On characterization of horizontal biharmonic curves in \(\mathbb H^2 \times \mathbb R\) (Q2906188)
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scientific article; zbMATH DE number 6077200
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On characterization of horizontal biharmonic curves in \(\mathbb H^2 \times \mathbb R\) |
scientific article; zbMATH DE number 6077200 |
Statements
5 September 2012
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biharmonic curves
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helices
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horizontal curves
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On characterization of horizontal biharmonic curves in \(\mathbb H^2 \times \mathbb R\) (English)
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The authors characterize the non-harmonic (non-geodesic) biharmonic curves in \(\mathbb{H}^2\times\mathbb{R}\), and prove that these are helices. Further, for the horizontal curves of such type, they describe the explicit parametric equations.
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