Horocycle flow orbits and lattice surface characterizations
Dynamical Systems
2019-05-01 v1
Abstract
The orbit closure of any translation surface under the horocycle flow in almost any direction equals its orbit closure. This result gives rise to new characterizations of lattice surfaces in terms of the hororcycle flow.
Keywords
Cite
@article{arxiv.1508.02801,
title = {Horocycle flow orbits and lattice surface characterizations},
author = {Jon Chaika and Kathryn Lindsey},
journal= {arXiv preprint arXiv:1508.02801},
year = {2019}
}
Comments
20 pages