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Year 2020, Volume: 69 Issue: 2, 1045 - 1056, 31.12.2020
https://doi.org/10.31801/cfsuasmas.686311

Abstract

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.
  • 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.

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

Year 2020, Volume: 69 Issue: 2, 1045 - 1056, 31.12.2020
https://doi.org/10.31801/cfsuasmas.686311

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.

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.
  • 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.
There are 7 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Research Articles
Authors

Fatma Bulut 0000-0002-7684-6796

Mehmet Bektaş 0000-0002-5797-4944

Publication Date December 31, 2020
Submission Date February 7, 2020
Acceptance Date May 15, 2020
Published in Issue Year 2020 Volume: 69 Issue: 2

Cite

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 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. December 2020;69(2):1045-1056. doi:10.31801/cfsuasmas.686311
Chicago 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 69, no. 2 (December 2020): 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 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, 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 2020), 1045-1056. https://doi.org/10.31801/cfsuasmas.686311.
JAMA 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, 2020, pp. 1045-56, doi:10.31801/cfsuasmas.686311.
Vancouver 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):1045-56.

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

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