Generalized fermi derivative on the hypersurfaces
| dc.contributor.author | Ucar, Aysenur | |
| dc.contributor.author | Karakuş, Fatma | |
| dc.date.accessioned | 2025-03-23T19:08:50Z | |
| dc.date.available | 2025-03-23T19:08:50Z | |
| dc.date.issued | 2022 | |
| dc.department | Sinop Üniversitesi | |
| dc.description.abstract | In this paper, generalized Fermi derivative, generalized Fermi parallelism, and generalized non-rotating frame concepts are given along any curve on any hypersurface in Eⁿ⁺¹ Euclidean space. The generalized Fermi derivative of a vector field and being generalized non-rotating conditions are analyzed along the curve on the surface in Euclidean 3-space. Then a correlation is found between generalized Fermi derivative, Fermi derivative, and Levi-Civita derivative in E³. Then we examine generalized Fermi parallel vector fields and conditions of being generalized non-rotating frame with the tensor field in E⁴. Generalizations have been made in Eⁿ. | |
| dc.identifier.doi | 10.51354/mjen.937100 | |
| dc.identifier.endpage | 115 | |
| dc.identifier.issn | 1694-7398 | |
| dc.identifier.issue | 1 | |
| dc.identifier.startpage | 110 | |
| dc.identifier.trdizinid | 1138771 | |
| dc.identifier.uri | https://doi.org/10.51354/mjen.937100 | |
| dc.identifier.uri | https://search.trdizin.gov.tr/tr/yayin/detay/1138771 | |
| dc.identifier.uri | https://hdl.handle.net/11486/3226 | |
| dc.identifier.volume | 10 | |
| dc.indekslendigikaynak | TR-Dizin | |
| dc.language.iso | en | |
| dc.relation.ispartof | Manas Journal of Engineering | |
| dc.relation.publicationcategory | Makale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanı | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.snmz | KA_TR_20250323 | |
| dc.subject | Mikroskopi | |
| dc.subject | Matematik | |
| dc.title | Generalized fermi derivative on the hypersurfaces | |
| dc.type | Article |
