The maximum injectivity radius of hyperbolic orbifolds

2013/07/11 by Federica Fanoni, Fanoni, Federica
Mathematics · #53C22 (Secondary) #57R18 (Primary) 32G15 #FOS: Mathematics #Geometric Topology (math.GT) #math.GT #msc:32G15 #msc:53C22 #msc:57R18

paper · pdf · doi:10.48550/arxiv.1307.3159

28 pages, 21 figures; appendix added

arxiv created 2014/06/20 · arxiv updated 2014/06/23

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.

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