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.
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
Keywords: conformally flat manifolds; semi-symmetric and pseudo-symmetric spaces; homogeneous and curvature homogeneous spaces
@article{ARM_2010_46_2_a4,
author = {Calvaruso, Giovanni},
title = {Conformally flat {Lorentzian} three-spaces with various properties of symmetry and homogeneity},
journal = {Archivum mathematicum},
pages = {119--134},
year = {2010},
volume = {46},
number = {2},
mrnumber = {2684254},
zbl = {1240.53116},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ARM_2010_46_2_a4/}
}
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/