Geometry of the curves lying on dual lightlike cone

This thesis consists of six chapters. First section is introduction. In this section, literature review about conical curves, lightlike cone and some information about this thesis is given. In section two, preliminaries of Minkowski space is given. In section three, preliminaries of dual space and dual Lorentzian space are given. In section four, Asymptotic ortonormal frame of dual cone curve according to real parameter and dual arc lenght parameter are examined. Dual cone curvatures are found. Dual associated curves of the dual cone curve are found. In section five, Structure functions are defined. Dual representation formulas of dual cone curve and dual associated curve are determined by using dual structure functions. In section six, we have given the caharacterization of the curve lying on dual lightlike cone by using the dual structure functions and dual cone curvature function.