Flat Surfaces with Finite Holonomy Groups
Dynamical Systems
2017-06-07 v2 Metric Geometry
Abstract
We prove that flow of a generic geodesic on a flat surface with finite holonomy group is ergodic. We use this result to prove that flows of generic billiards on certain flat surfaces with boundary are also ergodic.
Cite
@article{arxiv.1612.07169,
title = {Flat Surfaces with Finite Holonomy Groups},
author = {Ísmail Sağlam},
journal= {arXiv preprint arXiv:1612.07169},
year = {2017}
}
Comments
11 pages, 2 figures