Classical differential geometry of curves according to type-2 Bishop trihedra (Q634481)
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scientific article; zbMATH DE number 5939119
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Classical differential geometry of curves according to type-2 Bishop trihedra |
scientific article; zbMATH DE number 5939119 |
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Classical differential geometry of curves according to type-2 Bishop trihedra (English)
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16 August 2011
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The author deals with the theory of curves \(C\) in the three-dimensional Euclidean space with respect to their so-called ``type-2 Bishop frame'', the Frénet frame after having been turmed with the angle \(\int\kappa ds\) (\(s\) resp. \(\kappa\) arclength resp. curvature of \(C\)) about the binormal of \(C\). Hereby he focuses on the curves of constant slope and the spherical curves.
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type-2 Bishop frame of a curve
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general helix
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spherical curve
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