On the Bertrand B-Pair Curves in 3-Dimensional Euclidean Space

Abstract

The aim of this paper is to study the Bertrand B-curve and the Bertrand B-pair curves according to BishopII frame in Euclidean space. First, we define Bertrand B-curve, Bertrand B-pair curves and study the properties of the Bertrand B-curves by using BishopII frame. Second, we examine the relationships between the Bishop curvatures of the Bertrand B-pair curves with respect to each other.