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Titlebook: Natural Operations in Differential Geometry; Ivan Kolář,Jan Slovák,Peter W. Michor Book 1993 Springer-Verlag Berlin Heidelberg 1993 Catego

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Product Preserving Functors,the Weil functors are closely related to arbitrary product preserving functors . → ..In particular, every product preserving bundle functor on . is a Weil functor and the natural transformations between two such functors are in bijection with the homomorphisms of the local algebras in question.
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Prolongation of Vector Fields and Connections, general connections. For the sake of simplicity we also speak on the prolongations of vector fields and connections. We first determine all natural operators transforming vector fields on a manifold . into vector fields on a Weil bundle over .. In the formulation of the result as well as in the pro
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