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

Wlodzimierz M. Mikulski

• 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.