2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/170146Let (M,g_0) be a compact Riemannian manifold of dimension n \geq 4. We show that the normalized Ricci flow deforms g_0 to a constant curvature metric provided that (M,g_0) x R has positive isotropic curvature. This condition is stronger than 2-positive flag curvature but weaker than 2-positive curvature operator.Final version, to appear in Duke Math JournalDifferential GeometryAnalysis of PDEstext