Singular Special Curves in 3-Space Forms

We study the singular Bertrand curves and Mannheim curves in the 3-dimensional space forms. We introduce the geometrical properties of such special curves. Moreover, we get the relationships between singularities of original curves and torsions of another mate curves.

Bibliographic Details
Main Authors: Jie Huang, Donghe Pei
Format: Article
Language:English
Published: MDPI AG 2020-05-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/8/5/846