The Characterızatıons Of Null Quaternionic Curves In Minkowski 3-Space

Year 2021, Volume: 16 Issue: 2, 261 - 267, 15.09.2021

Şeyda Özel , Mihriban Alyamac Kulahci , Mehmet Bektaş

Abstract

In this study, we investigate some characterizations of Null Quaternionic curves in the Minkowski 3-space. Also,we research Null Quaternionic curves’s the characterizations in Minkowski 3-space.

Keywords

Null Quaternionic curves , Serret-Frenet Formulae , Helices , Slant helices

References

• Referans1 Ali A.T.,Special Smarandache Curves in the Euclidean Space, International Journal of Mathematical Combinatorics, Vol.2, (2010), 30-36.
• Referans2 Çöken, A.C., Tuna, A., Null Quaternionic Curves in Semi-Euclidean 3-Space of Index v,Acta Physica Polonica A, Vol.128,(2015), 2-B, 286-289.
• Referans3 Çöken, A.C., Tuna, A., Serret-Frenet Formulae for Null Quaternionic Curves in Semi Euclidean 4-Space ℝ₁⁴, Acta Physica Polonica A, Vol. 128, (2015),2-B 293-296.
• Referans4 Ahmad T.Ali and Rafael L opez, Slant Helices in Minkowski Space E₁³, J. Korean Math. Soc. Vol. 48 , No. 1, pp. 159-167, (2011).
• Referans5 Yıldırım Yılmaz, M.Bektaş, M., Helices of the 3-dimensional Finsler Manifolds, J. Adv. Math. Studies, Vol. 2, No. 1, 107-112, (2009).
• Referans6 Yıldırım Yılmaz, M., Külahcı, M., Öğrenmiş, A.O., A Slant Helix Characterization in Riemann-Otsuki Space, Mathematica Moravica, Vol. 16-2, 99-106, (2012)
• Referans7 Yildirim Yilmaz, M., Bektaş, M., Slant helices of (k,m)-type in E⁴, Acta Univ. Sapientiae, Mathematica 10, 2, (2018), 395-401.