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Jet manifold associated to a Weil bundle

Ricardo J. Alonso — 2000

Archivum Mathematicum

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

$𝒟$ -modules, contact valued calculus and Poincaré-Cartan form

Ricardo J. Alonso Blanco — 1999

Czechoslovak Mathematical Journal

The only global contact transformations of order two or more are point transformations.

Alonso-Blanco, Ricardo J.; Blázquez-Sanz, David — 2005

Journal of Lie Theory

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