Bertrand curves of AW(\(k\))-type in the equiform geometry of the Galilean space (Q1724040)
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scientific article; zbMATH DE number 7022320
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Bertrand curves of AW(\(k\))-type in the equiform geometry of the Galilean space |
scientific article; zbMATH DE number 7022320 |
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Bertrand curves of AW(\(k\))-type in the equiform geometry of the Galilean space (English)
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14 February 2019
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Summary: We consider curves of AW(\(k\))-type (\(1 \leq k \leq 3\)) in the equiform geometry of the Galilean space \(G_3\). We give curvature conditions of curves of AW(\(k\))-type. Furthermore, we investigate Bertrand curves in the equiform geometry of \(G_3\). We have shown that Bertrand curve in the equiform geometry of \(G_3\) is a circular helix. Besides, considering AW(\(k\))-type curves, we show that there are Bertrand curves of weak AW(2)-type and AW(3)-type. But, there are no such Bertrand curves of weak AW(3)-type and AW(2)-type.
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