In this thesis,we study null helices and null slant helices in Minkowski 3-space and the properties of the developable surface associated with them.In chapter one,we study null helices and give a method to construct a null helix using a spacelike or timelike plane curve.Furthermore,we study the relationship between null helices and null Darboux developable surfaces.In chapter two,we study null slant helices and give the determinant condition such that a null Cartan curve becomes a null slant helix.We also define null conical geodesic curves and null unit Darboux developable surfaces.Moreover,we research the relationship between them. |