Conformal Ricci solitons on three-dimensional homothetic hyperbolic Kenmotsu manifolds and their applications in spacetimes

The principal objective of the present paper is to characterize certain properties of three-dimensional homothetic hyperbolic Kenmotsu manifolds (HHKM) with conformal Ricci solitons. Also, we explore conformal Ricci and conformal gradient Ricci solitons on η η -Einstein homothetic hyperbolic Kenmotsu manifolds and demonstrate an example of three-dimensional HHKM to verify the derived results. Moreover, we analyze conformal Ricci solitons in the framework of super quasi-Einstein spacetimes.