Timelike – spacelike involute – evolute curve couple on dual Lorentzian space

Abstract

In this paper, Firstly we have defined the involute curves of the dual spacelike curve with a dual spacelike binormal in dual Lorentzian space . We have seen that the dual involute  curve  must be a dual timelike vector. Secondly, the relationship between the Frenet frames of couple of the timelike –spacelike involute – evolute dual curve has been found and finally some new characterizations  related to the couple of the  dual curve has been given.