{"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}
引用次数: 0
Abstract
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.
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