非紧Gauduchon流形上的twisted Higgs丛

Q3 Mathematics

中国科学:数学 Pub Date : 2023-07-01 DOI:10.1360/ssm-2023-0114

Zhangpeng Pan, Xi Zhang

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引用次数: 0

摘要

本文研究了一类非紧化高杜川流形上扭曲希格斯束上正则度量的存在性。当扭曲的希格斯束是稳定的，我们证明在它上面一定存在厄米-爱因斯坦度规。当扭曲的希格斯束是半稳定的，我们证明了在它上面有一个近似的厄米-爱因斯坦结构。

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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非紧Gauduchon流形上的twisted Higgs丛

In this paper, we study the existence of canonical metrics on twisted Higgs bundles over a class of noncompact Gauduchon manifolds. When the twisted Higgs bundle is stable, we prove that there must exists a Hermitian{Einstein metric on it. When the twisted Higgs bundle is semi-stable, we prove that there is an approximate Hermitian{Einstein structure on it.

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来源期刊

中国科学:数学 Mathematics-Mathematics (all)

CiteScore

1.20

自引率

0.00%

发文量

6663

期刊介绍： Scientia Sinica Mathematica (in Chinese) and (in English) are comprehensive academic journals in mathematics under the auspices of the Chinese Academy of Sciences and co-sponsored by the Chinese Academy of Sciences and the National Natural Science Foundation of China. It mainly reports the important research results in basic mathematics, applied mathematics, computational mathematics and scientific engineering computation, and probability statistics. Published by Science China. Monthly. Chinese edition: online edition published on the 1st of every month, print edition published on the 20th of every month. English: The online version is published on the 20th of the month preceding the month in which the print version is published, and the print version is published on the 1st of the month. The Chinese version of Scientia Sinica Mathematica is indexed in China Science Citation Database, China Academic Journal Network, Chinese Science and Technology Journal Database, China Science Literature Database, China Digital Journals, Chinese Core Journals, Scopus, etc. The English version is an SCI journal.