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Journals / Manas Journal of Engineering / 2022 / Cilt: 10 - Sayı: 1

Generalized fermi derivative on the hypersurfaces

Ayşenur UÇAR
Fatma KARAKUŞ
Pages
110–115
Publication Date
2022-06-30
DOI
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AI Summary & Key Takeaways

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

Generalizations have been made in Eⁿ.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, generalized Fermi derivative, generalized Fermi parallelism, and generalized non-rotating frame concepts are given along any curve on any hypersurface in Eⁿ⁺¹ Euclidean space.
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Key Findings & Data:The generalized Fermi derivative of a vector field and being generalized non-rotating conditions are analyzed along the curve on the surface in Euclidean 3-space.
💡
Conclusion & Impact:Generalizations have been made in Eⁿ.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:generalized Fermi derivative · generalized Fermi parallelism · generalized non-rotating frame

Abstract

In this paper, generalized Fermi derivative, generalized Fermi parallelism, and generalized non-rotating frame concepts are given along any curve on any hypersurface in Eⁿ⁺¹ Euclidean space. The generalized Fermi derivative of a vector field and being generalized non-rotating conditions are analyzed along the curve on the surface in Euclidean 3-space. Then a correlation is found between generalized Fermi derivative, Fermi derivative, and Levi-Civita derivative in E³. Then we examine generalized Fermi parallel vector fields and conditions of being generalized non-rotating frame with the tensor field in E⁴. Generalizations have been made in Eⁿ.

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Cite This Article

UÇAR, A., KARAKUŞ, F. (2022). Generalized fermi derivative on the hypersurfaces. Manas Journal of Engineering, Cilt: 10 - Sayı: 1, 110–115. https://ajindex.com/articles/687218

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