On some applications of Gauduchon metrics

We apply the existence and special properties of Gauduchon metrics to give several applications. The first one is concerned with implications algebro-geometric nature under a Hermitian metric nonnegative holomorphic sectional curvature. second show non-existence sections on vector bundles certain conditions. third restriction $\partial\bar{\partial}$-closedness some real $(n-1,n-1)$-forms compact complex manifolds.