Journals / Turkish Journal of Science / 2023 / Cilt: 8 Sayı: 1

Non-null Translation-Homothetical Surfaces in four-dimensional Minkowski Space

Pages
1–10
Publication Date
2023-05-03
DOI
—
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AI Summary & Key Takeaways

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

Using these concepts, we characterize non-null semiumbilical, minimal and flat translation-homothetical surfaces in E_1^4.

📌 3 Key Takeaways

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Objective & Hypothesis:In the present work, we deal with non-null translation-homothetical surfaces in Minkowski 4-space.
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Key Findings & Data:Then, we yield the normal curvature, mean curvature vector and Gaussian curvature functions.
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Conclusion & Impact:Using these concepts, we characterize non-null semiumbilical, minimal and flat translation-homothetical surfaces in E_1^4.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:homothetical surface · non-null surface · translation surface

Abstract

In the present work, we deal with non-null translation-homothetical surfaces in Minkowski 4-space. Initially, we describe non-null TH-type surface (Translation-Homothetical surface). Then, we yield the normal curvature, mean curvature vector and Gaussian curvature functions. Using these concepts, we characterize non-null semiumbilical, minimal and flat translation-homothetical surfaces in E_1^4.

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Cite This Article

BÜYÜKKÜTÜK, S., ÖZTÜRK, G. (2023). Non-null Translation-Homothetical Surfaces in four-dimensional Minkowski Space. Turkish Journal of Science, Cilt: 8 Sayı: 1, 1–10. https://ajindex.com/articles/938095

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References (1)

  1. Aminov YA. Surfaces in E4 with a Gaussian curvature coinciding with a Gaussian torsion up to sign. Mathematical Notes. 56, 1994, 1211 – 1215.