Geometry on the Wasserstein space over a compact Riemannian manifold

Hao Ding, Shizan Fang

Published 2021-04-02Version 1

We will revisit the intrinsic differential geometry of the Wasserstein space over a Riemannian manifold, due to a series of papers by Otto, Villani, Lott, Ambrosio, Gigli, Savar\'e and so on.