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Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2026 / Volume: 68 Issue: 1

Smarandache Curves in three dimensional Lie groups

O. Zeki Okuyucu0000-0003-4379-0252
Caner Değirmen
Ö. Gökmen Yıldız0000-0002-2760-1223
Pages
—
Publication Date
2019-02-01
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AI Summary & Key Takeaways

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

Moreover, we give some relations between a helix or a slant helix curve and its Smarandache curve in three dimensional Lie groups.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we introduce special Smarandache curves and obtain Frenet apparatus of a Smarandache curve in three dimensional Lie groups with a bi-invariant metric.
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Key Findings & Data:In this paper, we introduce special Smarandache curves and obtain Frenet apparatus of a Smarandache curve in three dimensional Lie groups with a bi-invariant metric.
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Conclusion & Impact:Moreover, we give some relations between a helix or a slant helix curve and its Smarandache curve in three dimensional Lie groups.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Smarandache curves · Lie groups · helices.

Abstract

In this paper, we introduce special Smarandache curves and obtain Frenet apparatus of a Smarandache curve in three dimensional Lie groups with a bi-invariant metric. Moreover, we give some relations between a helix or a slant helix curve and its Smarandache curve in three dimensional Lie groups.

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Cite This Article

Okuyucu, O. Z., Değirmen, C., Yıldız, Ö. G. (2019). Smarandache Curves in three dimensional Lie groups. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 68 Issue: 1. https://doi.org/10.31801/cfsuasmas.511677

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