Research Article

Slant Helices with Fermi-Walker Derivative of Equiform Timelike Curves

Volume: 15 Number: 3 September 15, 2025
EN TR

Slant Helices with Fermi-Walker Derivative of Equiform Timelike Curves

Abstract

Fermi-Walker transformation plays an important role for geometry and physical applications. In this manuscript, we give basic geometric definitions and then we present timelike curve with equiform parameter in the equiform geometry. In addition, we have dealed with the properties of (k,m)-type slant helices in terms of curvature functions by using Fermi-Walker transformation for timelike curves on equiform differential geometry in Minkowski spacetime.

Keywords

Slant helices, Fermi-Walker derivative, Timelike curves

References

  1. 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.
  2. Ali A., Lopez R.,( 2011). Slant helices in Minkowski space E₁³, Journal of Korean Mathematical Society. 48159-167.
  3. Ali A., Lopez R., (2012).Turgut M., k-type partially null and pseudo null slant helices in Minkowski 4-space, Mathematical Communications,1793-1803.
  4. Ali A. T., Turgut M., (2010).Some characterizations of slant helices in Euclidean space En, Hacettepe Journal of Mathematics and Statistic, 39(3), 327-336.
  5. Bulut F., Bektaş M., (2020).Special Heices on Equiform Differential Geometry of Spacelike curves in Minkowski spacetime, Commun.Fac.Sci.Univ.Ank.Ser. A1 Math. Stat., 69(2), 1045-1056.
  6. Çetin E.Ç., Bektaş M., (2020). k-type slant helices for symplectic curve in 4-dimensional symplectic space, Facta Universitatis, Series: Mathematics and Informatics, 641-646.
  7. Ferrandez A., Gimenĕz A., Lucas P., (2002). Null generalized helices in Lorentz-Minkowski space, Journal of Physics A: Mathematical and General,35,8243-8251.
  8. Kula L., Yaylı Y., (2005). On slant helix and its spherical indicatrix, Applied Mathematics and Computing., 169, 600-607.
  9. Körpınar T., (2015). On the Fermi Walker Derivative for Inextensible Flows, Zeitschrift für Naturforschung A- A Journal of Physical Sciences , 70a, 477-482.
  10. Önder M., Kazaz M., Kocayiğit H., Kılıç O., (2008). B₂-slant helix in Euclidean 4-space E⁴, International Journal of Computational Materials and Science, 3, 1443-1440.
APA
Çiçek Çetin, E. (2025). Slant Helices with Fermi-Walker Derivative of Equiform Timelike Curves. Karadeniz Fen Bilimleri Dergisi, 15(3), 995-1003. https://doi.org/10.31466/kfbd.1523382
AMA
1.Çiçek Çetin E. Slant Helices with Fermi-Walker Derivative of Equiform Timelike Curves. KFBD. 2025;15(3):995-1003. doi:10.31466/kfbd.1523382
Chicago
Çiçek Çetin, Esra. 2025. “Slant Helices With Fermi-Walker Derivative of Equiform Timelike Curves”. Karadeniz Fen Bilimleri Dergisi 15 (3): 995-1003. https://doi.org/10.31466/kfbd.1523382.
EndNote
Çiçek Çetin E (September 1, 2025) Slant Helices with Fermi-Walker Derivative of Equiform Timelike Curves. Karadeniz Fen Bilimleri Dergisi 15 3 995–1003.
IEEE
[1]E. Çiçek Çetin, “Slant Helices with Fermi-Walker Derivative of Equiform Timelike Curves”, KFBD, vol. 15, no. 3, pp. 995–1003, Sept. 2025, doi: 10.31466/kfbd.1523382.
ISNAD
Çiçek Çetin, Esra. “Slant Helices With Fermi-Walker Derivative of Equiform Timelike Curves”. Karadeniz Fen Bilimleri Dergisi 15/3 (September 1, 2025): 995-1003. https://doi.org/10.31466/kfbd.1523382.
JAMA
1.Çiçek Çetin E. Slant Helices with Fermi-Walker Derivative of Equiform Timelike Curves. KFBD. 2025;15:995–1003.
MLA
Çiçek Çetin, Esra. “Slant Helices With Fermi-Walker Derivative of Equiform Timelike Curves”. Karadeniz Fen Bilimleri Dergisi, vol. 15, no. 3, Sept. 2025, pp. 995-1003, doi:10.31466/kfbd.1523382.
Vancouver
1.Esra Çiçek Çetin. Slant Helices with Fermi-Walker Derivative of Equiform Timelike Curves. KFBD. 2025 Sep. 1;15(3):995-1003. doi:10.31466/kfbd.1523382