Quasi-Focal Curves of Spacelike Adjoint Curves in 3D Minkowski Space

Abstract

Associated curves bring meaningful geometric expression to the physics and mathematics fields in the characterization of curves and surfaces created by those curves, their behavior, and the study of particle motion in space-time. In this work, we examine the relationship between adjoint curves and focal curves, which are two important examples of associated curves. We do this review for spacelike curves under quasi(q)-frame in 3D Minkowski space. To put it more clearly, we obtain some new characterizations by defining the focal curve of the adjoint curve of a spacelike curve in this space.