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Optimal Transportation and Curvature of Metric Spaces

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Title: Optimal Transportation and Curvature of Metric Spaces
Author(s): Eskin, Thomas
Contributor: University of Helsinki, Faculty of Science, Department of Mathematics and Statistics
Discipline: Mathematics
Language: English
Acceptance year: 2013
In this thesis we study the notion of non-negative Ricci curvature for compact metric measure spaces introduced by Lott and Villani in their article (2009): Ricci curvature for metric measure spaces via optimal transport. We also define and prove the required prerequisites concerning length spaces, convex analysis, measure theory, and optimal transportation.

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