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On the Kahler-Ricci flow with small initial E_1 energy (I)
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math.DG
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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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