Fermi–Walker magnetic curves and Killing trajectories in 3D Riemannian manifolds

DOI10.1002/MMA.9604OpenAlexW4385407630MaRDI QIDQ6193150

Rıdvan Cem Demirkol

Publication date: 12 March 2024

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.9604

zbMATH Keywords

magnetic fieldLorentz forceKilling vector fieldFermi-Walker derivative

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Applications of local differential geometry to the sciences (53B50) Methods of local Riemannian geometry (53B21)

Cites Work

• Unnamed Item
• Magnetic curves in cosymplectic manifolds
• The total squared curvature of closed curves
• Magnetic flows of Anosov type
• A comparison theorem on harp-sectors for Kähler magnetic fields
• A comparison theorem on crescents for Kähler magnetic fields
• MAGNETIC JACOBI FIELDS FOR SURFACE MAGNETIC FIELDS
• Turbulent boundary layer control utilizing the Lorentz force
• Magnetic vortex filament flows
• A vortex filament moving without change of form
• A comparison theorem on magnetic jacobi fields
• Geometric phase in the classical continuous antiferromagnetic Heisenberg spin chain
• A new approach for magnetic curves in 3D Riemannian manifolds
• Singularity properties of killing magnetic curves in Minkowski 3-space
• Lagrangian Aspects of the Kirchhoff Elastic Rod
• New connections between moving curves and soliton equations

This page was built for publication: Fermi–Walker magnetic curves and Killing trajectories in 3D Riemannian manifolds