On the Curvature Properties of Manifolds with Deformed G (2) Structures
MATHEMATICAL NOTES, cilt.103, sa.3-4, ss.447-452, 2018 (SCI-Expanded, Scopus)
- 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.