{"title":"Quasi Yamabe solitons on CR submanifolds of maximal CR dimension in K\\\"ahler manifolds","authors":"Miloš Djorić, M. Djorić","doi":"10.36890/iejg.1454012","DOIUrl":null,"url":null,"abstract":"In this paper we give necessary and sufficient conditions for a CR submanifold of maximal CR dimension in arbitrary K\\\"{a}hler manifold to admit (quasi-)Yamabe structure, with naturally chosen soliton vector field. When the ambient manifold is a non-flat complex space form, we give a complete classification of such solitons, under certain conditions.","PeriodicalId":43768,"journal":{"name":"International Electronic Journal of Geometry","volume":null,"pages":null},"PeriodicalIF":0.4000,"publicationDate":"2024-04-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Electronic Journal of Geometry","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.36890/iejg.1454012","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper we give necessary and sufficient conditions for a CR submanifold of maximal CR dimension in arbitrary K\"{a}hler manifold to admit (quasi-)Yamabe structure, with naturally chosen soliton vector field. When the ambient manifold is a non-flat complex space form, we give a complete classification of such solitons, under certain conditions.
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