All natural affinors on the $r$-th order cotangent bundle $T^{r*}M$ are determined. Basic affinors of this type are the identity affinor id of $TT^{r*}M$ and the $s$-th power affinors $Q^s_M : TT^{r*}M \rightarrow VT^{r*}M$ with $s=1, \dots , r$ defined by the $s$-th power transformations $A^{r,r}_s$ of $T^{r*}M$. An arbitrary natural affinor is a linear combination of the basic ones.
@article{107448,
author = {Jan Kurek},
title = {Natural affinors on higher order cotangent bundle},
journal = {Archivum Mathematicum},
volume = {028},
year = {1992},
pages = {175-180},
zbl = {0782.58007},
mrnumber = {1222284},
language = {en},
url = {http://dml.mathdoc.fr/item/107448}
}
Kurek, Jan. Natural affinors on higher order cotangent bundle. Archivum Mathematicum, Tome 028 (1992) pp. 175-180. http://gdmltest.u-ga.fr/item/107448/
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