Optimal Maps In Non Branching Spaces With Ricci Curvature Bounded From Below View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2012-08

AUTHORS

Nicola Gigli

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.

PAGES

990-999

References to SciGraph publications

  • 2006-07. On the geometry of metric measure spaces in ACTA MATHEMATICA
  • 2006-07. On the geometry of metric measure spaces. II in ACTA MATHEMATICA
  • 2004-03. Monge-Kantorovitch Measure Transportation and Monge-Ampère Equation on Wiener Space in PROBABILITY THEORY AND RELATED FIELDS
  • 2001-08. Polar factorization of maps on Riemannian manifolds in GEOMETRIC AND FUNCTIONAL ANALYSIS
  • Journal

    TITLE

    Geometric and Functional Analysis

    ISSUE

    4

    VOLUME

    22

    Author Affiliations

    Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s00039-012-0176-5

    DOI

    http://dx.doi.org/10.1007/s00039-012-0176-5

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1045604700


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