Mostra el registre d'ítem simple
Symmetries and conservation laws in the Gunther k-symplectic formalism of field theory
dc.contributor.author | Román Roy, Narciso |
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 | 2007-03-13T17:57:13Z |
dc.date.available | 2007-03-13T17:57:13Z |
dc.date.issued | 2007-03-12 |
dc.identifier.uri | http://hdl.handle.net/2117/673 |
dc.description.abstract | This paper is devoted to studying symmetries of k-symplectic Hamiltonian and Lagrangian first-order classical field theories. In particular, we define symmetries and Cartan symmetries and study the problem of associating conservation laws to these symmetries, stating and proving Noether's theorem in different situations for the Hamiltonian and Lagrangian cases. We also characterize equivalent Lagrangians, which lead to an introduction of Lagrangian gauge symmetries, as well as analyzing their relation with Cartan symmetries. |
dc.format.extent | 29 |
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 | Àrees temàtiques de la UPC::Matemàtiques i estadística |
dc.subject.lcsh | Symplectic geometry |
dc.subject.lcsh | Bayesian field theory |
dc.subject.other | Symmetries |
dc.subject.other | Conservation laws |
dc.subject.other | Noether theorem |
dc.subject.other | Lagrangian and Hamiltonian field theories |
dc.subject.other | k-symplectic manifolds |
dc.title | Symmetries and conservation laws in the Gunther k-symplectic formalism of field theory |
dc.type | Article |
dc.subject.lemac | Varietats simplèctiques |
dc.subject.lemac | Simetria |
dc.contributor.group | Universitat Politècnica de Catalunya. DGDSA - Geometria Diferencial, Sistemes Dinàmics i Aplicacions |
dc.subject.ams | Classificació AMS::70 Mechanics of particles and systems::70S Classical field theories |
dc.subject.ams | Classificació AMS::53 Differential geometry::53D Symplectic geometry, contact geometry |
dc.rights.access | Open Access |
dc.relation.projectidctt | J-01080 |
local.personalitzacitacio | true |
Fitxers d'aquest items
Aquest ítem apareix a les col·leccions següents
-
Articles de revista [3.267]
-
Articles de revista [50]