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Journals / Turkish Journal of Mathematics / 2011 / Cilt: 35 - Sayı: 3

Rotational embeddings in $Bbb{E}^4$ with pointwise 1-type gauss map

Betül BULCA
Kadri ARSLAN
Günay ÖZTÜRK
Bengü Kılıç BAYRAM
Young Ho KIM
Pages
493–499
Publication Date
2022-11-05
DOI
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AI Summary & Key Takeaways

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

Finally, we give necessary and sufficient conditions for the flat Ganchev-Milousheva rotational surface to have pointwise 1-type Gauss map.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In the present article we study the rotational embedded surfaces in $Bbb{E}^4$ .
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Key Findings & Data:Milousheva as a surface in $Bbb{E}^4$ .
💡
Conclusion & Impact:Finally, we give necessary and sufficient conditions for the flat Ganchev-Milousheva rotational surface to have pointwise 1-type Gauss map.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In the present article we study the rotational embedded surfaces in $Bbb{E}^4$ . The rotational embedded surface was first studied by G. Ganchev and V. Milousheva as a surface in $Bbb{E}^4$ . The Otsuki (non-round) sphere in $Bbb{E}^4$ is one of the special examples of this surface. Finally, we give necessary and sufficient conditions for the flat Ganchev-Milousheva rotational surface to have pointwise 1-type Gauss map.

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Cite This Article

BULCA, B., ARSLAN, K., ÖZTÜRK, G., BAYRAM, B. K., KIM, Y. H. (2022). Rotational embeddings in $Bbb{E}^4$ with pointwise 1-type gauss map. Turkish Journal of Mathematics, Cilt: 35 - Sayı: 3, 493–499. https://ajindex.com/articles/608447

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