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arxiv: 1412.3200 · v1 · pith:E3EOGSVXnew · submitted 2014-12-10 · 🧮 math.DG · math.AP

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

classification 🧮 math.DG math.AP
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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