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Journals / Mathematical Sciences and Applications E-Notes / 2015 / Cilt: 3 - Sayı: 2

THE RULED SURFACES ACCORDING TO TYPE-2 BISHOP FRAME IN THE EUCLIDEAN 3-SPACE E^3

Melek MASAL
Ayşe Zeynep AZAK
Pages
74–83
Publication Date
2015-10-30
DOI
—
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AI Summary & Key Takeaways

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

Also the fundamental forms, geodesic curvatures, normal curvatures and geodesic torsions are calculated and some results are obtained.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:We have introduced the ruled surfaces which are generated from the type-2 Bishop vectors.
📊
Key Findings & Data:Then, we have calculated Gaussian curvatures, mean curvatures and integral invariants of these surfaces.
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Conclusion & Impact:Also the fundamental forms, geodesic curvatures, normal curvatures and geodesic torsions are calculated and some results are obtained.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Bishop frame · ruled surfaces · Euclidean 3-space

Abstract

We have introduced the ruled surfaces which are generated from the type-2 Bishop vectors. Then, we have calculated Gaussian curvatures, mean curvatures and integral invariants of these surfaces. Also the fundamental forms, geodesic curvatures, normal curvatures and geodesic torsions are calculated and some results are obtained.

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Cite This Article

MASAL, M., AZAK, A. Z. (2015). THE RULED SURFACES ACCORDING TO TYPE-2 BISHOP FRAME IN THE EUCLIDEAN 3-SPACE E^3. Mathematical Sciences and Applications E-Notes, Cilt: 3 - Sayı: 2, 74–83. https://ajindex.com/articles/690782

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References (1)

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