On some \(L_k\)-finite-type Euclidean hypersurfaces (Q1929870)
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scientific article; zbMATH DE number 6123877
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On some \(L_k\)-finite-type Euclidean hypersurfaces |
scientific article; zbMATH DE number 6123877 |
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On some \(L_k\)-finite-type Euclidean hypersurfaces (English)
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10 January 2013
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Summary: We study some \(L_k\)-finite-type Euclidean hypersurfaces. We classify \(L_k\)-1-type Euclidean hypersurfaces and \(L_k\)-null-2-type Euclidean hypersurfaces with at most two distinct principal curvatures. We also prove that, under some mild restrictions, there exists no \(L_k\)-null-3-type Euclidean hypersurface.
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\(L_k\)-finite type
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Euclidean hypersurfaces
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\(L_k\)-1-type
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\(L_k\)-null-2-type
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\(L_k\)-null-3-type
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