Gradient almost Ricci solitons on multiply warped product manifolds

In this paper, we investigate multiply warped product manifold \[M =B×b_1 F_1×b_2 F_2×b_3 … ×b_m F_m\] as a gradient almost Ricci soliton. Taking bᵢ=b for 1≤ i ≤ m lets us to deduce that potential field depends on B. With this idea we also get a rigidity result and show that base is a generalized quasi-Einstein manifold if ∇ b is conformal.