Martingales on principal fiber bundles

• Catuogno, Pedro J. ^[1] ; Stelmastchuk, Simão Nicolau ^[2]
  1. [1] Universidade Estadual de Campinas

     Universidade Estadual de Campinas

     Brasil

     
  2. [2] Universidade Federal do Paraná

     Universidade Federal do Paraná

     Brasil

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 42, Nº. 4, 2023, págs. 1051-1065
• Idioma: inglés
• DOI: 10.22199/issn.0717-6279-5893
• Enlaces
  • Texto completo
• Resumen

  • 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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