Ruled \(W\)-surfaces (Q1327134)
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scientific article; zbMATH DE number 590079
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Ruled \(W\)-surfaces |
scientific article; zbMATH DE number 590079 |
Statements
Ruled \(W\)-surfaces (English)
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15 June 1994
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In the first part we give a short proof for an old result by Beltrami and Dini on ruled surfaces satisfying a nontrivial relation between \(H\) and \(K\). In the second part we solve the analogous problem for the case of a relation between \(H\) and the inner curvature \(K_{II}\) of the second fundamental form. It turns out that in this case there are nontrivial examples which are not among the classical \(W\)-surfaces.
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ruled surfaces
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inner curvature
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second fundamental form
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\(W\)-surfaces
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