Volume 17, issue 4 (2013)

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On some convex cocompact groups in real hyperbolic space

Marc Desgroseilliers and Frédéric Haglund

Geometry & Topology 17 (2013) 2431–2484
Abstract

We generalize to a wider class of hyperbolic groups a construction by Misha Kapovich yielding convex cocompact representations into real hyperbolic space.

Keywords
$\mathrm{CAT}(0)$ polygonal complexes, Coxeter groups, separable subgroups, convex cocompact representations, real hyperbolic spaces
Mathematical Subject Classification 2010
Primary: 20E26, 20F67, 22E40, 51F15, 57M20
Secondary: 20F55, 20F65, 20H10, 53C23