The Killing magnetic curves in the anti-de Sitter space H³₁

Authors

UĞUR DURSUNFollow

Author ORCID Identifier

UĞUR DURSUN: 0000-0002-5225-186X

Abstract

In this paper, we study space-like, time-like and light-like Killing magnetic curves derived from Killing magnetic vector fields of the anti-de Sitter space H³₁ by using the half-space model H³₁ of H³₁. We find the first integrals of the system of nonlinear differential equations that describe the Killing magnetic curves corresponding to some Killing vector fields of H³₁, and then we give some particular solutions to obtain space-like, time-like and light-like magnetic curves of H³₁. Also, we calculate the curvature and torsion of some space-like and time-like Killing magnetic curves, and the torsion of light-like Killing magnetic curves of H³₁.

DOI

10.55730/1300-0098.3653

Keywords

Anti-de Sitter space, magnetic curve, Killing vector, Killing magnetic curve, curvature, torsion

First Page

314

Last Page

331

Publisher

The Scientific and Technological Research Council of Türkiye (TÜBİTAK)

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Recommended Citation

DURSUN, U (2026). The Killing magnetic curves in the anti-de Sitter space H³₁. Turkish Journal of Mathematics 50 (2): 314-331. https://doi.org/10.55730/1300-0098.3653