8-Boyutlu Oktoniyon Uzayında Reel Oktoniyonları Kullanarak Oktoniyonik Rektifiyan, Oskülatör ve Normal Eğrilerin Özelliklerinin Belirlenmesi

Year 2018, Volume: 11 Issue: 1, 31 - 46, 24.04.2018

Özcan Bektaş , Salim Yüce

Abstract

Bu çalışmada, 8-boyutlu oktoniyon uzayda, reel oktoniyonlarla, oktoniyonik rektifiyan, oskülatör ve normal

eğrilerin özelliklerinin nasıl belirlenebileceği konusu üzerine odaklanılmıştır. Öncelikle, oktoniyonlar cebirleri

ve 8-boyutlu oktoniyon uzayında oktoniyonik eğriler hakkında bazı bilgiler verilmiştir. Daha sonra 8-boyutlu

oktoniyon uzayda oktoniyonik rektifiyan, oskülatör ve normal eğrileri tanımlanmıştır. Son olarak, oktoniyonik

rektifiyan, oskülatör ve normal eğrilerin bazı karakterizasyonları elde edilmiştir.

Keywords

Oktoniyonik rektifiyan eğri, Oktoniyonik oskülatör eğri, Oktoniyonik normal eğri, Oktoniyon uzay

Determination of Properties of Octonionic Rectifying, Osculating and Normal Curves Using Real Octonions in 8-Dimensional Octonion Space

Abstract

In this study, we focus on the issue of how to determine properties of octonionic rectifying, osculating and

normal curves by means of real octonions in 8-dimensional octonion space. Firstly, we give some informations

about octonion algebras, and octonionic curves in 8-dimensional octonion space. After that, we define

octonionic rectifying, osculating and normal curves in 8-dimensional octonion space. Finally, we obtain some

characterizations of the octonionic rectifying, osculating and normal curves.

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octonionic rectifying, osculating and normal curves in 8-dimensional octonion space. Finally, we obtain some

characterizations of the octonionic rectifying, osculating and normal curves.

Keywords

Octonionic rectifying curve, Octonionic osculating curve, Octonionic normal curve, Octonion space

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