Journal of Nonlinear Mathematical Physics

Volume 5, Issue 1, February 1998, Pages 23 - 40

Stochastic Cohomology of the Frame Bundle of the Loop Space

Authors
R. Léandre
Corresponding Author
R. Léandre
Received 10 January 1997, Accepted 1 September 1997, Available Online 1 February 1998.
DOI
https://doi.org/10.2991/jnmp.1998.5.1.4How to use a DOI?
Abstract
We study the differential forms over the frame bundle of the based loop space. They are stochastics in the sense that we put over this frame bundle a probability measure. In order to understand the curvatures phenomena which appear when we look at the Lie bracket of two horizontal vector fields, we impose some regularity assumptions over the kernels of the differential forms. This allows us to define an exterior stochastic differential derivative over these forms.
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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
5 - 1
Pages
23 - 40
Publication Date
1998/02
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
https://doi.org/10.2991/jnmp.1998.5.1.4How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - JOUR
AU  - R. Léandre
PY  - 1998
DA  - 1998/02
TI  - Stochastic Cohomology of the Frame Bundle of the Loop Space
JO  - Journal of Nonlinear Mathematical Physics
SP  - 23
EP  - 40
VL  - 5
IS  - 1
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.1998.5.1.4
DO  - https://doi.org/10.2991/jnmp.1998.5.1.4
ID  - Léandre1998
ER  -