2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/102177Let X be a Hadamard manifold and $Γ$ a discrete group of isometries of X which contains an axial isometry without invariant flat half plane. We study the behavior of conformal densities on the geometric limit set of $Γ$ in order to derive a new asymptotic estimate for the growth rate of closed geodesics in not necessarily compact or finite volume manifolds.revised version: added reference, corrected typos, 17 pages, to appear in Annals of Global Analysis and GeometryDifferential Geometry20E45; 53C22; 37F35text