Realizing a singular first fundamental form as a nonimmersed surface in Euclidean 3-space (Q1775242)
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scientific article; zbMATH DE number 2165800
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Realizing a singular first fundamental form as a nonimmersed surface in Euclidean 3-space |
scientific article; zbMATH DE number 2165800 |
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Realizing a singular first fundamental form as a nonimmersed surface in Euclidean 3-space (English)
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6 May 2005
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Local properties of the first fundamental form for a surface in the Euclidean space \(E^{3}\), which fails to immerse on a small set, are obtained. Then the author finds local conditions on a singular analytic (0,2)-tensor so that there exists a 1-resolvable map which realizes the given tensor as a first fundamental form.
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isometric immersion
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resolvable surface
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singular first fundamental form
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singular hypersurface
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