2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/66496In this paper, we prove a global rigidity theorem for negatively curved Finsler metrics on a compact manifold of dimension n>2. We show that for such a Finsler manifold, if the flag curvature is a scalar function on the tangent bundle, then the Finsler metric is of Randers type. We also study the case when the Finsler metric is locally projectively flat.10 pagesDifferential GeometryMetric Geometry53C60text