Some Characterizations of Constant Ratio Curves According to Type-2 Bishop Frame in Euclidean 3-space E

MAHMUT ERGÜT, Sezin Aykurt Sepet and; GÜN BOZOK, Hülya

Some Characterizations of Constant Ratio Curves According to Type-2 Bishop Frame in Euclidean 3-space E

HÜLYA GÜN BOZOK, (Corresponding Author)

Sezin Aykurt Sepet and MAHMUT ERGÜT (Corresponding Author)

International Electronic Journal of Geometry

1 0

Yıl: 2017 Cilt: 10 Sayı: 2 Sayfa Aralığı: 67 - 72 Metin Dili: İngilizce İndeks Tarihi: 29-07-2022

Some Characterizations of Constant Ratio Curves According to Type-2 Bishop Frame in Euclidean 3-space E

Öz:

In this paper, we study a twisted curve in the 3-dimensional Euclidean spaceE3as a curve whoseposition vector can be determined as linear combination of its type-2 Bishop frame. We researchthese curves according to their curvature functions. Moreover we obtain some results ofT-constantandN-constant type curves in the 3-dimensional Euclidean spaceE3.

Anahtar Kelime:

Konular: Matematik

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

[1] Bishop, L. R., There is more than one way to frame a curve. Am. Math. Monthly, 82 (1975), no.3, 246-251.
[2] Büyükkütük, S. and Öztürk, G., Constant ratio curves according to parallel transport frame in Euclidean 4-space E3 . Adv. New Trends in Math. Sciences, 4 (2015), 171-178.
[3] Büyükkütük, S. and Öztürk, G., Constant ratio curves according to Bishop frame in Euclidean 3-space E3 . Gen. Math. Notes, 28 (2015),no.1, 81-91.
[4] Chen, B. Y., Constant ratio hypersurfaces. Soochow J. Math., 28 (2001), 353-362.
[5] Chen, B. Y., More on convolution of Riemannian manifolds. Beitrage Algebra Geom., 44 (2003), no.1,9-24.
[6] Chen, B. Y., Geometry of position functions of Riemannian submanifolds in pseudo-Euclidean space. J. Geom., 74 (2002), 61-77.
[7] Gürpinar, S., Arslan, K. and Öztürk, G., A characterization of constant-ratio curves in Euclidean 3-space E3 . (2014), arXiv:1410.5577.
[8] Kisi, I. and Öztürk, G., Constant ratio curves according to Bishop frame in Minkowski 3-space E3 . Facta Universitatis(NIS), 30 (2015),no.4, 527-538.
[9] Ozyilmaz, E., Classical differential geometry of curves according to type-2 bishop trihedra. Mathematical and Computational Applications, 16 (2011),no.4, 858-867.
[10] 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, MAHMUT ERGÜT S (2017). Some Characterizations of Constant Ratio Curves According to Type-2 Bishop Frame in Euclidean 3-space E. , 67 - 72.
Chicago	GÜN BOZOK Hülya,MAHMUT ERGÜT Sezin Aykurt Sepet and Some Characterizations of Constant Ratio Curves According to Type-2 Bishop Frame in Euclidean 3-space E. (2017): 67 - 72.
MLA	GÜN BOZOK Hülya,MAHMUT ERGÜT Sezin Aykurt Sepet and Some Characterizations of Constant Ratio Curves According to Type-2 Bishop Frame in Euclidean 3-space E. , 2017, ss.67 - 72.
AMA	GÜN BOZOK H,MAHMUT ERGÜT S Some Characterizations of Constant Ratio Curves According to Type-2 Bishop Frame in Euclidean 3-space E. . 2017; 67 - 72.
Vancouver	GÜN BOZOK H,MAHMUT ERGÜT S Some Characterizations of Constant Ratio Curves According to Type-2 Bishop Frame in Euclidean 3-space E. . 2017; 67 - 72.
IEEE	GÜN BOZOK H,MAHMUT ERGÜT S "Some Characterizations of Constant Ratio Curves According to Type-2 Bishop Frame in Euclidean 3-space E." , ss.67 - 72, 2017.
ISNAD	GÜN BOZOK, Hülya - MAHMUT ERGÜT, Sezin Aykurt Sepet and. "Some Characterizations of Constant Ratio Curves According to Type-2 Bishop Frame in Euclidean 3-space E". (2017), 67-72.

APA	GÜN BOZOK H, MAHMUT ERGÜT S (2017). Some Characterizations of Constant Ratio Curves According to Type-2 Bishop Frame in Euclidean 3-space E. International Electronic Journal of Geometry, 10(2), 67 - 72.
Chicago	GÜN BOZOK Hülya,MAHMUT ERGÜT Sezin Aykurt Sepet and Some Characterizations of Constant Ratio Curves According to Type-2 Bishop Frame in Euclidean 3-space E. International Electronic Journal of Geometry 10, no.2 (2017): 67 - 72.
MLA	GÜN BOZOK Hülya,MAHMUT ERGÜT Sezin Aykurt Sepet and Some Characterizations of Constant Ratio Curves According to Type-2 Bishop Frame in Euclidean 3-space E. International Electronic Journal of Geometry, vol.10, no.2, 2017, ss.67 - 72.
AMA	GÜN BOZOK H,MAHMUT ERGÜT S Some Characterizations of Constant Ratio Curves According to Type-2 Bishop Frame in Euclidean 3-space E. International Electronic Journal of Geometry. 2017; 10(2): 67 - 72.
Vancouver	GÜN BOZOK H,MAHMUT ERGÜT S Some Characterizations of Constant Ratio Curves According to Type-2 Bishop Frame in Euclidean 3-space E. International Electronic Journal of Geometry. 2017; 10(2): 67 - 72.
IEEE	GÜN BOZOK H,MAHMUT ERGÜT S "Some Characterizations of Constant Ratio Curves According to Type-2 Bishop Frame in Euclidean 3-space E." International Electronic Journal of Geometry, 10, ss.67 - 72, 2017.
ISNAD	GÜN BOZOK, Hülya - MAHMUT ERGÜT, Sezin Aykurt Sepet and. "Some Characterizations of Constant Ratio Curves According to Type-2 Bishop Frame in Euclidean 3-space E". International Electronic Journal of Geometry 10/2 (2017), 67-72.