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Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2021 / Volume: 70 Issue: 2

Hypersurface families with Smarandache curves in Galilean 4-space

Mustafa Altın(BINGOL UNIVERSITY)0000-0001-5544-5910
Ahmet Kazan(TURGUT OZAL UNIVERSITY)0000-0002-1959-6102
Hacı Bayram Karadağ(INONU UNIVERSITY)0000-0001-6474-877X
Pages
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Publication Date
2021-12-31
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AI Summary & Key Takeaways

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

Also, we investigate three types of marching-scale functions for one of these hypersurfaces and construct an example for it.

📌 3 Key Takeaways

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Objective & Hypothesis:In this paper, we study the hypersurface families with Smarandache curves in 4-dimensional Galilean space G 4 and give the conditions for different Smarandache curves to be parameter and the curve which generates the Smarandache curves is geodesic on a hypersurface in G 4 .
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Key Findings & Data:In this paper, we study the hypersurface families with Smarandache curves in 4-dimensional Galilean space G 4 and give the conditions for different Smarandache curves to be parameter and the curve which generates the Smarandache curves is geodesic on a hypersurface in G 4 .
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Conclusion & Impact:Also, we investigate three types of marching-scale functions for one of these hypersurfaces and construct an example for it.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Smarandache curve · hypersurface family · geodesic curve

Abstract

In this paper, we study the hypersurface families with Smarandache curves in 4-dimensional Galilean space G 4 and give the conditions for different Smarandache curves to be parameter and the curve which generates the Smarandache curves is geodesic on a hypersurface in G 4 . Also, we investigate three types of marching-scale functions for one of these hypersurfaces and construct an example for it.

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Cite This Article

Altın, M., Kazan, A., Karadağ, H. B. (2021). Hypersurface families with Smarandache curves in Galilean 4-space. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 70 Issue: 2. https://doi.org/10.31801/cfsuasmas.794779

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