Functorial prolongation of some functional bundles

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Authors	JANYŠKA Josef KOLÁŘ Ivan CABRAS Antonela
Year of publication	2004
Type	Article in Periodical
Magazine / Source	Annales Academiae Paedagogicae Cracoviensis, Studia Mathematica IV
MU Faculty or unit	Faculty of Science
Citation
Field	General mathematics
Keywords	functional bundle; prolongational functor
Description	We discuss two kinds of functorial prolongations of the functional bundle of all smooth maps between the fibers over the same base point of two fibered manifolds over the same base. We study the prolongation of vector fields in both cases and we prove that the bracket is preserved. Our proof is based on several new results concerning the finite dimensional Weil bundles.
Related projects:	Mathematical structures of algebra and geometry