Variational equations and Killing magnetic trajectories on timelike surfaces in semi-Riemannian manifolds
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, cilt.51, sa.4, ss.1058-1071, 2022 (SCI-Expanded, Scopus, TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 51 Sayı: 4
- Basım Tarihi: 2022
- Doi Numarası: 10.15672/hujms.967923
- Dergi Adı: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH, TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.1058-1071
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Ankara Üniversitesi Adresli: Hayır
Özet
In this article, Darboux frame variations for timelike surfaces in semi-Riemannian manifolds are discussed. In addition, the Killing equations are examined by using the Darboux frame curvature variations. Then, magnetic trajectories are generated by means of the variational vector fields. Furthermore, parametric representations of all magnetic trajectories on the de Sitter space S-1(2) are presented. Moreover, various examples of magnetic trajectories are given in order to illustrate the theoretical results.