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arxiv: 0911.4712 · v3 · pith:ZU66ZQ7Vnew · submitted 2009-11-24 · 🧮 math.GT

On volumes of hyperbolic orbifolds

classification 🧮 math.GT
keywords boundhyperbolicballderivedimensionsdiscretedomainembedded
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In this paper we derive an explicit lower bound on the volume of a hyperbolic $n$-orbifold for dimensions greater than or equal to four. Our main tool is H. C. Wang's bound on the radius of a ball embedded in the fundamental domain of a discrete subgroup of a semisimple Lie group.

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