{"title":"Chen Inequalities for Isotropic Submanifolds in Pseudo-Riemannian Space Forms","authors":"Marius Mi̇rea","doi":"10.36890/iejg.1259890","DOIUrl":null,"url":null,"abstract":"The class of isotropic submanifolds in pseudo-Riemannian manifolds is a distinguished family\nof submanifolds; they have been studied by several authors. In this article we establish Chen\ninequalities for isotropic immersions. An example of an isotropic immersion for which the equality\ncase in the Chen first inequality holds is given.","PeriodicalId":43768,"journal":{"name":"International Electronic Journal of Geometry","volume":" ","pages":""},"PeriodicalIF":0.4000,"publicationDate":"2023-04-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Electronic Journal of Geometry","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.36890/iejg.1259890","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: 1
Abstract
The class of isotropic submanifolds in pseudo-Riemannian manifolds is a distinguished family
of submanifolds; they have been studied by several authors. In this article we establish Chen
inequalities for isotropic immersions. An example of an isotropic immersion for which the equality
case in the Chen first inequality holds is given.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
