ON THE CONSTRUCTION OF GRADIENT ALMOST RICCI SOLITON WARPED PRODUCT

In this paper we present a necessary and sufficient condition f or constructing gradient almost Ricci solitons that are realized as warped prod- ucts. This will be done through the O'Neill's formulas and a particular study of Riemannian manifolds satisfying a Ricci-Hessian type equation. Furthermore, we provide existence and rigidity results.