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Journals / An International Journal of Optimization and Control: Theories & Applications (IJOCTA) / 2017 / Cilt: 7 - Sayı: 1

Canal surfaces in 4-dimensional Euclidean space

Betul BULCA
Kadri ARSLAN
Bengu BAYRAM
Günay ? OZTRK
Pages
83–89
Publication Date
2022-10-11
DOI
—
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AI Summary & Key Takeaways

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

At theend, we present the graphs of projections of canal surfaces inE3.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we study canal surfaces imbedded in 4-dimensional EuclideanspaceE4.
📊
Key Findings & Data:Some special canalsurface examples are constructed inE4.
💡
Conclusion & Impact:At theend, we present the graphs of projections of canal surfaces inE3.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this paper, we study canal surfaces imbedded in 4-dimensional EuclideanspaceE4. We investigate these surface curvature properties with respect to thevariation of the normal vectors and ellipse of curvature. Some special canalsurface examples are constructed inE4. Furthermore, we obtain necessary andsufficient condition for canal surfaces to become superconformal inE4. At theend, we present the graphs of projections of canal surfaces inE3.

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Cite This Article

BULCA, B., ARSLAN, K., BAYRAM, B., OZTRK, G. ?. (2022). Canal surfaces in 4-dimensional Euclidean space. An International Journal of Optimization and Control: Theories & Applications (IJOCTA), Cilt: 7 - Sayı: 1, 83–89. https://ajindex.com/articles/440670

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