Notes on the geometry of electromagnetic fields and Maxwell's equations along a nonnull curves in nonflat-3D space forms Mq3(c)
Turkish Journal of Mathematics, cilt.50, sa.4, ss.794-819, 2026 (SCI-Expanded, Scopus, TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 50 Sayı: 4
- Basım Tarihi: 2026
- Doi Numarası: 10.55730/1300-0098.3682
- Dergi Adı: Turkish Journal of Mathematics
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, TR DİZİN (ULAKBİM), Academic Search Ultimate (EBSCO)
- Sayfa Sayıları: ss.794-819
- Anahtar Kelimeler: electric field, electromagnetic field, energy, Mq3(c), Maxwell equations
- Eskişehir Osmangazi Üniversitesi Adresli: Evet
Özet
In this paper, the directional derivatives in accordance with the orthonormal frame {T,N,B} are defined in Mq3(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 Mq3(c) according to curve γ(s,θ,φ) 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 Mq3(c).