IMHOTEP: Journal Africain de Mathématiques Pures et Appliquées
Abstract
Let (M;g) be a compact Riemannian manifold of hyperbolic type and X be its universal Riemannian covering. We study in this paper, the growth function of the geodesic balls of X. We show that the critical exponent of the group of deck transformations of X is equal to the volume entropy hg of M