Le rang des tissus de Nakai
Differential Geometry
2022-04-22 v1
Abstract
According to Alain H\'enaut, 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-subweb. We prove that Nakai's webs have rank 0 or 1. We give examples with rank 1 and present a universal way to build such examples.
Cite
@article{arxiv.2204.10077,
title = {Le rang des tissus de Nakai},
author = {Jean Paul Dufour and Daniel Lehmann},
journal= {arXiv preprint arXiv:2204.10077},
year = {2022}
}
Comments
in French language