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

Masaya Kawamura

doi:10.4067/S0719-06462021000200333

DOI:

https://doi.org/10.4067/S0719-06462021000200333

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

Masaya Kawamura Department of General Education, National Institute of Technology, Kagawa College, 355, Chokushi-cho, Takamatsu, Kagawa, Japan.

Pages: 333–341
Date Published: 2021-08-01
Vol. 23 No. 2 (2021)

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