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Journals / Konuralp Journal of Mathematics / 2020 / Cilt: 8 - Sayı: 1

Surface Family with a Common Natural Asymptotic or Geodesic Lift of a Spacelike Curve with Spacelike Binormal in Minkowski 3-Space

Evren ERGÜN
Ergin BAYRAM
Pages
7–13
Publication Date
2020-04-15
DOI
—
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AI Summary & Key Takeaways

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

Finally, we illustrate the method with some examples.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In the present paper, we find a surface family possessing the natural lift of a given spacelike curve with spacelike binormal as an asymptotic curve or geodesic in Minkowski 3-space.
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Key Findings & Data:We express necessary and sufficient conditions for the given curve such that its natural lift is an asymptotic curve or geodesic on any member of the surface family.
💡
Conclusion & Impact:Finally, we illustrate the method with some examples.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Surface family · asymptotic curve · geodesic

Abstract

In the present paper, we find a surface family possessing the natural lift of a given spacelike curve with spacelike binormal as an asymptotic curve or geodesic in Minkowski 3-space. We express necessary and sufficient conditions for the given curve such that its natural lift is an asymptotic curve or geodesic on any member of the surface family. Finally, we illustrate the method with some examples.

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Cite This Article

ERGÜN, E., BAYRAM, E. (2020). Surface Family with a Common Natural Asymptotic or Geodesic Lift of a Spacelike Curve with Spacelike Binormal in Minkowski 3-Space. Konuralp Journal of Mathematics, Cilt: 8 - Sayı: 1, 7–13. https://ajindex.com/articles/786450

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