paper

On pairs of geometric foliations on a cuspidal edge

arXiv:1703.08903

Abstract

We study the topological configurations of the lines of principal curvature, the asymptotic and characteristic curves on a cuspidal edge, in the domain of a parametrization of this surface as well as on the surface itself. Such configurations are determined by the 3-jets of a parametrization of the surface.

19 pages, 14 figures

References in corpus (1)