2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/165061We show that a compact Riemannian manifold with weakly 1/4-pinched sectional curvatures is either locally symmetric or diffeomorphic to a space form.Final versionDifferential GeometryClassification of manifolds with weakly 1/4-pinched curvaturestext