On relative hypersurfaces with parallel shape operator (Q1773438)
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scientific article; zbMATH DE number 2163344
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On relative hypersurfaces with parallel shape operator |
scientific article; zbMATH DE number 2163344 |
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On relative hypersurfaces with parallel shape operator (English)
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29 April 2005
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The main result of the paper is a complete local classification of relative normalized hypersurfaces in \(\mathbb{R}^{n+1}\) (in case \(n= 2,3\)) with parallel shape operator (with respect to the connection induced by the relative normal). It is shown that a surface of this type has to be a relative sphere or a certain ruled surface.
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relative hypersurfaces
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parallel shape operator
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ruled surfaces
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