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The contact system for A -jet manifolds

R. J. Alonso-BlancoJ. Muñoz-Díaz — 2004

Archivum Mathematicum

Jets of a manifold M can be described as ideals of 𝒞 ( 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.

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