Characterization of a special type of Ricci–Bourguignon soliton on sequential warped product manifold

In this paper, we aim to characterize the sequential warped product Formula: see text-almost gradient conformal Ricci–Bourguignon soliton. We derive applications of some vector fields like conformal vector field, torse-forming vector field, torqued vector field on Formula: see text-almost conformal Ricci–Bourguignon soliton. The inheritance properties of the Einstein-like sequential warped product Formula: see text-almost gradient conformal Ricci–Bourguignon solitons of class types Formula: see text are investigated in this paper. Later we show that if Formula: see text is a sequential warped product of a complete connected Formula: see text-dimensional Riemannian manifold Formula: see text and one-dimensional Riemannian manifolds Formula: see text and Formula: see text admitting Formula: see text-almost conformal Ricci–Bourguignon soliton, then Formula: see text becomes a Formula: see text-dimensional sphere of radius Formula: see text. We have discovered that for a Formula: see text-almost gradient conformal Ricci–Bourguignon soliton sequential warped product, the warping functions are constants under certain conditions.