EXAMPLES OF DEFORMATIONS OF NEARLY PARALLEL G(2) STRUCTURES ON 7-DIMENSIONAL 3-SASAKIAN MANIFOLDS BY CHARACTERISTIC VECTOR FIELDS

ÖZDEMİR N., Aktay S.

INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY, vol.7, no.2, pp.18-24, 2014 (ESCI) identifier

  • 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.