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

页码：685 / 704

页数：20

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