### Conformally flat Lorentzian three-spaces with various properties of symmetry and homogeneity

Giovanni Calvaruso (2010)

Archivum Mathematicum

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We study conformally flat Lorentzian three-manifolds which are either semi-symmetric or pseudo-symmetric. Their complete classification is obtained under hypotheses of local homogeneity and curvature homogeneity. Moreover, examples which are not curvature homogeneous are described.