Special helices on equiform differential geometry of spacelike curves in Minkowski space-time
In our study, we establish k-type helices and (k,m)-type slant helices for equiform differential geometry of spacelike curves in 4-dimensional Minkowski space E₁⁴ and give some new characterizations for these helices. In this paper, we obtain characterizations equiform differential geometry of spacelike curves in 4-dimensional Minkowski space E$_{1}^{4}$. We establish $k$-type helices for this curves. Also we obtain $(k,m)$-type slant helices for equiform differential geometry of spacelike curves in Minkowski space-time.
___
- Ali, A. T., López, R., Turgut, M., k-type partially null and pseudo null slant helices in Minkowski 4-space, Math.Commun., 17 (2012), 93-103.
- Abdel-Aziz, H.S., Saad, M.K. Abdel-Salam, A.A., Equiform Differential Geometry of Curves in Minkowski Space-Time, arXiv.org/math/ arXiv:1501.02283.
- İlarslan, K., Nešović, E., Spacelike and Timelike Normal Curves in Minkowski Space-Time, Publications de L'Institut Mathematique, Nouvelle série, tome 85(99) (2009), 111-118.
- Aydın, M.E., Ergüt, M., The equiform differential geometry of curves in 4-dimensional Galilean space G4, Stud. Univ. Babe¸ s-Bolyai Math., 58(3) (2013), 399--406.
- Turgut, M., Yilmaz, S., Characterizations of Some Special Space-like Curves in Minkowski Space-time, International J.Math. Combin., 2 (2008), 17-22.
- Yılmaz, M.Y., Bektaş, M., Slant helices of (k,m)-type in E⁴ , Acta Univ. Sapientiae, Mathematica, 10(2) (2018), 395--401.
- Yilmaz, S., Turgut, M., On the characterizations of inclined curves in Minkowski space-time E₁⁴, International Mathematical Forum, 3(16) (2008), 783-792.
- ISSN: 1303-5991
- Yayın Aralığı: Yılda 4 Sayı
- Başlangıç: 1948
- Yayıncı: Ankara Üniversitesi