2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/129669We give a lower bound for the length of a non-trivial geodesic loop on a simply-connected and compact manifold of even dimension with a non-reversible Finsler metric of positive flag curvature. Harris and Paternain use this estimate in their recent paper [HP] to give a geometric characterization of dynamically convex Finsler metrics on the 2-sphere.4 pagesDifferential Geometry53C60; 53C20; 53C22text