Notes on right-angled Coxeter polyhedra in hyperbolic spaces

被引：12

作者：

Dufour, Guillaume ^{[1
]}

机构：

[1] Univ Paris 11, Dept Math, F-91405 Orsay, France

来源：

GEOMETRIAE DEDICATA | 2010年 / 147卷 / 01期

关键词：

Hyperbolic geometry; Combinatorics; Right-angled Coxeter polyhedra;

D O I：

10.1007/s10711-009-9454-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that (finite volume) right-angled Coxeter polyhedra may exist in hyperbolic spaces only in dimension at most 12. This is a slight improvement on a theorem of Potyagailo and Vinberg stated in Potyagailo and Vinberg (Comment Math Helv 80:1-12, 2005).

引用

页码：277 / 282

页数：6

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