Relationship between stochastic flows and connection forms
Abstract
In this article I will prove new representation for the Levi-Civita connection in terms of the stochastic flow corresponding to Brownian motion on manifold.
- Publication:
-
arXiv e-prints
- Pub Date:
- February 2008
- DOI:
- 10.48550/arXiv.0802.3255
- arXiv:
- arXiv:0802.3255
- Bibcode:
- 2008arXiv0802.3255N
- Keywords:
-
- Mathematics - Probability;
- Mathematics - Differential Geometry;
- 58J65
- E-Print:
- 6 pages