This is the continuation of our earlier article . For any Köhler-Einstein surfaces with positive scalar curvature, if the initial metric has positive bisectional curvature, then we have proved (see ) 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)|
|Number of pages||57|
|Journal||Duke Mathematical Journal|
|State||Published - Jan 1 2006|
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