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, cilt.7, sa.2, ss.18-24, 2014 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 7 Sayı: 2
  • Basım Tarihi: 2014
  • Dergi Adı: INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.18-24
  • Anahtar Kelimeler: G(2) structure, 3-Sasakian manifold
  • Anadolu Üniversitesi Adresli: Evet

Özet

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.