Relationship between stochastic flows and connection forms

2008/02/22 by Neklyudov, M.
#58J65 #Differential Geometry (math.DG) #FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.0802.3255

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.

Related

• Lévy processes on smooth manifolds with a connection
• A stochastic flow arising in the study of local times
• Some stochastic process without birth, linked to the mean curvature flow
• Stochastic flows related to Walsh Brownian motion
• Second-order differential operators, stochastic differential equations and Brownian motions on embedded manifolds