scholarly journals Dual Curves of Constant Breadth According to Bishop Frame in Dual Euclidean Space

2016 ◽  
Vol 5 (1) ◽  
pp. 75-78
Author(s):  
S�ha Yılmaz ◽  
�mit Ziya Savcı
Keyword(s):  
Euclidean Space ◽  
Bishop Frame ◽  
Constant Breadth

Timelike Curves of Constant Breadth According to Bishop Frame in Minkowski 3-Space

2017 ◽  
Vol 41 (1) ◽  
pp. 45-49 ◽  
Author(s):  
Hüseyin Kocayiğit ◽  
Muhammed Çetin ◽  
Mehmet Çetin Evirgen
Keyword(s):  
Bishop Frame ◽  
Constant Breadth

Relation between Darboux and type-2 Bishop frames in Euclidean space

2016 ◽  
Vol 13 (07) ◽  
pp. 1650101 ◽  
Author(s):  
Amine Yilmaz ◽  
Emin Özyilmaz
Keyword(s):  
Euclidean Space ◽  
Transition Matrix ◽  
Geodesic Curvature ◽  
Spherical Image ◽  
Darboux Vector ◽  
Bishop Frame ◽  
Spherical Images

In this work, we investigate relationships between Darboux and type-2 Bishop frames in Euclidean space. Then, we obtain the geodesic curvature of the spherical image curve of the Darboux vector of the type-2 Bishop frame. Also, we give transition matrix between the Darboux and type-2 Bishop frames of the type-2 Bishop frames of the spherical images of the edges [Formula: see text] and [Formula: see text]. Finally, we express some interesting relations and illustrate of the examples by the aid Maple programe.

scholarly journals Dual Curves of Constant Breadth in Dual Euclidean Space ${D}^{3}$

2016 ◽  
Vol 4 (3) ◽  
pp. 99-99
Author(s):  
Huseyin Kocayigit ◽  
Nihal Erten
Keyword(s):  
Euclidean Space ◽  
Constant Breadth

Generalized Fermi–Walker derivative and non-rotating frame

2017 ◽  
Vol 14 (09) ◽  
pp. 1750131 ◽  
Author(s):  
Ayşenur Uçar ◽  
Fatma Karakuş ◽  
Yusuf Yaylı
Keyword(s):  
Euclidean Space ◽  
Frenet Frame ◽  
Rotating Frame ◽  
Planar Curves ◽  
Bishop Frame ◽  
Darboux Frame ◽  
Rotating Frames

In this paper, generalized Fermi–Walker derivative, generalized Fermi–Walker parallelism and generalized non-rotating frame concepts are given for Frenet frame, Darboux frame and Bishop frame for any curve in Euclidean space. Being generalized, non-rotating frame conditions are analyzed for each frames along the curve. Then we show that Frenet and Darboux frames are generalized non-rotating frames along all curves and also Bishop frame is generalized non-rotating frame along planar curves in Euclidean space.

scholarly journals Curves of constant breadth according to type-2 bishop frame in E3

2017 ◽  
Vol 66 (1) ◽  
pp. 206-212
Author(s):  
GÜN BOZOK ◽  
Hülya; Hülya; ◽  
Sezin; ERGÜT ◽  
Mahmut Mahmut
Keyword(s):  
Bishop Frame ◽  
Constant Breadth
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