The Khler-Ricci Flow on Khler Manifolds with 2-Non-negative Traceless Bisectional Curvature Operator  

作　　者：Xiuxiong CHEN Haozhao LI 

机构地区：[1]Department of Mathematics, University of Wisconsin-Madison,Madison WI 53706, USA [2]School of Mathematical Sciences, Peking University, Beijing 100871, China

出　　处：《Chinese Annals of Mathematics,Series B》2008年第5期543-556,共14页数学年刊（B辑英文版）

基　　金：the National Science Foundation (No. DMS-0406346)

摘　　要：The authors show that the 2-non-negative traceless bisectional curvature is preserved along the Kahler-Ricci flow. The positivity of Ricci curvature is also preserved along the Kahler-Ricci flow with 2-non-negative traceless bisectional curvature. As a corol- lary, the Kahler-Ricci flow with 2-non-negative traceless bisectional curvature will converge to a Kahler-Ricci soliton in the sense of Cheeger-Cromov-Hausdorff topology if complex dimension n ≥ 3.

关 键 词：Kaihler-Ricci flow 2-Non-negative bisectional curvature 

分 类 号：O186.12[理学—数学]