The Fermi-Walker Derivative in Minkowski Space
| dc.contributor.author | Karakus, Fatma | |
| dc.contributor.author | Yayli, Yusuf | |
| dc.date.accessioned | 2025-03-23T19:44:47Z | |
| dc.date.available | 2025-03-23T19:44:47Z | |
| dc.date.issued | 2017 | |
| dc.department | Sinop Üniversitesi | |
| dc.description.abstract | In this study Fermi-Walker derivative, Fermi-Walker parallelism, non-rotating frame, Fermi-Walker terms Darboux vector concepts are given for Minkowski 3-space . First, we get any spacelike curve with a spacelike or timelike principal normal and any vector field along the curve in Minkowski 3-space . Fermi-Walker derivative and Fermi-Walker parallelism are analyzed for any spacelike curve with a spacelike or timelike principal normal in Minkowski 3-space and the necessary conditions to be Fermi-Walker parallel are explained. Then the necessary definitions, concepts and theorems are analyzed about Fermi-Walker derivative for any spacelike curve with a lightlike(null) principal normal. And then, in Minkowski 3-space Fermi-Walker derivative is analyzed for any timelike curves. | |
| dc.identifier.doi | 10.1007/s00006-016-0719-1 | |
| dc.identifier.endpage | 1368 | |
| dc.identifier.issn | 0188-7009 | |
| dc.identifier.issn | 1661-4909 | |
| dc.identifier.issue | 2 | |
| dc.identifier.scopus | 2-s2.0-84982176816 | |
| dc.identifier.scopusquality | Q3 | |
| dc.identifier.startpage | 1353 | |
| dc.identifier.uri | https://doi.org/10.1007/s00006-016-0719-1 | |
| dc.identifier.uri | https://hdl.handle.net/11486/7018 | |
| dc.identifier.volume | 27 | |
| dc.identifier.wos | WOS:000401669000030 | |
| dc.identifier.wosquality | Q2 | |
| dc.indekslendigikaynak | Web of Science | |
| dc.indekslendigikaynak | Scopus | |
| dc.language.iso | en | |
| dc.publisher | Springer Basel Ag | |
| dc.relation.ispartof | Advances in Applied Clifford Algebras | |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
| dc.rights | info:eu-repo/semantics/closedAccess | |
| dc.snmz | KA_WOS_20250323 | |
| dc.subject | Fermi-Walker derivative | |
| dc.subject | Fermi-Walker parallelism | |
| dc.subject | Non-rotating frame | |
| dc.subject | Spacelike curve | |
| dc.subject | Timelike curve | |
| dc.subject | Frenet frame | |
| dc.subject | Darboux vector | |
| dc.title | The Fermi-Walker Derivative in Minkowski Space | |
| dc.type | Article |
