English

On pairs of geometric foliations on a cuspidal edge

Geometric Topology 2017-03-28 v1

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.

Keywords

Cite

@article{arxiv.1703.08903,
  title  = {On pairs of geometric foliations on a cuspidal edge},
  author = {Kentaro Saji},
  journal= {arXiv preprint arXiv:1703.08903},
  year   = {2017}
}

Comments

19 pages, 14 figures