Intersections of Ruled Surfaces Corresponding to Curves on Pseudo Spheres in Dual Space

Abstract

In this article, firstly, the intersection of two ruled surfaces corresponding to two different curves on S_1^2 is investigated. The conditions for the intersection of these ruled surfaces in R_1^3 are expressed by theorems with bivariate functions. Then, the intersection of two ruled surfaces corresponding to two different curves on H^2 is examined. Similarly, the conditions for the intersection of these ruled surfaces in R_1^3 are shown by some illustrative theorems with bivariate functions. Finally, some examples are given to support the main results.