On the conformally k-th Gauduchon condition and the conformally semi-Kähler condition on almost complex manifolds

Abstract

We introduce the k-th Gauduchon condition on almost complex manifolds. We show that if both the conformally k-th Gauduchon condition and the conformally semi-Kähler condition are satisfied, then it becomes conformally quasi-Kähler.

Keywords

• almost hermitian manifold
• k-th gauduchon metric
• semi-kähler metric