{"title":"Some weakly Einstein contact metric 3-manifolds","authors":"Yaning Wang, Pei Wang","doi":"10.2996/kmj46305","DOIUrl":null,"url":null,"abstract":"We prove that if a non-Sasakian contact metric 3-$\\tau$-$a$-manifold or contact metric 3-$H$-manifold is weakly Einstein, then it is locally isometric to a Lie group equipped with a left invariant contact metric structure.","PeriodicalId":54747,"journal":{"name":"Kodai Mathematical Journal","volume":"35 10","pages":"0"},"PeriodicalIF":0.4000,"publicationDate":"2023-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Kodai Mathematical Journal","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2996/kmj46305","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
We prove that if a non-Sasakian contact metric 3-$\tau$-$a$-manifold or contact metric 3-$H$-manifold is weakly Einstein, then it is locally isometric to a Lie group equipped with a left invariant contact metric structure.
期刊介绍：
Kodai Mathematical Journal is edited by the Department of Mathematics, Tokyo Institute of Technology. The journal was issued from 1949 until 1977 as Kodai Mathematical Seminar Reports, and was renewed in 1978 under the present name. The journal is published three times yearly and includes original papers in mathematics.
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