Flat Surfaces with Finite Holonomy Groups

Autor:	Sağlam, Ísmail
Rok vydání:	2016
Předmět:	Mathematics - Dynamical Systems Mathematics - Metric Geometry 51F99 37E35 57M50 32G15 7D40 37D50 30F10
Druh dokumentu:	Working Paper
Popis:	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. Comment: 11 pages, 2 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1612.07169 Zobrazit plný text záznamu View this record from Arxiv