TY  - JOUR
T1  - Some Characterizations of Constant Ratio Curves According to Type-2 Bishop Frame in Euclidean 3-space E^3
AU  - Bozok, Hülya Gün
AU  - Aykurt Sepet, Sezin
AU  - Ergüt, Mahmut
PY  - 2017
DA  - October
DO  - 10.36890/iejg.545054
JF  - International Electronic Journal of Geometry
JO  - Int. Electron. J. Geom.
PB  - Kazım İlarslan
WT  - DergiPark
SN  - 1307-5624
SP  - 67
EP  - 72
VL  - 10
IS  - 2
LA  - en
KW  - Position vector
KW  - type-2 Bishop fram
KW  - constant ratio curves
CR  - [1] Bishop, L. R., There is more than one way to frame a curve. Am. Math. Monthly, 82 (1975), no.3, 246-251.
CR  - [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.
CR  - [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.
CR  - [4] Chen, B. Y., Constant ratio hypersurfaces. Soochow J. Math., 28 (2001), 353-362.
CR  - [5] Chen, B. Y., More on convolution of Riemannian manifolds. Beitrage Algebra Geom., 44 (2003), no.1,9-24.
CR  - [6] Chen, B. Y., Geometry of position functions of Riemannian submanifolds in pseudo-Euclidean space. J. Geom., 74 (2002), 61-77.
CR  - [7] Gürpinar, S., Arslan, K. and Öztürk, G., A characterization of constant-ratio curves in Euclidean 3-space E3. (2014), arXiv:1410.5577.
CR  - [8] Kisi, I. and Öztürk, G., Constant ratio curves according to Bishop frame in Minkowski 3-space   Facta Universitatis(NIS), 30 (2015),no.4,
527-538.
CR  - [9] Ozyilmaz, E., Classical differential geometry of curves according to type-2 bishop trihedra. Mathematical and Computational Applications,
16 (2011),no.4, 858-867.
CR  - [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.
UR  - https://doi.org/10.36890/iejg.545054
L1  - https://dergipark.org.tr/en/download/article-file/680439
ER  -