On seven dimensional 3-Sasakian manifolds

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Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
Volume:65 Issue:1
On seven dimensional 3-Sasakian manifolds

On seven dimensional 3-Sasakian manifolds

Authors : Nilüfer ÖZDEMİR

Pages : 127-136

Doi:10.1501/Commua1_0000000748

View : 117 | Download : 6

Publication Date : 2016-02-01

Article Type : Research Paper

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 deformation
Keywords : 3 Sasakian manifold, Riemannian manifold with structure group G2

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