Courbure des tissus en courbes
Differential Geometry
2024-01-30 v1 Dynamical Systems
Abstract
For any d-web by curves in an ambiant n-dimensional manifold, we define a tautological connection on some associated bundle, whose curvature vanishes iff the web has a maximal (n-1)-rank. As an application we recover, with the help of a Maple programm, that the exceptional 6-web in dimension 3 (as well as his 4 and 5-subwebs) have maximal rank.
Cite
@article{arxiv.2401.15988,
title = {Courbure des tissus en courbes},
author = {Lehmann Daniel},
journal= {arXiv preprint arXiv:2401.15988},
year = {2024}
}
Comments
15 pages, in french