1 citations · 1 across the 5 of their papers we have counts for
6 papers
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…
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…
Semi-local invariants for non-resonnant Poisson structures on S1xRn
O. Brahic, J. P. Dufour
The purpose of this paper is to give a semi-local study along generic closed curves of zeros: we formally classify Poisson structures defined in a neighborhood of Gamma:=S^1x{0} in…
Veronese curves and webs interpolation
Thomas B. Bouetou, Jean P. Dufour
Veronese webs appear as the natural way of passing to the quotient of curves in the projective space. In thi paper, we give the link between classical multidimensionnal webs and ve…
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…
Topological rigidity for certain families of differentiable plane curves
Jean Paul Dufour, Yasuhiro Kurokawa
We show that the topological classification and the smooth classification are generically the same for certain families of plane curves in a semi-local case(the double local case).…