39 citations · 79 across the 12 of their papers we have counts for
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math.DG2016★ 20 cited
Sectional and intermediate Ricci curvature lower bounds via Optimal Transport
Christian Ketterer, Andrea Mondino
The goal of the paper is to give an optimal transport characterization of sectional curvature lower (and upper) bounds for smooth -dimensional Riemannian manifolds. More general…
math.DG2016
Lagrangian calculus for nonsymmetric diffusion operators
Christian Ketterer
We characterize lower bounds for the Bakry-Emery Ricci tensor of nonsymmetric diffusion operators by convexity of entropy on the -Wasserstein space, and define a curvature-dim…