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arXiv:2007.02665 [math.AP]AbstractReferencesReviewsResources

Weak formulation of the MTW condition and convexity properties of potentials

G. Loeper, N. S. Trudinger

Published 2020-07-06Version 1

We simplify the geometric interpretation of the weak Ma-Trudinger-Wang condition for regularity in optimal transportation and provide a geometric proof of the global c-convexity of locally $c$-convex potentials when the cost function $c$ is only assumed twice differentiable.

Categories: math.AP
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