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oai:ebyu-rdlopen.rawdatalibrary.net:ebyu/156232026-10-18T20:41:17Zopenairedrivercom_ebyu_10000col_ebyu_10001

Bertrand curves of AW(k)-type in the equiform geometry of the Galilean spaceKiziltuǧ, SezaiYayli, YusufMathematics, AppliedMathematicsWe 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. © 2014 Sezai Kiziltuǧ and Yusuf Yayli.Hindawi Publishing Corporation2014Articlehttps://rdlopen.rawdatalibrary.net/r/ebyu/15623https://doi.org/10.1155/2014/4023601085-3375enAbstract and Applied Analysisinfo:eu-repo/semantics/openAccessinfo:eu-repo/semantics/articlehttps://ebyu-rdlopen.rawdatalibrary.net/tr/items/ebyu/15623