Abstract
We define the image of a connection with the help of a functor. This image is a connection; we study its properties and also the stability of various Riemannian formulae through this functor.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
H. Airault, Projection of the infinitesimal generator of a diffusion, Journal of Funct. Anal. 85 (1989), 353–391.
B.K. Driver, A Cameron-Martin quasi-invariance theorem for brownian motion on a compact manifold, Journal of Functional Anal. 110 (1992), 603–608.
N. Ikeda and S. Watanabe, Stochastic differential equations and diffusion processes, North-Holland/Kodansha, Volume 24, 1981.
S. Kobayashi and K. Nomizu, Foundations of Differential Geometry, Vol.1, John Wiley and Sons, New York, 1963.
P. Malliavin, Stochastic Analysis, Springer, 1997.
S. Sasaki, On the differential geometry of tangent bundles of Riemannian manifolds, Selected papers Edited by Shun-ichi Tachibana, Kinokuniya Company Ltd., Tokyo, 1985.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2001 Springer Science+Business Media New York
About this chapter
Cite this chapter
Airault, H., Malliavin, P. (2001). Functorial Analysis in Geometric Probability Theory. In: Cruzeiro, A.B., Zambrini, JC. (eds) Stochastic Analysis and Mathematical Physics. Progress in Probability, vol 50. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0127-4_1
Download citation
DOI: https://doi.org/10.1007/978-1-4612-0127-4_1
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-6624-2
Online ISBN: 978-1-4612-0127-4
eBook Packages: Springer Book Archive