One parametric representation of the generalized focal curve of a non-helical spherical curve
In this paper, we establish relations between Frenet frames and differential-geometric invariants of a non-helical space curve in a three-dimensional Euclidean space and its closely related curve in a four-dimensional Euclidean space. The focal curve of the constructed four-dimensional curve is used to obtain a parametric representation of the generalized focal curve of a spherical curve.
Authors
- Radostina Petrova Encheva
- Cvetelina Dinkova
- Aynur Ali (ORCID: https://orcid.org/0009-0008-2566-2189)
Institutions
- Shumen University (BG)
Publication Details
- Journal
- Mathematics and Education in Mathematics
- Published
- 2025-03-27
- DOI
- https://doi.org/10.55630/mem.2025.54.039-045
- Primary Topic
- Statistical and numerical algorithms
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Constantine of Preslav University of Shumen