{"title":"The mean curvature integral is invariant under bending","authors":"F. Almgren, Igor Rivin","doi":"10.2140/GTM.1998.1.1","DOIUrl":null,"url":null,"abstract":"Suppose Mt is a smooth family of compact connected two dimensional submanifolds of Euclidean space E without boundary varying isometrically in their induced Riemannian metrics. Then we show that the mean curvature integrals ∫","PeriodicalId":430700,"journal":{"name":"Geometry &amp Topology Monographs","volume":"53 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1998-10-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"30","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Geometry &amp Topology Monographs","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2140/GTM.1998.1.1","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 30
Abstract
Suppose Mt is a smooth family of compact connected two dimensional submanifolds of Euclidean space E without boundary varying isometrically in their induced Riemannian metrics. Then we show that the mean curvature integrals ∫
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