Symmetries of connections on fibered manifolds

Vondra, Alexandr

Archivum mathematicum, Tome 30 (1994) no. 2, pp. 97-115

Abstract (VO)

The (infinitesimal) symmetries of first and second-order partial differential equations represented by connections on fibered manifolds are studied within the framework of certain “strong horizontal“ structures closely related to the equations in question. The classification and global description of the symmetries is presented by means of some natural compatible structures, eġḃy vertical prolongations of connections.

Détail

Classification : 35A25, 35A30, 53C05, 58A30, 58J70
Keywords: connections; differential equations; integral sections; symmetries

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