85 citations · 365 across the 32 of their papers we have counts for
3 papers · 1 filter
Coupling symmetries with Poisson structures
Camille Laurent-Gengoux, Eva Miranda
We study local normal forms for completely integrable systems on Poisson manifolds in the presence of additional symmetries. The symmetries that we consider are encoded in actions…
Action-angle coordinates for integrable systems on Poisson manifolds
Camille Laurent-Gengoux, Eva Miranda, Pol Vanhaecke
We prove the action-angle theorem in the general, and most natural, context of integrable systems on Poisson manifolds, thereby generalizing the classical proof, which is given in…
The modular class of a twisted Poisson structure
Yvette Kosmann-Schwarzbach, Camille Laurent-Gengoux
We study the geometric and algebraic properties of the twisted Poisson structures on Lie algebroids, leading to a definition of their modular class and to an explicit determination…