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

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.

27 pages, reason for replacement: an error has been corrected

Cited by in corpus (1)

• Concavity of Perelman's $\mathcal{W}$-functional over the space of Kähler potentials