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Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2011 / Cilt: 60 - Sayı: 1

ON SURFACE THEORY IN 3-DIMENSIONAL ALMOST CONTACT METRIC MANIFOLD

İsmail GÖK
Çetin CAMCI
Hilmi HACISALİHOGLU H.
Pages
49–58
Publication Date
2011-02-01
DOI
—
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AI Summary & Key Takeaways

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

Morever, we calculate the formulas of Gaussian and mean curvatures of a surface in R3 (−3) .

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we study surface theory in 3-dimensional almost contact metric manifolds by using cross product defined by Camcı [6] .
📊
Key Findings & Data:In this study, we have defined unit normal vector field of any surface in R3 (−3) and then, we investigate shape operator matrix of the surface.
💡
Conclusion & Impact:Morever, we calculate the formulas of Gaussian and mean curvatures of a surface in R3 (−3) .
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Sasakian manifold · contact manifold · surface theory

Abstract

In this paper, we study surface theory in 3-dimensional almost contact metric manifolds by using cross product defined by Camcı [6] . Camcı also studied the theory of curves using the new cross product on this manifolds. In this study, we have defined unit normal vector field of any surface in R3 (−3) and then, we investigate shape operator matrix of the surface. Morever, we calculate the formulas of Gaussian and mean curvatures of a surface in R3 (−3) .

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Cite This Article

GÖK, İ., CAMCI, Ç., H., H. H. (2011). ON SURFACE THEORY IN 3-DIMENSIONAL ALMOST CONTACT METRIC MANIFOLD. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Cilt: 60 - Sayı: 1, 49–58. https://ajindex.com/articles/747437

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References (9)

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