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Kahler-Ricci flow on blowups along submanifolds
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math.DG
keywords
flowkahlersubmanifoldsalongbasebehaviorblowupscompact
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In this short note, we study the behavior of Kaher-Ricci flow on Kahler manifolds which contract divisors to smooth submanifolds. We show that the Kahler potentials are Holder continuous and the flow converges sequentially in Gromov-Hausdorff topology to a compact metric space which is homeomorphic to the base manifold.
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