Certain Constant Angle Surfaces Constructed on Curves in Minkowski 3 -Space

Abstract

A constant angle surface in Minkowski space is a spacelike or timelike surface whose unitnormal vector field makes a constant (hyperbolic) angle with a fixed vector. In this paper, wedeal with certain special spacelike and timelike ruled surfaces in R 31 under the general theorem ofcharacterization of constant angle surfaces. We study the normal, binormal, rectifiying developable,Darboux developable and conical surfaces from the point of view the constant angle property inR 31 . Moreover, we give some related examples with their figures.