Some Geometric Calculations on Wasserstein Space

@inproceedings{Lott2006SomeGC,
  title={Some Geometric Calculations on Wasserstein Space},
  author={J. Lott},
  year={2006}
}
We compute the Riemannian connection and curvature for the Wasserstein space of a smooth compact Riemannian manifold. 

References

Publications referenced by this paper.
Showing 1-10 of 21 references

The geometry of dissipative evolution equations: the porous medium equation

F. Otto
Comm. Partial Differential Equations 26, 101–174 • 2001
View 5 Excerpts
Highly Influenced

Polar factorization of maps on Riemannian manifolds

R. McCann
Geom. Funct. Anal. 11, 589–608 • 2001
View 3 Excerpts
Highly Influenced

Gradient Flows in Metric Spaces and in the Space of Probability Measures

L. Ambrosio, N. Gigli, G. Savarè
Lectures in Mathematics ETH Zürich, Basel: Birkhaüser, • 2005
View 2 Excerpts

Similar Papers

Loading similar papers…