A differential equation for lines of curvature on surfaces immersed in \(\mathbb{R}^4\) (Q1773057)
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scientific article; zbMATH DE number 2161118
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A differential equation for lines of curvature on surfaces immersed in \(\mathbb{R}^4\) |
scientific article; zbMATH DE number 2161118 |
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A differential equation for lines of curvature on surfaces immersed in \(\mathbb{R}^4\) (English)
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23 April 2005
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In the main result of the paper, the authors establish a differential equation for the lines of curvature of a smooth immersion of a surface into 4-dimensional Euclidean space. The equation is phrased in the isothermal coordinates. They mention some consequences of the main result.
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line of curvature
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smooth immersion
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isothermal coordinates
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