• A new multisymplectic unified formalism for second order classical field theories 

      Prieto Martínez, Pedro Daniel; Román Roy, Narciso (American Institute of Mathematical Sciences, 2015-06-01)
      Article
      Accés obert
      We present a new multisymplectic framework for second-order classical field theories which is based on an extension of the unified LagrangianHamiltonian formalism to these kinds of systems. This model provides a straightforward ...
    • On the k-symplectic, k-cosymplectic and multisymplectic formalisms of classical field theories 

      Román Roy, Narciso; Rey, Angel M.; Salgado, Modesto; Vilariño, Silvia (2007-05-31)
      Article
      Accés obert
      The objective of this work is twofold: First, we analyze the relation between the kcosymplectic and the k-symplectic Hamiltonian and Lagrangian formalisms in classical field theories. In particular, we prove the equivalence ...
    • Remarks on multisymplectic reduction 

      Echeverría Enríquez, Arturo; Muñoz Lecanda, Miguel Carlos; Román Roy, Narciso (2018-06-01)
      Article
      Accés obert
      The problem of reduction of multisymplectic manifolds by the action of Lie groups is stated and discussed, as a previous step to give a fully covariant scheme of reduction for classical field theories with symmetries.