Geometry of almost Ricci solitons on paracontact metric manifolds

Abstract

The purpose of this article is to investigate almost Ricci solitons on para- contact manifolds. We demonstrate that a gradient  almost Ricci soliton whose metric is para-sasakian turns into  Einstein with a constant scalar curvature -2n(2n + 1). Next, we  get a few relationships between almost Ricci solitons and Ricci  solitons on a K-paracontact manifold and its generalizations.   Finally, some ndings on para-contact manifolds and H-paracontact manifolds admitting an almost Ricci soliton with a  potential vector field that is a pointwise collinear with the Reeb  vector field are discovered.