Almost-Kähler four-manifolds with harmonic self-dual Weyl curvature

IF 0.6 4区数学 Q3 MATHEMATICS

Differential Geometry and its Applications Pub Date : 2024-04-30 DOI:10.1016/j.difgeo.2024.102141

Inyoung Kim

引用次数: 0

Abstract

We show that a compact almost-Kähler four-manifold $(M, g, ω)$ with harmonic self-dual Weyl curvature and constant scalar curvature is Kähler if $c_{1} \cdot [ω] \geq 0$ . We also prove an integral curvature inequality for compact almost-Kähler four-manifolds with harmonic self-dual Weyl curvature.

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具有谐波自双韦尔曲率的近凯勒四面体

我们证明，如果c1⋅[ω]≥0，则具有谐波自偶韦尔曲率和恒定标量曲率的紧凑型近凯勒四芒星（M,g,ω）是凯勒的。我们还证明了具有谐波自偶韦尔曲率的紧凑型近凯勒四芒星的积分曲率不等式。

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

Differential Geometry and its Applications 数学-数学

CiteScore

1.00

自引率

20.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Differential Geometry and its Applications publishes original research papers and survey papers in differential geometry and in all interdisciplinary areas in mathematics which use differential geometric methods and investigate geometrical structures. The following main areas are covered: differential equations on manifolds, global analysis, Lie groups, local and global differential geometry, the calculus of variations on manifolds, topology of manifolds, and mathematical physics.