Now showing items 2-8 of 8

  • k-cosymplectic formalism in classical field theory: the Skinner–Rusk approach 

    Rey, Angel M.; Román Roy, Narciso; Salgado, Modesto (2006-02-14)
    Article
    Open Access
    The k-cosymplectic Lagrangian and Hamiltonian formalisms of first-order field theories are reviewed and completed. In particular they are stated for singular almost-regular systems. After that, both formalisms are unified ...
  • 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 (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 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 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 ...
  • 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 ...
  • 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 ...