Resumen de Lifting vector fields from manifolds to r -jet prolongation of the tangent bundle

Jan Kurek, Wlodzimierz M. Mikulski

• If m≥3 and r≥0, we deduce that any natural linear operator lifting vector fields from an m-manifold M to the r-jet prolongation JʳTM of the tangent bundle TM is the composition of the flow lifting Jʳ corresponding to the r-jet prolongation functor Jʳ with a natural linear operator lifting vector fields from M toTM. If 0≤s≤ and m≥3, we find all natural linear operators transforming vector fields on M into base-preserving fibred maps JʳTM→JˢTM→JˢTM