Hyperbolic Coxeter n-polytopes with n+2 facets

Details Hyperbolic Coxeter n-polytopes with n+2 facets Hyperbolic Coxeter n-polytopes with n+2 facets

2003-01-13

arxiv.org/abs/math/0301133v1

Mathematics

Metric Geometry

14 pages, 1 figure, 13 tables

Scientific paper

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.

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