English

Parallel and dual surfaces of cuspidal edges

Differential Geometry 2020-03-25 v1

Abstract

We study parallel surfaces and dual surfaces of cuspidal edges. We give concrete forms of principal curvature and principal direction for cuspidal edges. Moreover, we define ridge points for cuspidal edges by using those. We clarify relations between singularities of parallel and dual surfaces and differential geometric properties of initial cuspidal edges.

Keywords

Cite

@article{arxiv.1510.06500,
  title  = {Parallel and dual surfaces of cuspidal edges},
  author = {Keisuke Teramoto},
  journal= {arXiv preprint arXiv:1510.06500},
  year   = {2020}
}

Comments

9 pages, 2 figures

R2 v1 2026-06-22T11:26:15.039Z