A connecting theorem for geodesic flows on the 2-torus
Dynamical Systems
2021-02-08 v2 Differential Geometry
Abstract
We use a result of J. Mather on the existence of connecting orbits for compositions of monotone twist maps of the cylinder to prove the existence of connecting geodesics on the unit tangent bundle of the 2-torus in regions without invariant tori.
Cite
@article{arxiv.2102.00470,
title = {A connecting theorem for geodesic flows on the 2-torus},
author = {Stefan Klempnauer},
journal= {arXiv preprint arXiv:2102.00470},
year = {2021}
}