On the Kahler-likeness on almost Hermitian manifolds

被引：2

作者：

Kawamura, Masaya ^{[1
]}

机构：

[1] Kochi Coll, Natl Inst Technol, Dept Social Design Engn, 200-1 Otsu, Nankoku, Kochi 7838508, Japan

来源：

COMPLEX MANIFOLDS | 2019年 / 6卷 / 01期

关键词：

almost Hermitian manifolds; Kahler-like metrics; Chern connection; quasi-Kahler metrics;

D O I：

10.1515/coma-2019-0020

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We define a Kahler-like almost Hermitian metric. We will prove that on a compact Kahler-like almost Hermitian manifold (M-2n, J, g), if it admits a positive partial derivative(partial derivative) over bar -closed (n - 2, n - 2)-form, then g is a quasi-Kahler metric.

引用

页码：366 / 376

页数：11

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