Communications in Analysis and Geometry
Volume 12 (2004)
Brownian Motion on a Submanifold
Pages: 165 – 182
Given a submanifold M of a Riemannian manifold N, we give two different constructions of Brownian motion on M: one by "projection" onto M of the Brownian motion on Nand the other by a more intrinsic approach. The two procedures lead to very different ways in which vectors are transported along Brownian paths.