Singularities of translation surfaces in the Euclidean 3-space (Q2114995)
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scientific article; zbMATH DE number 7490200
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Singularities of translation surfaces in the Euclidean 3-space |
scientific article; zbMATH DE number 7490200 |
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Singularities of translation surfaces in the Euclidean 3-space (English)
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15 March 2022
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In this paper, the authors study translation surfaces from a singularity theory viewpoint. They study singular points of translation surfaces using the method of framed surfaces and also the method of one-parameter families of framed curves. A framed surface is a smoothly parametrized surface in the Euclidean 3-space with a moving frame. By using the curvatures of one-parameter families of framed curves, the authors give relations between framed surfaces and one-parameter families of framed curves.
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translation surface
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framed surface
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one-parameter family of framed curves
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singularity
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