2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/115093We explain a characterization of Einstein-Fano manifolds in terms of the lower bound of the density of the volume of the Kähler-Ricci Flow. This is a direct consequence of Perelman's uniform estimate for the Kähler-Ricci Flow and a $C^0$ estimate of Tian and Zhu.27 pages, reason for replacement: an error has been correctedDifferential GeometryComplex Variablestext