Bounds for several-disk packings of hyperbolic surfaces
Geometric Topology
2018-06-11 v4
Abstract
For any given natural number , this paper gives upper bounds on the radius of a packing of a complete hyperbolic surface of finite area by equal-radius disks in terms of the surface's topology. We show that the bounds given here are sharp in some cases and not sharp in others.
Cite
@article{arxiv.1701.07770,
title = {Bounds for several-disk packings of hyperbolic surfaces},
author = {Jason DeBlois},
journal= {arXiv preprint arXiv:1701.07770},
year = {2018}
}
Comments
Revised following referee's comments. Minor corrections and changes to exposition