Characterization of Einstein-Fano manifolds via the Kähler-Ricci flow

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We 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 corrected

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