Hyperbolic-Type Solitons on Ricci Pseudo-Symmetric Riemannian Concircular Structure Manifolds

The study of hyperbolic Ricci solitons and hyperbolic Yamabe solitons on Riemannian concircular structure manifolds is the main focus of the current research. We derive the expression of the Ricci curvature and scalar curvature of Riemannian concircular structure manifolds admitting hyperbolic Ricci solitons. Also, we show that the rate of change of hyperbolic Ricci solitons on Riemannian concircular structure manifolds is shrinking. Moreover, we discuss the nature of hyperbolic Ricci solitons and critical value and singular point on Ricci pseudo-symmetric Riemannian concircular structure manifolds, concircular pseudo-symmetric Riemannian concircular structure manifolds, projective pseudo-symmetric Riemannian concircular structure manifolds and conharmonic pseudo-symmetric Riemannian concircular structure manifolds. Lastly, depending solely on the rate of these solitons, we investigate certain applications in terms of modified second hyperbolic Yamabe solitons and modified second hyperbolic Ricci solitons.