Flat Möbius hypersurfaces in \(S^{n+1}\) (Q1775355)
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scientific article; zbMATH DE number 2166110
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Flat Möbius hypersurfaces in \(S^{n+1}\) |
scientific article; zbMATH DE number 2166110 |
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Flat Möbius hypersurfaces in \(S^{n+1}\) (English)
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6 May 2005
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It is proved that if \(x: {\mathbf M} \to {\mathbf S}^{n+1}\) \((n\geq 3)\) is a flat Möbius hypersurface and not generic, the Möbius form of \(x\) vanishes. All such hypersurfaces are classified. A hypersurface in \({\mathbf S}^4\) is called generic if its Möbius second fundamental form has three distinct non-constant eigenvalues.
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flat Möbius hypersurface
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Möbius form
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conformally flat
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