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 unit normal vector field makes a constant (hyperbolic) angle with a fixed vector. In this paper, we deal with certain special spacelike and timelike ruled surfaces in R-1(3) under the general theorem of characterization 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 in R-1(3) : Moreover, we give some related examples with their figures.