On ideal boundaries of some Coxeter groups

被引：0

作者：

Yamagata, Saeko ^{[1
]}

机构：

[1] Tohoku Univ, Inst Math, Aoba Ku, Sendai, Miyagi 9808578, Japan

来源：

NONCOMMUTATIVITY AND SINGULARITIES: PROCEEDINGS OF FRENCH-JAPANESE SYMPOSIA HELD AT IHES IN 2006 | 2009年 / 55卷

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

If a group acts geometrically (i.e., properly discontinuously, co-compactly and isometrically) on two geodesic spaces X and X', then an automorphism of the group induces a quasi-isometry X -> X'. We find a geometric action of a Coxeter group W on a CAT(0) space X and an automorphism of TV such that the quasi-isometry X -> X arising from phi can not induce a homeomorphism on the boundary of X as in the case of Gromov-hyperbolic spaces.

引用

页码：345 / 352

页数：8

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