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Journals / Hacettepe Journal of Mathematics and Statistics / 2013 / Cilt: 42 - Sayı: 6

ON THE PARALLEL SURFACES IN GALILEAN SPACE

Mustafa DEDE
Cumali EKİCİ
A. Ceylan ÇÖKEN
Pages
605–615
Publication Date
2022-10-18
DOI
—
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AI Summary & Key Takeaways

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

Consequently, we obtained Gauss curvature and mean curvatureof parallel surface in terms of those curvatures of the base surface.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, first of all, the definition of parallel surfaces in Galileanspace is given.
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Key Findings & Data:Then, the relationship between the curvatures of theparallel surfaces in Galilean space is determined.
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Conclusion & Impact:Consequently, we obtained Gauss curvature and mean curvatureof parallel surface in terms of those curvatures of the base surface.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Parallel surfaces · Surface curvature · Galilean space

Abstract

In this paper, first of all, the definition of parallel surfaces in Galileanspace is given. Then, the relationship between the curvatures of theparallel surfaces in Galilean space is determined. Moreover, the firstand second fundamental forms of parallel surfaces are found in Galileanspace. Consequently, we obtained Gauss curvature and mean curvatureof parallel surface in terms of those curvatures of the base surface.

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Cite This Article

DEDE, M., EKİCİ, C., ÇÖKEN, A. C. (2022). ON THE PARALLEL SURFACES IN GALILEAN SPACE. Hacettepe Journal of Mathematics and Statistics, Cilt: 42 - Sayı: 6, 605–615. https://ajindex.com/articles/530410

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