Uniqueness of Invariant Lagrangian Graphs in a Homology or a Cohomology Class

Details Uniqueness of Invariant Lagrangian Graphs in a Homology or a Cohomology Class Uniqueness of Invariant Lagrangian Graphs in a Homology or a Cohomology Class

2008-01-23

arxiv.org/abs/0801.3568v2

Ann. Sc. Norm. Super. Pisa Cl. Sci.(5) Vol. 78 (2009), no. 4, 659-680

Mathematics

Dynamical Systems

20 pages. Version published on Ann. Sc. Norm. Super. Pisa Cl. Sci.(5) Vol. 8, no. 4, 659-680, 2009

Scientific paper

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 $\rho$. This result extends generically to the $C^0$-closure of KAM tori.

Affiliated with

Also associated with

No associations

Rating

Uniqueness of Invariant Lagrangian Graphs in a Homology or a Cohomology Class does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Uniqueness of Invariant Lagrangian Graphs in a Homology or a Cohomology Class, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Uniqueness of Invariant Lagrangian Graphs in a Homology or a Cohomology Class will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-183634