46 citations · 55 across the 9 of their papers we have counts for
17 papers
Normal forms of vector fields on Poisson manifolds
Philippe Monnier, Nguyen Tien Zung
We study formal and analytic normal forms of radial and Hamiltonian vector fields on Poisson manifolds near a singular point.
Torus Actions and Integrable Systems
Nguyen Tien Zung
This is a survey on natural local torus actions which arise in integrable dynamical systems, and their relations with other subjects, including: reduced integrability, local normal…
Proper Groupoids and Momentum Maps: Linearization, Affinity and Convexity
Nguyen Tien Zung
We show that proper Lie groupoids are locally linearizable. As a consequence, the orbit space of a proper Lie groupoid is a smooth orbispace (a Hausdorff space which locally looks…
Linearization of proper groupoids
Nguyen Tien Zung
We prove the following result, conjectured by Alan Weinstein: every smooth proper Lie groupoid near a fixed point is locally linearizable, i.e. it is locally isomorphic to the asso…
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…