{"title":"Conformal vector fields on almost cosymplectic 3-manifolds","authors":"Wenjie Wang","doi":"10.4064/cm8911-7-2023","DOIUrl":null,"url":null,"abstract":"We prove that if a non-cosymplectic almost cosymplectic $(\\kappa ,\\mu )$-manifold of dimension 3 admits a conformal vector field, then the vector field is necessarily Killing.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4064/cm8911-7-2023","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We prove that if a non-cosymplectic almost cosymplectic $(\kappa ,\mu )$-manifold of dimension 3 admits a conformal vector field, then the vector field is necessarily Killing.