The infinitesimal reduced variation of the stochastic parallel
displacement on the commutative principal bundle is martingale
if and only if the connections satisfy the Maxwell equations.
@article{1148393604,
author = {Hara, Keisuke},
title = {A stochastic variational condition for the Maxwell connections},
journal = {Proc. Japan Acad. Ser. A Math. Sci.},
volume = {76},
number = {10},
year = {2000},
pages = { 4-5},
language = {en},
url = {http://dml.mathdoc.fr/item/1148393604}
}
Hara, Keisuke. A stochastic variational condition for the Maxwell connections. Proc. Japan Acad. Ser. A Math. Sci., Tome 76 (2000) no. 10, pp. 4-5. http://gdmltest.u-ga.fr/item/1148393604/