Indefinite affine umbilical surfaces in \(\mathbb{R}^4\) (Q1972296)
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scientific article; zbMATH DE number 1436007
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Indefinite affine umbilical surfaces in \(\mathbb{R}^4\) |
scientific article; zbMATH DE number 1436007 |
Statements
Indefinite affine umbilical surfaces in \(\mathbb{R}^4\) (English)
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4 December 2000
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Let \(f: M^2\to \mathbb{R}^4\) be an affine surface with indefinite affine metric; let \(g^{\perp}\) denote the transversal bundle metric and \(\nabla^{\perp}\) the induced normal connection. The classification of the indefinite affine umbilical surfaces in \(\mathbb{R}^4\) such that \(\nabla^{\perp}g^{\perp}=0\) is given.
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equiaffine normal bundle
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affine mean curvature
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