Day's fixed point theorem, group cohomology, and quasi-isometric rigidity

被引：2
|
作者：
Dymarz, Tullia [1 ]
Xie, Xiangdong [2 ]
机构：
[1] Univ Wisconsin, Dept Math, 480 Lincoln Dr, Madison, WI 53706 USA
[2] Bowling Green State Univ, Dept Math & Stat, Bowling Green, OH 43403 USA
来源：
GROUPS GEOMETRY AND DYNAMICS | 2016年 / 10卷 / 04期
基金：
美国国家科学基金会;
关键词：
Day's fixed point theorem; Tukia theorem; quasiconformal group; uniform quasisimilarity group; COARSE DIFFERENTIATION; CONFORMAL MAPS; BOUNDARIES; ENVELOPES; GEOMETRY; SPACES;
D O I：
10.4171/GGD/378
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this note we explain how Day's fixed point theorem can be used to conjugate certain groups of biLipschitz maps of a metric space into special subgroups like similarity groups. In particular, we use Day's theorem to establish Tukia-type theorems and to give new proofs of quasi-isometric rigidity results.
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页码：1121 / 1148
页数：28
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