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math.DG2005
Legendre transformation and lifting of multi-vectors
Jean-Paul Dufour
This paper has three objectives. First to recall the link between the classical Legendre-Fenschel transformation and a useful isomorphism between 1-jets of functions on a vector bu…
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…