Almost quasi-Yamabe solitons on almost cosymplectic manifolds

In this paper, we study almost cosymplectic manifolds admitting almost quasi-Yamabe solitons Formula: see text. First, we prove that an almost cosymplectic Formula: see text-manifold is locally isomorphic to a Lie group if Formula: see text is a nontrivial closed quasi-Yamabe soliton. Next, we consider an almost Formula: see text-cosymplectic manifold admitting a nontrivial almost quasi-Yamabe soliton and prove that it is locally the Riemannian product of an almost Kähler manifold with the real line if the potential vector field Formula: see text is collinear with the Reeb vector filed. For the potential vector field Formula: see text being orthogonal to the Reeb vector filed, we also obtain two results. Finally, for a closed almost quasi-Yamabe soliton on compact Formula: see text-cosymplectic manifolds, we prove that it is trivial if Formula: see text is nonnegative, where Formula: see text is the scalar curvature.