On volumes of hyperbolic orbifolds

Abstract

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.

19 pages, LaTeX; typos added, Section 5 revised

References in corpus (1)

• On volumes of arithmetic quotients of PO(n,1), n odd

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