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Abstract: We investigate regularizations of distributional sections of vector bundles by means of nets of smooth sections that preserve the main regularity properties of the original distributions (si...
Connected holonomy groups of conformally flat Lorentzian manifolds are classified. It is shown that among conformally flat Lorentzian manifolds there are two classes of spaces with special holonomy: ...
Recently, the old notion of causal boundary for a spacetime V has been redefined in a consistent way. The computation of this boundary $\partial V$ for a standard conformally stationary spacetime V = ...
Recently, the old notion of causal boundary for a spacetime V has been rede ned in a consistent way. The computation of this boundary @V on any standard conformally stationary spacetime V = R  M, sug...
The local form of all two-symmetric Lorentzian manifolds is found. To do this, the methods of the theory of the holonomy groups is used.

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