Holomorphic maps into almost Kahler manifolds with constrained energy density

In this paper, we prove an isolation theorem for holomorphic and anti-holomorphic maps from a compact conformal semi-Kahler manifold with or without boundary to an almost Kahler manifold with constrained energy density, which extends the results of Gauchman and Glazebrook. At the same time, as an analogy of a theorem of Ilias and Shouman, the corresponding results are improved.