Relatively hyperbolic groups: geometry and quasi-isometric invariance

被引：0

作者：

Drutu, Cornelia ^{[1
]}

机构：

[1] Math Inst, Oxford OX1 3LB, England

来源：

COMMENTARII MATHEMATICI HELVETICI | 2009年 / 84卷 / 03期

关键词：

Relative hyperbolicity; rigidity; quasi-isometry; ASYMPTOTIC CONES; RIGIDITY; THEOREM; SPACES;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper it is proved that relative hyperbolicity is a quasi-isometry invariant. As byproducts of the arguments, simplified definitions of relative hyperbolicity are provided. In particular we obtain a new definition very similar to the one of hyperbolicity, relying on the existence of a central left coset of a peripheral subgroup for every quasi-geodesic triangle.

引用

页码：503 / 546

页数：44

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