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• W3082205325 endingPage "2050100" @default.
• W3082205325 startingPage "2050100" @default.
• W3082205325 abstract "Under some dimension restrictions, we prove that totally umbilical hypersurfaces of Spin[Formula: see text] manifolds carrying a parallel, real or imaginary Killing spinor are of constant mean curvature. This extends to the Spin[Formula: see text] case the result of Kowalski stating that, every totally umbilical hypersurface of an Einstein manifold of dimension greater or equal to [Formula: see text] is of constant mean curvature. As an application, we prove that there are no extrinsic hypersheres in complete Riemannian [Formula: see text] manifolds of non-constant sectional curvature carrying a parallel, Killing or imaginary Killing spinor." @default.
• W3082205325 created "2020-09-08" @default.
• W3082205325 creator A5040209079 @default.
• W3082205325 creator A5071124283 @default.
• W3082205325 date "2020-09-25" @default.
• W3082205325 modified "2023-10-14" @default.
• W3082205325 title "Totally umbilical hypersurfaces of Spinc manifolds carrying special spinor fields" @default.
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• W3082205325 doi "https://doi.org/10.1142/s0129167x20501001" @default.
• W3082205325 hasPublicationYear "2020" @default.
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