Differential Harnack Inequalities on Path Space

Robert Haslhofer, Eva Kopfer, Aaron Naber

Recall that if $(M^n,g)$ satisfies $\mathrm{Ric}\ge 0$, then the Li-Yau Differential Harnack Inequality tells us for each nonnegative $f:M\to {\mathbb{R}}^{+}$, with $f_t$ its heat fl…