Sectional and intermediate Ricci curvature lower bounds via optimal transport

The goal of the paper is to give an optimal transport characterization of sectional curvature lower (and upper) bounds for smooth n-dimensional Riemannian manifolds. More generally we characterize, via optimal transport, lower bounds on the so called p-Ricci curvature which corresponds to taking the...

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Bibliographic Details
Main Authors: Ketterer, C, Mondino, A
Format: Journal article
Language:English
Published: Elsevier 2018