2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/134497In this paper we present several curvature estimates and convergence results for solutions of the Ricci flow. The curvature estimates depend on smallness of certain local space-time integrals of the norm of the Riemann curvature tensor, while the convergence results require finiteness of space-time integrals of the norm of the Riemann curvature tensor. They also serve as characterizations of blow-up singularities.20 pagesDifferential Geometry53C20 (Primary), 53C21 (Secondary)text