On a Spacelike Line Congruence Which Has the Parameter Ruled Surfaces as Principal Ruled Surfaces

Abstract

In this paper, we define spacelike line congruence, which has the parameter ruled surfaces as principal ruled surfaces, on the dual unit hyperbolic sphere H-+(2) in the dual Lorentzian 3-space D-1(3). We carry the obtained results to the 3-dimensional Minkowski space E-1(3) by means of the E. Study's dual line coordinates.