Research Article
Year 2019,
Volume: 68 Issue: 2, 1576 - 1585, 01.08.2019
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.
Keywords
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
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 | Research Article |
| Authors | |
| Submission Date | April 18, 2018 |
| Acceptance Date | October 8, 2018 |
| Publication Date | August 1, 2019 |
| DOI | https://doi.org/10.31801/cfsuasmas.543297 |
| IZ | https://izlik.org/JA94AZ27HS |
| Published in Issue | Year 2019 Volume: 68 Issue: 2 |
Cite
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