Improper affine spheres in \(\mathbb{R}^ 3\) and \(\mathbb{C}^ 3\) (Q1311024)
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scientific article; zbMATH DE number 484138
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Improper affine spheres in \(\mathbb{R}^ 3\) and \(\mathbb{C}^ 3\) |
scientific article; zbMATH DE number 484138 |
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Improper affine spheres in \(\mathbb{R}^ 3\) and \(\mathbb{C}^ 3\) (English)
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26 June 1994
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All polynomial improper affine spheres in \(\mathbb{R}^ 3\) and \(\mathbb{C}^ 3\) without any curvature conditions are determined; A polynomial improper affine sphere in \(\mathbb{R}^ 3\) or \(\mathbb{C}^ 3\) is either a quadric or the ruled surface \(z=xy+f(x)\).
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Monge-Ampère equation
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improper affine spheres
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quadric
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ruled surface
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