The maximum injectivity radius of hyperbolic orbifolds

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 ρ_T, with equality if and only if the orbifold is a sphere with three cone points of order 2, 3 and 7.

arXiv comment28 pages, 21 figures; appendix added