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The Kähler-Ricci flow on Kähler manifolds with 2-non-negative traceless bisectional curvature operator
被引：0
|作者：
Xiuxiong Chen
Haozhao Li
机构：
[1] University of Wisconsin-Madison,Department of Mathematics
[2] Peking University,School of Mathematical Sciences
来源：
Chinese Annals of Mathematics, Series B
|
2008年
/
29卷
关键词：
Kähler-Ricci flow;
2-Non-negative bisectional curvature;
53C44;
32Q20;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The authors show that the 2-non-negative traceless bisectional curvature is preserved along the Kähler-Ricci flow. The positivity of Ricci curvature is also preserved along the Kähler-Ricci flow with 2-non-negative traceless bisectional curvature. As a corollary, the Kähler-Ricci flow with 2-non-negative traceless bisectional curvature will converge to a Kähler-Ricci soliton in the sense of Cheeger-Gromov-Hausdorff topology if complex dimension n ≥ 3.
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页码：543 / 556
页数：13
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