Cotangent bundle reduction and Routh reduction for polysymplectic manifolds
| Autor: | S Capriotti, V Díaz, E García-Toraño Andrés, T Mestdag |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2022 |
| Předmět: |
Statistics and Probability
Mathematics - Differential Geometry Differential Geometry (math.DG) Modeling and Simulation Physics FOS: Mathematics General Physics and Astronomy FOS: Physical sciences Statistical and Nonlinear Physics Mathematical Physics (math-ph) Mathematics::Symplectic Geometry Mathematics Mathematical Physics |
| Zdroj: | Journal of physics : A : mathematical and theoretical |
| ISSN: | 1751-8113 |
| Popis: | We discuss Lagrangian and Hamiltonian field theories that are invariant under a symmetry group. We apply the polysymplectic reduction theorem for both types of field equations and we investigate aspects of the corresponding reconstruction process. We identify the polysymplectic structures that lie at the basis of cotangent bundle reduction and Routh reduction in this setting and we relate them by means of the Routhian function and its associated Legendre transformation. Throughout the paper we provide examples that illustrate various aspects of the results. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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