On Bisector Surface in Minkowski Space

Abstract

In this paper, we study bisector surfaces of some special curves in Minkowski 3-space. First, we give properties and the basic concepts of curves in E³₁. Then, we construct bisector surface generated by pedal and parallel curves of given timelike curve in E³₁. Moreover, we show how to generate the this surface. Finally, we give an example of these surfaces in E³₁.