arXiv Analytics

Sign in

arXiv:1606.03132 [math.DS]AbstractReferencesReviewsResources

The $C^0$ integrability of symplectic twist maps without conjugate points

Marc Arcostanzo

Published 2016-06-09Version 1

We prove that symplectic twist maps defined on the cotangent bundle of the d-dimensional torus that have no conjugate points are $C^0$ integrable, i.e. the cotangent bundle is continuously foliated by a family of invariant Lagrangian graphs.

Categories: math.DS
Related articles: Most relevant | Search more
arXiv:math/9201297 [math.DS] (Published 1991-11-11)
Periodic orbits for Hamiltonian systems in cotangent bundles
arXiv:math/0607436 [math.DS] (Published 2006-07-18)
Hyperbolic times: frequency versus integrability
arXiv:2105.07170 [math.DS] (Published 2021-05-15, updated 2021-08-16)
Some Dynamical Properties on Manifolds with no Conjugate Points

Links

Toolbox