We determine all natural functions on $T^*T^{(r)} $ and $T^*T^{r*}$.
@article{107519,
author = {W\l odzimierz M. Mikulski},
title = {Natural functions on $T\sp *T\sp {(r)}$ and $T\sp *T\sp {r\ast}$},
journal = {Archivum Mathematicum},
volume = {031},
year = {1995},
pages = {1-7},
zbl = {0837.53021},
mrnumber = {1342370},
language = {en},
url = {http://dml.mathdoc.fr/item/107519}
}
Mikulski, Włodzimierz M. Natural functions on $T\sp *T\sp {(r)}$ and $T\sp *T\sp {r\ast}$. Archivum Mathematicum, Tome 031 (1995) pp. 1-7. http://gdmltest.u-ga.fr/item/107519/
On cotangent bundles of some natural bundles, Supl. Rendiconti Circolo Math. Palermo, (to appear). (to appear) | MR 1344006
Natural operations in differential geometry, Springer-Verlag, 1993. (1993) | MR 1202431
Some natural operations on vector fields, Rendiconti di Math. Ser VII 12 (1992), 783-803. (1992) | MR 1205977 | Zbl 0766.58005
Some natural constructions on vector fields and higher order cotangent bundles, Mh. Math. 117 (1994), 107-119. (1994) | MR 1266777 | Zbl 0796.58002