| dc.creator |
(BAYRAK) GÜRSES, Nurten |
|
| dc.creator |
BEKTAŞ, Özcan |
|
| dc.creator |
YÜCE, Salim |
|
| dc.date |
2017-06-13T00:00:00Z |
|
| dc.date.accessioned |
2019-07-09T11:58:44Z |
|
| dc.date.available |
2019-07-09T11:58:44Z |
|
| dc.identifier |
http://dergipark.org.tr/sdufenbed/issue/34634/382565 |
|
| dc.identifier |
10.19113/sdufbed.14005 |
|
| dc.identifier.uri |
http://acikerisim.sdu.edu.tr/xmlui/handle/123456789/45945 |
|
| dc.description |
In this study, a brief summary about quaternions and quaternionic curves are firstly presented. Also, the definition of focal curve is given. The focal curve of a smooth curve consists of the centers of its osculating hypersphere. By using this definition and the quaternionic osculating hyperspheres of these curves, the quaternionic focal curves in the spaces $\Q$ and $\Q_\nu$ with index $\nu=\{1,2\}$ are discussed. Some relations about spatial semi-real quaternionic curves and semi-real quaternionic curves are examined by using focal curvatures and "scalar Frenet equations" between the focal curvatures. Then, the notions: such as vertex, flattenings, a symmetry point are defined for these curves. Moreover, the relation between the Frenet apparatus of a quaternionic curve and the Frenet apparatus of its quaternionic focal curve are presented. |
|
| dc.format |
application/pdf |
|
| dc.publisher |
Süleyman Demirel University |
|
| dc.publisher |
Süleyman Demirel Üniversitesi |
|
| dc.relation |
http://dergipark.org.tr/download/article-file/409380 |
|
| dc.source |
Volume: 21, Issue: 2
357-366 |
en-US |
| dc.source |
1308-6529 |
|
| dc.subject |
Quaternions,Quaternionic curves; Osculating hypersphere; Focal curves; Semi-Euclidean space |
|
| dc.title |
On the Quaternionic Focal Curves |
en-US |
| dc.type |
info:eu-repo/semantics/article |
|