Year: 2019
Type: article
Abstract: The convex-cocompact subgroups are central in hyperbolic geometry and more generally in negative curvature. Labourie introduced in 2005 the notion of 'Anosov' subgroup which proves progressively to be the right generalizations of convex-cocompact groups, especially after the works of Kapovich, Leeb and Porti. This exposé will review different caracteriations of those groups, emphasizing the parallel (or difference) with the negative curvature, and will give their basic properties.
Source: Astérisque
DOI: 10.24033/ast.1082
Author: Olivier GUICHARD
Institution: Institut de Recherche Mathématique Avancée
Language: French
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W3006078034