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Journals / International Electronic Journal of Geometry / 2023 / Cilt: 16 Sayı: 1

An Investigation of Timelike Aminov Surface with respect to its Gauss Map in Minkowski Space-time

Sezgin BÜYÜKKÜTÜK
Pages
171–180
Publication Date
2023-04-30
DOI
—
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AI Summary & Key Takeaways

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

Further, we yield the conditions of having pointwise one type Gauss map of second kind.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this work, we handle timelike Aminov surfaces in E_1^4 with respect to having pointwise one type Gauss map.
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Key Findings & Data:Then, we obtain that there is no timelike Aminov surface having harmonic Gauss map and also pointwise one type Gauss map of first kind in Minkowski 4-space.
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Conclusion & Impact:Further, we yield the conditions of having pointwise one type Gauss map of second kind.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Aminov surface · Gauss map · Minkowski 4-space

Abstract

In this work, we handle timelike Aminov surfaces in E_1^4 with respect to having pointwise one type Gauss map. Firstly, we get the laplace of Gauss map of this type of surface. Then, we obtain that there is no timelike Aminov surface having harmonic Gauss map and also pointwise one type Gauss map of first kind in Minkowski 4-space. Further, we yield the conditions of having pointwise one type Gauss map of second kind.

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Cite This Article

BÜYÜKKÜTÜK, S. (2023). An Investigation of Timelike Aminov Surface with respect to its Gauss Map in Minkowski Space-time. International Electronic Journal of Geometry, Cilt: 16 Sayı: 1, 171–180. https://ajindex.com/articles/929608

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References (13)

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