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Dergiler / Journal of New Theory / 2022 / Sayı: 38

Timelike V-Bertrand Curves in Minkowski 3-Space $E_{1}^{3}$

Burhan BİLGİN
Çetin CAMCI
Sayfa
14–24
Yayın Tarihi
2022-03-31
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Finally, we discuss the results for further research.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper, the timelike V-Bertrand curve, a new type Bertrand curve in Minkowski 3-Space $E_{1}^{3}$, is characterized.
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Temel Bulgular & Veri:Based on the timelike V-Bertrand curve, the properties of the timelike T, N, and B Bertrand curves are obtained.
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Sonuç & Katkı:Finally, we discuss the results for further research.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Bertrand curves · V-Bertrand curves · Minkowski 3-space

Abstract

In this paper, the timelike V-Bertrand curve, a new type Bertrand curve in Minkowski 3-Space $E_{1}^{3}$, is characterized. Based on the timelike V-Bertrand curve, the properties of the timelike T, N, and B Bertrand curves are obtained. From the timelike V-Bertrand curve, f-Bertrand curves and Bertrand surfaces are defined. We support the existence of these new curves and surfaces with examples. Finally, we discuss the results for further research.

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Bu Makaleye Atıf Yap

BİLGİN, B., CAMCI, Ç. (2022). Timelike V-Bertrand Curves in Minkowski 3-Space $E_{1}^{3}$. Journal of New Theory, Sayı: 38, 14–24. https://ajindex.com/articles/681458

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Kaynakça (13)

  1. J. Bertrand, Memoire Sur La Theorie Des Courbes a Double Courbure, Journal de Mathématiques Pures et Appliquées 15 (1850) 332–350.
  2. J. A. Serret, Sur Quelquees Formules Relatives À La Thérie De Courbes À Double Courbure, Journal de Mathématiques Pures et Appliquées 16 (1851) 193-207.
  3. D. J. Struik, Lectures on Classical Differential Geometry, Dover Publications, 2nd Edition, 1950.
  4. S. Izumiya, N. Tkeuchi, Generic Properties of Helices and Bertrand Curves, Journal of Geometry 74 (1-2) (2002) 97–109.
  5. Ç. Camcı, A. Uçum, K. İlarslan, A New Approach to Bertrand Curves in Euclidean 3-space, Journal of Geometry 111 (3) (2020) 1–15.
  6. K. İlarslan, A. Uçum, N. Kılıç Aslan, E. Nešović, Note On Bertrand B-Pairs of Curves in Minkowski 3-Space, Honam Mathematical Journal 40 (3) (2018) 561–576.
  7. A. Uçum, O. Keçilioğlu, K. İlarslan, Generalized Bertrand Curves with Timelike (1,3)-normal Plane in Minkowski Space-time, Kuwait Journal of Science 42 (3) (2015) 10–27.
  8. H. Matsuda, S. Yorozu, Notes on Bertrand Curves, Yokohama Mathematical Journal 50 (2003) 41–58.
  9. P. Lucas, J. A. Ortega-Yagües, Bertrand Curves in the Three-dimensional Sphere, Journal of Geometry and Physics 62 (2012) 1903–1914.
  10. M. Dede, C. Ekici, İ. Arslan Güven, Directional Bertrand Curves, Journal of Science 31 (1) (2018) 202-2011.
  11. Ç. Camcı, On a New Type Bertrand Curve, (2020) pages 18. arXiv:2001.02298. B. Bilgin, V -Bertrand Curve Mates in Minkowski 3-Space, Master’s of Thesis, Çanakkale Onsekiz Mart University (2020)
  12. Çanakkale, Turkey. W. Kuhnel, Differential Geometry: Curves-Surfaces-Manifolds, Braunschweig, Wiesbaden, 1999.
  13. A. Uçum, K. İlarslan, On Timelike Bertrand Curves in Minkowski 3-Space, Honam Mathematical Journal 38 (3) (2016) 467–477.