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Synthetic theory of Ricci curvature bounds

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Abstract

Synthetic theory of Ricci curvature bounds is reviewed, from the conditions which led to its birth, up to some of its latest developments.

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Authors and Affiliations

  1. Université de Lyon Claude Bernard & French Academy of Sciences and Institut Henri Poincaré, 11 rue Pierre et Marie Curie, F-75231, Paris Cedex 05, France

    Cédric Villani

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  1. Cédric Villani
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Correspondence to Cédric Villani.

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Communicated by: Toshiyuki Kobayashi

This article is based on the 15th Takagi Lectures that the author delivered at Tohoku University on June 27 and 28, 2015.

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Villani, C. Synthetic theory of Ricci curvature bounds. Jpn. J. Math. 11, 219–263 (2016). https://doi.org/10.1007/s11537-016-1531-3

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  • DOI: https://doi.org/10.1007/s11537-016-1531-3

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