ON CHARACTERIZATIONS OF SOME SPECIAL CURVES OF SPACELIKE CURVES ACCORDING TO THE TYPE-2 BISHOP FRAME IN MINKOWSKI 3-SPACE

Authors : Yasin ÜNLÜTÜRK

Pages : 78-93

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Publication Date : 2016-01-08

Article Type : Research Paper

Abstract :In this paper, first we give a characterization of spacelike inclined curves according to the type-2 Bishop frame in Minkowski 3-space, and then define rectifying curves of  spacelike curves according to the type-2 Bishop frame in Minkowski 3-space as their position vectors always lie in the orthogonal complement  of their vector field . Moreover we characterize Bertrand curves in the same space via the new frame. In particular, we study Mannheim partner curves according to type-2 Bishop frame in  and express such curves in terms of their curvature functions.
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