{"title":"奇维单位球超曲面的刚性定理$\\mathbb S^{2n+1}(1)$","authors":"Mingzhu Gao, Zejun Hu, Cheng Xing","doi":"10.4064/cm8966-7-2023","DOIUrl":null,"url":null,"abstract":"We establish an optimal integral inequality for closed hypersurfaces in the odd-dimensional unit sphere $\\mathbb S^{2n+1}(1)$ with vanishing Reeb function that involves the shape operator $A$ and the contact vector field $U$. The integral inequality is op","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":"{\"title\":\"A rigidity theorem for hypersurfaces of the odd-dimensional unit sphere $\\\\mathbb S^{2n+1}(1)$\",\"authors\":\"Mingzhu Gao, Zejun Hu, Cheng Xing\",\"doi\":\"10.4064/cm8966-7-2023\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We establish an optimal integral inequality for closed hypersurfaces in the odd-dimensional unit sphere $\\\\mathbb S^{2n+1}(1)$ with vanishing Reeb function that involves the shape operator $A$ and the contact vector field $U$. The integral inequality is op\",\"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\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.4064/cm8966-7-2023\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4064/cm8966-7-2023","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A rigidity theorem for hypersurfaces of the odd-dimensional unit sphere $\mathbb S^{2n+1}(1)$
We establish an optimal integral inequality for closed hypersurfaces in the odd-dimensional unit sphere $\mathbb S^{2n+1}(1)$ with vanishing Reeb function that involves the shape operator $A$ and the contact vector field $U$. The integral inequality is op
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
