Li–Yau gradient estimates for curvature flows in positively curved manifolds
Li–Yau gradient estimates for curvature flows in positively curved manifolds
We prove differential Harnack inequalities for flows of strictly convex hypersurfaces by powers $p$, $0<p<1$, of the mean curvature in Einstein manifolds with a positive lower bound on the sectional curvature. We assume that this lower bound is sufficiently large compared to the derivatives of the curvature tensor of the …