A compact minimal submanifold characterised by scalar curvature in the unit sphere. (Q2764360)
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scientific article; zbMATH DE number 1690363
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A compact minimal submanifold characterised by scalar curvature in the unit sphere. |
scientific article; zbMATH DE number 1690363 |
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2001
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minimal submanifold
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scalar curvature
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A compact minimal submanifold characterised by scalar curvature in the unit sphere. (English)
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The author shows that if \(M\) is an \(n\)-dimensional compact minimal submanifold of the unit \((n+p)\)-sphere \(S^{n+p}\) with scalar curvature greater than or equal to \((p-1)/(2p-1)+n^2-n-1\), then either \(M\) is totally geodesic, or \(M\) is a Veronese surface in \(S^4\), or \(M\) is the standard immersion of the product of two spheres.
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0.8495302796363831
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0.8491112589836121
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0.8397704362869263
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