×

Symmetries of connections on fibered manifolds. (English) Zbl 0813.35006

Summary: 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, e.g. by vertical prolongations of connections.

MSC:

35A30 Geometric theory, characteristics, transformations in context of PDEs
53C05 Connections (general theory)
58J70 Invariance and symmetry properties for PDEs on manifolds
35A25 Other special methods applied to PDEs
PDF BibTeX XML Cite
Full Text: EuDML EMIS