Volume estimates for equiangular hyperbolic Coxeter polyhedra

Details Volume estimates for equiangular hyperbolic Coxeter polyhedra Volume estimates for equiangular hyperbolic Coxeter polyhedra

2008-04-16

arxiv.org/abs/0804.2682v3

Algebraic & Geometric Topology 9 (2009) 1225-1254

Mathematics

Geometric Topology

27 pages, 11 figures; corrected typo in Theorem 2.4

Scientific paper

An equiangular hyperbolic Coxeter polyhedron is a hyperbolic polyhedron where
all dihedral angles are equal to \pi/n for some fixed integer n at least 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.

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