Certain results of Κ-almost gradient Ricci-Bourguignon soliton on pseudo-Riemannian manifolds

The prime object in this article is to study Kappa-almost Ricci-Bourguignon soliton and Kappa- almost gradient Ricci-Bourguignon soliton within the framework of paracontact metric manifolds. Here, we realize some conditions under which a paracontact metric manifold admitting a Kappa-Ricci-Bourguignon almost soliton is Einstein (trivial) and q-Einstein. We also show that if a three dimensional para-Kenmotsu manifold M3 admitting a Kappa-almost gradient Ricci-Bourguignon soliton with a constant scalar curvature, then the soliton becomes an almost gradient Ricci-Bourguignon soliton whose soliton function is -S2. We also characterize and find some notable results Kappa-almost gradient Ricci-Bourguignon soliton on para-Sasakian manifolds and para-cosymplectic manifolds.(c) 2022 Elsevier B.V. All rights reserved.