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

共 50 条

[41] Accidental parabolics and relatively hyperbolic groups
François Dahmani
Israel Journal of Mathematics, 2006, 153 : 93 - 127
[42] Boundary amenability of relatively hyperbolic groups
Ozawa, Narutaka
TOPOLOGY AND ITS APPLICATIONS, 2006, 153 (14) : 2624 - 2630
[43] Floyd maps for relatively hyperbolic groups
Gerasimov, Victor
GEOMETRIC AND FUNCTIONAL ANALYSIS, 2012, 22 (05) : 1361 - 1399
[44] NORMAL AUTOMORPHISMS OF RELATIVELY HYPERBOLIC GROUPS
Minasyan, A.
Osin, D.
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2010, 362 (11) : 6079 - 6103
[45] RELATIVELY HYPERBOLIC GROUPS WITH FIXED PERIPHERALS
Cordes, Matthew
Hume, David
ISRAEL JOURNAL OF MATHEMATICS, 2019, 230 (01) : 443 - 470
[46] Existential questions in (relatively) hyperbolic groups
François Dahmani
Israel Journal of Mathematics, 2009, 173 : 91 - 124
[47] Specializing cubulated relatively hyperbolic groups
Groves, Daniel
Manning, Jason Fox
JOURNAL OF TOPOLOGY, 2022, 15 (02) : 398 - 442
[48] Peripheral fillings of relatively hyperbolic groups
Osin, DV
ELECTRONIC RESEARCH ANNOUNCEMENTS OF THE AMERICAN MATHEMATICAL SOCIETY, 2006, 12 : 44 - 52
[49] Peripheral fillings of relatively hyperbolic groups
Osin, Denis V.
INVENTIONES MATHEMATICAE, 2007, 167 (02) : 295 - 326
[50] Limit sets of relatively hyperbolic groups
Wen-yuan Yang
Geometriae Dedicata, 2012, 156 : 1 - 12

← 1 2 3 4 5 →