The k-almost Yamabe solitons and almost coKahler manifolds

In this paper, we study almost coKahler manifolds admitting k-almost Yamabe solitons (g, V, k, lambda). First, we obtain a classification of almost coKahler (kappa, mu)-manifolds admitting nontrivial closed k-almost Yamabe solitons. Next, we consider an almost alpha-coKahler manifold admitting a nontrivial k-almost Yamabe soliton and prove that it is locally the Riemannian product of an almost Kahler manifold with the real line if the potential vector field V is collinear with the Reeb vector field. For the potential vector field V being orthogonal to the Reeb vector field, we also obtain two results.