Now showing items 1-10 of 10

    • Hamilton-Jacobi theory in multisymplectic classical field theories 

      de León, Manuel; Prieto Martínez, Pedro Daniel; Román Roy, Narciso; Vilariño, Silvia (2015-04-08)
      External research report
      Open Access
      The geometric framework for the Hamilton-Jacobi theory developed in [14, 17, 39] is extended for multisymplectic first-order classical field theories. The Hamilton-Jacobi problema is stated for the Lagrangian and the ...
    • Higher-order Cartan symmetries in k-symplectic field theory 

      Román Roy, Narciso; Salgado, Modesto; Vilariño, Silvia (2008-04-30)
      Article
      Open Access
      For k-symplectic Hamiltonian field theories, we study infinitesimal transformations generated by certain kinds of vector fields which are not Noether symmetries, but which allow us to obtain conservation laws by means ...
    • Lie-algebroid formulation of k-cosymplectic classical field theories 

      Román Roy, Narciso; Salgado, Modesto; Vilariño, Silvia (2009)
      Conference lecture
      Restricted access - publisher's policy
      The k-cosymplectic formalism is the generalization to field theories of the cosymplectic formalism, which is the geometric framework for describing non-autonomous dynamical systems. In [5], A. Weinstein introduced a new ...
    • On a kind of Noether symmetries and conservation laws in k-cosymplectic field theory 

      Marrero González, Juan Carlos; Román Roy, Narciso; Salgado, Modesto; Vilariño, Silvia (2010-09-15)
      External research report
      Open Access
      This paper is devoted to studying symmetries of certain kinds of k-cosymplectic Hamiltonian systems in first-order classical field theories. Thus, we introduce a particular class of symmetries and study the problem of ...
    • On a kind of Noether symmetries and conservation laws in k-cosymplectic field theory 

      Marrero González, Juan Carlos; Román Roy, Narciso; Salgado, Modesto; Vilariño, Silvia (2011-02)
      Article
      Open Access
      This paper is devoted to studying symmetries of certain kinds of k-cosymplectic Hamiltonian systems in first-order classical field theories. Thus, we introduce a particular class of symmetries and study the problem of ...
    • On the k-symplectic, k-cosymplectic and multisymplectic formalisms of classical field theories 

      Román Roy, Narciso; Rey, Angel M.; Salgado, Modesto; Vilariño, Silvia (American Institute of Mathematical Sciences, 2011-03)
      Article
      Restricted access - publisher's policy
      The objective of this work is twofold: First, we analyze the relation between the k-cosymplectic and the k-symplectic Hamiltonian and Lagrangian formalisms in classical eld theories. In particular, we prove the equivalence ...
    • 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
      Open Access
      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 ...
    • Reduction of polysymplectic manifolds 

      Marrero, Juan Carlos; Román Roy, Narciso; Salgado Seco, Modesto; Vilariño, Silvia (2015-02-06)
      Article
      Open Access
      The aim of this paper is to generalize the classical Marsden-Weinstein reduction procedure for symplectic manifolds to polysymplectic manifolds in order to obtain quotient manifolds which inherit the polysymplectic structure. ...
    • Reduction of polysymplectic manifolds 

      Román Roy, Narciso; Marrero González, Juan Carlos; Salgado Seco, Modesto; Vilariño, Silvia (2013-06-06)
      External research report
      Open Access
      The aim of this paper is to generalize the classical Marsden- Weinstein reduction procedure for symplectic manifolds to polysymplectic manifolds in or der to obtain quotient manifolds which in- herit the polysymplectic ...
    • Symmetries and conservation laws in the Gunther k-symplectic formalism of field theory 

      Román Roy, Narciso; Salgado, Modesto; Vilariño, Silvia (2007-03-12)
      Article
      Open Access
      This paper is devoted to studying symmetries of k-symplectic Hamiltonian and Lagrangian first-order classical field theories. In particular, we define symmetries and Cartan symmetries and study the problem of ...