7 citations · 7 across the 2 of their papers we have counts for
3 papers
math.DG2005
Stability of higher order singular points of Poisson manifolds and Lie algebroids
Jean-Paul Dufour, Aissa Wade
We study the stability of singular points for smooth Poisson structures as well as general Lie algebroids. We give sufficient conditions for stability lying on the first (not neces…
math.SG2004★ 7 cited
Nonlinearizability of certain Poisson structures near a symplectic leaf
Benjamin Lent Davis, Aissa Wade
We give an intrinsic proof that Vorobjev's first approximation of a Poisson manifold near a symplectic leaf is a Poisson manifold. We also show that Conn's linearization results ca…
math.SG2002
Nambu-Dirac Structures on Lie Algebroids
Aissa Wade
The theory of Nambu-Poisson structures on manifolds is extended to the context of Lie algebroids, in a natural way based on the Vinogradov bracket associated with Lie algebroid coh…