Bounding surface actions on hyperbolic spaces
Group Theory
2012-07-10 v4 Geometric Topology
Abstract
We give a diameter bound for fundamental domains for isometric actions of the fundamental group of a closed hyperbolic surface on a delta-hyperbolic space, where the bound depends on the hyperbolicity constant delta, the genus of the surface, and the injectivity radius of the action, which we assume to be strictly positive.
Cite
@article{arxiv.0709.2722,
title = {Bounding surface actions on hyperbolic spaces},
author = {Josh Barnard},
journal= {arXiv preprint arXiv:0709.2722},
year = {2012}
}
Comments
v4: 8 pages; 3 figures; final version