2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/72321We prove that for any complete n-dimensional Riemannian manifold with nonnegative Ricci curvature, if the Nash inequality is satisfied, then it is diffeomorphic to $R^{n}$l.five pages, latex fileDifferential GeometryAlgebraic TopologyPrimary 53C20;Secondary 58B05,53C23Manifolds with non-negative Ricci curvature and Nash inequalitiestext