%0 Journal Article %T Almost Kahler 4-manifolds with J-invariant Ricci tensor and special Weyl tensor %A Vestislav Apostolov %A Tedi Draghici %J Mathematics %D 1999 %I arXiv %X We study the question of integrability of a compatible almost complex structure on a compact symplectic 4-manifold, under various natural assumptions on the curvature of the associated almost Kahler metric. %U http://arxiv.org/abs/math/9911196v1