Geodesic
On lifting of 2-vector fields to \(r\)-jet prolongation of the tangent bundle
Annales Universitatis Mariae Curie-Skłodowska. Mathematica , Tome 75 (2021) no. 1, pp. 61-67.

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If m ≥ 3 and r ≥ 1, we prove that any natural linear operator A lifting 2-vector fields Λ∈Γ (⋀^2 TM) (i.e., skew-symmetric tensor fields of type (2,0)) on m-dimensional manifolds M into 2-vector fields A(Λ) on r-jet prolongation J^rTM of the tangent bundle TM of M is the zero one.
Keywords: Natural operator, 2-vector field, r-jet prolongation 
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Kurek, Jan; Mikulski, Włodzimierz. On lifting of 2-vector fields to \(r\)-jet prolongation of the tangent bundle. Annales Universitatis Mariae Curie-Skłodowska. Mathematica , Tome 75 (2021) no. 1, pp. 61-67. http://geodesic.mathdoc.fr/item/AUM_2021_75_1_a4/

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