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math.DG2022
Le rang des tissus de Nakai
Jean Paul Dufour, Daniel Lehmann
According to Alain Hénaut, a planar 4-web is called Nakai's web if the cross-ratio of the tangents to the four foliations at each point is constant and if it has no hexagonal 3-sub…
math.DG2015
La formule de la trace pour les tissus planaires
Jean Paul Dufour
We give a complete proof of the fact that the trace of the curvature of the connection associated to a planar d-web (d>3) is the sum of the Blaschke curvatures of its sub 3-webs.
math.DG2015
Courbure des tissus planaires définis implicitement par une équation différentielle polynomiale en y'. Programmation
Jean-Paul Dufour, Daniel Lehmann
The aim of this paper is mainly, after some theoretical explanations, to provide a program on Maple for computing, whatever be d, the curvature of the planar d-web implicitely defi…