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Abstrakty
For any product-preserving bundle functor F denned on the category F2 M of fibered-fibered manifolds, we determine all natural operators transforming projectable-projectable vector fields on Y 6 Ob(F2M) to vector fields on FY. We also determine all natural affinors on FY and prove a composition property analogous to that concerning Weil bundles.
Słowa kluczowe
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Czasopismo
Rocznik
Tom
Strony
697--707
Opis fizyczny
Bibliogr. 8 poz., rys.
Twórcy
autor
- Institute of Mathematics, Jagiellonian University Kraków, ul. Reymonta 4, 30-059 Kraków, Poland
autor
- Department of Physical and Applied Chemistry, Faculty of Chemistry, Technical University Brno, Purkyňova 118, 602 00 Brno, Czech Republic
Bibliografia
- [1] D. J. Eck, Product preserving functors on smooth manifolds, J. Pure Appl. Algebra 42 (1986), 133-140.
- [2] G. Kainz, P. W. Michor, Natural transformations in differential geometry, Czechoslovak Math. J. 37 (1987), 584-607.
- [3] I. Kolář, On the natural operators on vector fields, Ann. Global Anal. Geometry 6 (1988), 109-117.
- [4] I. Kolář, P. W. Michor, J. Slovák, Natural Operations in Differential Geometry, Springer-Verlag (1993.),
- [5] O. O. Luciano, Categories and multiplicative functors and Weil's infinitely near points, Nagoya Math. J. 109 (1988), 69-89.
- [6] W. M. Mikulski, Product preserving bundle functors on fibered manifolds, Arch. Mathem. Brno 32 (1996), 307-316.
- [7] W. M. Mikulski, J. M. Tomáš, Product preserving bundle functors on fibered-fibered manifolds, Colloq. Math. 96 (1) (2003), 17-26.
- [8] J. M. Tomas, Natural operators transforming protectable vector fields to product preserving bundles, Suppl. Rendiconti Circ. Matem. di Palermo, 59 (1999), 181-187.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-PWA3-0011-0006