scientific article
zbMATH Open1118.58018MaRDI QIDQ3593443
Publication date: 20 July 2007
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Malliavin calculusstochastic differential equationsGaussian measuresdiffeomorphism groupinfinite dimensionssub-Riemannianuniversal connectionbath spacedifferential forms, Weitzenbock formulaHodge-Kodaira theory
Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Fredholm structures on infinite-dimensional manifolds (58B15) Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Diffusion processes and stochastic analysis on manifolds (58J65) Stochastic calculus of variations and the Malliavin calculus (60H07) Hodge theory in global analysis (58A14) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Connections (general theory) (53C05) Sub-Riemannian geometry (53C17) Measures (Gaussian, cylindrical, etc.) on manifolds of maps (58D20)
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