Hyperbolic Coxeter n-polytopes with n+2 facets
Metric Geometry
2019-10-25 v2
Abstract
In this paper, we classify all the hyperbolic non-compact Coxeter polytopes of finite volume combinatorial type of which is either a pyramid over a product of two simplices or a product of two simplices of dimension greater than one. Combined with results of Kaplinskaja (1974) and Esselmann (1996) this completes the classification of hyperbolic Coxeter n-polytopes of finite volume with n+2 facets.
Keywords
Cite
@article{arxiv.math/0301133,
title = {Hyperbolic Coxeter n-polytopes with n+2 facets},
author = {P. Tumarkin},
journal= {arXiv preprint arXiv:math/0301133},
year = {2019}
}
Comments
14 pages, 1 figure, 13 tables; v2: a mistake in the diagram of the last 9-dimensional pyramid corrected, nothing else changed