Geodesic
The contact system for $A$-jet manifolds
Archivum mathematicum, Tome 40 (2004) no. 3, pp. 233-248.

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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.
Classification : 58A20, 58A32
Keywords: jet; contact system; Weil algebra; Weil bundle 
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     author = {Alonso-Blanco, R. J. and Mu\~noz-D{\'\i}az, J.},
     title = {The contact system for $A$-jet manifolds},
     journal = {Archivum mathematicum},
     pages = {233--248},
     publisher = {mathdoc},
     volume = {40},
     number = {3},
     year = {2004},
     mrnumber = {2107018},
     zbl = {1112.58002},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_2004__40_3_a2/}
}
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Alonso-Blanco, R. J.; Muñoz-Díaz, J. The contact system for $A$-jet manifolds. Archivum mathematicum, Tome 40 (2004) no. 3, pp. 233-248. http://geodesic.mathdoc.fr/item/ARM_2004__40_3_a2/