Geodesic
Einstein-Like Lorentz Metrics and Three-Dimensional Curvature Homogeneity of Order One
Canadian mathematical bulletin, Tome 53 (2010) no. 3, pp. 412-424

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DOI

We completely classify three-dimensional Lorentz manifolds, curvature homogeneous up to order one, equipped with Einstein-like metrics. New examples arise with respect to both homogeneous examples and three-dimensional Lorentz manifolds admitting a degenerate parallel null line field.
DOI : 10.4153/CMB-2010-052-7
Mots-clés : 53C50, 53C20, 53C30, Lorentz manifolds, curvature homogeneity, Einstein-like metrics 
Calvaruso, G. Einstein-Like Lorentz Metrics and Three-Dimensional Curvature Homogeneity of Order One. Canadian mathematical bulletin, Tome 53 (2010) no. 3, pp. 412-424. doi: 10.4153/CMB-2010-052-7
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     title = {Einstein-Like {Lorentz} {Metrics} and {Three-Dimensional} {Curvature} {Homogeneity} of {Order} {One}},
     journal = {Canadian mathematical bulletin},
     pages = {412--424},
     year = {2010},
     volume = {53},
     number = {3},
     doi = {10.4153/CMB-2010-052-7},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2010-052-7/}
}
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