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Geometric regularization on Riemannian and Lorentzian manifolds
Regularization of distributions complete Riemannian manifolds globally hyperbolic Lorentz manifolds algebras of generalized functions
2011/8/22
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...
Conformally flat Lorentzian manifolds with special holonomy
Conformally flat Lorentzian manifolds special holonomy
2010/11/23
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: ...
Gromov, Cauchy and causal boundaries for Riemannian, Finslerian and Lorentzian manifolds
Gromov Cauchy causal boundaries Riemannian
2010/11/11
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 = ...
Gromov, Cauchy and causal boundaries for Riemannian, Finslerian and Lorentzian manifolds
Gromov Cauchy causal boundaries for Riemannian Finslerian Lorentzian manifolds
2010/12/21
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.