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arxiv: math/0609694 · v2 · pith:CKBLCFUQ · submitted 2006-09-25 · math.DG

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

Xiuxiong Chen , Haozhao Li , Bing Wang This is my paper

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classification math.DG
keywords energybelowboundedflowkahlerprovesmallcanonical
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In this paper, we prove that the Kahler Ricci flow converges to a Kahler Einstein metric when E_1 energy is small. We also prove that E_1 is bounded from below if and only if the K energy is bounded from below in the canonical class.

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