Research Article

Special helices on equiform differential geometry of spacelike curves in Minkowski space-time

Volume: 69 Number: 2 December 31, 2020
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

  1. 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.
  2. 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.
  3. 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.
  4. 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.
  5. Turgut, M., Yilmaz, S., Characterizations of Some Special Space-like Curves in Minkowski Space-time, International J.Math. Combin., 2 (2008), 17-22.
  6. Yılmaz, M.Y., Bektaş, M., Slant helices of (k,m)-type in E⁴ , Acta Univ. Sapientiae, Mathematica, 10(2) (2018), 395--401.
  7. Yilmaz, S., Turgut, M., On the characterizations of inclined curves in Minkowski space-time E₁⁴, International Mathematical Forum, 3(16) (2008), 783-792.

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

Cited By

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

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