Spacelike hypersurfaces with constant scalar curvature.
Qing-Ming Cheng, Susumu Ishikawa (1998)
Manuscripta mathematica
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Displaying similar documents to “Maximum principle for hypersurfaces.”
Spacelike hypersurfaces with constant scalar curvature.
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Complete Maximal spacelike hypersurfaces of H ...
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On the quadric CMC spacelike hypersurfaces in Lorentzian space forms
Cícero P. Aquino, Henrique F. de Lima, Fábio R. dos Santos (2016)
Colloquium Mathematicae
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We deal with complete spacelike hypersurfaces immersed with constant mean curvature in a Lorentzian space form. Under the assumption that the support functions with respect to a fixed nonzero vector are linearly related, we prove that such a hypersurface must be either totally umbilical or isometric to a hyperbolic cylinder of the ambient space.
Curvature surfaces of Hopf Hypersurfaces in complex space forms.
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Some rigidity results for spatially closed spacetimes
Gregory Galloway (1997)
Banach Center Publications
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Hypersurfaces of prescribed mean curvature enclosing a given body.
Martin Fuchs (1991)
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Characterization of totally umbilic hypersurfaces in a space form by circles
Toshiaki Adachi, Sadahiro Maeda (2005)
Czechoslovak Mathematical Journal
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In this paper we characterize totally umbilic hypersurfaces in a space form by a property of the extrinsic shape of circles on hypersurfaces. This characterization corresponds to characterizations of isoparametric hypersurfaces in a space form by properties of the extrinsic shape of geodesics due to Kimura-Maeda.