- Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
- Vol: 65 Issue: 1
- On seven dimensional 3-Sasakian manifolds
On seven dimensional 3-Sasakian manifolds
Authors : Nilüfer Özdemir
Pages : 127-136
Doi:10.1501/Commua1_0000000748
View : 6 | Download : 5
Publication Date : 2016-02-01
Article Type : Research
Abstract :3-Sasakian manifolds in dimension seven have cocalibrated andnearly parallel G-structures. In this work, cocalibrated G-structure is deformed by one of the characteristic vector fields of the 3-Sasakian structure anda new G2structure is obtained whose metric has negative scalar curvature. Inaddition, the new G2structure has a nonzero Killing vector field. Then, by using this deformation, new covariant derivative on the spinor bundle is obtained and the new Dirac operator is written in terms of the Dirac operator before deformationKeywords : 3-Sasakian manifold, Riemannian manifold with structure group G2