On the product preserving bundle functors on k-fibered manifolds

• Autorzy: Mikulski W.
• Języki publikacji: EN

Abstrakty

EN

A complete description of all product preserving bundle functors F on k-fibered manifolds in terms of sequences Gk- Gk-1- ....- G0 of natural transformations of product preserving bundle functors on manifolds is given.

Słowa kluczowe

EN

bundle functors; natural transformations

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2001
• Tom: Vol. 34, nr 3
• Strony: 693--700
• Opis fizyczny: Bibliogr. 6 poz.

Twórcy

autor

Mikulski W.

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

Bibliografia

• [1] A. Cabras, I. Kolář, Prolongation of protectable tangent valued forms, manuscript.
• [2] M. J. Doupovec, I. Kolář, On the jets of fibered manifold morphisms, Cahiers Topologie Géom. Différentielle Catégoriques 40 (1999), 21-30.
• [3] G. Kainz, P. W. Michor, Natural transformations in differential geometry, Czechoslovak Math. J. 37 (1987), 584-607.
• [4] I. Kolář, P. W. Michor, J. Slovák, Natural Operations in Differential Geometry, Springer-Verlag, Berlin 1993.
• [5] W. M. Mikulski, Product preserving bundle functors on fibered manifolds, Arch. Math. (Brno) 32 (1996), 307-316.
• [6] J. Tomáš, Natural operators transforming projectable vector fields to product preserving bundles, Suppl. Rend. Circ. Mat. (Palermo) 59(II)(1999), 181-187.