Add to ORKGWe find computable criteria for stability of symplectic leaves of Poisson manifolds. Using Poisson geometry as an inspiration, we also give a general criterion for stability of leaves of Lie algebroids, including singular ones. This not only extends but also provides a new approach (and proofs) to the classical stability results for foliations and group actions
Cover topics including induction and reduction for systems with symmetry, symplectic geometry and to...
We give examples of Poisson structures that admit symplectic resolutions of the same dimension. We a...
There are no special prerequisites to follow this minicourse except for basic differential geometry....
© The Author(s) 2010. This article is published with open access at Springerlink.com Abstract We fin...
The structure of Poisson manifolds is highly nontrivial even locally. The first important result in ...
We prove the Poisson geometric version of the Local Reeb Stability (from foliation theory) and of th...
Let (M,π) be a Poisson manifold. A Poisson submanifold P ⊂ M gives rise to a Lie algebroid AP → P. F...
In this short note we give a complete characterization of a certain class of compact corank one Pois...
We develop a general stability theory for equilibrium points of Poisson dynamical systems and relati...
Abstract. In this short note we give a complete characterization of a certain class of compact coran...
31 pages, 14 references. Other author's papers can be downloaded at http://www.denys-dutykh.com/This...
In this paper we prove rigidity theorems for Poisson Lie group actions on Poisson manifolds. In part...
We define a class of Poisson manifolds that is well-behaved from the point of view of singular folia...
We show that every transitive Lie algebroid over a connected symplectic manifold comes from an intri...
A Poisson structure defined on a smooth manifold induces a foliation by symplectic leaves. At each p...
Cover topics including induction and reduction for systems with symmetry, symplectic geometry and to...
We give examples of Poisson structures that admit symplectic resolutions of the same dimension. We a...
There are no special prerequisites to follow this minicourse except for basic differential geometry....
© The Author(s) 2010. This article is published with open access at Springerlink.com Abstract We fin...
The structure of Poisson manifolds is highly nontrivial even locally. The first important result in ...
We prove the Poisson geometric version of the Local Reeb Stability (from foliation theory) and of th...
Let (M,π) be a Poisson manifold. A Poisson submanifold P ⊂ M gives rise to a Lie algebroid AP → P. F...
In this short note we give a complete characterization of a certain class of compact corank one Pois...
We develop a general stability theory for equilibrium points of Poisson dynamical systems and relati...
Abstract. In this short note we give a complete characterization of a certain class of compact coran...
31 pages, 14 references. Other author's papers can be downloaded at http://www.denys-dutykh.com/This...
In this paper we prove rigidity theorems for Poisson Lie group actions on Poisson manifolds. In part...
We define a class of Poisson manifolds that is well-behaved from the point of view of singular folia...
We show that every transitive Lie algebroid over a connected symplectic manifold comes from an intri...
A Poisson structure defined on a smooth manifold induces a foliation by symplectic leaves. At each p...
Cover topics including induction and reduction for systems with symmetry, symplectic geometry and to...
We give examples of Poisson structures that admit symplectic resolutions of the same dimension. We a...
There are no special prerequisites to follow this minicourse except for basic differential geometry....