SavedAdd your journal

Journals / Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi / 2019 / Cilt: 12 - Sayı: 3

The Slant Helices of The Timelike Normal Curves in Minkowski 3-Space According to N-Bishop Frame

Minkowski 3-Uzayında Timelike Normalli Eğrilerin N-Bishop Çatısına göre Slant Helisleri

Ayhan YILDIZ
Hatice KUŞAK SAMANCI
Pages
1454–1467
Publication Date
2022-10-11
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

In this study, some characterizations were obtained by giving the definition of slant helix according to the N-Bishop frame of a curve with timelike normal.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:If the normal vector field of a curve makes a constant angle with constant direction, this curve is defined as a slant helix.
📊
Key Findings & Data:If the normal vector field of a curve makes a constant angle with constant direction, this curve is defined as a slant helix.
💡
Conclusion & Impact:In this study, some characterizations were obtained by giving the definition of slant helix according to the N-Bishop frame of a curve with timelike normal.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

If the normal vector field of a curve makes a constant angle with constant direction, this curve is defined as a slant helix. In this study, some characterizations were obtained by giving the definition of slant helix according to the N-Bishop frame of a curve with timelike normal.

Özet

Bir eğrinin asli normal vektör alanı sabit doğrultuyla sabit açı yapıyorsa bu eğri slant helis olarak tanımlanır.Bu çalışmada timelike normalli bir eğrinin N-Bishop çatısına göre slant helis tanımı verilerek bazıkarakterizasyonlar elde edilmiştir.

🔖

Cite This Article

YILDIZ, A., SAMANCI, H. K. (2022). The Slant Helices of The Timelike Normal Curves in Minkowski 3-Space According to N-Bishop Frame. Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi, Cilt: 12 - Sayı: 3, 1454–1467. https://ajindex.com/articles/505472

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (15)

  1. Bishop, R.L. 1975. There is More than One Way to Frame a Curve. The American Mathematical Monthly, 82(3): 246-251.
  2. Bükcü, B., Karacan, M.K. 2008. Special Bishop Motion and Bishop Darboux Rotation Axis of The Space Curve, Journal of Dyn. Systems and Geo. Theories, 6(1): 27-34.
  3. Bükcü, B, Karacan, M.K. 2008. On the Slant Helices Accordıng to Bishop Frame of the Timelike Curve in Lorentzian Space, Tamkang J. of Mathematics, 39(3): 255-262.
  4. Bükcü, B., Karacan, M.K. 2008. Bishop Frame of the Spacelike Curve with a Spacelike Principal Normal in Minkowski 3-Space, Communications Faculte Science University Ankara Series A1 Mathematics Statistics, 57(1): 13-22.
  5. Bükcü, B., Karacan, M.K. 2009. The Slant Helices According to Bishop Frame, International J. of Computational and Mathematical Sciences, 3(2): 67-70.
  6. Bükcü, B., Karacan, M.K. 2010. Bishop Frame of the Spacelike Curve with a Spacelike Binormal in Minkowski 3- Space, Selçuk J. of Applied Mathematics, 11(1): 15-25.
  7. Bükcü, B., Karacan, M.K. 2013. The Slant Helices According to Bishop Frame of the Spacelike Curve in Lorentzian Space, Journal of Interdisciplinary Mathematics, 12(5), 691-700.
  8. Izumiya, S., Takeuchi, N. 2004. New Special Curves and Developable Surfaces, Turkish Journal of Mathematics, 28(2), 153-164.
  9. Karacan, M.K. 2008. Bishop Frame of the Timelike Curve in Minkowski 3- Space, SDÜ Fen Edebiyat Fakültesi Fen Dergisi, 3(1): 80-90.
  10. Keskin, O., Yaylı, Y. 2017. An Application of N-Bishop Frame to Spherical Images for Direction Curves, International Journal of Geometric Methods in Modern Physics, 14(11), 1750162. Kızıltuğ, S., Kaya, S., & Tarakçı, O. 2013. The Slant Helices According to Type-2 Bishop Frame in Euclidean 3- space. International Journal of Pure and Applied Mathematics, 85(2), 211-222.
  11. Samancı, H.K., Kocayiğit H. 2019. NBishop Darboux Vector of the Spacelike Curve with Spacelike Binormal, Thermal Science, 23(1), 353-360.
  12. Scofield, P.D. 1995. Curves of Constant Precession. The American Mathematical Monthly, 102(6): 531-537.
  13. Uzunoğlu, B., Gök İ., Yaylı, Y. 2016. A New Approach on Curves of Constant Precession, Applied Mathematics and Computation, 275: 317-323.
  14. Yılmaz, S., Turgut, M. 2010. A New Version of Bishop Frame and an Application to Spherical Images, J. of Mathematical Analysis and Applications, 371(2): 764-776.
  15. Yılmaz, S., Özyılmaz, E., Turgut, M. 2010. New Spherical Indicatrices and their Characterizations, An Saint. University Ovidius Constanta, 18(2): 337-354.