On a k-th Gauduchon almost Hermitian manifold

Abstract

We characterize the k-th Gauduchon condition and by applying its characterization, we reprove that a compact k-th Gauduchon, semi-Kähler manifold becomes quasi-Kähler, which tells us that in particular, a compact almost pluriclosed, semi-Kähler manifold is quasi-Kähler.

Keywords

• almost hermitian manifold
• k-th gauduchon metric
• chern connection
• 32q60 (primary)
• 53c15; 53c55 (secondary)