English

Normal form of swallowtail and its applications

Geometric Topology 2017-03-28 v1 Differential Geometry

Abstract

We construct a form of swallowtail singularity in R^3 which uses coordinate transformation on the source and isometry on the target. As an application, we classify configurations of asymptotic curves and characteristic curves near swallowtail.

Keywords

Cite

@article{arxiv.1703.08904,
  title  = {Normal form of swallowtail and its applications},
  author = {Kentaro Saji},
  journal= {arXiv preprint arXiv:1703.08904},
  year   = {2017}
}

Comments

16 pages, 13 figures

R2 v1 2026-06-22T18:57:23.400Z