46 citations · 120 across the 21 of their papers we have counts for
5 papers · 1 filter
Presymplectic convexity and (ir)rational polytopes
Tudor Ratiu, Nguyen Tien Zung
In this paper, we extend the Atiyah--Guillemin--Sternberg convexity theorem and Delzant's classification of symplectic toric manifolds to presymplectic manifolds. We also define an…
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.
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…
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.