CR-hypersurfaces of complex projective space (Q1335522)
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scientific article; zbMATH DE number 650835
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | CR-hypersurfaces of complex projective space |
scientific article; zbMATH DE number 650835 |
Statements
CR-hypersurfaces of complex projective space (English)
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9 October 1994
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Let \(M\) be a compact, minimal, foliate, CR-real hypersurface of the \(n\)-dimensional complex projective space \(\mathbb{C} P^ n\) equipped with the Fubini-Study metric of constant holomorphic sectional curvature 4. If the square of the length of the second fundamental form of \(M\) is \(\leq 2n - 2\), then \(n = 1\) and \(M\) is totally geodesic in \(\mathbb{C} P^ 1\).
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complex projective space
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minimal submanifolds
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CR-submanifolds
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