Conformal dimension and Gromov hyperbolic groups with 2-sphere boundary

被引：52

作者：

Bonk, M ^{[1
]}

Kleiner, B ^{[1
]}

机构：

[1] Univ Michigan, Dept Math, Ann Arbor, MI 48109 USA

来源：

GEOMETRY & TOPOLOGY | 2005年 / 9卷

关键词：

Gromov hyperbolic groups; Cannon's conjecture; quasisymmetric maps;

D O I：

10.2140/gt.2005.9.219

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Suppose G is a Gromov hyperbolic group, and partial derivative(infinity)G is quasisymmetrically homeomorphic to an Ahlfors Q-regular metric 2-sphere Z with Ahlfors regular conformal dimension Q. Then G acts discretely, cocompactly, and isometrically on H-3.

引用

页码：219 / 246

页数：28

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