Surfaces of finite type with constant mean curvature (Q1316516)
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scientific article; zbMATH DE number 515596
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Surfaces of finite type with constant mean curvature |
scientific article; zbMATH DE number 515596 |
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Surfaces of finite type with constant mean curvature (English)
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14 January 1996
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The authors prove the following results for finite type surfaces in the Euclidean 3-space \(E^3\). Theorem 1: A 3-type surface in \(E^3\) has nonconstant mean curvature. Theorem 2: Ordinary spheres, planes, catenoids and circular cylinders are the only surfaces of revolution with constant mean curvature in \(E^3\) which are of finite type.
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surface of finite type
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2-type surface
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3-type surface
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constant mean curvature
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0.9410566
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0.9377603
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0.93459505
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0.93389547
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