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

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

2006-07-23

arxiv.org/abs/math/0607581v2

Mathematics

Differential Geometry

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

Scientific paper

We explain a characterization of Einstein-Fano manifolds in terms of the
lower bound of the density of the volume of the K\"ahler-Ricci Flow. This is a
direct consequence of Perelman's uniform estimate for the K\"ahler-Ricci Flow
and a $C^0$ estimate of Tian and Zhu.

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