Geodesic
Prolongation of projectable tangent valued forms
Archivum mathematicum, Tome 38 (2002) no. 4, pp. 243-257.

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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.
Classification : 53C05, 58A20, 58A32
Keywords: projectable tangent valued form; product preserving bundle functor; jet; Weil bundle; Frölicher-Nijenhuis bracket 
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     author = {Cabras, Antonella and Kol\'a\v{r}, Ivan},
     title = {Prolongation of projectable tangent valued forms},
     journal = {Archivum mathematicum},
     pages = {243--257},
     publisher = {mathdoc},
     volume = {38},
     number = {4},
     year = {2002},
     mrnumber = {1942654},
     zbl = {1090.53031},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_2002__38_4_a0/}
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Cabras, Antonella; Kolář, Ivan. Prolongation of projectable tangent valued forms. Archivum mathematicum, Tome 38 (2002) no. 4, pp. 243-257. http://geodesic.mathdoc.fr/item/ARM_2002__38_4_a0/