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Characterization of Einstein-Fano manifolds via the K\"ahler-Ricci flow
We explain a characterization of Einstein-Fano manifolds in terms of the lower bound of the density of the volume of the Kahler-Ricci Flow. This is a consequence of Perelman's uniform estimate for the Kahler-Ricci Flow and a C° estimate of Tian and Zhu. We remark also a new monotonicity of …