{"title":"$L^p$\u0000 harmonic 1-forms on hypersurfaces with finite index","authors":"Xiaoli Chao, B. Shen, Miaomiao Zhang","doi":"10.1017/S0017089522000313","DOIUrl":"https://doi.org/10.1017/S0017089522000313","url":null,"abstract":"Abstract In the present note, we establish a finiteness theorem for \u0000$L^p$\u0000 harmonic 1-forms on hypersurfaces with finite index, which is an extension of the result of Choi and Seo (J. Geom. Phys. 129 (2018), 125–132).","PeriodicalId":50417,"journal":{"name":"Glasgow Mathematical Journal","volume":"65 1","pages":"310 - 323"},"PeriodicalIF":0.5,"publicationDate":"2022-11-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42791682","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}