Geometrical Aspects of Motion of Charged Particles in Magnetic and Killing Magnetic Fields and Their Corresponding Trajectories in Anti-De Sitter 3-Space
DOI10.1080/1726037X.2022.2142355OpenAlexW4312664463MaRDI QIDQ5057361
Publication date: 16 December 2022
Published in: Journal of Dynamical Systems and Geometric Theories (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/1726037x.2022.2142355
magnetic fieldLorentz forceKilling vector fieldanti-de Sitter 3-spacesplit-quaternionmagnetic trajectoryFrenet apparatus
Applications of differential geometry to physics (53Z05) Geodesics in global differential geometry (53C22) Global submanifolds (53C40) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Motion of charged particles (78A35)
Related Items (3)
Cites Work
- Unnamed Item
- Unnamed Item
- Geometry of special curves and surfaces in 3-space form
- The total squared curvature of closed curves
- Timelike surfaces of constant mean curvature in Minkowski 3-space
- Killing magnetic curves in a Minkowski 3-space
- Differential geometry of magnetic and Killing magnetic trajectories in de Sitter 3-space
- Magnetic curves corresponding to Killing magnetic fields in ${\mathbb {E}}^3$E3
- RELATIVISTIC PARTICLES ALONG NULL CURVES IN 3D LORENTZIAN SPACE FORMS
- The space of Lorentzian flat tori in anti-de Sitter $3$-space
- GEOMETRICAL PARTICLE MODELS ON 3D LIGHTLIKE CURVES
- The Gauss-Landau-Hall problem on Riemannian surfaces
- Magnetic vortex filament flows
- Hopf magnetic curves in the anti-de Sitter space 13
- Magnetic fields in 2D and 3D sphere
- Geometric Mechanics
- General helices in the three-dimensional Lorentzian space forms
- Magnetic trajectories corresponding to Killing magnetic fields in a three-dimensional warped product
This page was built for publication: Geometrical Aspects of Motion of Charged Particles in Magnetic and Killing Magnetic Fields and Their Corresponding Trajectories in Anti-De Sitter 3-Space