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Journals / Adıyaman Üniversitesi Fen Bilimleri Dergisi / 2019 / Cilt: 9 Sayı: 2

On The Characterizations of Timelike Curves in R^4_2

R^4_2 deki Timelike Eğrilerin Karakterizasyonları Üzerine

Müslüm Aykut Akgün(ADIYAMAN ÜNİVERSİTESİ, MESLEK YÜKSEKOKULU)
Pages
342–351
Publication Date
2019-12-30
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AI Summary & Key Takeaways

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

We gave the position vectors of timelike curves in terms of curvature functions which lie on the three dimensional subspaces of R^4_2 .

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper by establishing the Frenet frame {T,N,B_1,B_2} for a timelike curve we study the different position vectors of timelike curves in Semi-Euclidean space R^4_2 .
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Key Findings & Data:In this paper by establishing the Frenet frame {T,N,B_1,B_2} for a timelike curve we study the different position vectors of timelike curves in Semi-Euclidean space R^4_2 .
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Conclusion & Impact:We gave the position vectors of timelike curves in terms of curvature functions which lie on the three dimensional subspaces of R^4_2 .
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:Timelike curve · Frenet frame · Semi-Euclidean Space

Abstract

In this paper by establishing the Frenet frame {T,N,B_1,B_2} for a timelike curve we study the different position vectors of timelike curves in Semi-Euclidean space R^4_2 . We gave the position vectors of timelike curves in terms of curvature functions which lie on the three dimensional subspaces of R^4_2 .

Özet

Bu çalışmada R^4_2 semi-Öklidyen uzayda bir timelike eğrinin farklı yer vektörleri {T, N, B_1, B_2 }Frenet çatısı kullanılarak çalışılmıştır. R^4_2 uzayının 3-boyutlu alt uzaylarında yatan timelike eğrilerin yer vektörleri araştırılmış ve bu yer vektörleri eğrinin eğrilik fonksiyonları türünden ifade edilmiştir.

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Cite This Article

Akgün, M. A. (2019). On The Characterizations of Timelike Curves in R^4_2. Adıyaman Üniversitesi Fen Bilimleri Dergisi, Cilt: 9 Sayı: 2, 342–351. https://doi.org/10.37094/adyujsci.493589

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