2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/140500The author shows that equicontinuous geodesic flows on surfaces are periodic. A similar result for flows on 3-manifolds is also proven. The idea of the proof is to show that the return map is recurrent and therefore periodic.14 pagesDynamical SystemsDifferential Geometry54H20; 53C12text