{"title":"具有恒定莫比乌斯曲率和平坦法线束的子曲率","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":"{\"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}","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}
Submanifolds with constant Moebius curvature and flat normal bundle
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.