2024/01/29 by Daniel, Lehmann
#53A60 #Differential Geometry (math.DG) #Dynamical Systems (math.DS) #FOS: Mathematics
paper · doi:10.48550/arxiv.2401.15988
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 W0,6 in dimension 3 (as well as his 4 and 5-subwebs) have maximal rank.