| dc.creator |
ÖZDEMİR, Nülifer |
|
| dc.creator |
AKAY, Şirin |
|
| dc.date |
2017-02-18T00:00:00Z |
|
| dc.date.accessioned |
2019-07-09T12:00:35Z |
|
| dc.date.available |
2019-07-09T12:00:35Z |
|
| dc.identifier |
http://dergipark.org.tr/sdufenbed/issue/30898/334439 |
|
| dc.identifier |
10.19113/sdufbed.54977 |
|
| dc.identifier.uri |
http://acikerisim.sdu.edu.tr/xmlui/handle/123456789/46822 |
|
| dc.description |
It is known that there exist canonical and nearly parallel $G_2$ structures on 7-dimensional 3-Sasakian manifolds. In this paper, we investigate the existence of $G_2$ structures which are neither canonical nor nearly parallel. We obtain eight new $G_2$ structures on 7-dimensional 3-Sasakian manifolds which are of general type according to the classification of $G_2$ structures by Fernandez and Gray. Then by deforming the metric determined by the $G_2$ structure, we give integrable $G_2$ structures. On a manifold with integrable $G_2$ structure, there exists a uniquely determined metric covariant derivative with anti-symetric torsion. We write torsion tensors corresponding to metric covariant derivatives with skew-symmetric torsion. In addition, we investigate some properties of torsion tensors. |
|
| dc.format |
application/pdf |
|
| dc.publisher |
Süleyman Demirel University |
|
| dc.publisher |
Süleyman Demirel Üniversitesi |
|
| dc.relation |
http://dergipark.org.tr/download/article-file/334684 |
|
| dc.source |
Volume: 21, Issue: 1
254-260 |
en-US |
| dc.source |
1308-6529 |
|
| dc.subject |
G2 group,G2 structure; 3-Sasakian structure |
|
| dc.title |
Integrable G<sub>2</sub> Structures on 7-dimensional 3-Sasakian Manifolds |
en-US |
| dc.type |
info:eu-repo/semantics/article |
|