Noura DJELLALI, Abdelbasset HASNİ, Ahmed MOHAMMED CHERİF, Mohamed BELKHELFA
{"title":"Classification of Codazzi and note on minimal hypersurfaces in $Nil^{4}$","authors":"Noura DJELLALI, Abdelbasset HASNİ, Ahmed MOHAMMED CHERİF, Mohamed BELKHELFA","doi":"10.36890/iejg.1256112","DOIUrl":null,"url":null,"abstract":"In this paper, we give a classification of Codazzi hypersurfaces in a Lie group $(Nil^{4},\\widetilde g)$. We also give a characterization of a class of minimal hypersurfaces in $(Nil^{4},\\widetilde g)$ with an example of a minimal surface in this class.","PeriodicalId":43768,"journal":{"name":"International Electronic Journal of Geometry","volume":" 1","pages":"0"},"PeriodicalIF":0.4000,"publicationDate":"2023-10-29","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.1256112","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 a classification of Codazzi hypersurfaces in a Lie group $(Nil^{4},\widetilde g)$. We also give a characterization of a class of minimal hypersurfaces in $(Nil^{4},\widetilde g)$ with an example of a minimal surface in this class.