Geodesic
Liftings of linear vector fields to product preserving gauge bundle functors on vector bundles
Lobachevskii journal of mathematics, Tome 12 (2003), pp. 51-61.

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All natural operators lifting linear vector fields to product preserving gauge bundle functors on vector bundles are classified. Some relevant properties of Weil modules are studied, too.
Keywords: Lifting, product preserving functor, vector bundle
Mots-clés : Weil module. 
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M. Kureš; W. M. Mikulski. Liftings of linear vector fields to product preserving gauge bundle functors on vector bundles. Lobachevskii journal of mathematics, Tome 12 (2003), pp. 51-61. http://geodesic.mathdoc.fr/item/LJM_2003_12_a3/

[1] Kolář, I., “On the natural operators on vector fields”, Ann. Global Anal. Geom., 6:2 (1988), 109–117 | DOI | MR | Zbl

[2] Kolář, I., Michor, P. W. and Slovák, J., Natural Operations in DiRerential Geometry, Springer Verlag, 1993 | MR

[3] Mikulski, W. M., “Product preserving gauge bundle functors on vector bundles”, Colloq. Math., 90 (2001), 277–285 | DOI | MR | Zbl

[4] Shurygin, V. V., “The strucuture of smooth mappings over Weil algebras and the category of manifolds over algebras”, Lobachevskii Journal of Math., 5 (1999), 29–55 | MR | Zbl

[5] Shurygin, V. V., Smolyakova, L. B., “An analog of the Vaisman-Molino cohomology for manifolds modelled on some types of modules over Weil algebras and its application”, Lobachevskii Journal of Math., 9 (2001), 55–75 | MR | Zbl

[6] Tomáš, J., “Natural operators transforming projectable vector fields to product preserving bundles”, Supplem. ai Rendic. del Circ. Matem. di Palermo, 59 (1999), 181–187 | MR | Zbl