Martingales on principal fiber bundles
DOI:
https://doi.org/10.22199/issn.0717-6279-5893Keywords:
martingales, principal fiber bundles, harmonic mapsAbstract
Let P(M,G) be a principal fiber bundle, let ω be a connection form on P(M,G), and consider a projectable connection ∇P on P(M,G).
The aim of this work is to determine the ∇P -martingales in P(M,G). Our results allow establishing new characterizations of harmonic maps from Riemannian manifolds to principal fiber bundles.
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