Geodesic
Conformally flat Lorentzian three-spaces with various properties of symmetry and homogeneity
Archivum mathematicum, Tome 46 (2010) no. 2, pp. 119-134

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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.
Classification : 53C15, 53C25, 53C35, 53C50
Keywords: conformally flat manifolds; semi-symmetric and pseudo-symmetric spaces; homogeneous and curvature homogeneous spaces 
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     author = {Calvaruso, Giovanni},
     title = {Conformally flat {Lorentzian} three-spaces with various properties of symmetry and homogeneity},
     journal = {Archivum mathematicum},
     pages = {119--134},
     publisher = {mathdoc},
     volume = {46},
     number = {2},
     year = {2010},
     mrnumber = {2684254},
     zbl = {1240.53116},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_2010__46_2_a4/}
}
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Calvaruso, Giovanni. Conformally flat Lorentzian three-spaces with various properties of symmetry and homogeneity. Archivum mathematicum, Tome 46 (2010) no. 2, pp. 119-134. http://geodesic.mathdoc.fr/item/ARM_2010__46_2_a4/