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Keywords:
projectable tangent valued form; product preserving bundle functor; jet; Weil bundle; Frölicher-Nijenhuis bracket
projectable tangent valued form; product preserving bundle functor; jet; Weil bundle; Frölicher-Nijenhuis bracket
Summary:
First we deduce some general properties of product preserving bundle functors on the category of fibered manifolds. Then we study the prolongation of projectable tangent valued forms with respect to these functors and describe the complete lift of the Frölicher-Nijenhuis bracket. We also present the coordinate formula for composition of semiholonomic jets.
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