2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/106232Let $X$ be a globally symmetric space of noncompact type, and $Γ\subset\Isom(X)$ a Schottky group of axial isometries. Then $M:=X/Γ$ is a locally symmetric Riemannian manifold of infinite volume. The goal of this note is to give an asymptotic estimate for the number of primitive closed geodesics in $M$ modulo free homotopy with period less than $t$.15 pagesDifferential GeometryGroup Theory53C35;53C22;22E40Growth of conjugacy classes of Schottky groups in higher rank symmetric spacestext