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

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

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...

Full description

Bibliographic Details
Main Authors: Sezai Kızıltuğ, Yusuf Yaylı
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/402360
id doaj-9850955e34c7479cbcd4e63548164c0e
record_format Article
spelling doaj-9850955e34c7479cbcd4e63548164c0e2020-11-24T23:20:07ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/402360402360Bertrand Curves of AW(k)-Type in the Equiform Geometry of the Galilean SpaceSezai Kızıltuğ0Yusuf Yaylı1Department of Mathematics, Faculty of Arts and Sciences, Erzincan University, 24000 Erzincan, TurkeyDepartment of Mathematics, Faculty of Arts and Sciences, Erzincan University, 24000 Erzincan, TurkeyWe 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.http://dx.doi.org/10.1155/2014/402360
collection DOAJ
language English
format Article
sources DOAJ
author Sezai Kızıltuğ
Yusuf Yaylı
spellingShingle Sezai Kızıltuğ
Yusuf Yaylı
Bertrand Curves of AW(k)-Type in the Equiform Geometry of the Galilean Space
Abstract and Applied Analysis
author_facet Sezai Kızıltuğ
Yusuf Yaylı
author_sort Sezai Kızıltuğ
title Bertrand Curves of AW(k)-Type in the Equiform Geometry of the Galilean Space
title_short Bertrand Curves of AW(k)-Type in the Equiform Geometry of the Galilean Space
title_full Bertrand Curves of AW(k)-Type in the Equiform Geometry of the Galilean Space
title_fullStr Bertrand Curves of AW(k)-Type in the Equiform Geometry of the Galilean Space
title_full_unstemmed Bertrand Curves of AW(k)-Type in the Equiform Geometry of the Galilean Space
title_sort bertrand curves of aw(k)-type in the equiform geometry of the galilean space
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2014-01-01
description 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.
url http://dx.doi.org/10.1155/2014/402360
work_keys_str_mv AT sezaikızıltug bertrandcurvesofawktypeintheequiformgeometryofthegalileanspace
AT yusufyaylı bertrandcurvesofawktypeintheequiformgeometryofthegalileanspace
_version_ 1725576001748992000

Similar Items