A classification of ruled surfaces of finite type in \(S^ 3\) (Q1331272)
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scientific article; zbMATH DE number 621991
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A classification of ruled surfaces of finite type in \(S^ 3\) |
scientific article; zbMATH DE number 621991 |
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A classification of ruled surfaces of finite type in \(S^ 3\) (English)
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21 August 1994
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It is proved that a regular, connected ruled surface in \(S^ 3\) is of finite type if and only if it is an open part of a ruled minimal surface of \(S^ 3\) or an open part of a Riemannian product of two circles of different radii. This must be related to a result of \textit{T. Takahashi} [J. Math. Soc. Japan 18, 380-385 (1966; Zbl 0145.186)] which states that ruled minimal surfaces in \(S^ 3\) are of finite type.
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ruled surface
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finite type
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minimal surface
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