Abstract
This is the continuation of our earlier article [10]. For any Köhler-Einstein surfaces with positive scalar curvature, if the initial metric has positive bisectional curvature, then we have proved (see [10]) that the Kähler-Ricci flow converges exponentially to a unique Kähler-Einstein metric in the end. This partially answers a long-standing problem in Ricci flow: On a compact Kähler-Einstein manifold, does the Kähler-Ricci flow converge to a Kähler-Einstein metric if the initial metric has positive bisectional curvature? In this article we give a complete affirmative answer to this problem.
Original language | English (US) |
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Pages (from-to) | 17-73 |
Number of pages | 57 |
Journal | Duke Mathematical Journal |
Volume | 131 |
Issue number | 1 |
DOIs | |
State | Published - Jan 1 2006 |
All Science Journal Classification (ASJC) codes
- General Mathematics