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 “Spacelike intersection curve of three spacelike hypersurfaces in E41”
Compact spacelike hypersurfaces with constant mean curvature in the anti de Sitter space.
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International Journal of Open Problems in Computer Science and Mathematics. IJOPCM
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Inoguchi, Jun-Ichi (2003)
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Some characterizations of rectifying curves in the Minkowski 3-space.
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Spacelike hypersurfaces in de Sitter space with constant higher-order mean curvature.
Cai, Kairen, Xu, Huiqun (2006)
International Journal of Mathematics and Mathematical Sciences
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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.
A Useful Characterization of Some Real Hypersurfaces in a Nonflat Complex Space Form
Takehiro Itoh, Sadahiro Maeda (2006)
Bulletin of the Polish Academy of Sciences. Mathematics
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We characterize totally η-umbilic real hypersurfaces in a nonflat complex space form M̃ₙ(c) (= ℂPⁿ(c) or ℂHⁿ(c)) and a real hypersurface of type (A₂) of radius π/(2√c) in ℂPⁿ(c) by observing the shape of some geodesics on those real hypersurfaces as curves in the ambient manifolds (Theorems 1 and 2).