Jet manifold associated to a Weil bundle
Alonso, Ricardo J.
Archivum Mathematicum, Tome 036 (2000), p. 195-199 / Harvested from Czech Digital Mathematics Library
Access to full text
Full (PDF)

Given a Weil algebra $A$ and a smooth manifold $M$, we prove that the set $J^AM$ of kernels of regular $A$-points of $M$, $\check{M}^A$, has a differentiable manifold structure and $\check{M}^A\longrightarrow J^AM$ is a principal fiber bundle.

Publié le : 2000-01-01
Classification:  58A20,  58A32 
@article{107731,
     author = {Ricardo J. Alonso},
     title = {Jet manifold associated to a Weil bundle},
     journal = {Archivum Mathematicum},
     volume = {036},
     year = {2000},
     pages = {195-199},
     zbl = {1049.58007},
     mrnumber = {1785036},
     language = {en},
     url = {http://dml.mathdoc.fr/item/107731}
}

Alonso, Ricardo J. Jet manifold associated to a Weil bundle. Archivum Mathematicum, Tome 036 (2000) pp. 195-199. http://gdmltest.u-ga.fr/item/107731/

Kolář I. Affine structure on Weil bundles, To appear in Nagoya Math J. | MR 1766571 | Zbl 0961.58002

Kolář I.; Michor P. W.; Slovák J. Natural operations in differential geometry, Springer-Verlag, New York, 1993. (1993) | MR 1202431 | Zbl 0782.53013

Muñoz; J; Muriel F. J.; And Rodríguez J. Weil bundles and jet spaces, To appear in Czech. Math. J.

Weil A. Théorie des points proches sur les variétés différentiables, Colloque de Géometrie Différentielle, C.N.R.S. (1953), 111–117. (1953) | MR 0061455 | Zbl 0053.24903