On the Transversal Intersection Curve of the Special Surfaces of Bertrand Curve Pairs

Abstract

In this paper, we study the local properties of the intersection curve of the tangent, principal normal and binormal surfaces of a Bertrand curve pair. We derive the curvature vector and curvature for the transversal intersection for intersection problem. Furthermore, we investigate some characteristic features of the intersection curve for all three cases and give some important results.