The Groups of Motions of Some Three-Dimensional Maximal Mobility Geometries
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DOI: 10.1134/s0037446618020155
Abstract: We find the groups of motions of eight three-dimensional maximal mobility geometries. These groups are actions of just three Lie groups SL2(R)ΔN, SL2(C)R, and SL2(R)⊗SL2(R) on the space R3, where N is a normal abelian… read more here.
Keywords: three dimensional; mobility geometries; maximal mobility; groups motions ... See more keywords
Algebra of the Symmetry Operators of the Klein-Gordon-Fock Equation for the Case When Groups of Motions G3 Act Transitively on Null Subsurfaces of Spacetime
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DOI: 10.3390/sym14020346
Abstract: The algebras of the symmetry operators for the Hamilton–Jacobi and Klein–Gordon–Fock equations are found for a charged test particle, moving in an external electromagnetic field in a spacetime manifold on the isotropic (null) hypersurface, of… read more here.
Keywords: klein gordon; symmetry operators; gordon fock; groups motions ... See more keywords