Chern number inequalities of deformed Hermitian-Yang-Mills metrics on four dimensional Kähler manifolds

IF 0.5 4区数学 Q3 MATHEMATICS

Manuscripta Mathematica Pub Date : 2024-01-21 DOI:10.1007/s00229-023-01531-1

Xiaoli Han, Xishen Jin

引用次数: 0

Abstract

In this paper, we give an affirmative answer to a conjecture of Collins-Yau [8]. We investigate the Chern number inequalities on 4-dimensional Kähler manifolds admitting the deformed Hermitian-Yang-Mills metrics under the assumption \({{\hat{\theta }}}\in (\pi ,2\pi )\).

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四维凯勒流形上变形赫米蒂-杨-米尔斯度量的切尔数不等式

在本文中，我们给出了柯林斯-尤猜想[8]的肯定答案。我们研究了在假设 \({{\hat{\theta }}\}in (\pi ,2\pi )\) 下接纳变形赫尔米特-杨-米尔斯度量的 4 维凯勒流形上的切尔数不等式。

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

Manuscripta Mathematica 数学-数学

CiteScore

1.40

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： manuscripta mathematica was founded in 1969 to provide a forum for the rapid communication of advances in mathematical research. Edited by an international board whose members represent a wide spectrum of research interests, manuscripta mathematica is now recognized as a leading source of information on the latest mathematical results.