Minorations sur le des variétés riemanniennes
Volumes, courbure de Ricci et convergence des variétés
Finiteness theorems with integral conditions on curvature
Volume minimal des variétés hyperboliques : un théorème local et un résultat global
Bornes universelles pour des invariants géométriques
Uniform growth of groups acting on Cartan–Hadamard spaces
In this paper we investigate the growth of finitely generated groups. We recall the definition of the algebraic entropy of a group and show that if the group is acting as a discrete subgroup of the isometry group of a Cartan–Hadamard manifold with pinched negative curvature then a Tits alternative is true. More precisely the group is either virtually nilpotent or has a uniform growth bounded below by an explicit constant.
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