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Dergiler / Hagia Sophia Journal of Geometry / 2021 / Cilt: 3 Sayı: 2

On Spacelike $(1,3)$-Bertrand Curves in $E_{2}^{4}$

Tuba Ağırman Aydın(BAYBURT ÜNİVERSİTESİ, BAYBURT EĞİTİM FAKÜLTESİ)0000-0001-8034-0723
Hüseyin Kocayiğit(MANİSA CELÂL BAYAR ÜNİVERSİTESİ)
Sayfa
1–11
Yayın Tarihi
2021-12-27
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Moreover, the characterizations of spacelike (1,3)-Bertrand curves is given in $E_{2}^{4}$.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper, it is proved that, no special spacelike Frenet curve is a Bertrand curve in $E_{2}^{4}$.
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Temel Bulgular & Veri:Therefore, a generalization of spacelike Bertrand curve is defined and this is called as spacelike $(1,3)$-Bertrand curve in $E_{2}^{4}$.
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Sonuç & Katkı:Moreover, the characterizations of spacelike (1,3)-Bertrand curves is given in $E_{2}^{4}$.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Semi-Euclidean space · spacelike Bertrand curves · spacelike (1

Abstract

In this paper, it is proved that, no special spacelike Frenet curve is a Bertrand curve in $E_{2}^{4}$. Therefore, a generalization of spacelike Bertrand curve is defined and this is called as spacelike $(1,3)$-Bertrand curve in $E_{2}^{4}$. Moreover, the characterizations of spacelike (1,3)-Bertrand curves is given in $E_{2}^{4}$.

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Bu Makaleye Atıf Yap

Aydın, T. A., Kocayiğit, H. (2021). On Spacelike $(1,3)$-Bertrand Curves in $E_{2}^{4}$. Hagia Sophia Journal of Geometry, Cilt: 3 Sayı: 2, 1–11. https://ajindex.com/articles/1490448

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Kaynakça (16)

  1. Nutbourne, A. W., & Martin, R. R. (1988). Differential geometry applied to curve and surface design. Ellis Horwood,Chichester, UK.
  2. Matsuda, H., & Yorozu, S. (2003). Notes on Bertrand curves.Yokohama Math. J., 50, 41-58.
  3. Pears, L. R. (1935). Bertrand curves in Riemannian space.Journal of the London Mathematical Society,1-10(3), 180-183.
  4. Ekmekçi, N., & İlarslan, K. (2001). On Bertrand curves and their characterization.Differential Geometry-DynamicalSystems, 3(2), 17-24.
  5. Yilmaz, M. Y., & Bektas ̧, M. (2008). General properties of Bertrand curves in Riemann-Otsuki space. Nonlinear Analysis:Theory, Methods & Applications, 69(10), 3225-3231.
  6. Izumiya, S., & Takeuchi, N. (2002). Generic properties of helices and Bertrand curves.Journal of Geometry, 74(1-2),97-109.
  7. Babaarslan, M., & Yayli, Y. (2011). The characterizations of constant slope surfaces and Bertrand curves.InternationalJournal of the Physical Sciences, 6(8), 1868-1875.
  8. Uçum, A., Keçilioğlu, O., & İlarslan, K. (2015). Generalized Bertrand curves with timelike (1,3)-normal plane in Minkowskispace-time.Kuwait Journal of Science, 42(3), 10-27.
  9. O’Neill, B. (1983). Semi-Riemannian Geometry with applications to relativity. Academic Press Inc., London.
  10. Lucas, P., & Ortega-Yagues, J. A. (2013). Bertrand curves in non-flat 3-dimensional (Riemannian or Lorentzian) spaceforms.Bulletin of the Korean Mathematical Society, 50(4), 1109-1126.
  11. Çöken, A. C., & Görgülü A. (2009). On Joachimsthal’s theorems in semi-Euclidean spaces.Nonlinear Analysis: Theory, Methods & Applications, 70(11), 3932-3942.
  12. Ersoy, S., & Tosun, M. (2013). Timelike Bertrand curves in Semi-Euclidean space.International Journal of Mathematicsand Statistics, 14, 78-89.
  13. Hacısalihoğlu, H. H. (1980). Yüksek Diferansiyel Geometriye Giriş, Fırat Üniversitesi, Fen Fakültesi Yayınları, Elazığ.
  14. Lopez, R. (2014). Differential geometry of curves and surfaces in Lorentz Minkowski space.International Electronic Journal of Geometry, 7(1), 44-107.
  15. Balgetir, H., Bektas ̧, M., & Erg ̈ut, M. (2004). Bertrand curves for nonnull curves in 3-dimensional Lorentzian space. Hadronic Journal, 27(2), 229-236.
  16. İlarslan, K., Kılıc ̧, N. & Erdem, H. A. (2017). Osculating curves in 4-dimensional semi-Euclidean space with index 2.Open Mathematics, 15(1), 562-567.