3-type curves in the Euclidean space \(E^4\) (Q2723973)
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scientific article; zbMATH DE number 1615311
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | 3-type curves in the Euclidean space \(E^4\) |
scientific article; zbMATH DE number 1615311 |
Statements
8 July 2001
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finite type
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Euclidean space
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Fourier series expansion
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3-type curves in the Euclidean space \(E^4\) (English)
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A closed curve in a Euclidean space is of \(k\)-type (\(k\in N\)) if its Fourier series expansion with respect to an arc length parameter has exactly \(k\) nonzero terms. In this paper the author gives a complete classification of \(3\)-type curves in the Euclidean space \(E^4\), thus obtaining some cases and situations which are contradictory in the space \(E^3\).
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