On the Curvature Properties of Manifolds with Deformed G (2) Structures


Ozdemir N., Aktay S.

MATHEMATICAL NOTES, cilt.103, sa.3-4, ss.447-452, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 103 Sayı: 3-4
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1134/s0001434618030100
  • Dergi Adı: MATHEMATICAL NOTES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.447-452
  • Anahtar Kelimeler: G(2)-structure, curvature, G(2)-STRUCTURES, DEFORMATIONS
  • Anadolu Üniversitesi Adresli: Evet

Özet

In this paper, we study the curvature properties of a manifold with structure group G (2) whose fundamental 3-form is deformed by a Killing vector field of unit length. We obtain some results concerning conditions under which this manifold is flat, Einstein, or isometric to the unit sphere.