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Some Geometric Calculations on Wasserstein Space

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Abstract

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

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Authors and Affiliations

  1. Department of Mathematics, University of Michigan, Ann Arbor, MI, 48109-1109, USA

    John Lott

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  1. John Lott
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Correspondence to John Lott.

Additional information

Communicated by P. Constantin

This research was partially supported by NSF grant DMS-0604829.

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Lott, J. Some Geometric Calculations on Wasserstein Space. Commun. Math. Phys. 277, 423–437 (2008). https://doi.org/10.1007/s00220-007-0367-3

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  • DOI: https://doi.org/10.1007/s00220-007-0367-3

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