{"title":"伪黎曼空间形式中各向同性子流形的Chen不等式","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":"{\"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}","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}
Chen Inequalities for Isotropic Submanifolds in Pseudo-Riemannian Space Forms
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.
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