Stable space-like hypersurfaces with constant scalar curvature in generalized Roberston-Walker spacetimes.
Liu, Ximin, Yang, Biaogui (2008)
Balkan Journal of Geometry and its Applications (BJGA)
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Displaying similar documents to “A new characterization of -stable hypersurfaces in space forms”
Stable space-like hypersurfaces with constant scalar curvature in generalized Roberston-Walker spacetimes.
Hypersurfaces with constant scalar or mean curvature in a unit sphere.
Shu, Shichang, Han, Annie Yi (2009)
Balkan Journal of Geometry and its Applications (BJGA)
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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 -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.
Eigenvalue relationships between Laplacians of constant mean curvature hypersurfaces in
Bingqing Ma, Guangyue Huang (2013)
Communications in Mathematics
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For compact hypersurfaces with constant mean curvature in the unit sphere, we give a comparison theorem between eigenvalues of the stability operator and that of the Hodge Laplacian on 1-forms. Furthermore, we also establish a comparison theorem between eigenvalues of the stability operator and that of the rough Laplacian.
On complete spacelike hypersurfaces with in locally symmetric Lorentz spaces
Yingbo Han, Shuxiang Feng, Liju Yu (2011)
Archivum Mathematicum
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In this note, we investigate -dimensional spacelike hypersurfaces with in locally symmetric Lorentz space. Two rigidity theorems are obtained for these spacelike hypersurfaces.