PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE, cilt.116, ss.97-111, 2024 (ESCI)
We extend the work applied to Einstein spaces by A.Z. Petrov to some spaces that can be considered as modified forms of this space. For this purpose, the first study which was done on the quasi Einstein manifold continued with the generalized quasi-Einstein and the pseudo generalized quasiEinstein manifolds in this article and our evidences are supported by several examples in the last section.