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Integrability of second-order Lagrangians admitting a first-order Hamiltonian formalism
Citation
Rosado María, María Eugenia and Muñoz Masqué, Jaime (2014). Integrability of second-order Lagrangians admitting a first-order Hamiltonian formalism. "Differential Geometry and its Applications" (n. 35); pp. 164-177. ISSN 0926-2245. https://doi.org/10.1016/j.difgeo.2014.04.006.
Description
| Title: | Integrability of second-order Lagrangians admitting a first-order Hamiltonian formalism |
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| Author/s: |
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| Item Type: | Article |
| Título de Revista/Publicación: | Differential Geometry and its Applications |
| Date: | September 2014 |
| ISSN: | 0926-2245 |
| Subjects: | |
| Faculty: | E.T.S. Arquitectura (UPM) |
| Department: | Matemática Aplicada |
| Creative Commons Licenses: | Recognition - No derivative works - Non commercial |
Abstract
Second-order Lagrangian densities admitting a first-order Hamiltonian formalism are studied; namely, i) necessary and sufficient conditions for the Poincaré–Cartan form of a second-order Lagrangian on an arbitrary fibred manifold p : E → N to be projectable onto J 1 E are explicitly determined; ii) for each of such Lagrangians, a first-order Hamiltonian formalism is developed and a new notion of regularity is introduced; iii) the variational problems of this class defined by regular Lagrangians areprovedtobeinvolutive
Funding Projects
| Type | Code | Acronym | Leader | Title |
|---|---|---|---|---|
| Government of Spain | MTM2011–22528 | Unspecified | Unspecified | Unspecified |
More information
| Item ID: | 40055 |
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| DC Identifier: | http://oa.upm.es/40055/ |
| OAI Identifier: | oai:oa.upm.es:40055 |
| DOI: | 10.1016/j.difgeo.2014.04.006 |
| Official URL: | http://www.sciencedirect.com/science/journal/09262245 |
| Deposited by: | Memoria Investigacion |
| Deposited on: | 03 May 2016 07:08 |
| Last Modified: | 03 Apr 2020 07:19 |
