Geometry on the Wasserstein Space Over a Compact Riemannian Manifold

  title={Geometry on the Wasserstein Space Over a Compact Riemannian Manifold},
  author={Hao Ding and Shizan Fang},
  journal={Acta Mathematica Scientia},
  pages={1959 - 1984}
  • Hao DingS. Fang
  • Published 2 April 2021
  • Mathematics
  • Acta Mathematica Scientia
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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