Hermitian conformal classes and almost Kahler structures on 4-manifolds

It is shown that on most compact complex surfaces which admit symplectic forms, each Hermitian conformal class contains almost Kahler metrics. Results about the number of symplectic forms compatible to a given metric are obtained. As applications, alternative proofs for results of LeBrun on the Yamabe constants of Hermitian conformal classes are given, as well as some answers to a question of Blair about the isometries of almost Kahler metrics.