✨
AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
In this paper we define non-null Mannheim partner curves in three dimensional dual Lorentzian space D 3 1, and obtain necessary and sufficient conditions for the existence of non-null Mannheim partner curves in dual Lorentzian space D 3 1.
📌 3 Key Takeaways
🎯
Objective & Hypothesis:In this paper we define non-null Mannheim partner curves in three dimensional dual Lorentzian space D 3 1, and obtain necessary and sufficient conditions for the existence of non-null Mannheim partner curves in dual Lorentzian space D 3 1.
📊
Key Findings & Data:In this paper we define non-null Mannheim partner curves in three dimensional dual Lorentzian space D 3 1, and obtain necessary and sufficient conditions for the existence of non-null Mannheim partner curves in dual Lorentzian space D 3 1.
💡
Conclusion & Impact:In this paper we define non-null Mannheim partner curves in three dimensional dual Lorentzian space D 3 1, and obtain necessary and sufficient conditions for the existence of non-null Mannheim partner curves in dual Lorentzian space D 3 1.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Mannheim partner curve · Dual Lorentzian space · Dual Lorentzian space curve
Abstract
In this paper we define non-null Mannheim partner curves in three dimensional dual Lorentzian space D 3 1, and obtain necessary and sufficient conditions for the existence of non-null Mannheim partner curves in dual Lorentzian space D 3 1.
Keywords
🔖
Cite This Article
Özkaldı, S., İlarslan, K., Yaylı, Y. (2011). ON MANNHEIM PARTNER CURVES IN DUAL LORENTZIAN SPACE. Hacettepe Journal of Mathematics and Statistics, Volume: 40 Issue: 5. https://ajindex.com/articles/1403602