{"title":"Convex hull of extreme points in flat Riemannian manifolds","authors":"R. Mirzaie","doi":"10.36890/iejg.1046707","DOIUrl":null,"url":null,"abstract":"We show that convex hull of extreme points of a closed convex subset of a compact \nflat Riemannian manifold is equal to the subset itself.","PeriodicalId":43768,"journal":{"name":"International Electronic Journal of Geometry","volume":" ","pages":""},"PeriodicalIF":0.4000,"publicationDate":"2022-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Electronic Journal of Geometry","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.36890/iejg.1046707","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
We show that convex hull of extreme points of a closed convex subset of a compact
flat Riemannian manifold is equal to the subset itself.