Characterization of a hyperbolic Ricci soliton on sequential warped product manifold

Abstract

The destination of the paper is to analyze a hyperbolic Ricci soliton on sequential warped product manifold. We investigate the necessary condition for a hyperbolic Ricci soliton on sequential warped product to become an Einstein manifold when the potential vector field is admitted as a Killing or a conformal vector field. We also arrive at hyperbolic Ricci soliton from sequential warped product under certain given conditions. Later we characterise hyperbolic Ricci soliton on sequential standard static space-time and sequential generalized Robertson-Walker space-time.