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A relative entropy and a unique continuation result for Ricci expanders

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arxiv 2101.02638 v1 pith:WXMORFVR submitted 2021-01-07 math.DG math.AP

classification math.DGmath.AP
keywords relativericcicontinuationentropyproveresultuniquecoming
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We prove an optimal relative integral convergence rate for two expanding gradient Ricci solitons coming out of the same cone. As a consequence, we obtain a unique continuation result at infinity and we prove that a relative entropy for two such self-similar solutions to the Ricci flow is well-defined.

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