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On the k-symplectic, k-cosymplectic and multisymplectic formalisms of classical field theories
dc.contributor.author | Román Roy, Narciso |
dc.contributor.author | Rey, Angel M. |
dc.contributor.author | Salgado, Modesto |
dc.contributor.author | Vilariño, Silvia |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada IV |
dc.date.accessioned | 2011-10-27T18:04:04Z |
dc.date.available | 2011-10-27T18:04:04Z |
dc.date.created | 2011-03 |
dc.date.issued | 2011-03 |
dc.identifier.citation | 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. |
dc.identifier.uri | http://hdl.handle.net/2117/13693 |
dc.description.abstract | 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, we clarify some aspects of the geometric character of the solutions to the Hamilton-de Donder-Weyl and the Euler-Lagrange equations in these formalisms. Second, we study the equivalence between k-cosymplectic and a particular kind of multisymplectic Hamiltonian and Lagrangian eld theories (those where the con guration bundle of the theory is trivial). |
dc.format.extent | 25 p. |
dc.language.iso | eng |
dc.publisher | American Institute of Mathematical Sciences |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Spain |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística |
dc.subject.lcsh | Manifolds |
dc.title | On the k-symplectic, k-cosymplectic and multisymplectic formalisms of classical field theories |
dc.type | Article |
dc.subject.lemac | Geometria diferencial |
dc.contributor.group | Universitat Politècnica de Catalunya. DGDSA - Geometria Diferencial, Sistemes Dinàmics i Aplicacions |
dc.identifier.doi | 10.3934/jgm.2011.3.113 |
dc.description.peerreviewed | Peer Reviewed |
dc.relation.publisherversion | http://aimsciences.org/journals/pdfs.jsp?paperID=6143&mode=full |
dc.rights.access | Restricted access - publisher's policy |
local.identifier.drac | 5805903 |
dc.description.version | Postprint (published version) |
local.citation.author | Roman-Roy, N.; Rey, A.; Salgado, M.; Vilariño, S. |
local.citation.publicationName | Journal of Geometric Mechanics |
local.citation.volume | 3 |
local.citation.number | 1 |
local.citation.startingPage | 113 |
local.citation.endingPage | 137 |
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