Volume estimates for equiangular hyperbolic Coxeter polyhedra
Geometric Topology
2014-10-01 v3
Abstract
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.
Cite
@article{arxiv.0804.2682,
title = {Volume estimates for equiangular hyperbolic Coxeter polyhedra},
author = {Christopher K. Atkinson},
journal= {arXiv preprint arXiv:0804.2682},
year = {2014}
}
Comments
27 pages, 11 figures; corrected typo in Theorem 2.4