Compact spacelike hypersurfaces with constant mean curvature in the anti de Sitter space.
de Lima, Henrique F., de Lima, Joseilson R. (2009)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “On the first eigenvalue of spacelike hypersurfaces in Lorentzian space”
Compact spacelike hypersurfaces with constant mean curvature in the anti de Sitter space.
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.
Ricci curvature of real hypersurfaces in complex hyperbolic space
Bang-Yen Chen (2002)
Archivum Mathematicum
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First we prove a general algebraic lemma. By applying the algebraic lemma we establish a general inequality involving the Ricci curvature of an arbitrary real hypersurface in a complex hyperbolic space. We also classify real hypersurfaces with constant principal curvatures which satisfy the equality case of the inequality.
Integral formulas for closed spacelike hypersurfaces in anti-de Sitter space
Guoxin Wei, Qiuli Liu, Young Jin Suh (2009)
Czechoslovak Mathematical Journal
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In this paper, we study closed -maximal spacelike hypersurfaces in anti-de Sitter space with two distinct principal curvatures and give some integral formulas about these hypersurfaces.