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

Sezai Kızıltuğ and Yusuf Yaylı

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: We 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.

Date: 2014
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1155/2014/402360

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:402360

Access Statistics for this article

More articles in Abstract and Applied Analysis from John Wiley & Sons
Bibliographic data for series maintained by Wiley Content Delivery ().