Geodesic
On the natural transformations of Weil bundles
Archivum mathematicum, Tome 49 (2013) no. 5, pp. 303-308
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

First we deduce some general results on the covariant form of the natural transformations of Weil functors. Then we discuss several geometric properties of these transformations, special attention being paid to vector bundles and principal bundles.
First we deduce some general results on the covariant form of the natural transformations of Weil functors. Then we discuss several geometric properties of these transformations, special attention being paid to vector bundles and principal bundles.
DOI : 10.5817/AM2013-5-303
Classification : 58A20, 58A32
Keywords: Weil functor; natural transformation of Weil bundles 
@article{10_5817_AM2013_5_303,
     author = {Kol\'a\v{r}, Ivan},
     title = {On the natural transformations of {Weil} bundles},
     journal = {Archivum mathematicum},
     pages = {303--308},
     year = {2013},
     volume = {49},
     number = {5},
     doi = {10.5817/AM2013-5-303},
     mrnumber = {3159329},
     zbl = {06383792},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.5817/AM2013-5-303/}
}
TY  - JOUR
AU  - Kolář, Ivan
TI  - On the natural transformations of Weil bundles
JO  - Archivum mathematicum
PY  - 2013
SP  - 303
EP  - 308
VL  - 49
IS  - 5
UR  - http://geodesic.mathdoc.fr/articles/10.5817/AM2013-5-303/
DO  - 10.5817/AM2013-5-303
LA  - en
ID  - 10_5817_AM2013_5_303
ER  - 
%0 Journal Article
%A Kolář, Ivan
%T On the natural transformations of Weil bundles
%J Archivum mathematicum
%D 2013
%P 303-308
%V 49
%N 5
%U http://geodesic.mathdoc.fr/articles/10.5817/AM2013-5-303/
%R 10.5817/AM2013-5-303
%G en
%F 10_5817_AM2013_5_303
Kolář, Ivan. On the natural transformations of Weil bundles. Archivum mathematicum, Tome 49 (2013) no. 5, pp. 303-308. doi: 10.5817/AM2013-5-303

[1] Ehresmann, C.: Oeuvres complètes et commentés, Parties I–1 et I–2. Cahiers Topol. Géom. Diff. XXIV (Suppl. 1 et 2) (1983).

[2] Kolář, I.: Affine structures on Weil bundles. Nagoya Math. J. 158 (2000), 99–106.

[3] Kolář, I.: Handbook of Global Analysis. ch. Weil Bundles as Generalized Jet Spaces, pp. 625–664, Elsevier, Amsterdam, 2008. | MR

[4] Kolář, I.: On the functorial prolongations of fiber bundles. Proceedings of AGMP 8, 2012.

[5] Kolář, I., Michor, P. W., Slovák, J.: Natural Operations in Differential Geometry. Springer Verlag, 1993.

[6] Weil, A.: Théorie des points proches sur les variétées différentiables. Colloques internat. Centre nat. Rech. Sci. 52 (1953), 111–117.

Cité par Sources :