Geodesic
Conformally Flat Riemannian Manifolds as Hypersurfaces of the Light Cone
Canadian mathematical bulletin, Tome 32 (1989) no. 3, pp. 281-285

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Simply connected conformally flat Riemannian manifolds are characterized as hypersurfaces in the light cone of a standard flat Lorentzian space, transversal to its generators. Some applications of this fact are given. 
Asperti, A. C.; Dajczer, M. Conformally Flat Riemannian Manifolds as Hypersurfaces of the Light Cone. Canadian mathematical bulletin, Tome 32 (1989) no. 3, pp. 281-285. doi: 10.4153/CMB-1989-041-8
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     author = {Asperti, A. C. and Dajczer, M.},
     title = {Conformally {Flat} {Riemannian} {Manifolds} as {Hypersurfaces} of the {Light} {Cone}},
     journal = {Canadian mathematical bulletin},
     pages = {281--285},
     year = {1989},
     volume = {32},
     number = {3},
     doi = {10.4153/CMB-1989-041-8},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1989-041-8/}
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