Non-amenability and visual Gromov hyperbolic spaces

被引：2
|
作者：
Koivisto, Juhani [1 ]
机构：
[1] Univ Southern Denmark, Dept Math & Comp Sci, Campusvej 55, DK-5230 Odense M, Denmark
来源：
GROUPS GEOMETRY AND DYNAMICS | 2017年 / 11卷 / 02期
关键词：
Hyperbolic spaces; isoperimetry; amenability;
D O I：
10.4171/GGD/412
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove that a uniformly coarsely proper hyperbolic cone over a bounded metric space consisting of a finite union of uniformly coarsely connected components each containing at least two points is non-amenable and apply this to visual Gromov hyperbolic spaces.
引用
收藏
页码：685 / 704
页数：20
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