Frenet Çatısına Göre Spacelike Normalli Spacelike Salkowski Eğrisinden Elde Edilen Smarandache Eğrileri
Öz
Bu çalışmada ilk olarak spacelike normalli spacelike 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
Kaynakça
- [1] Salkowski, E. (1909). Zur Transformation von Raumkurven, Math. Ann., 66, 517-557.
- [2] Monterde, J. (2009). Salkowski curves revisited: A family of curves with constant curvature and non-constant torsion, Computer Aided Geometric Design, 26(3), 271- 278.
- [3] Turgut, M. and Yılmaz, S. (2008). Smarandache Curves in Minkowski Spacetime, International J.Math. Combin., 3, 51-55.
- [4] Turgut, M. and Yılmaz, S. (2008) On the Differential Geometry of the curves in Minkowski spacetime I, Int. J. Contemp. Math. Sci. 3(27), 1343-1349.
- [5] Şenyurt, S. and Sivas, S. (2013). An Application of Smarandache Curve, University of Ordu Journal of Science and Technology, 3(1), 46-60.
- [6] Bektaş, Ö. and Yüce, S. (2013) Special Smarandache Curves According to Darboux Frame in Euclidean 3-Space, Romanian Journal of Mathematics and Computer sciencel, 3(1), 48-59.
- [7] Çetin, M. Tuncer, Y. and Karacan, M.K. (2014) Smarandache Curves According to Bishop Frame in Euclidean 3-Space, Gen. Math. Notes, 20, 50-66.
- [8] Taşköprü, K. and Tosun, M. (204) Smarandache Curves on , Boletim da Sociedade Paranaense de Matematica 3 Srie.,32(1), 51-59.
Ayrıntılar
Birincil Dil
İngilizce
Konular
Mühendislik
Bölüm
Araştırma Makalesi
Yayımlanma Tarihi
28 Şubat 2020
Gönderilme Tarihi
11 Temmuz 2019
Kabul Tarihi
21 Şubat 2020
Yayımlandığı Sayı
Yıl 2020 Cilt: 13 Sayı: ÖZEL SAYI I
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