The natural equations of three-dimensional helices
Abstract
Abstract In this paper we use the notion of helix associated to a F -constant vector field, which has cylindrical and slant helices as particular examples, to find its natural equation. In the case of normal helices, we prove that they are characterized by being the pseudo-geodesics of helix surfaces.
Fields of Study & Subjects
Geometric Analysis and Curvature Flows
Advanced Differential Geometry Research
Advanced Differential Equations and Dynamical Systems
Publication details
- Journal / source
- Journal of Geometry
- Publisher
- Springer Science and Business Media LLC
- Volume
- 117
- Issue
- 1
- Publication date
- 21 January 2026
- Language
- EN