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Stability of K\"ahler-Ricci flow

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arxiv 0801.3086 v3 pith:I5PXM4SW submitted 2008-01-20 math.DG math.AP

Stability of K\"ahler-Ricci flow

classification math.DG math.AP
keywords ahler-ricciflowconvergenceahler-einsteinapplicationscomplexconditionscurvature
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We prove the convergence of K\"ahler-Ricci flow with some small initial curvature conditions. As applications, we discuss the convergence of K\"ahler-Ricci flow when the complex structure varies on a K\"ahler-Einstein manifold.

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