Geodesic
Product preserving bundle functors on fibered manifolds
Archivum mathematicum, Tome 32 (1996) no. 4, pp. 307-316 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

The complete description of all product preserving bundle functors on fibered manifolds in terms of natural transformations between product preserving bundle functors on manifolds is given.
The complete description of all product preserving bundle functors on fibered manifolds in terms of natural transformations between product preserving bundle functors on manifolds is given.
Classification : 18F15, 58A05
Keywords: product preserving bundle functors; natural transformations 
@article{ARM_1996_32_4_a5,
     author = {Mikulski, W. M.},
     title = {Product preserving bundle functors on fibered manifolds},
     journal = {Archivum mathematicum},
     pages = {307--316},
     year = {1996},
     volume = {32},
     number = {4},
     mrnumber = {1441401},
     zbl = {0881.58002},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_1996_32_4_a5/}
}
TY  - JOUR
AU  - Mikulski, W. M.
TI  - Product preserving bundle functors on fibered manifolds
JO  - Archivum mathematicum
PY  - 1996
SP  - 307
EP  - 316
VL  - 32
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/ARM_1996_32_4_a5/
LA  - en
ID  - ARM_1996_32_4_a5
ER  - 
%0 Journal Article
%A Mikulski, W. M.
%T Product preserving bundle functors on fibered manifolds
%J Archivum mathematicum
%D 1996
%P 307-316
%V 32
%N 4
%U http://geodesic.mathdoc.fr/item/ARM_1996_32_4_a5/
%G en
%F ARM_1996_32_4_a5
Mikulski, W. M. Product preserving bundle functors on fibered manifolds. Archivum mathematicum, Tome 32 (1996) no. 4, pp. 307-316. http://geodesic.mathdoc.fr/item/ARM_1996_32_4_a5/

[1] D.J. Eck: Product preserving functors on smooth manifolds. J. Pure and Applied Algebra 42(1986), 133-140. | MR | Zbl

[2] G. Kainz, P.W. Michor: Natural transformations in differential geometry. Czechoslovak Math. J. 37(1987), 584-607. | MR

[3] I. Kolář, P. W. Michor, J. Slovák: Natural Operations in Differential Geometry. Springer-Verlag, Berlin 1993. | MR

[4] O.O. Luciano: Categories of multiplicative functors and Weil’s infinitely near points. Nagoya Math. J. 109(1988), 69-89. | MR | Zbl

[5] A. Morimoto: Prolongations of connections to bundles of infinitely near points. J. Diff. Geo. 11(1976), 479-498. | MR

[6] A. Weil: Théorie des points proches sur les varietes differentielles. Strasbourg 1953, 111-117. | MR