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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 | 2007-05-31T12:57:05Z |
dc.date.available | 2007-05-31T12:57:05Z |
dc.date.issued | 2007-05-31 |
dc.identifier.uri | http://hdl.handle.net/2117/1054 |
dc.description.abstract | The 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 between k-symplectic field theories and the so-called autonomous k-cosymplectic field theories, extending in this way the description of the symplectic formalism of autonomous systems as a articular 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 field theories (those where the configuration bundle of the theory is trivial). |
dc.language.iso | eng |
dc.rights | Attribution-NonCommercial-NoDerivs 2.5 Spain |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/2.5/es/ |
dc.subject.lcsh | Differential geometry |
dc.subject.lcsh | Field theory (Physics) |
dc.subject.other | k-cosymplectic manifolds |
dc.subject.other | k-symplectic manifolds |
dc.subject.other | multisymplectic manifolds |
dc.subject.other | Lagrangian and Hamiltonian field theories |
dc.title | On the k-symplectic, k-cosymplectic and multisymplectic formalisms of classical field theories |
dc.type | Article |
dc.subject.lemac | Varietats simplèctiques |
dc.subject.lemac | Camps, Teoria dels (Física) |
dc.contributor.group | Universitat Politècnica de Catalunya. DGDSA - Geometria Diferencial, Sistemes Dinàmics i Aplicacions |
dc.subject.ams | Classificació AMS::53 Differential geometry::53D Symplectic geometry, contact geometry |
dc.subject.ams | Classificació AMS::70 Mechanics of particles and systems::70S Classical field theories |
dc.rights.access | Open Access |
dc.relation.projectidctt | J-01080 |
local.personalitzacitacio | true |
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