1 citations · 1 across the 2 of their papers we have counts for
2 papers
math.DG2024★ 1 cited
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…
math.DG2023
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…