24 citations · 33 across the 9 of their papers we have counts for
4 papers · 1 filter
Action-Angle variables on Dirac manifolds
Nguyen Tien Zung
The main purpose of this paper is to show the existence of action-angle variables for integrable Hamiltonian systems on Dirac manifolds under some natural regularity and compactnes…
Rigidity of Hamiltonian actions on Poisson manifolds
Eva Miranda, Philippe Monnier, Nguyen Tien Zung
This paper is about the rigidity of compact group actions in the Poisson context. The main resut is that Hamiltonian actions of compact semisimple type are rigid. We prove it via a…
A note on equivariant normal forms of Poisson structures
Eva Miranda, Nguyen Tien Zung
We prove an equivariant version of the local splitting theorem for tame Poisson structures and Poisson actions of compact Lie groups. As a consequence, we obtain an equivariant lin…
Equivariant normal form for nondegenerate singular orbits of integrable Hamiltonian systems
Eva Miranda, Nguyen Tien Zung
We consider an integrable Hamiltonian system with n-degrees of freedom whose first integrals are invariant under the symplectic action of a compact Lie group G. We prove that the s…