English

Gunther's formalism (k-symplectic formalism) in classical field theory: Skinner-Rusk approach and the evolution operator

Mathematical Physics 2016-04-11 v1 math.MP

Abstract

The first aim of this paper is to extend the Skinner-Rusk formalism on classical mechanics for first-order field theories. The second is to generalize the definition and properties of the evolution K-operator on classical mechanics for first-order field theories using in both cases Gunther's formalism (k-symplectic formalism).

Keywords

Cite

@article{arxiv.math-ph/0412004,
  title  = {Gunther's formalism (k-symplectic formalism) in classical field theory: Skinner-Rusk approach and the evolution operator},
  author = {Angel M. Rey and Narciso Román-Roy and Modesto Salgado},
  journal= {arXiv preprint arXiv:math-ph/0412004},
  year   = {2016}
}

Comments

LaTeX file, 33 pp