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- Title
A natural Frenet frame for null curves on the lightlike cone in Minkowski space R24.
- Authors
Abazari, Nemat; Bohner, Martin; Sağer, Ilgin; Sedaghatdoost, Alireza; Yayli, Yusuf
- Abstract
In this paper, we investigate the representation of curves on the lightlike cone Q 2 3 in Minkowski space R 2 4 by structure functions. In addition, with this representation, we classify all of the null curves on the lightlike cone Q 2 3 in four types, and we obtain a natural Frenet frame for these null curves. Furthermore, for this natural Frenet frame, we calculate curvature functions of a null curve, especially the curvature function κ 2 = 0 , and we show that any null curve on the lightlike cone is a helix. Finally, we find all curves with constant curvature functions.
- Subjects
MINKOWSKI space; CONES; CURVES; CURVATURE; HELICES (Algebraic topology)
- Publication
Journal of Inequalities & Applications, 2020, Vol 2020, Issue 1, pN.PAG
- ISSN
1025-5834
- Publication type
Article
- DOI
10.1186/s13660-020-02500-y