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 “Hypersurfaces with constant scalar or mean curvature in a unit sphere.”
Stable space-like hypersurfaces with constant scalar curvature in generalized Roberston-Walker spacetimes.
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.
Stable space-like hypersurfaces in the de Sitter space
Ximin Liu, Deng Junlei (2004)
Archivum Mathematicum
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In this paper, we study the stability of space-like hypersurfaces with constant scalar curvature immersed in the de Sitter spaces.
Scalar curvature on lightlike hypersurfaces.
Atindogbé, Cyriaque (2009)
APPS. Applied Sciences
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A new characterization of -stable hypersurfaces in space forms
H. F. de Lima, M. A. Velásquez (2011)
Archivum Mathematicum
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In this paper we study the -stability of closed hypersurfaces with constant -th mean curvature in Riemannian manifolds of constant sectional curvature. In this setting, we obtain a characterization of the -stable ones through of the analysis of the first eigenvalue of an operator naturally attached to the -th mean curvature.