"A Natural Frenet Frame for Null Curves on the Lightlike Cone in Minkow" by Nemat Abazari, Martin Bohner et al.
 

Abstract

In this paper, we investigate the representation of curves on the lightlike cone ℚ³₂ in Minkowski space ℝ⁴₂ by structure functions. In addition, with this representation, we classify all of the null curves on the lightlike cone ℚ³₂ 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 κ₂ = 0 , and we show that any null curve on the lightlike cone is a helix. Finally, we find all curves with constant curvature functions.

Department(s)

Mathematics and Statistics

Keywords and Phrases

Constant curvature function; Helix; Lightlike cone; Natural Frenet frame; Null curve

International Standard Serial Number (ISSN)

1029-242X

Document Type

Article - Journal

Document Version

Final Version

File Type

text

Language(s)

English

Rights

© 2021 The Authors, All rights reserved.

Publication Date

01 Nov 2020

Plum Print visual indicator of research metrics
PlumX Metrics
  • Citations
    • Citation Indexes: 1
  • Usage
    • Downloads: 130
    • Abstract Views: 15
  • Captures
    • Readers: 1
see details

Share

 
COinS
 
 
 
BESbswy