On split-octonionic curves
| dc.contributor.author | Alo, Jeta | |
| dc.contributor.author | Akbıyık, Mücahit | |
| dc.date.accessioned | 2026-01-31T15:04:22Z | |
| dc.date.available | 2026-01-31T15:04:22Z | |
| dc.date.issued | 2025 | |
| dc.department | İstanbul Beykent Üniversitesi | |
| dc.description.abstract | In this paper, we first define the vector product in Minkowski space R<inf>4</inf>7, which is identified with the space of spatial split-octonions. Next, we derive the G<inf>2</inf>- 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<inf>2</inf>- frame and Frenet–Serret frame. Furthermore, we present the Frenet–Serret frame with split octonions in R<inf>4</inf>8. Finally, we give illustrative examples with Matlab codes. © The Author(s) 2024. Published by Oxford University Press. All rights reserved. | |
| dc.description.sponsorship | (2023- 24-BAP-01) | |
| dc.identifier.doi | 10.1093/jigpal/jzae039 | |
| dc.identifier.issn | 1367-0751 | |
| dc.identifier.issue | 6 | |
| dc.identifier.scopus | 2-s2.0-105017559198 | |
| dc.identifier.scopusquality | Q2 | |
| dc.identifier.uri | https://doi.org/10.1093/jigpal/jzae039 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12662/10513 | |
| dc.identifier.volume | 33 | |
| dc.indekslendigikaynak | Scopus | |
| dc.language.iso | en | |
| dc.publisher | Oxford University 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_Scopus_20260128 | |
| dc.subject | 11R52 | |
| dc.subject | 14H50 | |
| dc.subject | 53A35 | |
| dc.title | On split-octonionic curves | |
| dc.type | Article |
