2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/58857We prove a finiteness theorem for the class of complete finite volume Riemannian manifolds with pinched negative sectional curvature, fixed fundamental group, and of dimension $>2$. One of the key ingredients is that the fundamental group of such a manifold does not admit a small nontrivial action on an $R$-tree.27 pagesDifferential GeometryGroup Theory53C20 20F65text