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Journals / International Electronic Journal of Geometry / 2019 / Cilt: 12 - Sayı: 2

Shape Operator via Darboux Frame Curvatures and Its Applications

Mustafa DÜLDÜL
Bahar UYAR DÜLDÜL
Pages
182–187
Publication Date
2022-10-18
DOI
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AI Summary & Key Takeaways

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

By using the obtained

📌 3 Key Takeaways

🎯
Objective & Hypothesis:We present the shape operator’s matrix of a surface along a surface curve.
📊
Key Findings & Data:We present the shape operator’s matrix of a surface along a surface curve.
💡
Conclusion & Impact:By using the obtained
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Shape operator · Darboux frame · curvature

Abstract

We present the shape operator’s matrix of a surface along a surface curve. By using the obtained

🔖

Cite This Article

DÜLDÜL, M., DÜLDÜL, B. U. (2022). Shape Operator via Darboux Frame Curvatures and Its Applications. International Electronic Journal of Geometry, Cilt: 12 - Sayı: 2, 182–187. https://ajindex.com/articles/539634

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References (4)

  1. Gray, A., Abbena, E. and Salamon, S., Modern differential geometry of curves and surfaces with Mathematica, 3rd Edition, Chapman Hall CRC, 2006
  2. O’Neill, B., Elementary Differential Geometry, Academic Press, 1966
  3. Uyar Düldül, B. and Çalışkan, M., On the geodesic torsion of a tangential intersection curve of two surfaces in R3. Acta Math. Univ. Comenian. 82 (2013), 177-189
  4. Ye, X. and Maekawa, T., Differential geometry of intersection curves of two surfaces. Comput. Aided Geom. Design 16 (1999), 767-788.