Natural transformations of higher order cotangent bundle functors

• Autorzy: Jan Kurek
• Języki publikacji: EN

Abstrakty

EN

We determine all natural transformations of the rth order cotangent bundle functor $T^{r*}$ into $T^{s*}$ in the following cases: r = s, r < s, r > s. We deduce that all natural transformations of $T^{r*}$ into itself form an r-parameter family linearly generated by the pth power transformations with p =1,...,r.

Słowa kluczowe

EN

higher order cotangent bundle   jet   pth power transformation  

Kategorie tematyczne

• 58A20: Jets

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1993
• Tom: 58
• Numer: 1
• Strony: 29-35

Daty

wydano

1993

otrzymano

1991-05-20

poprawiono

1992-02-10

poprawiono

1992-06-29

Twórcy

autor

Jan Kurek

• Institute of Mathematics, Maria Curie-Skłodowska University, pl. M. Curie-Skłodowskiej 1, 20-031 Lublin, Poland

Bibliografia

• [1] J. Gancarzewicz, Differential Geometry, PWN, Warszawa 1987 (in Polish).
• [2] I. Kolář, Some natural operators in differential geometry, in: Proc. Conf. Diff. Geom. and its Applications, Brno 1986, Kluwer, Dordrecht 1987, 91-110.
• [3] I. Kolář and G. Vosmanska, Natural transformations of higher order tangent bundles and jet spaces, Časopis Pěst. Mat. 114 (2) (1989), 181-186.
• [4] I. Kolář, P. Michor and J. Slovak, Natural Operations in Differential Geometry, to appear.
• [5] J. Kurek, On natural operators on sectorform fields, Časopis Pěst. Mat. 115 (3) (1990), 232-239.