Pseudo-Quasi Conformal Curvature Tensor of Quasi Sasakian Manifold with Generalized Sasakian Space Forms

The current study focuses on three main topics; the pseudo-quasi conformal curvature tensor, quasi-Sasakian manifolds (QSAS-manifold), and generalized Sasakian space forms (GS-space forms) employing the G-adjoined structure space. For a QSAS-manifold of GS-space forms, the components of the Ricci tensor and pseudo-quasi conformal curvature tensor are computed. Various types of QSAS-manifold are described, and their interactions with GS-space forms are investigated. It has been shown that ξ-pseudo quasi conformally flat QSAS-manifold of GSspace forms includes quasi Einstein manifold. Furthermore, the condition of a quasi-pseudo quasi conformal QSAS-manifold of space forms to be a quasi-Einstein manifold is identified. Finally, the scalar curvature is determined for ξ-pseudo quasi-conformally flat QSAS-manifold and quasi-pseudo quasi conformal QSAS-manifold.