Spacelike – timelike involute – evolute curve couple on dual Lorentzian space

Abstract

In this paper, we have defined the involute curves of the dual timelike curve M_1 in dual Lorentzian space, D_1^3. We have seen that the dual involute curve M_2 must be a dual spacelike curve with a dual spacelike (or timelike) binormal vector. The relationship between the Frenet frames of the spacelike – timelike involute – evolute dual curve couple have been found and some new characterizations related to the couple of the  dual curve have been given.