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Some characterizations for spacelike inclined curves

Year 2019, Volume: 68 Issue: 2, 1576 - 1585, 01.08.2019
https://doi.org/10.31801/cfsuasmas.543297

Abstract

In this paper by establishing the Frenet frame {T,N,B₁,B₂} for a spacelike curve we give some characterizations for the spacelike inclined curves and B₂-slant helices in R₂⁴.

References

  • Fernandez, A., Gimenez, A. and Lucas, P., Null helices in Lorentzian space forms, Int. J. Mod. Phys. A. 16 (2001), 4845-4863.
  • Magden, A., On the Curves of Constant Slope, YTU Fen Bilimleri Dergisi, 4,(1993), 103-109.
  • Ali, A. T. and Lopez, R., Timelike B₂-slant Helices in Minkowski space E₁⁴, arXiv, 0810, 1460v1[math.DG], 8 Oct 2008.
  • Ali, A. T. and Lopez, R., Slant Helices in Euclidean 4-space E⁴, arXiv, 0901, 3324v1[math.DG], 21 Jan 2009.
  • Camci, C., Ilarslan, K., Kula, L. and Hacisalihoğlu, H.H., Harmonic Curvatures and Generalized Helices in Eⁿ, Chaos, Solitions and Fractals, 40 (2009), 2590-2596.
  • Kocayigit, H. andOnder, M., Timelike Curves of Constant Slope in Minkowski Space E₁⁴, BU/JST, 1, (2007), 311-318.
  • Kocayigit, H., Onder, M. and Kazaz, M., Spacelike Helices in Minkowski 4-Space E₁⁴, Anna Del Universita Di Ferrera, (2010), Vol.56, IS 2, pp 335-343.
  • Kocayigit, H., Onder, M. and Kazaz, M., Spacelike B₂-slant Helices in Minkowski 4-Space E₁⁴, Int. Journal of Physical Sciences, 5(5)(2010), 470-475.
  • Kula, L. and Yayli, Y., On Slant Helix and its Spherical Indicatrix, Appl. Math. Comp., 169, (2005), 600-607.
  • Izumiya, S. and Takeuchi, N., New Special Curves and Developable Surfaces, Turk. J. Math., 28(2004), 531-537.
  • Keles, S., Perktas S. Y. and Kilic, E., Biharmonic Curves in LP-Sasakian Manifolds, Bulletin of the Malasyian Mathematical Society, (2) 33(2), 2010, 325-344
  • Yilmaz, S. and Turgut, M., On the Characterizations of Inclined Curves in Minkowski Spacetime E₁⁴, Int. Math. Forum, 3, (2008), no.16, 783-792.
Year 2019, Volume: 68 Issue: 2, 1576 - 1585, 01.08.2019
https://doi.org/10.31801/cfsuasmas.543297

Abstract

References

  • Fernandez, A., Gimenez, A. and Lucas, P., Null helices in Lorentzian space forms, Int. J. Mod. Phys. A. 16 (2001), 4845-4863.
  • Magden, A., On the Curves of Constant Slope, YTU Fen Bilimleri Dergisi, 4,(1993), 103-109.
  • Ali, A. T. and Lopez, R., Timelike B₂-slant Helices in Minkowski space E₁⁴, arXiv, 0810, 1460v1[math.DG], 8 Oct 2008.
  • Ali, A. T. and Lopez, R., Slant Helices in Euclidean 4-space E⁴, arXiv, 0901, 3324v1[math.DG], 21 Jan 2009.
  • Camci, C., Ilarslan, K., Kula, L. and Hacisalihoğlu, H.H., Harmonic Curvatures and Generalized Helices in Eⁿ, Chaos, Solitions and Fractals, 40 (2009), 2590-2596.
  • Kocayigit, H. andOnder, M., Timelike Curves of Constant Slope in Minkowski Space E₁⁴, BU/JST, 1, (2007), 311-318.
  • Kocayigit, H., Onder, M. and Kazaz, M., Spacelike Helices in Minkowski 4-Space E₁⁴, Anna Del Universita Di Ferrera, (2010), Vol.56, IS 2, pp 335-343.
  • Kocayigit, H., Onder, M. and Kazaz, M., Spacelike B₂-slant Helices in Minkowski 4-Space E₁⁴, Int. Journal of Physical Sciences, 5(5)(2010), 470-475.
  • Kula, L. and Yayli, Y., On Slant Helix and its Spherical Indicatrix, Appl. Math. Comp., 169, (2005), 600-607.
  • Izumiya, S. and Takeuchi, N., New Special Curves and Developable Surfaces, Turk. J. Math., 28(2004), 531-537.
  • Keles, S., Perktas S. Y. and Kilic, E., Biharmonic Curves in LP-Sasakian Manifolds, Bulletin of the Malasyian Mathematical Society, (2) 33(2), 2010, 325-344
  • Yilmaz, S. and Turgut, M., On the Characterizations of Inclined Curves in Minkowski Spacetime E₁⁴, Int. Math. Forum, 3, (2008), no.16, 783-792.
There are 12 citations in total.

Details

Primary Language English
Subjects Applied Mathematics
Journal Section Review Articles
Authors

M. Aykut Akgun 0000-0002-8414-5228

A.ihsan Sivridag This is me 0000-0002-5596-9893

Publication Date August 1, 2019
Submission Date April 18, 2018
Acceptance Date October 8, 2018
Published in Issue Year 2019 Volume: 68 Issue: 2

Cite

APA Akgun, M. A., & Sivridag, A. (2019). Some characterizations for spacelike inclined curves. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 68(2), 1576-1585. https://doi.org/10.31801/cfsuasmas.543297
AMA Akgun MA, Sivridag A. Some characterizations for spacelike inclined curves. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. August 2019;68(2):1576-1585. doi:10.31801/cfsuasmas.543297
Chicago Akgun, M. Aykut, and A.ihsan Sivridag. “Some Characterizations for Spacelike Inclined Curves”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68, no. 2 (August 2019): 1576-85. https://doi.org/10.31801/cfsuasmas.543297.
EndNote Akgun MA, Sivridag A (August 1, 2019) Some characterizations for spacelike inclined curves. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68 2 1576–1585.
IEEE M. A. Akgun and A. Sivridag, “Some characterizations for spacelike inclined curves”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 68, no. 2, pp. 1576–1585, 2019, doi: 10.31801/cfsuasmas.543297.
ISNAD Akgun, M. Aykut - Sivridag, A.ihsan. “Some Characterizations for Spacelike Inclined Curves”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68/2 (August 2019), 1576-1585. https://doi.org/10.31801/cfsuasmas.543297.
JAMA Akgun MA, Sivridag A. Some characterizations for spacelike inclined curves. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019;68:1576–1585.
MLA Akgun, M. Aykut and A.ihsan Sivridag. “Some Characterizations for Spacelike Inclined Curves”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 68, no. 2, 2019, pp. 1576-85, doi:10.31801/cfsuasmas.543297.
Vancouver Akgun MA, Sivridag A. Some characterizations for spacelike inclined curves. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019;68(2):1576-85.

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

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