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On volumes of hyperbolic orbifolds

Ilesanmi Adeboye and Guofang Wei

Algebraic & Geometric Topology 12 (2012) 215–233

DOI: 10.2140/agt.2012.12.215
Abstract

We use H C Wang’s bound on the radius of a ball embedded in the fundamental domain of a lattice of a semisimple Lie group to construct an explicit lower bound for the volume of a hyperbolic n–orbifold.

Keywords

hyperbolic orbifold, volume
Mathematical Subject Classification

Primary: 57M50, 57N16

Secondary: 20H10, 22E40
References
Publication

Received: 20 November 2010
Revised: 13 November 2011
Accepted: 15 November 2011
Published: 24 February 2012
Authors
Ilesanmi Adeboye
Department of Mathematics and Computer Science
Wesleyan University
Middletown CT 06459
USA
Guofang Wei
Department of Mathematics
University of California Santa Barbara
Santa Barbara CA 93106
USA