Some families of $q$-vector fields on path spaces

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Title: Some families of $q$-vector fields on path spaces
Authors: Elworthy, KD
Li, X-M
Item Type: Journal Article
Abstract: Some families of H-valued vector fields with calculable Lie brackets are given. These provide examples of vector fields on path spaces with a divergence and we show that versions of Bismut type formulae for forms on a compact Riemannian manifold arise as projections of the infinite dimensional theory.
Issue Date: 1-Sep-2003
Date of Acceptance: 1-Aug-2003
URI: http://hdl.handle.net/10044/1/54076
DOI: https://dx.doi.org/10.1142/S0219025703001213
ISSN: 0219-0257
Publisher: World Scientific Publishing
Start Page: 1
End Page: 27
Journal / Book Title: Infinite Dimensional Analysis, Quantum Probability and Related Topics
Volume: 6
Copyright Statement: Electronic version of an article published as Infinite Dimensional Analysis, Quantum Probability and Related Topics, Volume 6, Issue Suppl 1, 2003, Article DOI 10.1142/S0219025703001213 © copyright World Scientific Publishing Company
Keywords: 0102 Applied Mathematics
0104 Statistics
General Mathematics
Notes: mrclass: 58J65 (60H05 60H10) mrnumber: 2074764 mrreviewer: Shi Zan Fang
Publication Status: Published
Appears in Collections:Pure Mathematics
Mathematics
Faculty of Natural Sciences



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