Kaehler-Ricci flow and the Poincare-Lelong equation
微分几何
2007-05-23 v1
摘要
We show that the solution constructed in an earlier work of Y-G. Shi and the authors can be used to obtain sharp gradient estimates for the Kaehler-Ricci flow which achieves equality on a steady soliton. The estimate can be applied to obtain a long time existence of the Kaehler-Ricci flow. In the second part of the paper we develope a so-called "moment" type estimate for the Kaehler-Ricci flow, through which we prove that the flow preserves several properties. In the last part we study the convergence of the Kaehler-Ricci flow.
引用
@article{arxiv.math/0211219,
title = {Kaehler-Ricci flow and the Poincare-Lelong equation},
author = {Lei Ni and Luen-Fai Tam},
journal= {arXiv preprint arXiv:math/0211219},
year = {2007}
}
备注
to appear in Communications in Analysis and Geometry