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Jan. 2000 A stochastic variational condition for the Maxwell connections
Keisuke Hara
Proc. Japan Acad. Ser. A Math. Sci. 76(1): 4-5 (Jan. 2000). DOI: 10.3792/pjaa.76.4

Abstract

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.

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Keisuke Hara. "A stochastic variational condition for the Maxwell connections." Proc. Japan Acad. Ser. A Math. Sci. 76 (1) 4 - 5, Jan. 2000. https://doi.org/10.3792/pjaa.76.4

Information

Published: Jan. 2000
First available in Project Euclid: 23 May 2006

zbMATH: 0960.58018
MathSciNet: MR1752211
Digital Object Identifier: 10.3792/pjaa.76.4

Subjects:
Primary: 58G32
Secondary: 60J60

Keywords: Malliavin calculus , Maxwell connection , Stochastic parallel displacement , Yang-Mills connection

Rights: Copyright © 2000 The Japan Academy

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Vol.76 • No. 1 • Jan. 2000
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