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

Bu çalışmada, 8-boyutlu oktoniyon uzayda, reel oktoniyonlarla, oktoniyonik rektifiyan, oskülatör ve normaleğrilerin özelliklerinin nasıl belirlenebileceği konusu üzerine odaklanılmıştır. Öncelikle, oktoniyonlar cebirlerive 8-boyutlu oktoniyon uzayında oktoniyonik eğriler hakkında bazı bilgiler verilmiştir. Daha sonra 8-boyutluoktoniyon uzayda oktoniyonik rektifiyan, oskülatör ve normal eğrileri tanımlanmıştır. Son olarak, oktoniyonikrektifiyan, oskülatör ve normal eğrilerin bazı karakterizasyonları elde edilmiştir.

Anahtar Kelimeler:

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

In this study, we focus on the issue of how to determine properties of octonionic rectifying, osculating andnormal curves by means of real octonions in 8-dimensional octonion space. Firstly, we give some informationsabout octonion algebras, and octonionic curves in 8-dimensional octonion space. After that, we defineoctonionic rectifying, osculating and normal curves in 8-dimensional octonion space. Finally, we obtain somecharacterizations of the octonionic rectifying, osculating and normal curves.octonionic rectifying, osculating and normal curves in 8-dimensional octonion space. Finally, we obtain somecharacterizations of the octonionic rectifying, osculating and normal curves.

Keywords:

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

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