We define the speed of the curved Brownian bridge as a white noise distribution operating on stochastic Chen integrals.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc73-0-22, author = {R\'emi L\'eandre}, title = {Speed of the Brownian loop on a manifold}, journal = {Banach Center Publications}, volume = {72}, year = {2006}, pages = {299-307}, zbl = {1109.58036}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc73-0-22} }
Rémi Léandre. Speed of the Brownian loop on a manifold. Banach Center Publications, Tome 72 (2006) pp. 299-307. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc73-0-22/