Generalized null Cartan Mannheim mates by means of differential equations for position vectors
Modern Physics Letters A, cilt.41, sa.6, 2026 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 41 Sayı: 6
- Basım Tarihi: 2026
- Doi Numarası: 10.1142/s0217732326500045
- Dergi Adı: Modern Physics Letters A
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, INSPEC, MathSciNet, zbMATH
- Anahtar Kelimeler: generalized Mannheim curve, Lineer system of differential equations, Minkowski spacetime, null Cartan curve, W-curve
- Süleyman Demirel Üniversitesi Adresli: Evet
Özet
This study investigates generalized null Cartan Mannheim curves and their corresponding mate curves in Minkowski spacetime, with a particular focus on their relevance to theoretical physics. By characterizing null Cartan W-curves through differential equations involving their curvature functions, we uncover structural relationships that resonate with the geometric behavior of particle trajectories in relativistic way. The generalized null Mannheim twisted curves are analyzed alongside their mate curves, offering explicit descriptions of how curvature and torsion functions interrelate through position vector components. Several concrete examples are provided to illustrate the theoretical constructs.