Papers › Bipolar comparison
Bipolar comparison
Nina Lebedeva, Anton Petrunin, Vladimir Zolotov
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We define a new type of metric comparison similar to the comparison of Alexandrov. We show that it has strong connections to continuity of optimal transport between regular measures on a Riemannian manifold, in particular to the so called MTW condition introduced by Xi-Nan Ma, Neil Trudinger and Xu-Jia Wang.
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