Ricci flow on Kaehler manifolds

Mathematics – Differential Geometry

Scientific paper

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5 pages

Scientific paper

10.1016/S0764-4442(00)01719-5

In this paper, we announce the following results: Let M be a Kaehler-Einstein
manifold with positive scalar curvature. If the initial metric has nonnegative
bisectional curvature and positive at least at one point, then the
K\"ahler-Ricci flow converges exponentially fast to a Kaehler-Einstein metric
with constant bisectional curvature.

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