Martingales on Principal Fiber Bundles

2022/06/20 by Pedro Catuogno, Catuogno, Pedro, Simão N. Stelmastchuk +1 · 1 citation
Mathematics · Physics and Astronomy · #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Advanced Differential Geometry Research

paper · pdf · doi:10.48550/arxiv.2206.09996

Abstract

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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• Harmonic maps into principal bundles and generalized magnetic maps

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