Regularity of Kähler–Ricci flows on Fano manifolds

By G. Tian, Zhenlei Zhang. 2013

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In this paper, we will establish a regularity theory for the Kähler–Ricci flow on Fano n-manifolds with Ricci curvature bounded in Lp-norm for some $${p > n}$$p>n. Using this regularity theory, we will also solve a long-standing conjecture for dimension 3. As an application, we give a new proof of the Yau–Tian–Donaldson conjecture for Fano 3-manifolds. The results have been announced in [45].

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/351f8afb72fd13581f29c115f985d69a7f03a3d9