Constraints in Euler-Poincar Reduction of Field Theories
The goal of this short note is to show the geometric structure of the Euler-Poincar reduction procedure in Field Theories with special emphasis on the nature of the set of variations and the set of admissible sections. The method of Lagrange multipliers is also applied for a deeper study of these constraints.
reduction lagrange multipliers euler-poincar equations symmetries variational calculus 58a15 70s05 70s15