Quasi-umbilical hypersurfaces of a Sasakian manifold (Q1814727)

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scientific article; zbMATH DE number 940619
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Quasi-umbilical hypersurfaces of a Sasakian manifold
scientific article; zbMATH DE number 940619

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    Quasi-umbilical hypersurfaces of a Sasakian manifold (English)
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    31 October 1996
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    The author states two characterizations of totally umbilical and totally geodesic hypersurfaces among the class of quasi-umbilical hypersurfaces of a Sasakian manifold. He also states a sufficient condition for a totally umbilicial hypersurface in a Sasakian manifold to be isometric to an ordinary sphere. No proofs are given.
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    quasi-umbilical submanifold
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    Sasakian manifold
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    hypersurface
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