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

Details On the Kahler-Ricci flow with small initial E_1 energy (I) On the Kahler-Ricci flow with small initial E_1 energy (I)

2006-09-25

arxiv.org/abs/math/0609694v2

Mathematics

Differential Geometry

39 pages, minor changes. to appear in GAFA

Scientific paper

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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