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.
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 |
Similar Items
-
Bertrand and Mannheim Curves of Spherical Framed Curves in a Three-Dimensional Sphere
by: Masatomo Takahashi, et al.
Published: (2022-04-01) -
Generalized Bertrand Curves in Minkowski 3-Space
by: Chunxiao Zhang, et al.
Published: (2020-12-01) -
Bertrand and Mannheim Partner -curves on Parallel Surfaces
by: Sezai Kızıltuğ
Published: (2017-03-01) -
On Some Quasi-Curves in Galilean Three-Space
by: Ayman Elsharkawy, et al.
Published: (2023-08-01) -
A New Class of Bertrand Curves in Euclidean 4-Space
by: Yanlin Li, et al.
Published: (2022-06-01)