14 citations · 19 across the 2 of their papers we have counts for
2 papers
math.DG2007★ 14 cited
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…
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…