The contact system for $A$-jet manifolds
Alonso-Blanco, R. J. ; Muñoz-Díaz, J.
Archivum Mathematicum, Tome 040 (2004), p. 233-248 / Harvested from Czech Digital Mathematics Library
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Jets of a manifold $M$ can be described as ideals of $\mathcal {C}^\infty (M)$. This way, all the usual processes on jets can be directly referred to that ring. By using this fact, we give a very simple construction of the contact system on jet spaces. The same way, we also define the contact system for the recently considered $A$-jet spaces, where $A$ is a Weil algebra. We will need to introduce the concept of derived algebra.

Publié le : 2004-01-01
Classification:  58A20,  58A32 
@article{107906,
     author = {R. J. Alonso-Blanco and J. Mu\~noz-D\'\i az},
     title = {The contact system for $A$-jet manifolds},
     journal = {Archivum Mathematicum},
     volume = {040},
     year = {2004},
     pages = {233-248},
     zbl = {1112.58002},
     mrnumber = {2107018},
     language = {en},
     url = {http://dml.mathdoc.fr/item/107906}
}

Alonso-Blanco, R. J.; Muñoz-Díaz, J. The contact system for $A$-jet manifolds. Archivum Mathematicum, Tome 040 (2004) pp. 233-248. http://gdmltest.u-ga.fr/item/107906/

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