Geodesic
Compact space-like hypersurfaces with constant scalar curvature in locally symmetric Lorentz spaces
Archivum mathematicum, Tome 48 (2012) no. 3, pp. 163-172

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A new class of $(n+1)$-dimensional Lorentz spaces of index $1$ is introduced which satisfies some geometric conditions and can be regarded as a generalization of Lorentz space form. Then, the compact space-like hypersurface with constant scalar curvature of this spaces is investigated and a gap theorem for the hypersurface is obtained.
DOI : 10.5817/AM2012-3-163
Classification : 53C15, 53C42
Keywords: space-like hypersurface; constant scalar curvature; second fundamental form; locally symmetric Lorentz space 
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Wang, Yaning; Liu, Ximin. Compact space-like hypersurfaces  with constant scalar curvature in locally symmetric Lorentz spaces. Archivum mathematicum, Tome 48 (2012) no. 3, pp. 163-172. doi: 10.5817/AM2012-3-163

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