The stable norm on the 2-torus at irrational directions
Dynamical Systems
2015-12-09 v1 Differential Geometry
Abstract
We study the structure of the stable norm of Finsler metrics on the 2-torus with a focus to points of irrational slope. By our results, the stable norm detects KAM-tori and hyperbolicity in the geodesic flow. Moreover, we study the stable norm in some natural examples.
Keywords
Cite
@article{arxiv.1512.02447,
title = {The stable norm on the 2-torus at irrational directions},
author = {Stefan Klempnauer and Jan Philipp Schröder},
journal= {arXiv preprint arXiv:1512.02447},
year = {2015}
}
Comments
32 pages, 3 figures