Classical field theory on Lie algebroids: Variational aspects

Details Classical field theory on Lie algebroids: Variational aspects Classical field theory on Lie algebroids: Variational aspects

2004-10-26

arxiv.org/abs/math/0410551v2

J.Phys.A38:7145-7160,2005

Mathematics

Differential Geometry

Talk deliverd at the 9th International Conference on Differential Geometry and its Applications, Prague, September 2004. Refer

Scientific paper

10.1088/0305-4470/38/32/005

The variational formalism for classical field theories is extended to the setting of Lie algebroids. Given a Lagrangian function we study the problem of finding critical points of the action functional when we restrict the fields to be morphisms of Lie algebroids. In addition to the standard case, our formalism includes as particular examples the case of systems with symmetry (covariant Euler-Poincare and Lagrange Poincare cases), Sigma models or Chern-Simons theories.

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