The maximum injectivity radius of hyperbolic orbifolds
Geometric Topology
2014-06-23 v2
Abstract
For two-dimensional orientable hyperbolic orbifolds, we show that the radius of a maximal embedded disk is greater or equal to an explicit constant \rho_T, with equality if and only if the orbifold is a sphere with three cone points of order 2, 3 and 7.
Cite
@article{arxiv.1307.3159,
title = {The maximum injectivity radius of hyperbolic orbifolds},
author = {Federica Fanoni},
journal= {arXiv preprint arXiv:1307.3159},
year = {2014}
}
Comments
28 pages, 21 figures; appendix added