The natural transformations $TT^{(r)}\to TT^{(r)}$
Archivum mathematicum, Tome 36 (2000) no. 1, pp. 71-75 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

For natural numbers $r\ge 2$ and $n$ a complete classification of natural transformations $A:TT^{(r)}\rightarrow TT^{(r)}$ over $n$-manifolds is given, where $T^{(r)}$ is the linear $r$-tangent bundle functor.
For natural numbers $r\ge 2$ and $n$ a complete classification of natural transformations $A:TT^{(r)}\rightarrow TT^{(r)}$ over $n$-manifolds is given, where $T^{(r)}$ is the linear $r$-tangent bundle functor.
Classification : 53A55, 58A20, 58A32
Keywords: bundle functors; natural transformations
@article{ARM_2000_36_1_a7,
     author = {Mikulski, W{\l}odzimierz M.},
     title = {The natural transformations $TT^{(r)}\to TT^{(r)}$},
     journal = {Archivum mathematicum},
     pages = {71--75},
     year = {2000},
     volume = {36},
     number = {1},
     mrnumber = {1751615},
     zbl = {1049.58009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_2000_36_1_a7/}
}
TY  - JOUR
AU  - Mikulski, Włodzimierz M.
TI  - The natural transformations $TT^{(r)}\to TT^{(r)}$
JO  - Archivum mathematicum
PY  - 2000
SP  - 71
EP  - 75
VL  - 36
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/ARM_2000_36_1_a7/
LA  - en
ID  - ARM_2000_36_1_a7
ER  - 
%0 Journal Article
%A Mikulski, Włodzimierz M.
%T The natural transformations $TT^{(r)}\to TT^{(r)}$
%J Archivum mathematicum
%D 2000
%P 71-75
%V 36
%N 1
%U http://geodesic.mathdoc.fr/item/ARM_2000_36_1_a7/
%G en
%F ARM_2000_36_1_a7
Mikulski, Włodzimierz M. The natural transformations $TT^{(r)}\to TT^{(r)}$. Archivum mathematicum, Tome 36 (2000) no. 1, pp. 71-75. http://geodesic.mathdoc.fr/item/ARM_2000_36_1_a7/

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

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

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