B-Lift curves and involute curves in Lorentzian 3-space

Authors : Anıl Altınkaya, Mustafa Çalışkan

Pages : 474-485

Doi:10.31801/cfsuasmas.1338814

View : 50 | Download : 49

Publication Date : 2024-06-21

Article Type : Research Paper

Abstract :The involute of a curve is often called the perpendicular trajectories of the tangent vectors of a unit speed curve. Furthermore, the B-Lift curve is the curve acquired by combining the endpoints of the binormal vectors of a unit speed curve. In this study, we investigate the correspondences between the Frenet vectors of a curve’s B-lift curve and its involute. We also give an illustration of a helix that resembles space in Lorentzian 3-space and show how to visualize these curves by deriving the B-Lift curve and its involute.
Keywords : Involute curve, B lift curve, Minkowski space