|
|
| |
| The K¨ahler-Ricci Flow on K¨ahler Manifolds with 2-Non-negative Traceless Bisectional Curvature Operator |
| |
Citation： |
Xiuxiong CHEN,Haozhao LI.The K¨ahler-Ricci Flow on K¨ahler Manifolds with 2-Non-negative Traceless Bisectional Curvature Operator[J].Chinese Annals of Mathematics B,2008,29(5):543~556 |
| Page view： 1217
Net amount： 729 |
Authors： |
Xiuxiong CHEN; Haozhao LI |
Foundation： |
the National Science Foundation (No. DMS-0406346) |
|
|
| Abstract： |
The authors show that the 2-non-negative traceless bisectional curvature is preserved along the K¨ahler-Ricci flow. The positivity of Ricci curvature is also preserved along the K¨ahler-Ricci flow with 2-non-negative traceless bisectional curvature. As a corollary, the K¨ahler-Ricci flow with 2-non-negative traceless bisectional curvature will converge
to a K¨ahler-Ricci soliton in the sense of Cheeger-Gromov-Hausdorff topology if complex dimension $n \geq 3$. |
Keywords： |
K¨ahler-Ricci flow, 2-Non-negative bisectional curvature |
Classification： |
53C44, 32Q20 |
|
|
Download PDF Full-Text
|
