A Geometric study of Wasserstein spaces: Euclidean spaces

DOI10.2422/2036-2145.2010.2.03zbMath1218.53079arXiv0804.3505OpenAlexW3102048939MaRDI QIDQ4930043

Benoît R. Kloeckner

Publication date: 27 September 2010

Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0804.3505

zbMATH Keywords

isometry groupoptimal transportationcurvature conditionsintrinsic spacesPolish geodesic metric space

Mathematics Subject Classification ID

Probability measures on topological spaces (60B05) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Spaces of measures, convergence of measures (28A33) Direct methods ((G)-spaces of Busemann, etc.) (53C70) Probabilistic metric spaces (54E70)

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