A geometrical analysis of the field equations in field theory
We give a geometric formulation of the field equations in the Lagrangian and Hamiltonian formalisms of classical field theories (of first order) in terms of multivector fields. This formulation enables us to discuss the existence and nonuniqueness of solutions of these equations, as well as their in...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2002-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171202013212 |
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| _version_ | 1850164120995758080 |
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| author | A. Echeverría-Enríquez M. C. Muñoz-Lecanda N. Román-Roy |
| author_facet | A. Echeverría-Enríquez M. C. Muñoz-Lecanda N. Román-Roy |
| author_sort | A. Echeverría-Enríquez |
| collection | DOAJ |
| description | We give a geometric formulation of the field equations in the
Lagrangian and Hamiltonian formalisms of classical field theories
(of first order) in terms of multivector fields. This formulation
enables us to discuss the existence and nonuniqueness of
solutions of these equations, as well as their integrability. |
| format | Article |
| id | doaj-art-eb137a9cdb174bb7bcd51f220889fdec |
| institution | OA Journals |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2002-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-eb137a9cdb174bb7bcd51f220889fdec2025-08-20T02:22:03ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252002-01-01291268769910.1155/S0161171202013212A geometrical analysis of the field equations in field theoryA. Echeverría-Enríquez0M. C. Muñoz-Lecanda1N. Román-Roy2Departamento de Matemática Aplicada IV., Edificio C-3, Campus Norte UPC., C/ Jordi Girona 1., Barcelona E-08034, SpainDepartamento de Matemática Aplicada IV., Edificio C-3, Campus Norte UPC., C/ Jordi Girona 1., Barcelona E-08034, SpainDepartamento de Matemática Aplicada IV., Edificio C-3, Campus Norte UPC., C/ Jordi Girona 1., Barcelona E-08034, SpainWe give a geometric formulation of the field equations in the Lagrangian and Hamiltonian formalisms of classical field theories (of first order) in terms of multivector fields. This formulation enables us to discuss the existence and nonuniqueness of solutions of these equations, as well as their integrability.http://dx.doi.org/10.1155/S0161171202013212 |
| spellingShingle | A. Echeverría-Enríquez M. C. Muñoz-Lecanda N. Román-Roy A geometrical analysis of the field equations in field theory International Journal of Mathematics and Mathematical Sciences |
| title | A geometrical analysis of the field equations in field theory |
| title_full | A geometrical analysis of the field equations in field theory |
| title_fullStr | A geometrical analysis of the field equations in field theory |
| title_full_unstemmed | A geometrical analysis of the field equations in field theory |
| title_short | A geometrical analysis of the field equations in field theory |
| title_sort | geometrical analysis of the field equations in field theory |
| url | http://dx.doi.org/10.1155/S0161171202013212 |
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