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2009 Volume estimates for equiangular hyperbolic Coxeter polyhedra
Christopher K Atkinson
Algebr. Geom. Topol. 9(2): 1225-1254 (2009). DOI: 10.2140/agt.2009.9.1225

Abstract

An equiangular hyperbolic Coxeter polyhedron is a hyperbolic polyhedron where all dihedral angles are equal to πn for some fixed n, n2. It is a consequence of Andreev’s theorem that either n=3 and the polyhedron has all ideal vertices or that n=2. Volume estimates are given for all equiangular hyperbolic Coxeter polyhedra.

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Christopher K Atkinson. "Volume estimates for equiangular hyperbolic Coxeter polyhedra." Algebr. Geom. Topol. 9 (2) 1225 - 1254, 2009. https://doi.org/10.2140/agt.2009.9.1225

Information

Received: 26 June 2008; Revised: 6 May 2009; Accepted: 11 May 2009; Published: 2009
First available in Project Euclid: 20 December 2017

zbMATH: 1170.57012
MathSciNet: MR2519588
Digital Object Identifier: 10.2140/agt.2009.9.1225

Subjects:
Primary: 57M50
Secondary: 30F40

Rights: Copyright © 2009 Mathematical Sciences Publishers

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