On a theorem due to Birkhoff
Symplectic Geometry
2010-06-18 v2 Dynamical Systems
Abstract
The manifold M being compact and connected, we prove that every submanifold of its cotangent bundle that is Hamiltonianly isotopic to the zero-section and that is invariant by a Tonelli flow is a graph.
Keywords
Cite
@article{arxiv.1004.0028,
title = {On a theorem due to Birkhoff},
author = {Marie-Claude Arnaud},
journal= {arXiv preprint arXiv:1004.0028},
year = {2010}
}