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On the Kahler-Ricci flow with small initial E1 energy (I)

Xiuxiong Chen, Haozhao Li, Bing Wang

math.DGarXiv:math/0609694

Abstract

In this paper, we prove that the Kahler Ricci flow converges to a Kahler Einstein metric when E1 energy is small. We also prove that E1 is bounded from below if and only if the K energy is bounded from below in the canonical class.

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