On the Kähler-likeness on almost Hermitian manifolds

IF 0.5 Q3 MATHEMATICS

Complex Manifolds Pub Date : 2019-01-01 DOI:10.1515/coma-2019-0020

Masaya Kawamura

引用次数: 1

Abstract

Abstract We define a Kähler-like almost Hermitian metric. We will prove that on a compact Kähler-like almost Hermitian manifold (M2n, J, g), if it admits a positive ∂ ̄∂-closed (n − 2, n − 2)-form, then g is a quasi-Kähler metric.

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关于几乎Hermitian流形上的Kähler相似性

摘要我们定义了一个类Kähler的几乎Hermitian度量。我们将证明在一个紧致的类Kähler几乎Hermitian流形（M2n，J，g）上，如果它允许一个正的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Complex Manifolds MATHEMATICS-

CiteScore

1.30

自引率

20.00%

发文量

审稿时长

25 weeks

期刊介绍： Complex Manifolds is devoted to the publication of results on these and related topics: Hermitian geometry, Kähler and hyperkähler geometry Calabi-Yau metrics, PDE''s on complex manifolds Generalized complex geometry Deformations of complex structures Twistor theory Geometric flows on complex manifolds Almost complex geometry Quaternionic geometry Geometric theory of analytic functions Holomorphic dynamics Several complex variables Dolbeault cohomology CR geometry.