{"title":"An inverse approach to hyperspheres of prescribed mean curvature in Euclidean space","authors":"P. Caldiroli","doi":"10.1515/advgeom-2021-0038","DOIUrl":null,"url":null,"abstract":"Abstract We construct families of smooth functions H : ℝn+1 → ℝ such that the Euclidean (n + 1)-space is completely filled by not necessarily round hyperspheres of mean curvature H at every point.","PeriodicalId":7335,"journal":{"name":"Advances in Geometry","volume":null,"pages":null},"PeriodicalIF":0.5000,"publicationDate":"2021-05-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Advances in Geometry","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1515/advgeom-2021-0038","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
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Abstract
Abstract We construct families of smooth functions H : ℝn+1 → ℝ such that the Euclidean (n + 1)-space is completely filled by not necessarily round hyperspheres of mean curvature H at every point.
期刊介绍：
Advances in Geometry is a mathematical journal for the publication of original research articles of excellent quality in the area of geometry. Geometry is a field of long standing-tradition and eminent importance. The study of space and spatial patterns is a major mathematical activity; geometric ideas and geometric language permeate all of mathematics.
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