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

Gezer, Aydın; Djaa, Nour Elhouda; De, Uday Chand

doi:10.1142/s0219887825500380

Makale Tam Makale Uluslararası 2025

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

Aydın Gezer, Nour Elhouda Djaa, Uday Chand De

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS Cilt 22 · Sayı 08 · 01.07.2025

DOI ile aç

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.

Atıf için künye

Gezer, A., Djaa, N. E., & De, U. C. (2025). Notes on conformal and non-conformal transformation metrics of generalized quasi-Einstein manifolds. INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 22(08). https://doi.org/10.1142/s0219887825500380

BibTeX

@article{gezer2025-73701,
  author = {Gezer, Aydın and Djaa, Nour Elhouda and De, Uday Chand},
  title = {Notes on conformal and non-conformal transformation metrics of generalized quasi-Einstein manifolds},
  journal = {INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS},
  year = {2025},
  volume = {22},
  number = {08},
  issn = {0219-8878},
  doi = {10.1142/s0219887825500380},
  url = {https://akademik.atauni.edu.tr/yayinlar/73701-notes-on-conformal-and-non-conformal-transformation-metrics-of-generalized-quasi}
}