{"title":"PSEUDOHERMITIAN BIMINIMAL LEGENDRE SURFACES IN THE 5-DIMENSIONAL SPHERE","authors":"Jong Taek Cho, Ji-Eun Lee","doi":"10.18910/57689","DOIUrl":null,"url":null,"abstract":"In this paper, we determine nonminimal pseudohermitian biminimal Legendre surfaces in the unit 5-sphere S 5 . In fact, the product of a circle and a helix of order 4 is realized as a nonminimal pseudohermitian biminimal Legendre immersion into S 5 . In addition, we obtain that there exist no nonminimal pseudohermitian biminimal Legendre surfaces in a 5-dimensional Sasakian space form of non-positive constant holomorphic sectional curvature for the Tanaka–Webster connection.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2015-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.18910/57689","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
In this paper, we determine nonminimal pseudohermitian biminimal Legendre surfaces in the unit 5-sphere S 5 . In fact, the product of a circle and a helix of order 4 is realized as a nonminimal pseudohermitian biminimal Legendre immersion into S 5 . In addition, we obtain that there exist no nonminimal pseudohermitian biminimal Legendre surfaces in a 5-dimensional Sasakian space form of non-positive constant holomorphic sectional curvature for the Tanaka–Webster connection.
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