English

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

Differential Geometry 2007-05-23 v2

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.

Cite

@article{arxiv.math/0609694,
  title  = {On the Kahler-Ricci flow with small initial E_1 energy (I)},
  author = {Xiuxiong Chen and Haozhao Li and Bing Wang},
  journal= {arXiv preprint arXiv:math/0609694},
  year   = {2007}
}

Comments

39 pages, minor changes. to appear in GAFA

R2 v1 2026-07-22T17:42:57.794Z