8 citations · 45 across the 21 of their papers we have counts for
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math.AP2009★ 5 cited
New examples on spaces of negative sectional curvature satisfying Ma-Trudinger-Wang conditions
Paul W. Y. Lee, Jiayong Li
In this paper, we study the Ma-Trudinger-Wang (MTW) conditions for cost functions which are of the form , where is a Riemannian distance function with constant…
math.AP2009★ 1 cited
New Computable Necessary Conditions for the Regularity Theory of Optimal Transportation
Paul W. Y. Lee
We give new computable necessary conditions for a class of optimal transportation problems to have smooth solutions.
math.AP2009★ 3 cited
The Ma-Trudinger-Wang curvature for natural mechanical actions
Paul W. Y. Lee, Robert J. McCann
The Ma-Trudinger-Wang curvature --- or cross-curvature --- is an object arising in the regularity theory of optimal transportation. If the transportation cost is derived from a Ham…