Surveys in Differential Geometry

Volume 11 (2006)

Optimal Transport and Ricci Curvature for Metric- Measure Spaces

Pages: 229 – 258

DOI: http://dx.doi.org/10.4310/SDG.2006.v11.n1.a8

Author

John Lott (Department of Mathematics, University of Michigan, Ann Arbor, MI 48109-1109, U.S.A.)

Abstract

We survey work of Lott-Villani and Sturm on lower Ricci curvature bounds for metric-measure spaces.

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