Displaying similar documents to “Some curvature conditions of the type 4 × 2 on the submanifolds satisfying Chen's equality.”

Compact space-like hypersurfaces with constant scalar curvature in locally symmetric Lorentz spaces

Yaning Wang, Ximin Liu (2012)

Archivum Mathematicum

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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.