Smarandache Curves of Spacelike Anti-Salkowski Curve with a Timelike Principal Normal According to Frenet Frame

Öz

In this paper, we investigate the regular Smarandache curves obtained from the Frenet vectors of spacelike anti-Salkowski curve with a timelike principal normal. Firstly, we define Smarandache curves depending upon the anti-Salkowski curve. Later, the curvature and the torsion Frenet vectors of Smarandache curves are calculated. Finally, the Frenet apparatuses of the obtained Smarandache curves are expressed as Frenet vectors of the spacelike anti-Salkowski curve. We draw graphic of the obtained Smarandache curves and some related results are given.

Anahtar Kelimeler

• Minkowski space
• spacelike anti-Salkowski curve
• Mathematics

Frenet Çatısına Göre Timelike Normalli Spacelike Anti-Salkowski Eğrisinden Elde Edilen Smarandache Eğrileri

Öz

Bu çalışmada ilk olarak timelike normalli spacelike anti-Salkowski eğrisinin Frenet vektörlerinden elde edilen regüler Smarandache eğrileri tanımlandı. Daha sonra her bir Smarandache eğrisinin Frenet vektörleri, eğrilik ve torsiyonu hesaplandı. Son olarak elde edilen eğrilerin Frenet elemanları spacelike Salkowski eğrisinin Frenet elemanları cinsinden yazılarak grafikleri çizildi.Bu çalışmada ilk olarak timelike normalli spacelike anti-Salkowski eğrisinin Frenet vektörlerinden elde edilen regüler Smarandache eğrileri tanımlandı. Daha sonra her bir Smarandache eğrisinin Frenet vektörleri, eğrilik ve torsiyonu hesaplandı. Son olarak elde edilen eğrilerin Frenet elemanları spacelike Salkowski eğrisinin Frenet elemanları cinsinden yazılarak grafikleri çizildi.

Anahtar Kelimeler

• Minkowski uzayı
• spacelike anti-Salkowski eğri
• Matematik

Kaynakça

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