Magnetic spherical indicatrix of a ruled surface

Yildirim A., Kasap E.

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, vol.21, no.3, 2024 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 21 Issue: 3
  • Publication Date: 2024
  • Doi Number: 10.1142/s0219887824500683
  • Journal Name: INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Metadex, zbMATH, Civil Engineering Abstracts
  • Keywords: Magnetic curve, magnetic flux surfaces, ruled surfaces
  • Ondokuz Mayıs University Affiliated: Yes

Abstract

The spherical indicatrix of a ruled surface is the image curve of its rulings on the sphere S-2. In this paper, we present Lorentz forces and magnetic curves produced by the Frenet frame {T-e, N-e, B-e} of the spherical indicatrix of a ruled surface in a magnetic field. We calculate magnetic vector fields of magnetic curves for T-e, N-e, B-e. Furthermore, we define magnetic flux surfaces constructed by magnetic vector fields along magnetic spherical indicatrix. We obtain developability conditions for these surfaces. Finally, we give some examples to show magnetic flux surfaces.