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

Nefton Pali
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Abstract

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.

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Nefton Pali. 2006-10-20. Characterization of Einstein-Fano manifolds via the Kähler-Ricci flow. https://arxiv.org/abs/math/0607581

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