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On geodesic vector fields in a compact orientableRiemannian space

✍ Scribed by Kentaro Yano; Tadashi Nagano


Book ID
112783429
Publisher
European Mathematical Society
Year
1961
Tongue
English
Weight
360 KB
Volume
35
Category
Article
ISSN
0010-2571

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A Class of Vector Fields on Path Spaces
✍ T.J. Lyons; Z.M. Qian πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 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