A Gaussian upper bound of the conjugate heat equation along an extended Ricci flow

Kui Wang; Xian-gao Liu

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A Gaussian upper bound of the conjugate heat equation along an extended Ricci flow

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arxiv 1412.3200 v1 pith:E3EOGSVX submitted 2014-12-10 math.DG math.AP

Xian-Gao Liu , Kui Wang This is my paper · ORCID

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keywords flowalongboundconjugateequationextendedheatricci

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In this paper, we derive a Sobolev inequality along an extended Ricci flow and prove a point-wise Guassian type bound for the fundamental solutions of the conjugate heat equation under the flow.

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