Magnetic fields in 2D and 3D sphere

DOI10.1080/14029251.2013.855052zbMath1420.53032OpenAlexW2036321260MaRDI QIDQ5230904

Jose L. Cabrerizo

Publication date: 29 August 2019

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14029251.2013.855052

zbMATH Keywords

Riemannian manifoldmagnetic fieldKilling field

Mathematics Subject Classification ID

Global submanifolds (53C40) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Related Items (20)

Differential geometry of magnetic and Killing magnetic trajectories in de Sitter 3-space ⋮ Geometrical Aspects of Motion of Charged Particles in Magnetic and Killing Magnetic Fields and Their Corresponding Trajectories in Anti-De Sitter 3-Space ⋮ On T-magnetic biharmonic particles with energy and angle in the three dimensional Heisenberg group H ⋮ Unnamed Item ⋮ Hopf magnetic curves in the anti-de Sitter space 𝔿13 ⋮ \(J\)-trajectories in 4-dimensional solvable Lie group \(\mathrm{Sol}_1^4\) ⋮ Killing magnetic trajectories in 3d Egorov spaces ⋮ Frictional magnetic curves in 3D Riemannian manifolds ⋮ New fractional Heisenberg antiferromagnetic model and solitonic magnetic flux surfaces with normal direction ⋮ Gravitational magnetic curves on 3D Riemannian manifolds ⋮ A new approach for inextensible flows of binormal spherical indicatrices of magnetic curves ⋮ On velocity bimagnetic biharmonic particles with energy on Heisenberg space ⋮ Magnetic curves in the generalized Heisenberg group ⋮ A new version of normal magnetic force particles in 3D Heisenberg space ⋮ Magnetic curves in Sasakian manifolds ⋮ A new version of spherical magnetic curves in the de-Sitter space \(\mathcal S_1^2\) ⋮ A geometric interpretation of polarized light and electromagnetic curves along an optical fiber with surface kinematics ⋮ Berry phase of the linearly polarized light wave along an optical fiber and its electromagnetic curves via quasi adapted frame ⋮ Magnetic trajectories in Killing magnetic backgrounds framed in 3D \(pp\)-waves ⋮ Variational equations and Killing magnetic trajectories on timelike surfaces in semi-Riemannian manifolds

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The imbedding problem for Riemannian manifolds
• On the Landau levels on the hyperbolic plane
• Curvature bound and trajectories for magnetic fields on a Hadamard surface
• Magnetic vortex filament flows
• A conformal variational approach for helices in nature
• Magnetic flows and Gaussian thermostats on manifolds of negative curvature

This page was built for publication: Magnetic fields in 2D and 3D sphere