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Courbure des tissus en courbes

Lehmann Daniel

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

Courbure des tissus en courbes

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.
Paper Structure (3 sections, 39 equations)

This paper contains 3 sections, 39 equations.

Table of Contents

  1. Introduction :
  2. Calcul de $Ab^{n-1}(\cal W)$ :
  3. Appendice (Programmation) :