Isometric immersions of the Lobachevskij plane in \(E^ 4\) (Q911056)
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scientific article; zbMATH DE number 4142931
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Isometric immersions of the Lobachevskij plane in \(E^ 4\) |
scientific article; zbMATH DE number 4142931 |
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Isometric immersions of the Lobachevskij plane in \(E^ 4\) (English)
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1989
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The author proves that the Lobachevsky plane admits an isometric immersion into a 4-dimensional Euclidean space as a generalized \(C^{0,1}\)-surface of rotation, but there is no generalized \(C^ 1\)- surface of rotation which is isometric to the Lobachevsky plane.
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isometric immersion
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surface of rotation
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Lobachevsky plane
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