Algebraic & Geometric Topology 9 (2009) 1225–1254

DOI: 10.2140/agt.2009.9.1225

Abstract

An equiangular hyperbolic Coxeter polyhedron is a hyperbolic polyhedron where all dihedral angles are equal to π ∕ n for some fixed n in Z, n ≥ 2. 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.

Keywords

hyperbolic geometry, Coxeter polyhedra, 3-orbifolds

Mathematical Subject Classification

Primary: 57M50

Secondary: 30F40

References

Publication

Received: 26 June 2008
Revised: 6 May 2009
Accepted: 11 May 2009
Published: 13 June 2009

Authors