scientific article; zbMATH DE number 5785723

zbMath1210.58029MaRDI QIDQ5748020

K. David Elworthy

Publication date: 14 September 2010

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Malliavin calculusdifferential formsRicci curvaturepath spaceBanach manifoldstochastic analysisdiffeomorphism group\(L^{2}\) Hodge theoryBismut formulaeWeitzenbock curvature

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Diffusion processes and stochastic analysis on manifolds (58J65) Stochastic calculus of variations and the Malliavin calculus (60H07) Hodge theory in global analysis (58A14) Differentiability questions for infinite-dimensional manifolds (58B10) Manifolds of mappings (58D15) Sub-Riemannian geometry (53C17) Measures (Gaussian, cylindrical, etc.) on manifolds of maps (58D20)

Related Items (1)

The vanishing of \(L^2\) harmonic one-forms on based path spaces

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