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Second-order Lagrangians admitting a first-order Hamiltonian formalism
Cita
Rosado María, María Eugenia 
ORCID: https://orcid.org/0000-0002-2930-5612 and Muñoz Masqué, Jaime
(2017).
Second-order Lagrangians admitting a first-order Hamiltonian formalism.
"Annali di Matematica Pura ed Applicata"
;
pp. 1-44.
ISSN 0373-3114.
https://doi.org/10.1007/s10231-017-0683-y.
ORCID: https://orcid.org/0000-0002-2930-5612 and Muñoz Masqué, Jaime
(2017).
Second-order Lagrangians admitting a first-order Hamiltonian formalism.
"Annali di Matematica Pura ed Applicata"
;
pp. 1-44.
ISSN 0373-3114.
https://doi.org/10.1007/s10231-017-0683-y.
Descripción
| Título: | Second-order Lagrangians admitting a first-order Hamiltonian formalism |
|---|---|
| Autor/es: |
|
| Tipo de Documento: | Artículo |
| Título de Revista/Publicación: | Annali di Matematica Pura ed Applicata |
| Fecha: | 2017 |
| ISSN: | 0373-3114 |
| Materias: | |
| ODS: | |
| Palabras Clave Informales: | Hilbert–Einstein Lagrangian ,Hamilton–Cartan formalism ,Jacobi fields, Jet bundles, Poincaré–Cartan form, Presymplectic structure |
| Escuela: | E.T.S. Arquitectura (UPM) |
| Departamento: | Matemática Aplicada |
| Licencias Creative Commons: | Reconocimiento - Sin obra derivada - No comercial |
Resumen
Second-order Lagrangian densities admitting a first-order Hamiltonian formalism are studied; namely, i) for each second-order Lagrangian den- sity on an arbitrary fibred manifold p: E ? N the Poincar¿e-Cartan form of which is projectable onto J1E, by using a new notion of regularity pre- viously introduced, a first-order Hamiltonian formalism is developed for such a class of variational problems; ii) the existence of first-order equiva- lent Lagrangians are discussed from a local point of view as well as global; iii) this formalism is then applied to classical Einstein-Hilbert Lagrangian and a generalization of the BF theory. The results suggest that the class of problems studied is a natural variational setting for GR.
Más información
| ID de Registro: | 48804 |
|---|---|
| Identificador DC: | https://oa.upm.es/48804/ |
| Identificador OAI: | oai:oa.upm.es:48804 |
| URL Portal Científico: | https://portalcientifico.upm.es/es/ipublic/item/2975259 |
| Identificador DOI: | 10.1007/s10231-017-0683-y |
| URL Oficial: | https://link.springer.com/article/10.1007%2Fs10231... |
| Depositado por: | Memoria Investigacion |
| Depositado el: | 20 Dic 2017 08:48 |
| Ultima Modificación: | 12 Nov 2025 00:00 |
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