English

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 W0,6W_{0,6} in dimension 3 (as well as his 4 and 5-subwebs) have maximal rank.

Keywords

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