paper

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

arXiv:math/0609694

Abstract

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.

39 pages, minor changes. to appear in GAFA

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