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Optimal Transport and Curvature

Part of the Lecture Notes in Mathematics book series (LNMCIME,volume 2028)

Abstract

These notes record the six lectures for the CIME Summer Course held by the second author in Cetraro during the week of June 23–28, 2008, with minor modifications. Their goal is to describe some recent developments in the theory of optimal transport, and their applications to differential geometry.

Keywords

  • Riemannian Manifold
  • Sectional Curvature
  • Ricci Curvature
  • Length Space
  • Compact Riemannian Manifold

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Correspondence to Alessio Figalli .

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Figalli, A., Villani, C. (2011). Optimal Transport and Curvature. In: Nonlinear PDE’s and Applications. Lecture Notes in Mathematics(), vol 2028. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21861-3_4

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