Dergiler / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2019 / Volume: 68 Issue: 2

Some characterizations for spacelike inclined curves

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Yayın Tarihi
2019-08-01
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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.

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Amaç & Hipotez: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.
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Temel Bulgular & Veri: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.
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Sonuç & Katkı: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.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:B₂-slant helix · inclined curve · spacelike curve

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.

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Bu Makaleye Atıf Yap

Akgun, M. A., Sivridag, A. (2019). Some characterizations for spacelike inclined curves. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 68 Issue: 2. https://doi.org/10.31801/cfsuasmas.543297

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Kaynakça (12)

  1. Fernandez, A., Gimenez, A. and Lucas, P., Null helices in Lorentzian space forms, Int. J. Mod. Phys. A. 16 (2001), 4845-4863.
  2. Magden, A., On the Curves of Constant Slope, YTU Fen Bilimleri Dergisi, 4,(1993), 103-109.
  3. Ali, A. T. and Lopez, R., Timelike B₂-slant Helices in Minkowski space E₁⁴, arXiv, 0810, 1460v1[math.DG], 8 Oct 2008.
  4. Ali, A. T. and Lopez, R., Slant Helices in Euclidean 4-space E⁴, arXiv, 0901, 3324v1[math.DG], 21 Jan 2009.
  5. 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.
  6. Kocayigit, H. andOnder, M., Timelike Curves of Constant Slope in Minkowski Space E₁⁴, BU/JST, 1, (2007), 311-318.
  7. 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.
  8. 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.
  9. Kula, L. and Yayli, Y., On Slant Helix and its Spherical Indicatrix, Appl. Math. Comp., 169, (2005), 600-607.
  10. Izumiya, S. and Takeuchi, N., New Special Curves and Developable Surfaces, Turk. J. Math., 28(2004), 531-537.
  11. 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
  12. Yilmaz, S. and Turgut, M., On the Characterizations of Inclined Curves in Minkowski Spacetime E₁⁴, Int. Math. Forum, 3, (2008), no.16, 783-792.