The Properties of Bertrand Curves In Dual Space
\.Ilkay Arslan G\"uven, \.Ipek A\u{g}ao\u{g}lu
TL;DR
This paper explores Bertrand curves within three-dimensional dual space, providing characterizations and demonstrating that involutes of a curve form Bertrand pairs, thus extending the understanding of dual space curve properties.
Contribution
It introduces new characterizations of Bertrand curves in dual space D3 and establishes that involutes create Bertrand pairs, advancing dual space curve theory.
Findings
Bertrand curves characterized in dual space D3
Involutes of a curve form Bertrand pairs
Extended properties of dual space curves
Abstract
In this study, we investigate Bertrand curves in three dimensional dual space D3 and we obtain the characterizations of these curves in dual space D3. Also we show that involutes of a curve constitute Bertrand pair curves.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Numerical Analysis Techniques