Minkowski 4-Uzayında Null Eğrilerin W-Yönlü Eğrilerinin Karakterizasyonları Üzerine

Year 2022, Volume: 17 Issue: 1, 19 - 35, 27.05.2022

Arfah Arfah

https://doi.org/10.29233/sdufeffd.902130

Abstract

Bu makalede, Minkowski 4-uzayında null eğrilerin W-yönlü eğrilerinin basit karakterizasyonlarını inceliyoruz. İkinci bölümde, Minkowski 4-uzayında Frenet denklemleri ile eğrilerin temel kavramları verilmiştir. Üçüncü bölümde, Minkowski 4-uzayındaki null eğrilerinin temel normal yönü ve donör eğrileri tanımlanmış ve bunların basit karakterizasyonları da türetilmiştir. Dördüncü bölümde, null eğrilerin B_1 yönü ve donör eğrilerini tanımlıyoruz ve ayrıca temel özelliklerini gösteriyoruz. Son bölümde, null eğrilerin B_2 yönü ve donör eğrileri de tanımlanmış ve nedensel karakterizasyonları verilmiştir.

Keywords

Yön eğrisi, Donör eğrisi, Null eğrisi, Minkowski uzayı

On Characterizations of W-Directional Curves of Null Curves in Minkowski 4-Space

Abstract

In the present paper, we investigate the casual characterizations of W-directional curves of null curves in Minkowski 4-space. In section two, the basic concepts of curves with their Frenet equations in Minkowski 4-space are provided. In section three, the principal normal directional and donor curves of null curves in Minkowski 4-space are defined and their casual characterizations are also derived. In section four, we define the B_1 directional and donor curves of null curves and show their properties as well. In the last section, the B_2 directional and donor curves of null curves are also defined and their causal characterizations are provided.

Keywords

Directional curve, Donor curve, Null curve, Minkowski space

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