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Some geometric calculations on Wasserstein space

Differential Geometry 2007-05-23 v2

Abstract

We compute the Riemannian connection and curvature for the Wasserstein space of a smooth compact Riemannian manifold.

Keywords

Cite

@article{arxiv.math/0612562,
  title  = {Some geometric calculations on Wasserstein space},
  author = {John Lott},
  journal= {arXiv preprint arXiv:math/0612562},
  year   = {2007}
}

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final version