First variation of the Log Entropy functional along the Ricci flow
Abstract
Description
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.
4 pages. One remark improved
4 pages. One remark improved