The Lie bracket of adapted vector fields on Wiener spaces

DOI10.1007/s002459900103zbMath0924.60032OpenAlexW2092380114MaRDI QIDQ1283973

Bruce K. Driver

Publication date: 7 November 1999

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002459900103

zbMATH Keywords

integration by partsLie bracketWiener spacetangent processItô mapadapted vector field

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Stochastic calculus of variations and the Malliavin calculus (60H07) Manifolds of mappings (58D15)

Related Items (12)

Tangent processes on Wiener space ⋮ A class of vector fields on path spaces ⋮ Stochastic anticipative calculus on the path space over a compact Riemannian manifold ⋮ Integration by parts for heat kernel measures revisited ⋮ Flows associated to Cameron-Martin type vector fields on path spaces over a Riemannian manifold ⋮ Integration by parts and quasi-invariance for the horizontal Wiener measure on foliated compact manifolds ⋮ The vanishing of \(L^2\) harmonic one-forms on based path spaces ⋮ Flows associated to adapted vector fields on the Wiener space ⋮ An \(L^{2}\) theory for differential forms on path spaces. I ⋮ Markovian connection, curvature and Weitzenböck formula on Riemannian path spaces ⋮ Weak Levi-Civita connection for the damped metric on the Riemannian path space and vanishing of Ricci tensor in adapted differential geometry ⋮ Finite dimensional approximations to Wiener measure and path integral formulas on manifolds

This page was built for publication: The Lie bracket of adapted vector fields on Wiener spaces