EN
Special helices on equiform differential geometry of spacelike curves in Minkowski space-time
Abstract
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.
Keywords
References
- 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.
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- Yılmaz, M.Y., Bektaş, M., Slant helices of (k,m)-type in E⁴ , Acta Univ. Sapientiae, Mathematica, 10(2) (2018), 395--401.
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Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Publication Date
December 31, 2020
Submission Date
February 7, 2020
Acceptance Date
May 15, 2020
Published in Issue
Year 2020 Volume: 69 Number: 2
APA
Bulut, F., & Bektaş, M. (2020). Special helices on equiform differential geometry of spacelike curves in Minkowski space-time. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 69(2), 1045-1056. https://doi.org/10.31801/cfsuasmas.686311
AMA
1.Bulut F, Bektaş M. Special helices on equiform differential geometry of spacelike curves in Minkowski space-time. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2020;69(2):1045-1056. doi:10.31801/cfsuasmas.686311
Chicago
Bulut, Fatma, and Mehmet Bektaş. 2020. “Special Helices on Equiform Differential Geometry of Spacelike Curves in Minkowski Space-Time”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 69 (2): 1045-56. https://doi.org/10.31801/cfsuasmas.686311.
EndNote
Bulut F, Bektaş M (December 1, 2020) Special helices on equiform differential geometry of spacelike curves in Minkowski space-time. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 69 2 1045–1056.
IEEE
[1]F. Bulut and M. Bektaş, “Special helices on equiform differential geometry of spacelike curves in Minkowski space-time”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 69, no. 2, pp. 1045–1056, Dec. 2020, doi: 10.31801/cfsuasmas.686311.
ISNAD
Bulut, Fatma - Bektaş, Mehmet. “Special Helices on Equiform Differential Geometry of Spacelike Curves in Minkowski Space-Time”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 69/2 (December 1, 2020): 1045-1056. https://doi.org/10.31801/cfsuasmas.686311.
JAMA
1.Bulut F, Bektaş M. Special helices on equiform differential geometry of spacelike curves in Minkowski space-time. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2020;69:1045–1056.
MLA
Bulut, Fatma, and Mehmet Bektaş. “Special Helices on Equiform Differential Geometry of Spacelike Curves in Minkowski Space-Time”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 69, no. 2, Dec. 2020, pp. 1045-56, doi:10.31801/cfsuasmas.686311.
Vancouver
1.Fatma Bulut, Mehmet Bektaş. Special helices on equiform differential geometry of spacelike curves in Minkowski space-time. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2020 Dec. 1;69(2):1045-56. doi:10.31801/cfsuasmas.686311
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