# Jet manifold associated to a Weil bundle

Archivum Mathematicum (2000)

- Volume: 036, Issue: 3, page 195-199
- ISSN: 0044-8753

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topAlonso, Ricardo J.. "Jet manifold associated to a Weil bundle." Archivum Mathematicum 036.3 (2000): 195-199. <http://eudml.org/doc/248550>.

@article{Alonso2000,

abstract = {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.},

author = {Alonso, Ricardo J.},

journal = {Archivum Mathematicum},

keywords = {jet; Weil bundle; Grassmann manifold; jet; Weil bundle; Grassmann manifold},

language = {eng},

number = {3},

pages = {195-199},

publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},

title = {Jet manifold associated to a Weil bundle},

url = {http://eudml.org/doc/248550},

volume = {036},

year = {2000},

}

TY - JOUR

AU - Alonso, Ricardo J.

TI - Jet manifold associated to a Weil bundle

JO - Archivum Mathematicum

PY - 2000

PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno

VL - 036

IS - 3

SP - 195

EP - 199

AB - 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.

LA - eng

KW - jet; Weil bundle; Grassmann manifold; jet; Weil bundle; Grassmann manifold

UR - http://eudml.org/doc/248550

ER -

## References

top- Kolář I., Affine structure on Weil bundles, To appear in Nagoya Math J. Zbl0961.58002MR1766571
- Kolář I., Michor P. W., Slovák J., Natural operations in differential geometry, Springer-Verlag, New York, 1993. (1993) Zbl0782.53013MR1202431
- 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) Zbl0053.24903MR0061455

## Citations in EuDML Documents

top- R. J. Alonso-Blanco, J. Muñoz-Díaz, The contact system for $A$-jet manifolds
- Jiří M. Tomáš, Natural $T$-functions on the cotangent bundle of a Weil bundle
- Ivan Kolář, Włodzimierz M. Mikulski, Contact elements on fibered manifolds
- Jiří M. Tomáš, The general rigidity result for bundles of $A$-covelocities and $A$-jets

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