The degrees of the standard imbeddings of R-spaces (Q789023)
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scientific article; zbMATH DE number 3844570
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The degrees of the standard imbeddings of R-spaces |
scientific article; zbMATH DE number 3844570 |
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The degrees of the standard imbeddings of R-spaces (English)
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1983
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The degree d of a (homogeneous) submanifold is the number of the highest non-vanishing fundamental form. Hence \(d=1\) means ''totally geodesic'', while ''parallel second fundamental form'' implies \(d\leq 2\). Main result: \(d=2\) for all standard embedded R-spaces.
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R-space
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parallel second fundamental form
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