Ricci flow on compact Kahler manifolds of positive bisectional curvature

被引：17

作者：

Cao, HD ^{[1
]}

Chen, BL

Zhu, XP

机构：

[1] Texas A&M Univ, Dept Math, College Stn, TX 77843 USA

[2] Univ Calif Los Angeles, Inst Pure & Appl Math, Los Angeles, CA 90095 USA

[3] Zhongshan Univ, Dept Math, Guangzhou 510275, Peoples R China

[4] Chinese Univ Hong Kong, Inst Math Sci, Unit 601, Shatin, Hong Kong, Peoples R China

来源：

COMPTES RENDUS MATHEMATIQUE | 2003年 / 337卷 / 12期

关键词：

D O I：

10.1016/j.crma.2003.09.030

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This Note announces a new proof of the uniform estimate on the curvature of metric solutions to the Ricci flow on a compact Kahler manifold with positive bisectional curvature. This proof does not pre-suppose the existence of a Kahler-Einstein metric on the manifold, unlike the recent work of XiuXiong Chen and Gang Tian. It is based on the Harnack inequality for the Ricci-Kahler flow (see Invent. Math. 10 (1992) 247-263), and also on an estimation of the injectivity radius for the Ricci flow, obtained recently by Perelman.

引用

页码：781 / 784

页数：4

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