Geodesic
The natural affinors on $(J^rT^*)^*$
Archivum mathematicum, Tome 36 (2000) no. 4, pp. 261-267 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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For natural numbers $r$ and $n\ge 2$ a complete classification of natural affinors on the natural bundle $(J^rT^*)^*$ dual to $r$-jet prolongation $J^rT^*$ of the cotangent bundle over $n$-manifolds is given.
For natural numbers $r$ and $n\ge 2$ a complete classification of natural affinors on the natural bundle $(J^rT^*)^*$ dual to $r$-jet prolongation $J^rT^*$ of the cotangent bundle over $n$-manifolds is given.
Classification : 53A55, 58A20, 58A32
Keywords: bundle functors; natural transformations; natural affinors 
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Mikulski, Włodzimierz M. The natural affinors on $(J^rT^*)^*$. Archivum mathematicum, Tome 36 (2000) no. 4, pp. 261-267. http://geodesic.mathdoc.fr/item/ARM_2000_36_4_a2/

[1] Doupovec, M.: Natural transformations between $TTT^*M$ and $TT^*TM$. Czechoslovak Math. J. 43 (118) 1993, 599–613. | MR | Zbl

[2] Doupovec, M., Kolář, I.: Natural affinors on time-dependent Weil bundles. Arch. Math. (Brno) 27 (1991), 205–209. | MR

[3] Gancarzewicz, J., Kolář, I.: Natural affinors on the extended $r$-th order tangent bundles. Suppl. Rendiconti Circolo Mat. Palermo, 30 (1993), 95–100. | MR

[4] Kolář I., Michor P. W., Slovák J.: Natural operations in differential geometry. Springer-Verlag, Berlin 1993. | MR

[5] Kolář, I., Modugno, M.: Torsions of connections on some natural bundles. Diff. Geom. and Appl. 2(1992), 1–16. | MR

[6] Kurek, J.: Natural affinors on higher order cotangent bundles. Arch. Math. (Brno) 28 (1992), 175–180. | MR

[7] Mikulski, W. M.: Natural affinors on $r$-jet prolongation of the tangent bundle. Arch. Math. (Brno) 34(2)(1998), 321–328. | MR | Zbl

[8] Mikulski, W. M.: The natural affinors on $\otimes ^k T^{(r)}$. Note di Matematica, to appear.

[9] Zajtz, A.: On the order of natural operators and liftings. Ann. Polon. Math. 49(1988), 169–178. | MR