{"title":"K\\\"ahler 流形中最大 CR 维度 CR 子曼形上的准 Yamabe 孤子","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":"{\"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}","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}
Quasi Yamabe solitons on CR submanifolds of maximal CR dimension in K\"ahler manifolds
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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