Decomposition of the Darboux rotation into two plane rotations (Q686653)
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scientific article; zbMATH DE number 428593
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Decomposition of the Darboux rotation into two plane rotations |
scientific article; zbMATH DE number 428593 |
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Decomposition of the Darboux rotation into two plane rotations (English)
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13 October 1993
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The Darboux rotation of the Frenet frame of a Frenet curve in 3-space is decomposed into two simultaneous rotations which can be coupled by a simple mechanism. From this point of view solutions of the Frenet equations are discussed. In particular, a necessary condition is obtained for a space curve in terms of its invariants in order to be closed.
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Darboux rotation
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Frenet frame
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Frenet curve
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0.8667815
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0.8493966
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0.8492849
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