The $C^0$ integrability of symplectic twist maps without conjugate points
Dynamical Systems
2016-06-13 v1
Abstract
We prove that symplectic twist maps defined on the cotangent bundle of the d-dimensional torus that have no conjugate points are integrable, i.e. the cotangent bundle is continuously foliated by a family of invariant Lagrangian graphs.
Keywords
Cite
@article{arxiv.1606.03132,
title = {The $C^0$ integrability of symplectic twist maps without conjugate points},
author = {Marc Arcostanzo},
journal= {arXiv preprint arXiv:1606.03132},
year = {2016}
}