Generalized null Cartan Mannheim mates by means of differential equations for position vectors
Modern Physics Letters A, vol.41, no.6, 2026 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 41 Issue: 6
- Publication Date: 2026
- Doi Number: 10.1142/s0217732326500045
- Journal Name: Modern Physics Letters A
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, INSPEC, MathSciNet, zbMATH
- Keywords: generalized Mannheim curve, Lineer system of differential equations, Minkowski spacetime, null Cartan curve, W-curve
- Süleyman Demirel University Affiliated: Yes
Abstract
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.