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Coupling symmetries with Poisson structures

Autor
Laurent-Gengoux, C.; Miranda, E.
Tipus d'activitat
Document cientificotècnic
Data
2012-10-30
Repositori
http://hdl.handle.net/2117/16840 Obrir en finestra nova
Resum
In this paper we study normal forms problems for integrable systems on Poisson manifolds in the presence of additional symmetries. The symmetries that we consider are encoded in actions of compact Lie groups. The equivariant normal forms are obtained at the local level. The existence of Weinstein’s splitting theorem for the integrable system is also studied giving some examples in which such a splitting cannot split. This splitting allows to decompose the integrable system locally as a product...
Citació
Laurent-Gengoux, C.; Miranda, E. "Coupling symmetries with Poisson structures". 2012.
Grup de recerca
GEOMVAP - Geometria de Varietats i Aplicacions

Participants