Riemannian Manifolds Satisfying Certain Conditions on Pseudo-Quasi-Conformal Curvature Tensor

Abstract

In this paper, we explore various properties of the Pseudo-Quasi-Conformal Curvature Tensor, denoted as $\tilde{V}$, on Riemannian manifolds, with a particular focus on generalized quasi-Einstein manifolds in the sense of Chaki. Initially, we examine a Pseudo-Quasi-Conformally Ricci semisymmetric generalized quasi-Einstein manifold. Subsequently, we investigate the Pseudo-Quasi-Conformal flatness of this manifold. Additionally, we provide a non-trivial example of a generalized quasi-Einstein manifold to demonstrate its existence.