The Khler-Ricci Flow on Khler Manifolds with 2-Non-negative Traceless Bisectional Curvature Operator 期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

The Khler-Ricci Flow on Khler Manifolds with 2-Non-negative Traceless Bisectional Curvature Operator

作者单位：	Xiuxiong CHEN Haozhao LI Department of Mathematics,University of Wisconsin-Madison,Madison WI 53706,USA. School of Mathematical Sciences,Peking University,Beijing 100871,China.

摘要：	The authors show that the 2-non-negative traceless bisectional curvature is preserved along the Khler-Ricci flow. The positivity of Ricci curvature is also preserved along the Khler-Ricci flow with 2-non-negative traceless bisectional curvature. As a corollary, the Khler-Ricci flow with 2-non-negative traceless bisectional curvature will converge to a Khler-Ricci soliton in the sense of Cheeger-Gromov-Hausdorff topology if complex dimension n ≥ 3.
关键词：	Khler-Ricci flow 2-Non-negative bisectional curvature
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