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

Autor
Roman-Roy, N.; Rey, A.; Salgado Seco, Modesto; Vilariño, Silvia
Tipus d'activitat
Article en revista
Revista
Journal of Geometric Mechanics
Data de publicació
2011-03
Volum
3
Número
1
Pàgina inicial
113
Pàgina final
137
DOI
https://doi.org/10.3934/jgm.2011.3.113 Obrir en finestra nova
Repositori
http://hdl.handle.net/2117/13693 Obrir en finestra nova
URL
http://aimsciences.org/journals/pdfs.jsp?paperID=6143&mode=full Obrir en finestra nova
Resum
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 between k-symplectic eld theories and the so-called autonomous k-cosymplectic eld theories, extending in this way the description of the symplectic formalism of autonomous systems as a particular case of the cosymplectic formalism in non-autonomous mechanics. Furthermore, w...
Citació
Roman-Roy, N. [et al.]. On the k-symplectic, k-cosymplectic and multisymplectic formalisms of classical field theories. "Journal of Geometric Mechanics", Març 2011, vol. 3, núm. 1, p. 113-137.
Grup de recerca
GEOMVAP - Geometria de Varietats i Aplicacions

Participants

  • Roman Roy, Narciso  (autor)
  • Rey, Angel M.  (autor)
  • Salgado Seco, Modesto  (autor)
  • Vilariño, Silvia  (autor)