First variation of the Log Entropy functional along the Ricci flow

Details First variation of the Log Entropy functional along the Ricci flow First variation of the Log Entropy functional along the Ricci flow

2007-12-05

arxiv.org/abs/0712.0832v2

Mathematics

Differential Geometry

4 pages. One remark improved

Scientific paper

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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