On the horoboundary and the geometry of rays of negatively curved manifolds

Marc Peigné (1) , Françoise Dal'Bo-Milonet (2) , Andrea Sambusetti (3)

1 LMPT - Laboratoire de Mathématiques et Physique Théorique
2 IRMAR - Institut de Recherche Mathématique de Rennes
3 UNIROMA - Università degli Studi di Roma "La Sapienza" = Sapienza University [Rome]

We compare here the horoboundary of an the visual one of a (non necessarily simply connected) negatively curved manifolds.

Mots clés: Gromov boundary; horofunction; compactification; geometrically finite manifold; asymptotic ray

Domaines: Systèmes dynamiques [math.DS]

Marc Peigné, Françoise Dal'Bo-Milonet, Andrea Sambusetti. On the horoboundary and the geometry of rays of negatively curved manifolds. Pacific Journal of Mathematics, 2012, 259 (1), pp.55-100. ⟨hal-00529806⟩