Resumen de Martingales on principal fiber bundles

Pedro J. Catuogno, Simão Nicolau Stelmastchuk

• 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.