A study on null cartan curve in Minkowski 3-space

Isah M. A., Külahcl M. A.

Applied Mathematics and Nonlinear Sciences, cilt.5, sa.1, ss.413-424, 2020 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 5 Sayı: 1
  • Basım Tarihi: 2020
  • Doi Numarası: 10.2478/amns.2020.1.00039
  • Dergi Adı: Applied Mathematics and Nonlinear Sciences
  • Derginin Tarandığı İndeksler: Scopus, Applied Science & Technology Source, Compendex, zbMATH, DIALNET
  • Sayfa Sayıları: ss.413-424
  • Anahtar Kelimeler: AW(k)-type curve, helix, Null cartan curve
  • İstanbul Ticaret Üniversitesi Adresli: Evet

Özet

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.