Prolongation of second order connections to vertical Weil bundles

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Authors	KOLÁŘ Ivan CABRAS Antonella
Year of publication	2001
Type	Article in Periodical
Magazine / Source	Archivum Mathematicum
MU Faculty or unit	Faculty of Science
Citation
Field	General mathematics
Keywords	Weil bundle; Weil field; second order connection
Description	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 A. Our original tool is a general concept of a B-field for another Weil algebra B and of its A-prolongation.
Related projects:	Differential geometry of higher order Mathematical structures of algebra and geometry