Natural transformations of higher order cotangent bundle functors

Volume 58 / 1993

Jan Kurek Annales Polonici Mathematici 58 (1993), 29-35 DOI: 10.4064/ap-58-1-29-35


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.


  • Jan Kurek

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