Relatório de pesquisa 23/08
Martingales on Principal Fiber Bundles, Pedro Catuogno and Simão Stelmastchuk, submitted Oct. 13.
Abstract
Let $P(M,G)$ be a principal fiber bundle, $\omega$ be a
connection form on $P(M,G)$ and $\nabla^{P}$ be a projectable
connection on $P(M,G)$. The aim of this work is determine the
$\nabla^{P}$-martingales in $P(M,G)$. Our results allow to
establish new characterizations of harmonic maps from Riemannian
manifolds to principal fiber bundles.
Mathematics Subject Classifications
(2000): 60G48, 60H30, 53C43
Keywords: martingales; principal fiber bundles; harmonic maps.
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October 13, 2008
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