Natural transformations of higher order cotangent bundle functors
Annales Polonici Mathematici, Tome 58 (1993) no. 1, pp. 29-35.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/ap-58-1-29-35
Keywords: higher order cotangent bundle, jet, pth power transformation

Jan Kurek 1

1
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Jan Kurek. Natural transformations of higher order cotangent bundle functors. Annales Polonici Mathematici, Tome 58 (1993) no. 1, pp. 29-35. doi : 10.4064/ap-58-1-29-35. http://geodesic.mathdoc.fr/articles/10.4064/ap-58-1-29-35/

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