{"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":49216,"journal":{"name":"Colloquium Mathematicum","volume":"35 1","pages":"0"},"PeriodicalIF":0.4000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Colloquium Mathematicum","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4064/cm8911-7-2023","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-cosymplectic almost cosymplectic $(\kappa ,\mu )$-manifold of dimension 3 admits a conformal vector field, then the vector field is necessarily Killing.
期刊介绍:
Colloquium Mathematicum is a journal devoted to the publication of original papers of moderate length addressed to a broad mathematical audience. It publishes results of original research, interesting new proofs of important theorems and research-expository papers in all fields of pure mathematics.
Two issues constitute a volume, and at least four volumes are published each year.