The detailed proof of theorem which characterizes a slant helix
Fatih Dogan
TL;DR
This paper provides a detailed proof of a key theorem that characterizes slant helices, clarifying the conditions under which a curve is a slant helix and highlighting its significance in differential geometry.
Contribution
It offers a comprehensive proof of the theorem characterizing slant helices, which has influenced numerous subsequent studies in differential geometry.
Findings
The axis of a slant helix can be determined using a specific method.
A detailed proof of the characterization theorem for slant helices is provided.
The theorem's importance is emphasized due to its impact on related research.
Abstract
In this paper, firstly the axis of a slant helix is found with a method. Secondly, the theorem which characterizes a unit speed curve to be a slant helix is proved in detail. The importance of this theorem is stemed from that it has led to many papers regarding slant helices in the differential geometry literature.
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
TopicsAdvanced Numerical Analysis Techniques · Robotic Mechanisms and Dynamics · Computational Geometry and Mesh Generation