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arXiv:0712.0832 [math.DG]AbstractReferencesReviewsResources

First variation of the Log Entropy functional along the Ricci flow

Junfang Li

Published 2007-12-05, updated 2007-12-07Version 2

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.

Comments: 4 pages. One remark improved
Categories: math.DG, math.AP
Subjects: 53C20, 53C21
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