13 citations · 19 across the 10 of their papers we have counts for
6 papers · 1 filter
A step to Gronwall's conjecture
Jean Paul Dufour
In this paper we will explore a way to prove the hundred years old Gronwall's conjecture: if two plane linear 3-webs with non-zero curvature are locally isomorphic, then the isomor…
Rank of ordinary webs in codimension one. An effective method
Jean Paul Dufour, Daniel Lehmann
We are interested by holomorphic -webs of codimension one in a complex -dimensional manifold . If they are ordinary, i.e. if they satisfy to some condition of generici…
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…
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…
Nambu structures and integrable 1-forms
Jean-Paul Dufour, Mikhail Zhitomirskii
Some years ago Moshé Flato pointed up that it could be interesting to develop the Nambu's idea to generalize Hamiltonian mechanic. An interesting new formalism in that direction wa…