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 Omega 1/2 of their vector field Omega 1/2. 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 E-1(3) and express such curves in terms of their curvature functions.