A nonholonomic Moser theorem and optimal transport

DOI10.4310/JSG.2009.v7.n4.a1zbMath1247.58005arXiv0802.1551OpenAlexW2050883265MaRDI QIDQ2655954

Yanyan Li

Publication date: 27 January 2010

Published in: The Journal of Symplectic Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0802.1551

zbMATH Keywords

Hodge decompositionmass transportsub-LaplacianHamiltonian flowWasserstein spaceaveraged Hamiltoniannonholonomic distributionOtto calculussubriemannianMoser theorem

Mathematics Subject Classification ID

Infinite-dimensional manifolds (58B99) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Sub-Riemannian geometry (53C17) Vector distributions (subbundles of the tangent bundles) (58A30)

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