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.
Primary Language | English |
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Subjects | Algebraic and Differential Geometry |
Journal Section | Research Articles |
Authors | |
Publication Date | June 21, 2024 |
Submission Date | August 7, 2023 |
Acceptance Date | December 4, 2023 |
Published in Issue | Year 2024 Volume: 73 Issue: 2 |
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.
This work is licensed under a Creative Commons Attribution 4.0 International License.