Work

One parametric representation of the generalized focal curve of a non-helical spherical curve

Year: 2025

Type: article

Abstract: 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.

Source: Mathematics and Education in Mathematics

DOI: 10.55630/mem.2025.54.039-045

Authors: Cvetelina Dinkova, Radostina Encheva, Aynur Ali

Institution: Shumen University

Language: English

Topic: Advanced Differential Geometry Research

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funder: Constantine of Preslav University of Shumen

Award: G3994962882