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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
Finally, some properties of that kind parallel surfaces are obtained in Minkowski 3-space
📌 3 Key Takeaways
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Objective & Hypothesis:In this work, it is shown that parallel surfaces of spacelike ruled surfaces which are developable are spacelike ruled Weingarten surfaces.
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Key Findings & Data:It is also shown that parallel surfaces of non-developable ruled Weingarten surfaces are again Weingarten surfaces.
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Conclusion & Impact:Finally, some properties of that kind parallel surfaces are obtained in Minkowski 3-space
🔬Design:Makale
📍Scope:Comprehensive Sample
⚙️Variables:Spacelike Weingarten surface · parallel surface · spacelike ruled Weingarten surface
Abstract
In this work, it is shown that parallel surfaces of spacelike ruled surfaces which are developable are spacelike ruled Weingarten surfaces. It is also shown that parallel surfaces of non-developable ruled Weingarten surfaces are again Weingarten surfaces. Finally, some properties of that kind parallel surfaces are obtained in Minkowski 3-space
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Cite This Article
Ünlütürk, Y., Ekici, C. (2013). Parallel Surfaces of Spacelike Ruled Weingarten Surfaces in Minkowski 3-space. New Trends in Mathematical Sciences, Cilt: 1 Sayı: 1, 85–92. https://ajindex.com/articles/1657835