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Journals / Ordu Üniversitesi Bilim ve Teknoloji Dergisi / 2025 / Cilt: 15 Sayı: 2

Null Osculating Curves of Type (n-3) in Lorentzian n-Space

Lorentzian n-Uzayında Tip (n-3) Null Oskülatör Eğriler

Özgür Kalkan(AFYON KOCATEPE ÜNİVERSİTESİ, AFYON MESLEK YÜKSEKOKULU)0000-0003-1665-233X
Süleyman Şenyurt(ORDU UNIVERSITY, FACULTY OF ARTS AND SCIENCES)0000-0003-1097-5541
Pages
327–338
Publication Date
2025-12-27
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AI Summary & Key Takeaways

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

Moreover, alternative formulations for null osculating curves of type (n-3) using harmonic curvature functions in terms of B_n-2 are presented.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:This paper investigates the characterizations of null osculating curves of type (n-3) in Lorentzian n-space .
📊
Key Findings & Data:The necessary and sufficient conditions for a null curve to be null osculating curve of type (n-3) in E_1^n are examined.
💡
Conclusion & Impact:Moreover, alternative formulations for null osculating curves of type (n-3) using harmonic curvature functions in terms of B_n-2 are presented.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:null oskülatör eğriler · eğrilikler · harmonik eğrilik fonksiyonları

Abstract

This paper investigates the characterizations of null osculating curves of type (n-3) in Lorentzian n-space . The necessary and sufficient conditions for a null curve to be null osculating curve of type (n-3) in E_1^n are examined. The characterizations of these curves are obtained in terms of their curvature functions, and the relations between the curvatures required for a null curve to be a null osculating curve of type (n-3) are determined. Moreover, alternative formulations for null osculating curves of type (n-3) using harmonic curvature functions in terms of B_n-2 are presented.

Özet

Bu çalışmada Lorentzian n-uzayı E_1^n de tip (n-3) null osculatör eğrilerin karakterizasyonları araştırılmıştır. E_1^n de bir null eğrinin tip (n-3) null osculatör eğri olması için gerek ve yeter koşullar incelenmiştir. Bu eğrilerin karakterizasyonları eğrilik fonksiyonları cinsinden elde edilmiş ve bir null eğrinin tip (n-3) null oskülatör eğri olabilmesi için gereken eğrilikler arasındaki ilişkiler belirlenmiştir. Ayrıca, harmonik eğrilik fonksiyonları kullanılarak B_n-2 cinsinden tip (n-3) null oskülatör eğriler için alternatif bir formülasyon sunulmuştur.

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Cite This Article

Kalkan, Ö., Şenyurt, S. (2025). Null Osculating Curves of Type (n-3) in Lorentzian n-Space. Ordu Üniversitesi Bilim ve Teknoloji Dergisi, Cilt: 15 Sayı: 2, 327–338. https://doi.org/10.54370/ordubtd.1746044

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