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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https://doi.org/10.1007/978-3-662-02950-3Category over Manifolds; Jet; Natural Bundle; Natural Operator; differential geometry; manifold; mathemati

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ry. This is a field which every differential geometer has met several times, but which is not treated in detail in one place. Let us explain a little, what we mean by naturality. Exterior derivative commutes with the pullback of differential forms. In the background of this statement are the followi

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Book 1993s a field which every differential geometer has met several times, but which is not treated in detail in one place. Let us explain a little, what we mean by naturality. Exterior derivative commutes with the pullback of differential forms. In the background of this statement are the following general

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Book 1993rphism over f to each local diffeomorphism f between manifolds of the same dimension. This is a simple example of the concept of a natural bundle. The fact that exterior derivative d transforms sections of A kT* M into sections of A k+1T* M for every manifold M can be expressed by saying that d is an operator from A kT* M into A k+1T* M.

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addition