Hyperbolic groups with planar boundaries

We prove that the class of convex-cocompact Kleinian groups is quasi-isometrically rigid. We also establish that a word hyperbolic group with a planar boundary different from the sphere is virtually a convex-cocompact Kleinian group provided that its boundary has Ahlfors regular conformal dimension...

Ausführliche Beschreibung

Bibliographische Detailangaben

Veröffentlicht in:	Inventiones mathematicae 2015-07, Vol.201 (1), p.239-307
1. Verfasser:	Haïssinsky, Peter
Format:	Artikel
Sprache:	eng
Schlagworte:	Group Theory Mathematics Mathematics and Statistics Metric Geometry
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!