A class of hyperbolic Coxeter groups
type: Item
instance of: scholarly article
title: A class of hyperbolic Coxeter groups
zbMATH Open document ID: 0572.51012
author: Hans-Christoph Im Hof
published in: Expositiones Mathematicae
publication date: 1985-01-01T00:00:00Z
review text: Let \(P^ n\) be the real projective n-space equipped with a quadric Q inducing hyperbolic geometry in its interior. The author generalizes the notion of an orthoscheme to so called complete orthoschemes and claims that a list given by him contains all complete orthoschemes in \((P^ n,Q)\) whose dihedral angles are either natural or of type \(\circ\overset{^\infty}\diagrbar\circ\theta_\rho\circ\diagrbar\circ\). The result yields the classification of a certain type of hyperbolic Coxeter groups with finite covolume.
Mathematics Subject Classification ID: 51F15
Mathematics Subject Classification ID: 51M10
zbMATH DE Number: 3913135
zbMATH Keywords: hyperbolic geometry
zbMATH Keywords: complete orthoschemes
zbMATH Keywords: hyperbolic Coxeter groups
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3913135