English

Normal form of D4-plus singularities of fronts and its applications

Differential Geometry 2023-12-12 v1

Abstract

We construct a form of the D4+D_4^+-singularity of fronts in R3R^3 which uses coordinate transformation on the source and isometry on the target. As an application, we calculate differential geometric invariants near the D4+D_4^+-singularity, and give a Gauss-Bonnet type theorem for fronts allowing to have this singularity.

Keywords

Cite

@article{arxiv.2312.05931,
  title  = {Normal form of D4-plus singularities of fronts and its applications},
  author = {Kentaro Saji},
  journal= {arXiv preprint arXiv:2312.05931},
  year   = {2023}
}

Comments

12 pages 7 figures