Weakly Hamilltonian actions
In this paper we generalize constructions of non-commutati ve integrable systems to the context of weakly Hamiltonian actions on Poisson manifolds. In particular we prove that abelian weakly Hamil tonian actions on symplectic manifolds split into Hamiltonian and non-Hamiltonian factors, and explore...
| Autores: | , |
|---|---|
| Tipo de recurso: | artículo |
| Fecha de publicación: | 2016 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/90097 |
| Acceso en línea: | https://hdl.handle.net/2117/90097 https://dx.doi.org/10.1016/j.geomphys.2016.04.022 |
| Access Level: | acceso abierto |
| Palabra clave: | Integral equations Equacions integrals Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals |
| Sumario: | In this paper we generalize constructions of non-commutati ve integrable systems to the context of weakly Hamiltonian actions on Poisson manifolds. In particular we prove that abelian weakly Hamil tonian actions on symplectic manifolds split into Hamiltonian and non-Hamiltonian factors, and explore generalizations in the Poisson setting. |
|---|