Pseudo Quaterniyonik Lorentzian Evolute and İnvolute Eğriler İçin Yeni Bir Yaklaşım

Year 2022, , 1369 - 1373, 01.10.2022

Müge Karadağ

https://doi.org/10.2339/politeknik.936090

Cited By: 1

Abstract

Bu çalışmada asıl amaç LQ^3 üzerindeki pseudo kuaterniyonik Lorentzian evolut-involut eğrilerini elde etmektir. Burada yapılması istenen, kuaterniyonları kullanarak 𝐿𝑄^4 deki kuaterniyonik time-like Lorentzian evolut-involut eğrilerini oluşturarak ve bu eğriler arasındaki bazı ilişkileri ortaya çıkarmaktır. Burada LQ^4 4-boyutlu Kuaterniyonik Lorenz Uzayını göstermektedir.

Keywords

Kuaterniyon uzayı, Lorentz uzayı, İkili işlem, Simerik bilineer form

A New Approach for the Pseudo-Quaternionic Lorentzian Evolute and Involute Curves

Abstract

In this study, the main purpose is to obtain pseudo quaternionic Lorentzian evolute-involute curves on L_Q^4. In fact the pseudo quaternion is a quaternion which has 3-dimension and its temporal part is ziro. So it has only vectoral part of the quaternions. Thus, if defined a pseudo-quaternionic curve on L_Q^4, then its quaternionic part is pseudo quaternion. What is meant to do here, to write out Lorentzian evolute-involute curves of the quaternionic time-like curves in L_Q^4 using quaternions and to reveal some relationships between these curves.

Keywords

Quaternion space, Lorentzian space, binary operation, symmetric bilinear form.

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