Kinematics applications of dual transformations
| dc.contributor.author | Yüca, Gülsüm | |
| dc.date.accessioned | 2021-05-03T10:52:53Z | |
| dc.date.available | 2021-05-03T10:52:53Z | |
| dc.date.issued | 2021 | |
| dc.department | Sabire Yazıcı Fen Edebiyat Fakültesi | |
| dc.description.abstract | The dual transformation between Lie groups is given in Dohi et al. (2010). In this study, a new dual transformation is defined between Lie algebras of Lie groups, allows us to obtain semi-orthogonal matrices from skew-symmetric matrices. This transition is represented by a commutative diagram. Afterward, the study is carried into dual spaces. Additionally, a new method for obtaining two surfaces which share the same curve is described. It is provided with applications and their figures are drawn in E-3 and E-1(3). Geometric and physical interpretations are also given. | |
| dc.identifier.doi | 10.1016/j.geomphys.2021.104139 | |
| dc.identifier.endpage | - | en_US |
| dc.identifier.issue | - | en_US |
| dc.identifier.scopusquality | Q1 | |
| dc.identifier.startpage | - | en_US |
| dc.identifier.uri | https:/dx.doi.org/10.1016/j.geomphys.2021.104139 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12451/7927 | |
| dc.identifier.volume | 163 | en_US |
| dc.identifier.wos | WOS:000636084800006 | |
| dc.identifier.wosquality | Q2 | |
| dc.indekslendigikaynak | Web of Science | |
| dc.indekslendigikaynak | Scopus | |
| dc.language.iso | en | |
| dc.publisher | Elsevier | |
| dc.relation.ispartof | Journal of Geometry and Physics | |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.subject | Skew-symmetric Matrices | |
| dc.subject | Semi-orthogonal matrices | |
| dc.subject | Cayley Transformation | |
| dc.subject | Dual Transformation | |
| dc.subject | Kinematics | |
| dc.title | Kinematics applications of dual transformations | |
| dc.type | Article |
