A Class of Vector Fields on Path Spaces
β
T.J. Lyons; Z.M. Qian
π
Article
π
1997
π
Elsevier Science
π
English
β 366 KB
In this paper we show that the vector field X {, h on a based path space W o (M) over a Riemannian manifold M defined by parallel translating a curve h in the initial tangent space T o M via an affine connection { induces a solution flow which preserves the Wiener measure on the based path space W o