A class of vector fields on path spaces

DOI10.1006/jfan.1996.3013zbMath0877.58059OpenAlexW2006786310MaRDI QIDQ1354621

Zhongmin Qian, Terence J. Lyons

Publication date: 8 December 1997

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

Full work available at URL: https://doi.org/10.1006/jfan.1996.3013

zbMATH Keywords

Brownian motionRiemannian manifoldWiener measurepath spaceaffine connectionadjoint skew-symmetric connectionquasi-invariant flow

Mathematics Subject Classification ID

Diffusion processes and stochastic analysis on manifolds (58J65) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60)

Related Items

Complete lifts of connections and stochastic Jacobi fields, Flows associated to Cameron-Martin type vector fields on path spaces over a Riemannian manifold, Differential structure and flow equations on rough path space, Flows associated to adapted vector fields on the Wiener space, Quasi-invariant transformations on the path space over manifolds, Existence and uniqueness of geodesics on path spaces, Smoothness of Itô maps and diffusion processes on path spaces (I), Flows associated to tangent processes on the Wiener space, Geodesic flows on path spaces

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