The Transversal Intersection of Surfaces Generated by Time-like Mannheim Curve Pair

Abstract

In this work, we study the local properties of the intersection curve of the tangent, rectifying developable and Darboux developable surfaces of a time-like Mannheim curve pair. We derive the curvature vector and curvature for the transversal intersection problem. Furthermore, we investigate some characteristic features of the intersection curve for all three cases and give some important results.