A note on density of geodesics
Dynamical Systems
2024-04-01 v1 Number Theory
Abstract
We extend the famous result of Katok and Zemlyakov on the density of half-infinite geodesics on finite flat rational surfaces to half-infinite geodesics on a finite polycube translation -manifold. We also extend this original result to establish a weak uniformity statement.
Cite
@article{arxiv.2403.19960,
title = {A note on density of geodesics},
author = {J. Beck and W. W. L. Chen and Y. Yang},
journal= {arXiv preprint arXiv:2403.19960},
year = {2024}
}
Comments
10 pages, 3 figures