67 citations · 313 across the 39 of their papers we have counts for
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Independence of synthetic Curvature Dimension conditions on transport distance exponent
Afiny Akdemir, Fabio Cavalletti, Andrew Colinet +2
The celebrated Lott-Sturm-Villani theory of metric measure spaces furnishes synthetic notions of a Ricci curvature lower bound joint with an upper bound on the dimension. T…
Inscribed Radius Bounds for Lower Ricci Bounded Metric Measure Spaces with Mean Convex Boundary
Annegret Burtscher, Christian Ketterer, Robert J. McCann +1
Consider an essentially nonbranching metric measure space with the measure contraction property of Ohta and Sturm, or with a Ricci curvature lower bound in the sense of Lott, Sturm…
Pseudo-Riemannian geometry calibrates optimal transportation
Young-Heon Kim, Robert J. McCann, Micah Warren
Given a transportation cost , optimal maps minimize the total cost of moving masses from to . We find a pseudo-metric and a calibration…
Continuity, curvature, and the general covariance of optimal transportation
Young-Heon Kim, Robert J. McCann
Let M and \bar M be n-dimensional manifolds equipped with suitable Borel probability measures ρand \barρ. Ma, Trudinger & Wang gave sufficient conditions on a transportation cost c…