A geometric interpretation of polarized light and electromagnetic curves along an optical fiber with surface kinematics
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Publication:2094563
DOI10.1007/s00009-022-02160-wzbMath1504.53110OpenAlexW4307404897MaRDI QIDQ2094563
Hazal Ceyhan, F. Nejat Ekmekci, Zehra Özdemir, Ismail Gök
Publication date: 28 October 2022
Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00009-022-02160-w
ordinary differential equationsvector fieldselectromagnetic theorymagnetic flowsapplications to physicsDarboux frame fields
Vector fields, frame fields in differential topology (57R25) Dynamics induced by flows and semiflows (37C10) Applications of differential geometry to physics (53Z05) Applications of local differential geometry to the sciences (53B50)
Uses Software
Cites Work
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- On the existence of almost contact structure and the contact magnetic field
- On the Landau levels on the hyperbolic plane
- Kähler magnetic fields on a complex projective space
- Kähler magnetic flows for a manifold of constant holomorphic sectional curvature
- Killing magnetic curves in a Minkowski 3-space
- Bianchi type-I cosmological models for inextensible flows of biharmonic particles by using curvature tensor field in spacetime
- The classification of Killing magnetic curves in \(\mathbb S^2 \times \mathbb R\)
- Geometric phases in twisted strips
- Killing magnetic curves in three-dimensional almost paracontact manifolds
- Magnetic curves corresponding to Killing magnetic fields in ${\mathbb {E}}^3$E3
- The Gauss-Landau-Hall problem on Riemannian surfaces
- Magnetic vortex filament flows
- Quantal phase factors accompanying adiabatic changes
- The Hamiltonian formalism and a many-valued analogue of Morse theory
- There is More than One Way to Frame a Curve
- General helices and a theorem of Lancret
- Frictional magnetic curves in 3D Riemannian manifolds
- Gravitational magnetic curves on 3D Riemannian manifolds
- A new approach for magnetic curves in 3D Riemannian manifolds
- Magnetic fields in 2D and 3D sphere