On three-dimensional CR-submanifolds of a Kaehler manifold (Q1842739)
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scientific article; zbMATH DE number 746182
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On three-dimensional CR-submanifolds of a Kaehler manifold |
scientific article; zbMATH DE number 746182 |
Statements
On three-dimensional CR-submanifolds of a Kaehler manifold (English)
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18 May 1995
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Let \(M\) be a totally umbilical proper 3-dimensional CR-submanifold of a Kähler manifold \(\overline {M}\). Suppose the holomorphic sectional curvature of \(M\) is nonpositive. The author proves that \(M\) is totally geodesic.
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CR-submanifold
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Kähler manifold
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holomorphic sectional curvature
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0.96476305
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0.9234758
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0.92240655
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0.92208034
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