Connections and curvature in the Riemannian geometry of configuration spaces

DOI10.1006/jfan.2001.3768zbMath1036.58031OpenAlexW1987858737MaRDI QIDQ5952323

Nicolas Privault

Publication date: 4 March 2003

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/4fcdb387ba5aa792567f37648de600ea2807761f

zbMATH Keywords

configuration spacescurvaturecovariant derivativesPoisson spaces

Mathematics Subject Classification ID

Applications of stochastic analysis (to PDEs, etc.) (60H30) Diffusion processes and stochastic analysis on manifolds (58J65) Stochastic calculus of variations and the Malliavin calculus (60H07)

Related Items (11)

Stein approximation for multidimensional Poisson random measures by third cumulant expansions ⋮ Malliavin calculus on the Wiener-Poisson space and its application to canonical SDE with jumps ⋮ \(L^{2}\)-Betti numbers of infinite configuration spaces ⋮ Laplace operators in deRham complexes associated with measures on configuration spaces ⋮ On the differential geometry of some classes of infinite dimensional manifolds ⋮ Curvature bounds for configuration spaces ⋮ Laplace operators on differential forms over configuration spaces ⋮ Laplace transform identities and measure-preserving transformations on the Lie-Wiener-Poisson spaces ⋮ De Rham cohomology of configuration spaces with Poisson measure ⋮ MALLIAVIN CALCULUS AND ANTICIPATIVE ITÔ FORMULAE FOR LÉVY PROCESSES ⋮ Cumulant operators for Lie-Wiener-Itô-Poisson stochastic integrals

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