A new version of time-pencil surfaces around biharmonic particles and its Lorentz transformations in Heisenberg spacetime

DOI10.1007/s10773-014-2029-5zbMath1391.70055OpenAlexW2015236228MaRDI QIDQ458071

Essin Turhan, Talat Körpinar

Publication date: 30 September 2014

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10773-014-2029-5

zbMATH Keywords

energyHeisenberg groupLorentz transformationsbienergybiharmonic particletime-pencil surface

Mathematics Subject Classification ID

Technical applications of optics and electromagnetic theory (78A55) Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics (70H40)

Related Items (8)

New effect for Faraday tensor for biharmonic particles in Heisenberg spacetime ⋮ Constant energy of time involute particles of biharmonic particles in Bianchi type-I cosmological model spacetime ⋮ New Bianchi type-I cosmological models for biharmonic particles using string cosmology with exponential law ⋮ On parallel p-equidistant ruled surfaces by using mofied orthogonal frame with curvature in E³ ⋮ New characterizations for minimizing energy of biharmonic particles in Heisenberg spacetime ⋮ A new class of time-Meridian surfaces of biharmonic \textsf{S}-particles and its Lorentz transformation in Heisenberg spacetime ⋮ Bianchi type-I cosmological models for biharmonic particles and its transformations in spacetime ⋮ Bianchi type-I cosmological models for inextensible flows of biharmonic particles by using curvature tensor field in spacetime

Cites Work

• Time-canal surfaces around biharmonic particles and its Lorentz transformations in Heisenberg space-time
• On characterization of \(\mathfrak B\)-canal surfaces in terms of biharmonic \(\mathfrak B\)-slant helices according to Bishop frame in Heisenberg group Heis\(^{3}\)
• Hasse-Witt invariants of symmetric complexes: An example from geometry.
• Biharmonic submanifolds in \(3\)-dimensional \((\kappa, \mu)\)-manifolds
• Time-tangent surfaces around biharmonic particles and its Lorentz transformations in Heisenberg spacetime
• A Report on Harmonic Maps
• Hamiltonians for curves
• Foundations of classical electrodynamics. Charge, flux, and metric
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