Unidos
Given a smooth compact Riemannian manifold M and a Hamiltonian H on the cotangent space T∗M, strictly convex and superlinear in the momentum variables, we prove uniqueness of certain “ergodic” invariant Lagrangian graphs within a given homology or cohomology class. In particular, in the context of quasi-integrable Hamiltonian systems, our result implies global uniqueness of Lagrangian KAM tori with rotation vector ρ. This result extends generically to the C0-closure of KAM tori.
© 2001-2024 Fundación Dialnet · Todos los derechos reservados