Umbilical surfaces of products of space forms (Q350573)
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scientific article; zbMATH DE number 6662228
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Umbilical surfaces of products of space forms |
scientific article; zbMATH DE number 6662228 |
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Umbilical surfaces of products of space forms (English)
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7 December 2016
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Let \(M\) be the product \(\mathbb{Q}^{n_1}_{k_1}\times \mathbb{Q}^{n_2}_{k_2}\) of space forms whose curvatures satisfy \(k_1+k_2\neq 0\). This paper gives the complete classification of umbilical surfaces of arbitrary codimension in \(M\). An important tool consists in the reduction of codimension.
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umbilical surfaces
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Riemannian product of space forms
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0.9389546
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0.90084004
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0.8919835
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0.8904694
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0.8891548
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