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Weakly Hamilltonian actions

Autor
MARTINEZ, D.; Miranda, E.
Tipus d'activitat
Article en revista
Revista
Journal of geometry and physics
Data de publicació
2017-05
Volum
115
Pàgina inicial
131
Pàgina final
138
DOI
https://doi.org/10.1016/j.geomphys.2016.04.022 Obrir en finestra nova
Projecte finançador
Geometría y topología de variedades, algebra y aplicaciones
Repositori
http://arxiv.org/abs/1602.03542 Obrir en finestra nova
http://hdl.handle.net/2117/90097 Obrir en finestra nova
URL
http://www.sciencedirect.com/science/article/pii/S0393044016301085 Obrir en finestra nova
Resum
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.
Citació
Miranda, E., MARTINEZ, D. Weakly Hamilltonian actions. "Journal of geometry and physics", 2016.
Paraules clau
Weakly Hamiltonian Actions, Integrable Systems, Lie Algebras, Poisson Geometry, Real Analytic Functions
Grup de recerca
GEOMVAP - Geometria de Varietats i Aplicacions

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