Publications by the researcher in collaboration with Silvia Vilariño Fernández (16)

2015

  1. Methods of differential geometry in classical field theories: K-symplectic and k-cosymplectic approaches

    World Scientific Publishing Co. Pte. Ltd., pp. 1-207

  2. Reduction of polysymplectic manifolds

    Journal of Physics A: Mathematical and Theoretical, Vol. 48, Núm. 5

  3. Symmetries in Lagrangian Field Theory

    Reports on Mathematical Physics, Vol. 75, Núm. 3, pp. 333-357

2013

  1. Higher-order noether symmetries in κ-symplectic hamiltonian field theory

    International Journal of Geometric Methods in Modern Physics, Vol. 10, Núm. 8

2012

  1. k-Cosymplectic Classical Field Theories: Tulczyjew and Skinner-Rusk Formulations

    Mathematical Physics Analysis and Geometry, Vol. 15, Núm. 2, pp. 85-119

2011

  1. On a kind of Noether symmetries and conservation laws in k-cosymplectic field theory

    Journal of Mathematical Physics, Vol. 52, Núm. 2

  2. On the k-symplectic, k-cosymplectic and multisymplectic formalisms of classical field theories

    Journal of Geometric Mechanics, Vol. 3, Núm. 1, pp. 113-137

  3. SOPDES and nonlinear connections

    Publicationes Mathematicae, Vol. 78, Núm. 2, pp. 297-316

2010

  1. Hamilton-Jacobi theory in k-symplectic field theories

    International Journal of Geometric Methods in Modern Physics, Vol. 7, Núm. 8, pp. 1491-1507

  2. Symmetries, Noether's theorem and reduction in k-cosymplectic field theories

    AIP Conference Proceedings

  3. κ-Symplectic and κ-cosymplectic lagrangian field theories: Some interesting examples and applications

    International Journal of Geometric Methods in Modern Physics, Vol. 7, Núm. 4, pp. 669-692

2009

  1. Lie-algebroid formulation of k-cosymplectic field theories

    AIP Conference Proceedings

2008

  1. Nonholonomic constraints in k-symplectic classical field theories

    International Journal of Geometric Methods in Modern Physics, Vol. 5, Núm. 5, pp. 799-830

  2. Symmetries in k-symplectic field theories

    AIP Conference Proceedings

2007

  1. Symmetries and conservation laws in the Günther k-symplectic formalism of field theory

    Reviews in Mathematical Physics, Vol. 19, Núm. 10, pp. 1117-1147

2005

  1. Nonstandard connections in k -cosympletic field theory

    Journal of Mathematical Physics, Vol. 46, Núm. 12