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https://mathoverflow.net/questions/509834/measurability-of-the-geodesic-map-on-the-wasserstein-space riemannian geometry - Measurability of the geodesic map on the Wasserstein space - MathOverflow Let $M$ be a smooth closed Riemannian manifold and $\mathcal{P}$ the space of probability measures on $M$ endowed with the $W_2$-distance, namely: $$... riemannian geometryspace mathoverflowgeodesicmapwasserstein https://mathoverflow.net/questions/tagged/riemannian-geometry Newest 'riemannian-geometry' Questions - MathOverflow riemannian geometryquestions mathoverflownewest https://ncatlab.org/nlab/show/Riemannian+geometry Riemannian geometry in nLab riemannian geometrynlab