Abstract
Let A be a Weil algebra. The bijection between all natural operators lifting vector fields from m-manifolds to the bundle functor KA 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 KA and SA is deduced. Furthermore, the rigidity of the functor KA is proved. Requisite results about the structure of SA are obtained by a purely algebraic approach, namely the existence of nontrivial SA is discussed.
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