EXAMPLES OF DEFORMATIONS OF NEARLY PARALLEL G(2) STRUCTURES ON 7-DIMENSIONAL 3-SASAKIAN MANIFOLDS BY CHARACTERISTIC VECTOR FIELDS
INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY, vol.7, no.2, pp.18-24, 2014 (ESCI)
- Publication Type: Article / Article
- Volume: 7 Issue: 2
- Publication Date: 2014
- Journal Name: INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY
- Journal Indexes: Emerging Sources Citation Index (ESCI)
- Page Numbers: pp.18-24
- Keywords: G(2) structure, 3-Sasakian manifold
- Anadolu University Affiliated: Yes
Abstract
It is known that 7-dimensional 3-Sasakian manifolds admit nearly parallel G(2) structures [6, 1]. In this paper, we consider three of these nearly parallel G(2) structures on a 7-dimensional 3-Sasakian manifold given in [1]. We deform the fundamental 3-forms of the manifold by three characteristic vector fields of the Sasakian structure separately. Then we determine how classes of G(2) structures change.