Geometry on the Wasserstein Space Over a Compact Riemannian Manifold

Affiliation auteurs!!!! Error affiliation !!!!
TitreGeometry on the Wasserstein Space Over a Compact Riemannian Manifold
Type de publicationJournal Article
Year of Publication2021
AuteursDing H, Fang S
JournalACTA MATHEMATICA SCIENTIA
Volume41
Pagination1959-1984
Date PublishedNOV
Type of ArticleArticle
ISSN0252-9602
Mots-clésconstant vector fields, Levi-Civita connection, Mckean-Vlasov equations, measures having divergence, parallel translations
Résumé

We revisit the intrinsic differential geometry of the Wasserstein space over a Riemannian manifold, due to a series of papers by Otto, Otto-Villani, Lott, Ambrosio-Gigli-Savare, etc.

DOI10.1007/s10473-021-0612-4