# Actions quasi-convexes d'un groupe hyperbolique : flot géodésique

@inproceedings{Bourdon1993ActionsQD, title={Actions quasi-convexes d'un groupe hyperbolique : flot g{\'e}od{\'e}sique}, author={Marc Bourdon and Pierre Pansu}, year={1993} }

On etudie les actions isometriques quasi-convexes d'un groupe hyperbolique au sens de M. Gromov sur les espaces metriques simplement connexes a courbure strictement negative. A une telle action sont associes : un flot geodesique (qui generalise le flot geodesique habituel sur le fibre unitaire tangent a une variete riemannienne compacte). L'ensemble limite du groupe dans le bord de l'espace, muni d'une structure conforme canonique, sur lequel le groupe agit par transformations conformes. On… Expand

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#### 24 Citations

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