Existence of optimal transport maps in very strict CD(K,∞) -spaces
Schultz, T. (2018). Existence of optimal transport maps in very strict CD(K,∞) -spaces. Calculus of Variations and Partial Differential Equations, 57(5), Article 139. https://doi.org/10.1007/s00526-018-1414-y
© Springer-Verlag GmbH Germany, part of Springer Nature 2018.
We introduce a more restrictive version of the strict CD(K,∞) -condition, the so-called very strict CD(K,∞) -condition, and show the existence of optimal maps in very strict CD(K,∞) -spaces despite the possible lack of uniqueness of optimal plans.
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