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Let G be a Lie group and let L:TG?R be a Lagrangian invariant under the natural action of G on its tangent bundle. Then L induces a function l:(TG)/G?g?R called the reduced Lagrangian, g being the Lie algebra of G. As is well known, the Euler-La[...]texto impreso
Castrillón López, Marco ; Muñoz Masqué, Jaime ; Ratiu, T.S. | Institute of Mathematics and Informatics | 2001Let ?:P?M be a principal G-bundle and p:C?M the bundle of connections on ?. In the present paper the authors study variational problems defined by Lagrangians L:J1C?R. The starting point is the classical theorem of Utiyama which characterizes th[...]
