Prolongation of second order connections to vertical Weil bundles
Antonella Cabras, Ivan Kolář (2001)
Archivum Mathematicum
Similarity:
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.