JANYŠKA, Josef, Ivan KOLÁŘ a Antonela CABRAS. Functorial prolongation of some functional bundles. Annales Academiae Paedagogicae Cracoviensis, Studia Mathematica IV. Krakov: Pedagogická akademie, 2004, roč. 2004, č. 1, s. 17-30. ISSN 1643-6555. |
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@article{571006, author = {Janyška, Josef and Kolář, Ivan and Cabras, Antonela}, article_location = {Krakov}, article_number = {1}, keywords = {functional bundle; prolongational functor}, language = {eng}, issn = {1643-6555}, journal = {Annales Academiae Paedagogicae Cracoviensis, Studia Mathematica IV}, title = {Functorial prolongation of some functional bundles}, volume = {2004}, year = {2004} }
TY - JOUR ID - 571006 AU - Janyška, Josef - Kolář, Ivan - Cabras, Antonela PY - 2004 TI - Functorial prolongation of some functional bundles JF - Annales Academiae Paedagogicae Cracoviensis, Studia Mathematica IV VL - 2004 IS - 1 SP - 17-30 EP - 17-30 PB - Pedagogická akademie SN - 16436555 KW - functional bundle KW - prolongational functor N2 - 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. ER -
JANYŠKA, Josef, Ivan KOLÁŘ a Antonela CABRAS. Functorial prolongation of some functional bundles. \textit{Annales Academiae Paedagogicae Cracoviensis, Studia Mathematica IV}. Krakov: Pedagogická akademie, 2004, roč.~2004, č.~1, s.~17-30. ISSN~1643-6555.
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