{"title":"Submanifolds with constant Moebius curvature and flat normal bundle","authors":"M. S. R. Antas, R. Tojeiro","doi":"10.1007/s00229-024-01536-4","DOIUrl":null,"url":null,"abstract":"<p>We classify isometric immersions <span>\\(f:M^{n}\\rightarrow \\mathbb {R}^{n+p}\\)</span>, <span>\\(n \\ge 5\\)</span> and <span>\\(2p \\le n\\)</span>, with constant Moebius curvature and flat normal bundle.</p>","PeriodicalId":49887,"journal":{"name":"Manuscripta Mathematica","volume":"130 1","pages":""},"PeriodicalIF":0.5000,"publicationDate":"2024-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Manuscripta Mathematica","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s00229-024-01536-4","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
We classify isometric immersions \(f:M^{n}\rightarrow \mathbb {R}^{n+p}\), \(n \ge 5\) and \(2p \le n\), with constant Moebius curvature and flat normal bundle.
期刊介绍:
manuscripta mathematica was founded in 1969 to provide a forum for the rapid communication of advances in mathematical research. Edited by an international board whose members represent a wide spectrum of research interests, manuscripta mathematica is now recognized as a leading source of information on the latest mathematical results.