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Journals / Fundamental Journal of Mathematics and Applications / 2026 / Volume: 1 Issue: 1

Characterizations of slant and spherical helices due to pseudo-Sabban frame

Bülent Altunkaya
Levent Kula
Pages
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Publication Date
2018-06-30
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⚡ TL;DR(Too Long; Didn't Read)

In this paper, we investigate that under which conditions of the geodesic curvature of unit speed curve $\gamma$ that lies on $S_1^2$ or $H^2,$ the curve $\alpha$ which is obtained by using $\gamma$, is a spherical helix or slant helix in Minkowski 3-space.

📌 3 Key Takeaways

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Objective & Hypothesis:In this paper, we investigate that under which conditions of the geodesic curvature of unit speed curve $\gamma$ that lies on $S_1^2$ or $H^2,$ the curve $\alpha$ which is obtained by using $\gamma$, is a spherical helix or slant helix in Minkowski 3-space.
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Key Findings & Data:In this paper, we investigate that under which conditions of the geodesic curvature of unit speed curve $\gamma$ that lies on $S_1^2$ or $H^2,$ the curve $\alpha$ which is obtained by using $\gamma$, is a spherical helix or slant helix in Minkowski 3-space.
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Conclusion & Impact:In this paper, we investigate that under which conditions of the geodesic curvature of unit speed curve $\gamma$ that lies on $S_1^2$ or $H^2,$ the curve $\alpha$ which is obtained by using $\gamma$, is a spherical helix or slant helix in Minkowski 3-space.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Geodesic curvature · Sabban frame · Minkowski space

Abstract

In this paper, we investigate that under which conditions of the geodesic curvature of unit speed curve $\gamma$ that lies on $S_1^2$ or $H^2,$ the curve $\alpha$ which is obtained by using $\gamma$, is a spherical helix or slant helix in Minkowski 3-space.

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Cite This Article

Altunkaya, B., Kula, L. (2018). Characterizations of slant and spherical helices due to pseudo-Sabban frame. Fundamental Journal of Mathematics and Applications, Volume: 1 Issue: 1. https://doi.org/10.33401/fujma.412081

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References (15)

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