On Dual Ruled Surfaces In Minkowski 3-space

This paper mainly investigates the geometric properties of dual ruled surfaces of ruled surfaces in Minkowski space.At first,we introduce some basic concepts related to three-dimensional Minkowski space and the properties of ruled surfaces.Then,the definitions of two dimensional hyperbolic space,two dimensional de Sitter space and two dimensional light cone are given.After that,starting from the two dimensional hyperbolic space,the?₁-?₄dual ruled surfaces generated by spacelike,timelike and lightlike lines are defined respectively.The Gaussian curvatures,mean curvatures,Pitch functions and Angle functions of the four groups of dual ruled surfaces are studied.At last,classifications of these dual ruled surfaces are given from the viewpoints of degeneracy,developability or vanished Pitch function and so on.