Finsler perturbation with nondense geodesics with irrational directions
Dynamical Systems
2021-09-21 v2
Abstract
We show that given any Liouville direction and flat Finsler torus, one can make a -small perturbation on an arbitrarily small disc to get a nondense geodesic in the given direction.
Cite
@article{arxiv.1902.10546,
title = {Finsler perturbation with nondense geodesics with irrational directions},
author = {Dmitri Burago and Dong Chen},
journal= {arXiv preprint arXiv:1902.10546},
year = {2021}
}
Comments
14 pages, to appear in Asian Journal of Mathematics