Applications of a Special Generalized Quasi-Einstein Manifold

KIRIK B., Zengin F.

BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, cilt.45, sa.1, ss.89-102, 2019 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 45 Sayı: 1
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1007/s41980-018-0121-y
  • Dergi Adı: BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.89-102
  • Anahtar Kelimeler: Generalized quasi-Einstein manifold, Holonomy, Pseudo Ricci symmetric manifold, Vector field, 4-DIMENSIONAL MANIFOLDS, PROJECTIVE STRUCTURE
  • Marmara Üniversitesi Adresli: Evet

Özet

In this paper, we work on some properties of generalized quasi-Einstein and pseudo Ricci symmetric generalized quasi-Einstein manifolds. Firstly, some basic concepts about generalized quasi-Einstein manifolds are given. In the second section, the holonomy theory in 4-dimensional manifolds admitting a metric g is investigated and the holonomy algebras on these manifolds are determined. Then, we examine the existence of some vector fields on pseudo Ricci symmetric generalized quasi-Einstein manifolds and we prove some theorems. In the last section, as a special generalized quasi-Einstein space-time, pseudo Ricci symmetric generalized quasi-Einstein space-time is studied and some properties of it are obtained.