Hyperbolic groups with planar boundaries - Archive ouverte HAL Access content directly
Journal Articles Inventiones Mathematicae Year : 2015

Hyperbolic groups with planar boundaries

Abstract

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 strictly less than $2$ or if it acts geometrically on a CAT(0) cube complex.
Fichier principal
Vignette du fichier
planargroup.pdf (479.19 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-00786453 , version 1 (08-02-2013)
hal-00786453 , version 2 (23-05-2014)

Identifiers

Cite

Peter Haïssinsky. Hyperbolic groups with planar boundaries. Inventiones Mathematicae, 2015, 201 (no. 1), pp.239 -- 307. ⟨hal-00786453v2⟩
481 View
645 Download

Altmetric

Share

Gmail Facebook X LinkedIn More