{"title":"非紧Gauduchon流形上的twisted Higgs丛","authors":"Zhangpeng Pan, Xi Zhang","doi":"10.1360/ssm-2023-0114","DOIUrl":null,"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":"中国科学:数学","volume":" ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"非紧Gauduchon流形上的twisted Higgs丛\",\"authors\":\"Zhangpeng Pan, Xi Zhang\",\"doi\":\"10.1360/ssm-2023-0114\",\"DOIUrl\":null,\"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\":\"中国科学:数学\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-07-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"中国科学:数学\",\"FirstCategoryId\":\"1089\",\"ListUrlMain\":\"https://doi.org/10.1360/ssm-2023-0114\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"中国科学:数学","FirstCategoryId":"1089","ListUrlMain":"https://doi.org/10.1360/ssm-2023-0114","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Mathematics","Score":null,"Total":0}
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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