On T-magnetic biharmonic particles with energy and angle in the three dimensional Heisenberg group H
From MaRDI portal
Publication:1644447
DOI10.1007/s00006-018-0834-2zbMath1392.53044OpenAlexW2789609243MaRDI QIDQ1644447
Publication date: 21 June 2018
Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00006-018-0834-2
Differential geometry of homogeneous manifolds (53C30) Special relativity (83A05) Applications of local differential geometry to the sciences (53B50) Local submanifolds (53B25) Curves in Euclidean and related spaces (53A04)
Related Items
An approach to energy and elastic for curves with extended Darboux frame in Minkowski space ⋮ Unnamed Item ⋮ A new velocity magnetic particles with flows by spherical frame ⋮ Spherical magnetic flux flows with fractional Heisenberg spherical ferromagnetic spin of optical spherical flux density with fractional applications ⋮ New Heisenberg antiferromagnetic spin for quasi normal magnetic flows with geometric phase ⋮ A new version of energy and elastica for curves with extended darboux frame ⋮ On binormal magnetic curves with harmonicity in terms of inextensible flows in space ⋮ On quasi focal curves with quasi frame in space ⋮ Unnamed Item ⋮ Tangent bimagnetic curves in terms of inextensible flows in space ⋮ A new approach for inextensible flows of binormal spherical indicatrices of magnetic curves ⋮ Unnamed Item ⋮ A new version of normal magnetic force particles in 3D Heisenberg space ⋮ A new version of Fermi Walker derivative with constant energy for normal image of slant helix in the Lie groups ⋮ A new version of spherical magnetic curves in the de-Sitter space \(\mathcal S_1^2\)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On new characterization of inextensible flows of space-like curves in de Sitter space
- On the existence of almost contact structure and the contact magnetic field
- On the Landau levels on the hyperbolic plane
- Lorentz metrics on unimodular Lie groups of dimension three
- Kähler magnetic fields on a complex projective space
- On the energy and pseudoangle of Frenet vector fields in \(\mathbb{R}_\nu^n\)
- Kähler magnetic flows for a manifold of constant holomorphic sectional curvature
- Killing magnetic curves in a Minkowski 3-space
- The classification of Killing magnetic curves in \(\mathbb S^2 \times \mathbb R\)
- Magnetic curves corresponding to Killing magnetic fields in ${\mathbb {E}}^3$E3
- Magnetic vortex filament flows
- The Hamiltonian formalism and a many-valued analogue of Morse theory
- A new approach for magnetic curves in 3D Riemannian manifolds
- Magnetic fields in 2D and 3D sphere
- On the energy of a unit vector field