Multidimensional Euler – Poincaré equations 1

نویسندگان

  • M. Castrillón López
  • P. L. Garcı́a Pérez
چکیده

Given a Lagrangian L : J 1 P → R, with P = M × G → M, invariant under the natural action of G on J 1 P, we deduce the analog of the Euler–Poincaré equations. The geometry of the reduced variational problem as well as its link with the Noether Theorem and an example are also given.

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تاریخ انتشار 2001