Routh reduction for first-order Lagrangian field theories

  • Santiago Capriotti
  • Eduardo García-Toraño AndrésEmail author


We present a reduction theory for first-order Lagrangian field theories which takes into account the conservation of momenta. The relation between the solutions of the original problem with a prescribed value of the momentum and the solutions of the reduced problem is established. An illustrative example is discussed in detail.


Lagrangian field theory Reduction Momentum Symmetry 



S. Capriotti thanks the CONICET for financial support. We would like to thank the referees for their valuable suggestions.


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© Springer Nature B.V. 2018

Authors and Affiliations

  1. 1.Departamento de MatemáticaUniversidad Nacional del SurBahía BlancaArgentina
  2. 2.Instituto de Matemática de Bahía Blanca (INMABB)CONICETBahía BlancaArgentina

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