The Kähler-Ricci flow on Kähler manifolds with 2-non-negative traceless bisectional curvature operator

被引:0
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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;
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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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