Some Geometric Properties of Lorentzian $\beta$-Kenmotsu Manifolds Admitting $\eta$-Ricci-Yamabe Solitons

Source abstract

In this paper, we investigate the characterization of Lorentzian $\beta$-Kenmotsu manifolds admitting $\eta$-Ricci-Yamabe solitons. First, we examine the cases where such manifolds are Ricci pseudosymmetric and Ricci semisymmetric. Then, by employing certain special curvature tensors, we explore the concepts of Ricci pseudosymmetry and semisymmetry in greater detail and construct the geometry of the Lorentzian $\beta$-Kenmotsu manifold accordingly.