On the quaternionic Mannheim curves of Aw(k)-type in Euclidean space E3

Kiziltuʇ, Sezai; Yayli, Yusuf

On the quaternionic Mannheim curves of Aw(k)-type in Euclidean space E3

ArticleAçık Erişim

Özet

In this paper, we consider that the curvature conditions of Aw(k)-type (1 ≤ k ≤ 3) quaternionic curves in Euclidean space E3 and investigates quaternionic Mannheim curves α:I → Q with k ≠ 0 and r ≠ 0. Besides, we show that quaternionic Mannheim curves are Aw(2)-type and Aw(3)-type quaternionic curves in E3. But, there is no such a Mannheim curve of Aw(1) -type.

Anahtar Kelimeler

Aw(k)-type curve General helix Mannheim curves Quaternion algebra

RDL Kalıcı Bağlantı (PID)

https://rdlopen.rawdatalibrary.net/r/ebyu/15334Resmi atıflarda kullanılan kalıcı adres

Tam Kayıt

Alan	Değer	Dil
dc.contributor.author	Kiziltuʇ, Sezai
dc.contributor.author	Yayli, Yusuf
dc.date.accessioned	2026-10-18T20:30:09.080177210Z
dc.date.available	2026-10-18T20:30:09.080177210Z
dc.date.issued	2015
dc.description.abstract	In this paper, we consider that the curvature conditions of Aw(k)-type (1 ≤ k ≤ 3) quaternionic curves in Euclidean space E3 and investigates quaternionic Mannheim curves α:I → Q with k ≠ 0 and r ≠ 0. Besides, we show that quaternionic Mannheim curves are Aw(2)-type and Aw(3)-type quaternionic curves in E3. But, there is no such a Mannheim curve of Aw(1) -type.
dc.identifier.endpage	140
dc.identifier.issn	2307-4108
dc.identifier.issue	2
dc.identifier.scopus	2-s2.0-84932145051
dc.identifier.startpage	128
dc.identifier.uri	https://rdlopen.rawdatalibrary.net/r/ebyu/15334
dc.identifier.volume	42
dc.language.iso	en
dc.publisher	University of Kuwait
dc.relation.ispartof	Kuwait Journal of Science
dc.rights	info:eu-repo/semantics/openAccess
dc.subject	Aw(k)-type curve
dc.subject	General helix
dc.subject	Mannheim curves
dc.subject	Quaternion algebra
dc.title	On the quaternionic Mannheim curves of Aw(k)-type in Euclidean space E3
dc.type	Article
dspace.entity.type	Publication
rdl.citation.scopus	5
rdl.source.index	SCOPUS