New operators on jet spaces
L. Mangiarotti, Marco Modugno (1983)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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L. Mangiarotti, Marco Modugno (1983)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Marco Modugno (1989)
Časopis pro pěstování matematiky
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Marco Modugno, Rodolfo Ragionieri, Gianna Stefani (1981)
Annales de l'I.H.P. Physique théorique
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Antonella Cabras, Ivan Kolář (2001)
Archivum Mathematicum
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We study systematically the prolongation of second order connections in the sense of C. Ehresmann from a fibered manifold into its vertical bundle determined by a Weil algebra . In certain situations we deduce new properties of the prolongation of first order connections. Our original tool is a general concept of a -field for another Weil algebra and of its -prolongation.