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.
{"title":"非紧Gauduchon流形上的twisted Higgs丛","authors":"Zhangpeng Pan, Xi Zhang","doi":"10.1360/ssm-2023-0114","DOIUrl":"https://doi.org/10.1360/ssm-2023-0114","url":null,"abstract":"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.","PeriodicalId":36277,"journal":{"name":"Scientia Sinica Mathematica","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47977198","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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