Alexandrov meets Lott-Villani-Sturm (Q2883474)
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scientific article; zbMATH DE number 6032507
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Alexandrov meets Lott-Villani-Sturm |
scientific article; zbMATH DE number 6032507 |
Statements
10 May 2012
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Alexandrov space
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metric-measure space
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Wasserstein distance
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harmonic function
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ultrafilter
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optimal transport
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math.MG
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math.DG
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math.OC
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Alexandrov meets Lott-Villani-Sturm (English)
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The author shows the compatibility of two definitions of generalized curvature bounds: the lower bound for sectional curvature in the sense of Alexandrov and the lower bound for Ricci curvature in the sense of Lott-Villani-Sturm, see [\textit{J. Lott} and \textit{C. Villani}, ``Ricci curvature for metric-measure spaces via optimal transport'', Ann. Math. (2) 169, No. 3, 903--991 (2009; Zbl 1178.53038)].
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