First variation of the Log Entropy functional along the Ricci flow

Junfang Li

arxiv: 0712.0832 · v2 · submitted 2007-12-05 · 🧮 math.DG · math.AP

First variation of the Log Entropy functional along the Ricci flow

Junfang Li This is my paper

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keywords alongentropyfirstflowfunctionalmathcalriccivariation

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In this note, we establish the first variation formula of the adjusted log entropy functional $\mathcal Y_a$ introduced by Ye in \cite{Y2}. As a direct consequence, we also obtain the monotonicity of $\mathcal Y_a$ along the Ricci flow.

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First variation of the Log Entropy functional along the Ricci flow

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