Notes on the geometry of electromagnetic fields and Maxwell’s equations along a nonnull curves in nonflat-3D space forms M_q³(c)

Authors

• FATMA ALMAZFollow
• CUMALİ EKİCİFollow

Author ORCID Identifier

FATMA ALMAZ: 0000-0002-1060-7813

CUMALİ EKİCİ: 0000-0002-0671-3672

Abstract

In this paper, the directional derivatives in accordance with the orthonormal frame {T^→, N^→, B^→} are defined in M_q³(c), the extended Serret-Frenet relations by using Frenet formulas are expressed. Furthermore, we express the bending elastic energy function for the same particle in M_q³(c) according to curve γ(s, ξ, η) and we tried to interpret it from a geometric perspective of the energy for unit vector fields. Also, Maxwell’s equations are expressed for the electric and magnetic field vectors in M_q³(c).

DOI

10.55730/1300-0098.3682

Keywords

$M_{q}^{3}(c)$, electromagnetic field, electric field, energy, Maxwell equations

First Page

794

Last Page

819

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

ALMAZ, F, & EKİCİ, C (2026). Notes on the geometry of electromagnetic fields and Maxwell’s equations along a nonnull curves in nonflat-3D space forms M_q³(c). Turkish Journal of Mathematics 50 (4): 794-819. https://doi.org/10.55730/1300-0098.3682