Quaternionic Curves Which Lie on the Special Planes in 4−Dimensional Euclidean Space E4

İlim Kişi, Sezgin Büyükkütük, Günay Öztürk and Erhan Güler

Journal of Mathematics, 2024, vol. 2024, 1-8

Abstract: In this study, some curvature conditions of quaternionic curves are obtained by writing the position vectors of quaternionic curves as linear combinations of new vector fields, named as Di 1≤i≤4, that are produced from Frenet frame fields of the quaternionic curves. Also, the relations between DiDj-quaternionic curves and the rectifying quaternionic curves and the osculating quaternionic curves are presented. Moreover, the results obtained are illustrated with an example in which the new vector fields are examined.

Date: 2024
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/jmath/2024/7371913.pdf (application/pdf)
http://downloads.hindawi.com/journals/jmath/2024/7371913.xml (application/xml)

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:hin:jjmath:7371913

DOI: 10.1155/2024/7371913

Access Statistics for this article

More articles in Journal of Mathematics from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().