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Some characterizations for spacelike inclined curves

Yıl 2019, Cilt: 68 Sayı: 2, 1576 - 1585, 01.08.2019
https://doi.org/10.31801/cfsuasmas.543297

Öz

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.

Kaynakça

  • 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.
Yıl 2019, Cilt: 68 Sayı: 2, 1576 - 1585, 01.08.2019
https://doi.org/10.31801/cfsuasmas.543297

Öz

Kaynakça

  • 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.
Toplam 12 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Uygulamalı Matematik
Bölüm Makaleler
Yazarlar

M. Aykut Akgun 0000-0002-8414-5228

A.ihsan Sivridag Bu kişi benim 0000-0002-5596-9893

Yayımlanma Tarihi 1 Ağustos 2019
Gönderilme Tarihi 18 Nisan 2018
Kabul Tarihi 8 Ekim 2018
Yayımlandığı Sayı Yıl 2019 Cilt: 68 Sayı: 2

Kaynak Göster

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. Ağustos 2019;68(2):1576-1585. doi:10.31801/cfsuasmas.543297
Chicago Akgun, M. Aykut, ve A.ihsan Sivridag. “Some Characterizations for Spacelike Inclined Curves”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68, sy. 2 (Ağustos 2019): 1576-85. https://doi.org/10.31801/cfsuasmas.543297.
EndNote Akgun MA, Sivridag A (01 Ağustos 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 ve A. Sivridag, “Some characterizations for spacelike inclined curves”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., c. 68, sy. 2, ss. 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 (Ağustos 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 ve A.ihsan Sivridag. “Some Characterizations for Spacelike Inclined Curves”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, c. 68, sy. 2, 2019, ss. 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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