On volumes of hyperbolic orbifolds

Adeboye, Ilesanmi; Wei, Guofang

doi:10.2140/agt.2012.12.215

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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 2010

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

Volume 12, issue 1 (2012)