To access the full text documents, please follow this link: http://hdl.handle.net/2117/3053

Constraint algorithm for k-presymplectic hamiltonian systems: application to singular field theories
Gràcia Sabaté, Francesc Xavier; Martín Grillo, Rubén; Román Roy, Narciso
Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada IV; Universitat Politècnica de Catalunya. DGDSA - Geometria Diferencial, Sistemes Dinàmics i Aplicacions
The k-symplectic formulation of field theories is specially simple, since only tangent and cotangent bundles are needed in its description. Its defining elements show a close relationship with those in the symplectic formulation of mechanics. It will be shown that this relationship also stands in the presymplectic case. In a natural way, one can mimick the presymplectic constraint algorithm to obtain a constraint algorithm that can be applied to k-presymplectic field theory, and more particularly to the Lagrangian and Hamiltonian formulations of field theories defined by a singular Lagrangian, as well as to the unified Lagrangian–Hamiltonian formalism (Skinner–Rusk formalism) for k-presymplectic field theory. Two examples of application of the algorithm are also analyzed.
Àrees temàtiques de la UPC::Matemàtiques i estadística
Partial differential equations
Differential geometry
Fiber spaces (Mathematics)
Lagrangian functions
Field theory (Physics)
k-symplectic and k-presymplectic manifolds
Constraint algorithm
Feld theories
Lagrangian and Hamiltonian formalisms
Equacions diferencials
Geometria diferencial
Feixos fibrats (Matemàtica)
Espais fibrats (Matemàtica)
Lagrange, Funcions de
Camps, Teoria dels (Física)
Classificació AMS::35 Partial differential equations::35Q Equations of mathematical physics and other areas of application
Classificació AMS::53 Differential geometry::53D Symplectic geometry, contact geometry
Classificació AMS::55 Algebraic topology::55R Fiber spaces and bundles
Classificació AMS::70 Mechanics of particles and systems::70H Hamiltonian and Lagrangian mechanics
Classificació AMS::70 Mechanics of particles and systems::70S Classical field theories
Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
Article
World Scientific and Engineering Academy and Society (WSEAS)
         

Show full item record

Related documents

Other documents of the same author

Cariñena, José F.; Gràcia Sabaté, Francesc Xavier; Marmo, Giuseppe; Martínez, Eduardo; Muñoz Lecanda, Miguel Carlos; Román Roy, Narciso
Cariñena, José F.; Gràcia Sabaté, Francesc Xavier; Martínez, Eduardo; Marmo, Giuseppe; Muñoz Lecanda, Miguel Carlos; Román Roy, Narciso
Cariñena, José F.; Gràcia Sabaté, Francesc Xavier; Marmo, Giuseppe; Martínez, Eduardo; Muñoz Lecanda, Miguel Carlos; Román Roy, Narciso
Cariñena Marzo, José Fernando; Gràcia Sabaté, Francesc Xavier; Martínez Fernández, Eduardo; Marmo, Giuseppe; Muñoz Lecanda, Miguel Carlos; Román Roy, Narciso
 

Coordination

 

Supporters