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

Year 2024, Volume: 73 Issue: 2, 474 - 485, 21.06.2024

Anıl Altınkaya Mustafa Çalışkan

https://doi.org/10.31801/cfsuasmas.1338814

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

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