{"title":"Reeb lie derivatives on real hypersurfaces in complex hyperbolic two-plane Grassmannians","authors":"Eunmi Pak, G. Kim","doi":"10.2298/fil2303915p","DOIUrl":null,"url":null,"abstract":"In complex two-plane Grassmannians G2(Cm+2) = SU2+m/S(U2?Um), it is known that a real hypersurface satisfying the condition (L?(k)?R?)Y = (L?R?)Y is locally congruent to an open part of a tube around a totally geodesic G2(Cm+1) in G2(Cm+2). In this paper, as an abient space, we consider a complex hyperbolic two-plane Grassmannian SU2,m/S(U2?Um) and give a complete classification of Hopf real hypersurfaces in SU2,m/S(U2?Um) with the above condition.","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":"100","ListUrlMain":"https://doi.org/10.2298/fil2303915p","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
In complex two-plane Grassmannians G2(Cm+2) = SU2+m/S(U2?Um), it is known that a real hypersurface satisfying the condition (L?(k)?R?)Y = (L?R?)Y is locally congruent to an open part of a tube around a totally geodesic G2(Cm+1) in G2(Cm+2). In this paper, as an abient space, we consider a complex hyperbolic two-plane Grassmannian SU2,m/S(U2?Um) and give a complete classification of Hopf real hypersurfaces in SU2,m/S(U2?Um) with the above condition.
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