On volumes of hyperbolic orbifolds

Details On volumes of hyperbolic orbifolds On volumes of hyperbolic orbifolds

2009-11-24

arxiv.org/abs/0911.4712v2

Mathematics

Geometric Topology

16 pages, LaTeX; result modified, typos added, references added, new Section 5 included

Scientific paper

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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