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

Sezai Kızıltuğ and Yusuf Yaylı

Abstract and Applied Analysis, 2014, vol. 2014, 1-6

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.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:402360

DOI: 10.1155/2014/402360

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