Convex cocompact actions of relatively hyperbolic groups

被引：3

作者：

Islam, Mitul ^{[1
]}

Zimmer, Adrew ^{[2
,3
]}

机构：

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

[2] Heidelberg Univ, Math Inst, Heidelberg, Germany

[3] Louisiana State Univ, Dept Math, Baton Rouge, LA USA

来源：

GEOMETRY & TOPOLOGY | 2023年 / 27卷 / 02期

关键词：

PROJECTIVE-STRUCTURES; SPACES; INVARIANTS; MANIFOLDS; GEOMETRY; CONES;

D O I：

10.2140/gt.2023.27.417

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider discrete groups in PGLd (R) acting convex cocompactly on a properly convex domain in real projective space. For such groups, we establish necessary and sufficient conditions for the group to be relatively hyperbolic in terms of the geometry of the convex domain. This answers a question of Danciger, Gueritaud and Kassel and is analogous to a result of Hruska and Kleiner for CAT(0) spaces.

引用

页码：417 / 511

页数：96

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