Conformally Flat Almost Kenmotsu 3-Manifolds

In this paper, by virtue of a system of partial differential equations, we give a necessary and sufficient condition for an almost Kenmotsu 3-manifold to be conformally flat. As an application, we obtain that an almost Kenmotsu 3-H-manifold with scalar curvature invariant along the Reeb vector field is conformally flat if and only if it is locally isometric to either the hyperbolic space H-3(-1) or the Riemannian product H-2(-4) x R. Some concrete examples verifying main results are presented.