On characterizations of some special curves of timelike curves according to the Bishop frame of type-2 in Minkowski 3-space

Abstract

In this paper, first we give a characterization of timelike inclined curves according to the type-2 Bishop frame in Minkowski 3-space, and then define rectifying curves of timelike curves according to the type-2 Bishop frame in Minkowski 3-space as their position vectors always lie in the orthogonal complement Ω2⊥ of their vector field Ω2⊥. 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 E13 and express such curves in terms of their curvature functions.