46 citations · 55 across the 9 of their papers we have counts for
7 papers · 1 filter
Torus actions and automorphism groups of singularities of integrable dynamical systems
Nguyen Tien Zung
We show that in the neighborhood of each ``finite type'' singular orbit of a real analytic integrable dynamical system (hamiltonian or not) there is a real analytic torus action wh…
Levi decomposition for smooth Poisson structures
Philippe Monnier, Nguyen Tien Zung
We prove the existence of a local smooth Levi decomposition for smooth Poisson structures and Lie algebroids near a singular point. In the appendix of this paper, we show an abstra…
Nondegeneracy of the Lie algebra aff(n)
Jean-Paul Dufour, Nguyen Tien Zung
We show that , the Lie algebra of affine transformations of is formally and analytically nondegenerate in the sense of A. Weinstein. This means…
A geometric proof of Conn's linearization theorem for analytic Poisson structures
Nguyen Tien Zung
We give a geometric proof of Conn's linearization theorem for analytic Poisson structures, without using the fast convergence method.
Nonresonant smooth integrable Hamiltonian systems which don't admit a local smooth Birkhoff normal form
Nguyen Tien Zung
This small note has been withdrawn by the author. The main result of the note, with a corrected proof written in collaboration with a collegue, will be part of a joint work.
Levi decomposition of analytic Poisson structures and Lie algebroids
Nguyen Tien Zung
We prove the existence of a local analytic Levi decomposition for analytic Poisson structures and Lie algebroids.