A NOTE ON SOME CHARACTERIZATIONS OF CURVES DUE TO BISHOP FRAME IN EUCLIDEAN PLANE E2
Öz
In this paper, we first obtain the differential equation characterizing position vector of a regular
curve in Euclidean plane 2 E . Then we study the special curves such as Smarandache curves,
curves of constant breadth due to the Bishop frame in Euclidean plane 2 E . We give some
characterizations of these special curves due to the Bishop frame in Euclidean plane 2 E .
AMS Subject Classification: 53A35, 53A40, 53B25
Anahtar Kelimeler
Kaynakça
- [1] A.T. Ali, Special Smarandache curves in the Euclidean space. Int J Math Comb 2:30-36 2010.
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- [3] M. Çetin, Y. Tuncer Y and M.K. Karacan, Smarandache curves according to Bishop frame in Euclidean 3-space, Gen. Math. Notes, 2014; 20: 50-56.
- [4] B.Y. Chen, When does the position vector of a space curve always lie in its rectifying plane?, Amer. Math. Monthly 110 (2003), 147-152.
- [5] L. Euler, De curvis triangularibus, Acta Acad. Petropol., 3-30, 1778 (1780).
- [6] Fujivara M (1914) On space curves of constant breadth. Tohoku Math J 5:179-184.
- [7] C. G. Gibson, Elementary geometry of differentiable curves. An undergraduate introduction. Cambridge University Press, Cambridge, 2001.
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Ayrıntılar
Birincil Dil
İngilizce
Konular
Mühendislik
Bölüm
Araştırma Makalesi
Yayımlanma Tarihi
25 Aralık 2016
Gönderilme Tarihi
10 Mart 2016
Kabul Tarihi
-
Yayımlandığı Sayı
Yıl 2016 Cilt: 2 Sayı: 2