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Heat kernel on Ricci shrinkers (II)

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arxiv 2301.08430 v1 pith:M6URBIUQ submitted 2023-01-20 math.DG

Heat kernel on Ricci shrinkers (II)

classification math.DG
keywords ricciciteshrinkersheatlw20assumptionsbam20abamler
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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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