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Heat kernel on Ricci shrinkers (II)
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Heat kernel on Ricci shrinkers (II)
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This paper is the sequel to our study of heat kernels on Ricci shrinkers in \cite{LW20}. In this paper, we improve many estimates in \cite{LW20} and extend the recent progress of Bamler \cite{Bam20a}. In particular, we drop the compactness and curvature boundedness assumptions and show that the theory of $\IF$-convergence holds naturally on any Ricci flows induced by Ricci shrinkers.
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Cited by 1 Pith paper
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A Local Singularity Analysis for the Ricci Flow and its Applications to Ricci Flows with Bounded Scalar Curvature -- Part II
Scalar curvature blows up at Type I rate at Type I singular points of general Ricci flows in all dimensions, implying no Type I singularities exist in bounded-scalar-curvature flows; similar ancient-Type-I behavior ho...
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