Complete lifting of double-linear semi-basic tangent valued forms to Weil like functors on double vector bundles

• Wlodzimierz M. Mikulski ^[1]
  1. [1] Faculty of Mathematics and Computer Science UJ, Polonia
• Localización: Revista de la Unión Matemática Argentina, ISSN 0041-6932, ISSN-e 1669-9637, Vol. 62, Nº. 2, 2021, págs. 351-363
• Idioma: inglés
• DOI: 10.33044/revuma.1619
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• Resumen

  • Let F be a product preserving gauge bundle functor on double vector bundles. We introduce the complete lifting Fϕ : FK → ∧pT ∗FM ⊗ T FK of a double-linear semi-basic tangent valued p-form ϕ : K → ∧pT ∗M ⊗ TK on a double vector bundle K with base M. We prove that this complete lifting preserves the Frolicher–Nijenhuis bracket. We apply the results obtained to double-linear connections.