Showing math.DGShow all
2 papers · 1 filter
math.DG2025
Coarse Ricci curvature of weighted Riemannian manifolds
Marc Arnaudon, Xue-Mei Li, Benedikt Petko
We show that the generalized Ricci tensor of a weighted complete Riemannian manifold can be retrieved asymptotically from a scaled metric derivative of Wasserstein 1-distances betw…
math.DG2025
Coarse extrinsic curvature of Riemannian submanifolds
Marc Arnaudon, Xue-Mei Li, Benedikt Petko
We introduce a novel concept of coarse extrinsic curvature for Riemannian submanifolds, inspired by Ollivier's notion of coarse Ricci curvature. This curvature is derived from the…