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On causal properties of symmetric Lorentzian spaces
causal properties symmetric Lorentzian spaces
2011/1/18
The causal properties of Lorentzian symmetric spaces are investigated in the paper. There is proved the global hyperbolicity of the Cahen–Wallach Lorentzian symmetric spaces, corresponding to solvable...
Jordanian double extensions of a quadratic vector space and symmetric Novikov algebras
Jordanian double extension 2-step nilpotent pseudo-Euclidean Jordan algebras
2011/2/28
First, we study pseudo-Euclidean Jordan algebras obtained as double extensions of a quadratic vector space by a one-dimensional algebra. We give an isomorphic characterization of 2-step nilpotent pseu...
A Haar component for quantum limits on locally symmetric spaces
Haar component quantum limits locally symmetric spaces
2010/12/13
We prove lower bounds for the entropy of limit measures associated to nondegenerate sequences of eigenfunctions on locally symmetric spaces of non-positive curvature.In the case of certain compact quo...