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Journals / Fundamental Journal of Mathematics and Applications / 2022 / Cilt: 5 Sayı: 3

Generalized Bertrand and Mannheim Curves in 3D Lie Groups

Osman Zeki OKUYUCU
Bahar DOĞAN YAZICI
Pages
201–209
Publication Date
2022-09-23
DOI
—
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AI Summary & Key Takeaways

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

In this way, some conditions including the known results have been given for a curve to be Bertrand or Mannheim curve in $3D$ Euclidean space and in $3D$ Lie groups.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we give a new approach for Bertrand and Mannheim curves in $3D$ Lie groups with bi-invariant metrics.
📊
Key Findings & Data:In this paper, we give a new approach for Bertrand and Mannheim curves in $3D$ Lie groups with bi-invariant metrics.
💡
Conclusion & Impact:In this way, some conditions including the known results have been given for a curve to be Bertrand or Mannheim curve in $3D$ Euclidean space and in $3D$ Lie groups.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Generalized Bertrand curves · Generalized Mannheim curves · Helix

Abstract

In this paper, we give a new approach for Bertrand and Mannheim curves in $3D$ Lie groups with bi-invariant metrics. In this way, some conditions including the known results have been given for a curve to be Bertrand or Mannheim curve in $3D$ Euclidean space and in $3D$ Lie groups.

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Cite This Article

OKUYUCU, O. Z., YAZICI, B. D. (2022). Generalized Bertrand and Mannheim Curves in 3D Lie Groups. Fundamental Journal of Mathematics and Applications, Cilt: 5 Sayı: 3, 201–209. https://ajindex.com/articles/905664

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