2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/78126For metric spaces with curvature less than or equal to x, x<0, it is shown that a recurrent geodesic can be approximated by closed geodesics. A counter example is provided for the converse.15 pages, LaTeXGeometric TopologyGroup Theory53C22; 53C23text