SPACE OF RICCI FLOWS (II)-PART B: WEAK COMPACTNESS OF THE FLOWS
JOURNAL OF DIFFERENTIAL GEOMETRY(2020)
Abstract
Based on the compactness of the moduli of non-collapsed Calabi-Yau spaces with mild singularities, we set up a structure theory for polarized Kahler Ricci flows with proper geometric bounds. Our theory is a generalization of the structure theory of non-collapsed Kahler Einstein manifolds. As applications, we show the convergence of the Kahler Ricci flow in an appropriate topology and prove the partial-C-0-conjecture.
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Key words
Ricci Flow,Moduli Theory,Calabi-Yau Manifolds
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