Compact space-like hypersurfaces with constant scalar curvature in locally symmetric Lorentz spaces
Yaning Wang, Ximin Liu (2012)
Archivum Mathematicum
Similarity:
A new class of -dimensional Lorentz spaces of index 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.