Geometry on the Wasserstein Space Over a Compact Riemannian Manifold
@article{Ding2021GeometryOT, title={Geometry on the Wasserstein Space Over a Compact Riemannian Manifold}, author={Hao Ding and Shizan Fang}, journal={Acta Mathematica Scientia}, year={2021}, volume={41}, pages={1959 - 1984} }
We revisit the intrinsic differential geometry of the Wasserstein space over a Riemannian manifold, due to a series of papers by Otto, Otto-Villani, Lott, Ambrosio-Gigli-Savaré, etc.
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