Exploració per autor "Vilariño, Silvia"
Ara es mostren els items 1-10 de 10
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Hamilton-Jacobi theory in multisymplectic classical field theories
de León, Manuel; Prieto Martínez, Pedro Daniel; Román Roy, Narciso; Vilariño, Silvia (2015-04-08)
Report de recerca
Accés obertThe 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
Accés obertFor 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)
Comunicació de congrés
Accés restringit per política de l'editorialThe 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
Accés obertThis 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)
Report de recerca
Accés obertThis 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
Accés restringit per política de l'editorialThe 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
Accés obertThe 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
Román Roy, Narciso; Marrero González, Juan Carlos; Salgado Seco, Modesto; Vilariño, Silvia (2013-06-06)
Report de recerca
Accés obertThe 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 ... -
Reduction of polysymplectic manifolds
Marrero, Juan Carlos; Román Roy, Narciso; Salgado Seco, Modesto; Vilariño, Silvia (2015-02-06)
Article
Accés obertThe 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. ... -
Symmetries and conservation laws in the Gunther k-symplectic formalism of field theory
Román Roy, Narciso; Salgado, Modesto; Vilariño, Silvia (2007-03-12)
Article
Accés obertThis 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 ...