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Kähler–Ricci flow on blowups along submanifolds

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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… Click to show full abstract

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.

Keywords: ricci flow; flow blowups; blowups along; hler ricci; flow

Journal Title: Mathematische Annalen
Year Published: 2019

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