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Journals / Mugla Journal of Science and Technology / 2026 / Volume: 7 Issue: 1

NON-NULL NORMAL CURVES IN THE SEMI-EUCLIDEAN SPACE E2^4

Fatma Almaz(Fırat Üniversitesi)0000-0002-1060-7813
Mihriban Alyamac Kulahci(FIRAT UNIVERSITY)0000-0002-8621-5779
Pages
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Publication Date
2021-06-29
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AI Summary & Key Takeaways

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

In addition, some mathematical conditions are expressed for a curve given in four dimensional semi-Euclidean space E 2 4 to be a nun-null normal curve as theorems.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, the representation formulas of non-null curves are primarily expressed in four dimensional semi-Euclidean space E 2 4 and the non-null normal curves in E 2 4 are examined and some certain results of describing the nun-null normal curve are presented in detail in E_2^4.
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Key Findings & Data:In this study, the representation formulas of non-null curves are primarily expressed in four dimensional semi-Euclidean space E 2 4 and the non-null normal curves in E 2 4 are examined and some certain results of describing the nun-null normal curve are presented in detail in E_2^4.
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Conclusion & Impact:In addition, some mathematical conditions are expressed for a curve given in four dimensional semi-Euclidean space E 2 4 to be a nun-null normal curve as theorems.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:frenet frame · normal curve · Semi-Euclidean space E2 4

Abstract

In this study, the representation formulas of non-null curves are primarily expressed in four dimensional semi-Euclidean space E 2 4 and the non-null normal curves in E 2 4 are examined and some certain results of describing the nun-null normal curve are presented in detail in E_2^4. In addition, some mathematical conditions are expressed for a curve given in four dimensional semi-Euclidean space E 2 4 to be a nun-null normal curve as theorems.

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Cite This Article

Almaz, F., Kulahci, M. A. (2021). NON-NULL NORMAL CURVES IN THE SEMI-EUCLIDEAN SPACE E2^4. Mugla Journal of Science and Technology, Volume: 7 Issue: 1. https://doi.org/10.22531/muglajsci.852180

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References (12)

  1. Almaz, F., Külahcı, M.A., Bektaş, M., “The notes on rotational surfaces in Galilean space”, The Third International Conference on Computational Mathematics and Engineering, Girne, Cyprus, 2018.
  2. Almaz, F., Külahcı, M.A., “Ivolute-Evolute D-Curves in Minkowski 3-Space E_1^3”, Bol. Soc. Paran. Mat., 39(1), 147-156, 2021.
  3. Almaz, F., Külahcı, M.A., “The Helix and Slant Helices Generated by non-Degenerate Curves in M3(δ0)⊂E_2^4”, Turkish Journal of Science & Technology, 16(1), 113-117, 2021.
  4. Babadag, F., “On The Quaternionic Bertrand Curves in Semi-Euclidean 4-Space E_2^4," International J. Research in Engineering and Science, 4(5), 47-50, 2016.
  5. Grbovic, M., Nesovic, E., “Some relations between rectifying and normal curves in Minkowski 3-space”, Math. Commun., 17, 655-664, 2012.
  6. Ilarslan, K., Kılıc, N., Erdem, H.A., “Osculating curves in 4-dimensional Semi-Euclidean space with index 2,” Open Math., 15, 562-567, 2017.
  7. Ilarslan, K., “Spacelike Normal curves in Minkowski space E_1^3," Turk J. Math. 29, 53-63, 2015.
  8. Ilarslan, K., Nesovic, E., “Spacelike and Timelike Normal Curves in Minkowski Space-time," Publications de L’institut Mathematique J. 85(99), 111-118, 2009.
  9. Kuhnel, W., Differential geometry: curves-surfaces-manifolds, Braunschweig, Wiesbaden 1999.
  10. Kulahci, M., Almaz, F., “Some Characterizations of osculating Curves in the Lightlike Cone”, Bol. Soc. Paran. Math., 35(2), 39-48, 2017.
  11. Kulahci, M., Almaz, F., “New Classifications for Space-like Curves in the Null Cone”, Prespacetime Journal, 7(15), 2002-2014, 2016.
  12. O’Neill B, Semi-Riemannian Geometry with Applications to Relativity, Academic Press Inc., London, 1983.