A New Approach To Homothetic Motions With Tessarines In Semi-Euclidean Space E??
| dc.authorid | 138572 | en_US |
| dc.contributor.author | Babadag, Faik | |
| dc.date.accessioned | 2018-01-07T09:41:00Z | |
| dc.date.available | 2018-01-07T09:41:00Z | |
| dc.date.issued | 2017 | |
| dc.department | İstanbul Beykent Üniversitesi | en_US |
| dc.description.abstract | In this study, by using tessarines in 4-dimension semi-Euclidean space, we describe a variety of algebraic properties and give a matrix that is similar to Hamilton operators and we show that the hypersurfaces are obtained and a new motion is defined in E??. Then, this motion is proven to be homothetic motion. For this one parameter homothetic motion, we defined some theorems about velocities, pole points, and pole curves. Finally, It is found that this motion defined by the regular curve of order r on the hypersurface M??, at every t- instant, has only one acceleration centre of order (R ? 1). Due to the way in which the matter is given with tessarines, the study gives some formulas, facts and properties about homothetic motion and variety of algebraic properties which are not generally known. | en_US |
| dc.identifier.citation | Cilt 10 , Sayı 2, 2017, 79 – 92 | tr_TR |
| dc.identifier.doi | 10.20854/bujse.372177 | |
| dc.identifier.issn | 1307-3818 | |
| dc.identifier.uri | https://doi.org/10.20854/bujse.372177 | |
| dc.language.iso | en | en_US |
| dc.publisher | Beykent Üniversitesi | tr_TR |
| dc.relation.publicationcategory | Makale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.subject | Tessarines | tr_TR |
| dc.subject | Homothetic motions | tr_TR |
| dc.subject | Pole curves | tr_TR |
| dc.subject | Hypersurface | tr_TR |
| dc.title | A New Approach To Homothetic Motions With Tessarines In Semi-Euclidean Space E?? | en_US |
| dc.type | Article | en_US |
