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OPTIMAL MAPS IN NON BRANCHING SPACES WITH RICCI CURVATURE BOUNDED FROM BELOW

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Abstract

We prove existence of optimal maps in non branching spaces with Ricci curvature bounded from below. The approach we adopt makes no use of Kantorovich potentials.

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Authors and Affiliations

  1. Université de Nice, Nice, France

    Nicola Gigli

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  1. Nicola Gigli
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Correspondence to Nicola Gigli.

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Gigli, N. OPTIMAL MAPS IN NON BRANCHING SPACES WITH RICCI CURVATURE BOUNDED FROM BELOW. Geom. Funct. Anal. 22, 990–999 (2012). https://doi.org/10.1007/s00039-012-0176-5

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  • DOI: https://doi.org/10.1007/s00039-012-0176-5

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