Hyperbolic Coxeter n-polytopes with n+3 facets
Metric Geometry
2019-10-30 v2
Abstract
A polytope is called a Coxeter polytope if its dihedral angles are integer parts of . In this paper we prove that if a non-compact Coxeter polytope of finite volume in has exactly facets then . We also find an example in and show that it is unique.
Keywords
Cite
@article{arxiv.math/0311272,
title = {Hyperbolic Coxeter n-polytopes with n+3 facets},
author = {Pavel Tumarkin},
journal= {arXiv preprint arXiv:math/0311272},
year = {2019}
}
Comments
This is the short version (3 pages) published in Russian Math. Surveys, 58 (2003). The full version will appear in Trans. Moscow Math. Soc., 2004