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Bertrand Curves of AW(k)‐Type in the Equiform Geometry of the Galilean Space

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  • Sezai Kızıltuğ
  • Yusuf Yaylı

Abstract

We consider curves of AW(k)‐type (1 ≤ k ≤ 3) in the equiform geometry of the Galilean space G3. We give curvature conditions of curves of AW(k)‐type. Furthermore, we investigate Bertrand curves in the equiform geometry of G3. We have shown that Bertrand curve in the equiform geometry of G3 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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Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:402360
DOI: 10.1155/2014/402360
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