most citedContinuity, curvature, and the general covariance of optimal transportation

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math.AP2007★ 5 cited

On the cost-subdifferentials of cost-convex functions

Young-Heon Kim, Robert J. McCann

We are interested in the cost-convex potentials in optimal mass transport theory, and we show by direct and geometric arguments the equivalence between cost-subdifferentials and or…