Bertrand Curves of AW(k)-Type in the Equiform Geometry of the Galilean Space. (6th April 2014)

• Record Type: Journal Article
• Authors: Kızıltuğ, Sezai; Yaylı, Yusuf
• Other Names: Ruf Bernhard Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2014(2014)
• Publication Date: 2014-04-06
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2014/402360
• Languages: English
• ISSNs: 1085-3375

Abstract

Abstract : We consider curves of AW(k )-type (1 ≤ k ≤ 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.