A study on null cartan curve in Minkowski 3-space

Isah M. A., Külahcl M. A.

Applied Mathematics and Nonlinear Sciences, vol.5, no.1, pp.413-424, 2020 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 5 Issue: 1
  • Publication Date: 2020
  • Doi Number: 10.2478/amns.2020.1.00039
  • Journal Name: Applied Mathematics and Nonlinear Sciences
  • Journal Indexes: Scopus, Applied Science & Technology Source, Compendex, zbMATH, DIALNET
  • Page Numbers: pp.413-424
  • Keywords: AW(k)-type curve, helix, Null cartan curve
  • İstanbul Ticaret University Affiliated: Yes

Abstract

Null cartan curves have been studied by some geometers in both Euclidean and Minkowski spaces, but some special characters of the curves are not considered. In this paper, we study weak AW (k) - type and AW (k) - type null cartan curve in Minkowski 3-space E13. We define helix according to Bishop frame in E13. Furthermore, the necessary and sufficient conditions for the helices in Minkowski 3-space are obtained.