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Dergiler / 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
Sayfa
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Yayın Tarihi
2021-06-29
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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 Maddede Bu Makale

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Amaç & Hipotez: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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Temel Bulgular & Veri: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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Sonuç & Katkı: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.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

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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Kaynakça (12)

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  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.
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  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.