The maximum injectivity radius of hyperbolic orbifolds
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🧮 math.GT
keywords
hyperbolicorbifoldsradiusconeconstantdiskembeddedequal
read the original 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.
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