GMC Notes, Number 3 (2012)

Cédric M. Campos and David Iglesias

Reduction in Jet Bundle Theory

based on a course by Marco Castrillón

Abstract: These notes follow the course given by M. Castrillón on covariant reduction of Field Theories when the configuration bundle is a principal bundle and the symmetry group is the structure group of the bundle. The preliminary notions needed to understand the geometry behind the construction are also given.