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Hamilton differential Harnack inequality and $W$-entropy for Witten Laplacian on Riemannian manifolds. (arXiv:1707.01644v1 [math.DG])
来源于:arXiv
In this paper, we prove the Hamilton differential Harnack inequality for
positive solutions to the heat equation of the Witten Laplacian on complete
Riemannian manifolds with $CD(-K, m)$-condition, $m\in [n, \infty)$ and $K\geq
0$. Moreover, we introduce the $W$-entropy and prove the $W$-entropy formula
for the fundamental solution of the Witten Laplacian on complete Riemannian
manifolds with the $CD(-K, m)$-condition and on compact manifolds equipped with
$(-K, m)$-super Ricci flows. 查看全文>>
