Scalar curvatures in almost Hermitian geometry and some applications

On an almost Hermitian manifold, there are two scalar curvatures associated with a canonical connection. In this paper, explicit formulas on these obtained in terms of the Riemannian curvature, norms components covariant derivative fundamental 2-form respect to Levi-Civita connection, and codifferential Lee form. Then we use them get characterization results Kähler metric, balanced locally conformal metric or k-Gauduchon metric. As corollaries, show partial related problem given by Lejmi Upmeier (2020) conjecture Angella et al. (2018).