Geodesic
Natural operators lifting vector fields to bundles of Weil contact elements
Czechoslovak Mathematical Journal, Tome 54 (2004) no. 4, pp. 855-867
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Let $A$ be a Weil algebra. The bijection between all natural operators lifting vector fields from $m$-manifolds to the bundle functor $K^A$ of Weil contact elements and the subalgebra of fixed elements $SA$ of the Weil algebra $A$ is determined and the bijection between all natural affinors on $K^A$ and $SA$ is deduced. Furthermore, the rigidity of the functor $K^A$ is proved. Requisite results about the structure of $SA$ are obtained by a purely algebraic approach, namely the existence of nontrivial $SA$ is discussed.
Let $A$ be a Weil algebra. The bijection between all natural operators lifting vector fields from $m$-manifolds to the bundle functor $K^A$ of Weil contact elements and the subalgebra of fixed elements $SA$ of the Weil algebra $A$ is determined and the bijection between all natural affinors on $K^A$ and $SA$ is deduced. Furthermore, the rigidity of the functor $K^A$ is proved. Requisite results about the structure of $SA$ are obtained by a purely algebraic approach, namely the existence of nontrivial $SA$ is discussed.
Classification : 12D05, 53A55, 58A20, 58A32
Keywords: Weil algebra; Weil bundle; contact element; natural operator 
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     title = {Natural operators lifting vector fields to bundles of {Weil} contact elements},
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Kureš, Miroslav; Mikulski, Włodzimierz M. Natural operators lifting vector fields to bundles of Weil contact elements. Czechoslovak Mathematical Journal, Tome 54 (2004) no. 4, pp. 855-867. http://geodesic.mathdoc.fr/item/CMJ_2004_54_4_a2/

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