28 citations · 109 across the 8 of their papers we have counts for
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Exact solutions of Maxwell vacuum equations in null homogeneous Petrov spaces with solvable motions groups
V. V. Obukhov
Null homogeneous Petrov spaces are considered. The geometry of is determined by the geometry of the three-dimensional homogeneous Riemannian space , w…
Exact solutions of Maxwell vacuum equations in null homogeneous Petrov spaces with non-solvable motions groups
V. V. Obukhov
A complete classification of exact solutions of Maxwell vacuum equations for invariant electromagnetic fields in null homogeneous Petrov spaces with unsolvable groups of motions $G…
Classification of Petrov Homogeneous Spaces
V. V. Obukhov
In this paper the final stage of the Petrov classification is carried out. As it is known, the Killing vector fields specify infinitesimal transformations of the group of motions o…
Exact solutions of Maxwell equations in homogeneous spaces with the group of motions
V. V. Obukhov
The problem of classification of exact solutions of Maxwell's vacuum equations for admissible electromagnetic fields and homogeneous space-time with the group of motions $G_3(VIII)…
Separation of variables in Hamilton-Jacobi and Klein-Gordon-Fock equations for a charged test particle in the Stackel spaces of type (1.1)
V. V. Obukhov
All equivalence classes for electromagnetic potentials and space-time metrics of Stackel spaces, provided that Hamilton-Jacobi equation and Klein-Gordon-Fock equation for a charged…
Separation of variables in Hamilton-Jacobi equation for a charged test particle in the Stackel spaces of type (2.1)
Valeriy Obukhov
Found all equivalence classes for electromagnetic potentials and space-time metrics of Stackel spaces, provided that the equations of motion of the classical charged test particles…
Separation of variables in Hamilton-Jacobi equation for a charged test particle in the Stackel spaces of type (2.0)
Valeriy Obukhov
Found all equivalence classes for electromagnetic potentials and space-time metrics of Stackel spaces, provided that the equations of motion of the classical charged test particles…