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Journals / TWMS Journal of Applied and Engineering Mathematics / 2013 / Volume: 3 Issue: 2

ON PARALLEL SURFACES IN MINKOWSKI 3-SPACE

Yasin Unluturk(Department of Mathematics, Kırklareli University, 39060, Kırklareli, TURKEY)
Erdal Ozusaglam(Department of Mathematics, Aksaray University, 68100, Aksaray, TURKEY.)
Pages
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Publication Date
2013-12-01
DOI
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AI Summary & Key Takeaways

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

Finally we show that how a curve which is geodesic on M become again a geodesic on parallel surface Mr by the normal map in Minkowski 3-space.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we study on some properties of parallel surfaces in Minkowski 3-space.
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Key Findings & Data:The results given in this paper were given in Euclidean space by [7, 8].
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Conclusion & Impact:Finally we show that how a curve which is geodesic on M become again a geodesic on parallel surface Mr by the normal map in Minkowski 3-space.
🔬Design:Article
📍Scope:Comprehensive Sample
⚙️Variables:parallel surfaces · fundamental forms · geodesic curve

Abstract

In this paper, we study on some properties of parallel surfaces in Minkowski 3-space. The results given in this paper were given in Euclidean space by [7, 8]. By using these two former studies, we show these properties in Minkowski 3-space. Also we give the relation among the fundamental forms of parallel surfaces in Minkowski 3-space. Finally we show that how a curve which is geodesic on M become again a geodesic on parallel surface Mr by the normal map in Minkowski 3-space.

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Cite This Article

Unluturk, Y., Ozusaglam, E. (2013). ON PARALLEL SURFACES IN MINKOWSKI 3-SPACE. TWMS Journal of Applied and Engineering Mathematics, Volume: 3 Issue: 2. https://ajindex.com/articles/1604674

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References (14)

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