Notes on conformal and non-conformal transformation metrics of generalized quasi-Einstein manifolds

Gezer A., Djaa N. E., De U. C.

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, cilt.22, sa.08, 2025 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 22 Sayı: 08
  • Basım Tarihi: 2025
  • Doi Numarası: 10.1142/s0219887825500380
  • Dergi Adı: INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Metadex, zbMATH, Civil Engineering Abstracts
  • Atatürk Üniversitesi Adresli: Evet

Özet

In this paper, we focus on the characterizations and properties of quasi-Einstein and generalized quasi-Einstein manifolds with certain vector fields. Also we establish the necessary and sufficient conditions for these manifolds to be Ricci semi-symmetric, pseudo-projective Ricci symmetric and pseudo-projective semi-symmetric manifolds. Finally, we investigate the behavior of such manifolds endowed with conformal and non-conformal transformations of metrics.