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Abstract and Applied Analysis
Volume 2014, Article ID 402360, 6 pages
Research Article

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

1Department of Mathematics, Faculty of Arts and Sciences, Erzincan University, 24000 Erzincan, Turkey
2Department of Mathematics, Faculty of Sciences, Ankara University, 06000 Ankara, Turkey

Received 27 October 2013; Accepted 14 February 2014; Published 6 April 2014

Academic Editor: Bernhard Ruf

Copyright © 2014 Sezai Kızıltuğ and Yusuf Yaylı. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.