ALMOST QUASI-YAMABE SOLITONS ON CONTACT METRIC MANIFOLDS

In this article, we study contact metric manifolds admitting almost quasi-Yamabe solitons (g;V; m;lambda). First we prove that there does not exist a nontrivial almost quasi-Yamabe soliton whose potential vector field V is pointwise collinear with the Reeb vector field xi on a contact metric manifold. For V being orthogonal to xi, we consider the three dimensional cases. Next we consider a non-Sasakian contact metric (kappa; mu)-manifold admitting a nontrivial closed almost quasi-Yamabe soliton and give a classification. Finally, for a closed almost quasi-Yamabe soliton on K-contact manifolds, we prove that either the soliton is trivial or r = lambda m if r - lambda is nonnegative and attains a maximum on M, where r is the scalar curvature.