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arXiv · 1310.5897

Regularity of Kähler-Ricci flows on Fano manifolds

Gang Tian·Zhenlei Zhang
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Abstract

In this paper, we will establish a regularity theory for the Kähler-Ricci flow on Fano $n$-manifolds with Ricci curvature bounded in $L^p$-norm for some $p > n$. 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 \cite{TiZh12b}.

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Gang Tian, Zhenlei Zhang. 2013-10-22. Regularity of Kähler-Ricci flows on Fano manifolds. https://arxiv.org/abs/1310.5897

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