Geodesic
On complete spacelike hypersurfaces with $R=aH+b$ in locally symmetric Lorentz spaces
Archivum mathematicum, Tome 47 (2011) no. 2, pp. 151-161.

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In this note, we investigate $n$-dimensional spacelike hypersurfaces $M^n$ with $R=aH+b$ in locally symmetric Lorentz space. Two rigidity theorems are obtained for these spacelike hypersurfaces.
Classification : 53B30, 53C42
Keywords: spacelike submanifolds; locally symmetric Lorentz spaces 
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     author = {Han, Yingbo and Feng, Shuxiang and Yu, Liju},
     title = {On complete spacelike hypersurfaces with $R=aH+b$ in locally symmetric {Lorentz} spaces},
     journal = {Archivum mathematicum},
     pages = {151--161},
     publisher = {mathdoc},
     volume = {47},
     number = {2},
     year = {2011},
     mrnumber = {2813541},
     zbl = {1249.53077},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_2011__47_2_a8/}
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Han, Yingbo; Feng, Shuxiang; Yu, Liju. On complete spacelike hypersurfaces with $R=aH+b$ in locally symmetric Lorentz spaces. Archivum mathematicum, Tome 47 (2011) no. 2, pp. 151-161. http://geodesic.mathdoc.fr/item/ARM_2011__47_2_a8/