Surfaces of constant Gauss curvature in Lorentz-Minkowski three-space (Q1430431)
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scientific article; zbMATH DE number 2067060
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Surfaces of constant Gauss curvature in Lorentz-Minkowski three-space |
scientific article; zbMATH DE number 2067060 |
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Surfaces of constant Gauss curvature in Lorentz-Minkowski three-space (English)
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27 May 2004
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Cyclic surfaces of constant Gauss curvature in Lorentz-Minkowski 3-space are examined. A surface is said to be cyclic if and only if there is a one-parameter family of planes which meet it in pieces of circles. The author shows that if the Gauss curvature of such a surface is a non-zero constant then we have a surface of revolution. He also effectively describes the parametrizations for the surface when the Gauss curvature is zero.
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Lorentz-Minkowski three-space
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cyclic surface
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