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Bertrand curves of AW(k)-type in the equiform geometry of the Galilean space

ArticleAçık Erişim

Özet

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. © 2014 Sezai Kiziltuǧ and Yusuf Yayli.

Anahtar Kelimeler

Mathematics, AppliedMathematics
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/ebyu/15623Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.1155/2014/402360Yayıncı resmi DOI adresi
Tam Kayıt
AlanDeğerDil
dc.contributor.authorKiziltuǧ, Sezai
dc.contributor.authorYayli, Yusuf
dc.date.accessioned2026-10-18T20:30:28.207427083Z
dc.date.available2026-10-18T20:30:28.207427083Z
dc.date.issued2014
dc.description.abstractWe 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.
dc.identifier.doi10.1155/2014/402360
dc.identifier.eissn1687-0409
dc.identifier.issn1085-3375
dc.identifier.scopus2-s2.0-84900015064
dc.identifier.startpage402360
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/ebyu/15623
dc.identifier.volume2014
dc.identifier.wosWOS:000334753800001
dc.language.isoen
dc.publisherHindawi Publishing Corporation
dc.relation.ispartofAbstract and Applied Analysis
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectMathematics, Applied
dc.subjectMathematics
dc.titleBertrand curves of AW(k)-type in the equiform geometry of the Galilean space
dc.typeArticle
dspace.entity.typePublication
rdl.citation.scopus6
rdl.citation.wos7
rdl.oa.statusgold
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexScience Citation Index Expanded (SCI-EXPANDED)