Special Ruled Surfaces In 3-dimensional Minkowski Space

According to the constant section curvature,the Lorentzian space form can be divided into three categories: de Sitter space,Minkowski space and Anti de Sitter space.This article mainly studies the geometric properties of the curves and surfaces in three dimensional Minkowski space.In chapter one,the basis concepts in three dimensional Minkowski space will be introduced,such as the line of striction of the ruled surfaces and the geodesic on the surfaces.Then,in chapter two,the correlative notions of the rectifying developable surfaces will be introduced,such as the definition of Darboux vector and the rectifying developable surface.This article studies the relationship between the rectifying developable surfaces and the general helix.In chapter three,the correlative properties of the geodesic of the ruled surface and the line of striction will be firstly introduced,then the correlative relationship between the rectifying developable surfaces and the geodesic will be researched.Lastly,we get the relationship between geodesic and the rectifying developable surfaces.