# 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.

## One Citation

### Ornstein-Uhlenbeck Type Processes on Wasserstein Space

- Mathematics
- 2022

Let P 2 be the space of probability measures on R d having ﬁnite second moment, and consider the Riemannian structure on P 2 induced by the intrinsic derivative on the L 2 -tangent space. By using…

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