On split-octonionic curves
| dc.authorid | AKBIYIK, Mucahit/0000-0002-0256-1472 | |
| dc.contributor.author | Alo, Jeta | |
| dc.contributor.author | Akbiyik, Mucahit | |
| dc.date.accessioned | 2025-03-09T10:48:52Z | |
| dc.date.available | 2025-03-09T10:48:52Z | |
| dc.date.issued | 2024 | |
| dc.department | İstanbul Beykent Üniversitesi | |
| dc.description.abstract | In this paper, we first define the vector product in Minkowski space $\mathbb{R}_{4}<^>{7}$ , which is identified with the space of spatial split-octonions. Next, we derive the $G_{2}-$ frame formulae for a seven dimensional Minkowski curve by using the spatial split-octonions and the vector product. We show that Frenet-Serret formulas are satisfied for a spatial split octonionic curve. We obtain the congruence of two spatial split octonionic curves and give relationship between the $G_{2}-$ frame and Frenet-Serret frame. Furthermore, we present the Frenet-Serret frame with split octonions in $\mathbb{R}_{4}<^>{8}$ . Finally, we give illustrative examples with Matlab codes. | |
| dc.description.sponsorship | Istanbul Beykent University Scientific Research Projects Coordination Unit [2023- 24-BAP-01, 2024] | |
| dc.description.sponsorship | This research has been supported by Istanbul Beykent University Scientific Research Projects Coordination Unit. Project Number: 2023- 24-BAP-01, 2024. | |
| dc.identifier.doi | 10.1093/jigpal/jzae039 | |
| dc.identifier.issn | 1367-0751 | |
| dc.identifier.issn | 1368-9894 | |
| dc.identifier.scopusquality | Q1 | |
| dc.identifier.uri | https://doi.org/10.1093/jigpal/jzae039 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12662/4678 | |
| dc.identifier.wos | WOS:001193084400001 | |
| dc.identifier.wosquality | Q2 | |
| dc.indekslendigikaynak | Web of Science | |
| dc.language.iso | en | |
| dc.publisher | Oxford Univ Press | |
| dc.relation.ispartof | Logic Journal of the Igpl | |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
| dc.rights | info:eu-repo/semantics/closedAccess | |
| dc.snmz | KA_WOS_20250310 | |
| dc.subject | 53A35 | |
| dc.subject | 11R52 | |
| dc.subject | 14H50 | |
| dc.title | On split-octonionic curves | |
| dc.type | Article |
