| dc.creator |
Abali, Bahar |
|
| dc.creator |
YÜCESAN, Ahmet |
|
| dc.date |
2022-01-01T00:00:00Z |
|
| dc.date.accessioned |
2023-01-09T12:02:17Z |
|
| dc.date.available |
2023-01-09T12:02:17Z |
|
| dc.identifier |
48cceea7-fcab-4045-b2eb-c4c9a672c900 |
|
| dc.identifier |
10.31801/cfsuasmas.877170 |
|
| dc.identifier |
https://avesis.sdu.edu.tr/publication/details/48cceea7-fcab-4045-b2eb-c4c9a672c900/oai |
|
| dc.identifier.uri |
http://acikerisim.sdu.edu.tr/xmlui/handle/123456789/97812 |
|
| dc.description |
In this work, we firstly introduce notions of principal directed curves and principal donor curves which are associated curves of a Frenet curve in the dual Lorentzian space D-1(3). We give some relations between the curvature and the torsion of a dual principal directed curve and the curvature and the torsion of a dual principal donor curve. We show that the dual principal directed curve of a dual general helix is a plane curve and obtain the equation of dual general helix by using position vector of plane curve. Then we show that the principal donor curve of a circle in D-2 or a hyperbola in D-1(2) and the principal directed curve of a slant helix in D-1(3) are a helix and general helix, respectively. We explain with an example for the second case. Finally, according to causal character of the principal donor curve of principal directed rectifying curve in D-1(3), we show this curve to correspond to any timelike or spacelike ruled surface in Minkowski 3-space R-1(3). |
|
| dc.language |
eng |
|
| dc.rights |
info:eu-repo/semantics/openAccess |
|
| dc.title |
ASSOCIATED CURVES OF A FRENET CURVE IN THE DUAL LORENTZIAN SPACE |
|
| dc.type |
info:eu-repo/semantics/article |
|