De Lellis–Topping type inequalities for $f$-Laplacians
Volume 232 / 2016
Studia Mathematica 232 (2016), 189-199
MSC: Primary 53C21; Secondary 53C24.
DOI: 10.4064/sm8236-4-2016
Published online: 25 April 2016
Abstract
We establish an integral geometric inequality on a closed Riemannian manifold with $\infty $-Bakry–Émery Ricci curvature bounded from below. We also obtain similar inequalities for Riemannian manifolds with totally geodesic boundary. In particular, our results generalize those of Wu (2014) for the $\infty $-Bakry–Émery Ricci curvature.
