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

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  • Sezai Kızıltuğ
  • Yusuf Yaylı

Abstract

We consider curves of AW( )-type ( ) in the equiform geometry of the Galilean space . We give curvature conditions of curves of AW( )-type. Furthermore, we investigate Bertrand curves in the equiform geometry of . We have shown that Bertrand curve in the equiform geometry of is a circular helix. Besides, considering AW( )-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.

Suggested Citation

  • Sezai Kızıltuğ & Yusuf Yaylı, 2014. "Bertrand Curves of AW( )-Type in the Equiform Geometry of the Galilean Space," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-6, April.
    • Handle: RePEc:hin:jnlaaa:402360
    DOI: 10.1155/2014/402360
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