{"title":"论欧几里得空间和黎曼流形中的最小超曲面","authors":"Josef Mikes, Sergey Stepanov, Irina Tsyganok","doi":"arxiv-2409.04426","DOIUrl":null,"url":null,"abstract":"This paper establishes the conditions under which minimal and stable minimal\nhypersurfaces are characterized as hyperplanes in Euclidean spaces and as\ntotally geodesic submanifolds in Riemannian manifolds.","PeriodicalId":501113,"journal":{"name":"arXiv - MATH - Differential Geometry","volume":"14 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On minimal hypersurfaces in Euclidean spaces and Riemannian manifolds\",\"authors\":\"Josef Mikes, Sergey Stepanov, Irina Tsyganok\",\"doi\":\"arxiv-2409.04426\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper establishes the conditions under which minimal and stable minimal\\nhypersurfaces are characterized as hyperplanes in Euclidean spaces and as\\ntotally geodesic submanifolds in Riemannian manifolds.\",\"PeriodicalId\":501113,\"journal\":{\"name\":\"arXiv - MATH - Differential Geometry\",\"volume\":\"14 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-09-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - MATH - Differential Geometry\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2409.04426\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Differential Geometry","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.04426","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On minimal hypersurfaces in Euclidean spaces and Riemannian manifolds
This paper establishes the conditions under which minimal and stable minimal
hypersurfaces are characterized as hyperplanes in Euclidean spaces and as
totally geodesic submanifolds in Riemannian manifolds.
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
