Journals / Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics / 2016 / Cilt: 65 - Sayı: 1
ON SEVEN DIMENSIONAL 3-SASAKIAN MANIFOLDS
- Journal
- Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics
- Pages
- 127–135
- DOI
- —
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 ...elds 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 ...eld. Then, byusing this deformation, new covariant derivative on the spinor bundle is obtained and the new Dirac operator is written in terms of the Dirac operatorbefore deformation.