Abstract
We completely classify three-dimensional semi-symmetric Lorentzian manifolds which are curvature homogeneous up to order one. Curvature restrictions for semi-symmetry turn out to be the same ones which ensure the existence on these manifolds of a degenerate parallel null line field (Chaichi et al., J. Phys. A, Math. Gen. 38, 841–850, 2005).
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Communicated by V. Cortés.
Supported by funds of MURST, GNSAGA and University of Salento.
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Calvaruso, G. Semi-symmetric Lorentzian metrics and three-dimensional curvature homogeneity of order one. Abh. Math. Semin. Univ. Hambg. 79, 1–10 (2009). https://doi.org/10.1007/s12188-009-0018-z
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DOI: https://doi.org/10.1007/s12188-009-0018-z