Abstract
We characterize semi-symmetric Lorentzian three-manifolds (M,g f ) admitting a parallel degenerate line field, through a condition on the defining function f. The admissible Segre types of the Ricci operator of (M,g f ) are also completely described, and semi-symmetric curvature homogeneous examples are presented in the possible different cases.
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Authors supported by funds of MURST and the University of Salento.
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Calvaruso, G., De Leo, B. Semi-symmetric Lorentzian Three-manifolds Admitting a Parallel Degenerate Line Field. Mediterr. J. Math. 7, 89–100 (2010). https://doi.org/10.1007/s00009-010-0029-0
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DOI: https://doi.org/10.1007/s00009-010-0029-0