Uniform growth of groups acting on Cartan-Hadamard spaces.
Résumé
Let $X$ be an $n$-dimensional simply connected manifold of pinched sectional curvature $-a^2 \leq K \leq -1$. There exist a positive constant $C(n,a)$ such that for any finitely generated discrete group $\Gamma$ acting on $X$, then either $\Gamma$ is virtually nilpotent or the algebraic entropy $Ent (\Gamma) \geq C(n,a)$.
Domaines
Géométrie différentielle [math.DG]| Origine | Fichiers produits par l'(les) auteur(s) |
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