Conjugate mates for non-null Frenet curves

Abstract

For each non-null Frenet curve in Minkowski 3-space, there exists a unique unit speed non-null curve ̅ tangent to the principal binormal vector field of . We briefly call this curve ̅ the conjugate mate of . The aim of this paper is to prove some relationships between a non-null Frenet curve and its non-null conjugate mate.