Natural operators lifting projectable-projectable vector fields to product preserving bundle functors on fibered-fibered manifolds

• Autorzy: Mikulski W. M. , Tomáš J. M.
• Języki publikacji: EN

Abstrakty

EN

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

EN

natural operator; vector fields

PL

operatory naturalne; pole wektorowe

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2004
• Tom: Vol. 37, nr 3
• Strony: 697--707
• Opis fizyczny: Bibliogr. 8 poz., rys.

Twórcy

autor

Mikulski W. M.

• Institute of Mathematics, Jagiellonian University Kraków, ul. Reymonta 4, 30-059 Kraków, Poland

autor

Tomáš J. M.

• Department of Physical and Applied Chemistry, Faculty of Chemistry, Technical University Brno, Purkyňova 118, 602 00 Brno, Czech Republic

Bibliografia

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• [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.