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.
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