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)
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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)
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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.