Position Vectors of General Helices According to Type-2 Bishop Frame in E3

aykurt sepet, sezin; Ergüt, Mahmut; GÜN BOZOK, Hülya

Position Vectors of General Helices According to Type-2 Bishop Frame in E3

Hülya GÜN BOZOK, (Osmaniye Korkut Ata Üniversitesi, Matematik Bölümü, Osmaniye, Türkiye)

Sezin AYKURT SEPET, (Ahi Evran Üniversitesi, Matematik Bölümü, Kırşehir, Türkiye)

Mahmut ERGÜT (Namık Kemal Üniversitesi, Matematik Bölümü, Tekirdağ, Türkiye)

Mathematical Sciences and Applications E-Notes

1 0

Yıl: 2018 Cilt: 6 Sayı: 1 Sayfa Aralığı: 64 - 69 Metin Dili: İngilizce İndeks Tarihi: 22-03-2021

Position Vectors of General Helices According to Type-2 Bishop Frame in E3

Öz:

In this paper, we study the position vector of a general helix according to type-2 Bishop frame in the3-dimensional Euclidean space E3. Moreover we determine the natural representation of a general helixin E3.

Anahtar Kelime:

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık

[1] Ahmad, T.A., Position vectors of general helices in Euclidean 3-Space, Bull. Math. Anal. Appl., 3 (2011) no. 2, 198-205.
[2] Ahmad, T.A., Position vectors of slant helices in Euclidean 3-space, J. Egyp. Math. Soc., 20 (2012), 1-6.
[3] Barros, M., General helices and a theorem of Lancret, Proc. Am. Math. Soc., 125 (1997), 1503-1509.
[4] Bishop, L.R., There is more than one way to frame a curve, Am. Math. Monthly, 82 (1975) no. 3, 246-251.
[5] Chen, B.Y., Kim D.S., Kim Y.H., New characterizations of W-curves, Publ. Math. Debrecen, 69 (2006), 457-472.
[6] Chouaieb, N., Goriely, A., Maddocks, J.H. , Helices, PANS, 103 (2006), 9398-9403.
[7] Ilarslan, K., Boyacioglu, O., Position vectors of a space like W-curve in Minkowski space E3 1 , Bull. Korean Math. Soc., 44 (2007), 429-438.
[8] Lucas, A.A., Lambin, P., Diffraction by DNA, carbon nanotubes and other helical nanostructures, Rep. Prog. Phys., 68, 1181-1249, 2005.
[9] Ozyilmaz, E., Classical differential geometry of curves according to type-2 bishop trihedra, Math. Comput. Appl., 16 (2011) no. 4, 858-867.
[10] Oztekin, H. and Gun Bozok, H., Position vectors of admissible curves in 3-dimensional pseudo-Galilean space G1 3 , Int. Electron. J. Geom., 8 (2015) no. 1, 21-32.
[11] Struik, D.J., Lectures in Classical Differential Geometry, Addison,-Wesley, Reading, MA, 1961.
[12] Yilmaz, S. and Turgut, M., A new version of Bishop frame and an application to spherical images, J. Math. Anal. Appl., 371 (2010), 764-776.

APA	GÜN BOZOK H, aykurt sepet s, Ergüt M (2018). Position Vectors of General Helices According to Type-2 Bishop Frame in E3. , 64 - 69.
Chicago	GÜN BOZOK Hülya,aykurt sepet sezin,Ergüt Mahmut Position Vectors of General Helices According to Type-2 Bishop Frame in E3. (2018): 64 - 69.
MLA	GÜN BOZOK Hülya,aykurt sepet sezin,Ergüt Mahmut Position Vectors of General Helices According to Type-2 Bishop Frame in E3. , 2018, ss.64 - 69.
AMA	GÜN BOZOK H,aykurt sepet s,Ergüt M Position Vectors of General Helices According to Type-2 Bishop Frame in E3. . 2018; 64 - 69.
Vancouver	GÜN BOZOK H,aykurt sepet s,Ergüt M Position Vectors of General Helices According to Type-2 Bishop Frame in E3. . 2018; 64 - 69.
IEEE	GÜN BOZOK H,aykurt sepet s,Ergüt M "Position Vectors of General Helices According to Type-2 Bishop Frame in E3." , ss.64 - 69, 2018.
ISNAD	GÜN BOZOK, Hülya vd. "Position Vectors of General Helices According to Type-2 Bishop Frame in E3". (2018), 64-69.

APA	GÜN BOZOK H, aykurt sepet s, Ergüt M (2018). Position Vectors of General Helices According to Type-2 Bishop Frame in E3. Mathematical Sciences and Applications E-Notes, 6(1), 64 - 69.
Chicago	GÜN BOZOK Hülya,aykurt sepet sezin,Ergüt Mahmut Position Vectors of General Helices According to Type-2 Bishop Frame in E3. Mathematical Sciences and Applications E-Notes 6, no.1 (2018): 64 - 69.
MLA	GÜN BOZOK Hülya,aykurt sepet sezin,Ergüt Mahmut Position Vectors of General Helices According to Type-2 Bishop Frame in E3. Mathematical Sciences and Applications E-Notes, vol.6, no.1, 2018, ss.64 - 69.
AMA	GÜN BOZOK H,aykurt sepet s,Ergüt M Position Vectors of General Helices According to Type-2 Bishop Frame in E3. Mathematical Sciences and Applications E-Notes. 2018; 6(1): 64 - 69.
Vancouver	GÜN BOZOK H,aykurt sepet s,Ergüt M Position Vectors of General Helices According to Type-2 Bishop Frame in E3. Mathematical Sciences and Applications E-Notes. 2018; 6(1): 64 - 69.
IEEE	GÜN BOZOK H,aykurt sepet s,Ergüt M "Position Vectors of General Helices According to Type-2 Bishop Frame in E3." Mathematical Sciences and Applications E-Notes, 6, ss.64 - 69, 2018.
ISNAD	GÜN BOZOK, Hülya vd. "Position Vectors of General Helices According to Type-2 Bishop Frame in E3". Mathematical Sciences and Applications E-Notes 6/1 (2018), 64-69.