R^4_2 deki Timelike Eğrilerin Karakterizasyonları Üzerine

Year 2019, Volume: 9 Issue: 2, 342 - 351, 30.12.2019

Müslüm Aykut Akgün

https://doi.org/10.37094/adyujsci.493589

https://izlik.org/JA29AZ95NP

Abstract

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. 

On The Characterizations of Timelike Curves in R^4_2

https://izlik.org/JA29AZ95NP

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.

Keywords

Timelike curve , Frenet frame , Semi-Euclidean Space

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