Article detail · 2025
Dual magnetic curves and flux ruled surfaces
- Year
- 2025
- Type
- article
Data source split
- YÖKSİS YÖKSİS article record
- YÖKSİS venue INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS
- Catalog match (ISSN) International Journal of Geometric Methods in Modern Physics
- OpenAlex OpenAlex enrichment (abstract, citations, topics)
Abstract
OpenAlex · English
In this paper, we introduce the dual magnetic trajectories traced by the dual Frenet vectors of any dual curves in dual space via the dual Lorentz force, and then we give the characterizations of dual magnetic curves. Moreover, we define the dual flux ruled surfaces corresponding to the Killing vectors on the dual unit sphere and identify the conditions for these surfaces to be minimal or developable. Additionally, we present certain characterizations related to these surfaces. We demonstrate the visual representations of some dual flux ruled surfaces in some examples.
Topics
Citations
OpenAlex cited_by_count. Not a WoS or Scopus citation count; those sources have no separate column here.
7 citations
OpenAlex cited_by_count (cache / database)
5 publications in the local catalog that cite this work (OpenAlex reference match; not the full global list).
- Generalization of dual numbers and dual Euclidean 3-Space 2025
- Generalization of dual numbers and dual Euclidean 3-Space 2025
- A Unified Approach to Magnetic Curves and Flux Surfaces via Conjugate Rotation Minimizing Frame 2026
- Magnetic Catenary Curves and Dual Flux Surfaces via Dual Quaternion Screw Theory 2026
- On the construction of generalized rectifying ruled surfaces in 3-dimensional Lie groups 2025