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20042007
most citedCounterexamples to continuity of optimal transportation on positively curved Riemannian manifolds

15 citations · 34 across the 5 of their papers we have counts for

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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.DG2007★ 15 cited

Counterexamples to continuity of optimal transportation on positively curved Riemannian manifolds

Young-Heon Kim

Counterexamples to continuity of optimal transportation on Riemannian manifolds with everywhere positive sectional curvature are provided. These examples show that the condition A3…