2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/60701We prove minimal entropy rigidity for complete, finite volume manifolds locally isometric to a product of rank one symmetric spaces of dimension at least 3: the locally symmetric metric uniquely minimizes (normalized) entropy among all Riemannian metrics. The corresponding theorem is true for maps into these spaces as well.Differential GeometryGeometric Topologytext