k-cosymplectic formalism in classical field theory: the Skinner–Rusk approach
The k-cosymplectic Lagrangian and Hamiltonian formalisms of first-order field theories are reviewed and completed. In particular they are stated for singular almost-regular systems. After that, both formalisms are unified by giving an extension of the Skinner-Rusk formulation on classical mechanics...
| Autores: | , , |
|---|---|
| Formato: | artículo |
| Fecha de publicación: | 2006 |
| País: | España |
| Recursos: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/393 |
| Acesso em linha: | https://hdl.handle.net/2117/393 |
| Access Level: | acceso abierto |
| Palavra-chave: | Symplectic geometry Differential geometry k-cosymplectic forms Classical field theory Lagrangian formalism Hamiltonian formalism Geometria diferencial Varietats simplèctiques Classificació AMS::70 Mechanics of particles and systems {For relativistic mechanics, see 83A05 and 83C10 for statistical mechanics, see 82-xx}::70S Classical field theories [See also 37Kxx, 37Lxx, 78-xx, 81Txx, 83-xx] Classificació AMS::53 Differential geometry {For differential topology, see 57Rxx. For foundational questions of differentiable manifolds, see 58Axx}::53D Symplectic geometry, contact geometry [See also 37Jxx, 70Gxx, 70Hxx] |
| Resumo: | The k-cosymplectic Lagrangian and Hamiltonian formalisms of first-order field theories are reviewed and completed. In particular they are stated for singular almost-regular systems. After that, both formalisms are unified by giving an extension of the Skinner-Rusk formulation on classical mechanics for first-order field theories. |
|---|