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arXiv · 0712.0832

First variation of the Log Entropy functional along the Ricci flow

Junfang Li
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Abstract

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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Junfang Li. 2007-12-07. First variation of the Log Entropy functional along the Ricci flow. https://arxiv.org/abs/0712.0832

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