On the Kahler-likeness on nearly Kahler manifolds

被引：0

作者：

Kawamura, Masaya ^{[1
]}

机构：

[1] Natl Inst Technol, Kagawa Coll, Dept Gen Educ, 355 Chokushi Cho, Takamatsu, Kagawa 7618058, Japan

来源：

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS | 2021年 / 14卷 / 08期

关键词：

Almost Hermitian manifolds; Kahler-like metrics; G-Kahler-like metrics; Chern connection;

D O I：

10.1142/S1793557121501321

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce Kahler-like, G-Kahler-like almost Hermitian metrics. We characterize the Kahler-likeness and the G-Kahler-likeness, and show that these properties are equivalent on nearly Kahler manifolds. Furthermore, we prove that a nearly Kahler manifold with the Kahler-likeness is Kahler.

引用

页数：8

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