{"title":"直到余维2的双曲空间的最小齐次子流形","authors":"Felippe Guimarães, Joeri Van der Veken","doi":"10.1007/s10231-024-01504-5","DOIUrl":null,"url":null,"abstract":"<div><p>We show that a minimal homogeneous submanifold <span>\\(M^n\\)</span>, <span>\\(n\\ge 5\\)</span>, of a hyperbolic space up to codimension two is totally geodesic.\n</p></div>","PeriodicalId":8265,"journal":{"name":"Annali di Matematica Pura ed Applicata","volume":"204 2","pages":"759 - 771"},"PeriodicalIF":1.0000,"publicationDate":"2024-09-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On minimal homogeneous submanifolds of the hyperbolic space up to codimension two\",\"authors\":\"Felippe Guimarães, Joeri Van der Veken\",\"doi\":\"10.1007/s10231-024-01504-5\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>We show that a minimal homogeneous submanifold <span>\\\\(M^n\\\\)</span>, <span>\\\\(n\\\\ge 5\\\\)</span>, of a hyperbolic space up to codimension two is totally geodesic.\\n</p></div>\",\"PeriodicalId\":8265,\"journal\":{\"name\":\"Annali di Matematica Pura ed Applicata\",\"volume\":\"204 2\",\"pages\":\"759 - 771\"},\"PeriodicalIF\":1.0000,\"publicationDate\":\"2024-09-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Annali di Matematica Pura ed Applicata\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s10231-024-01504-5\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annali di Matematica Pura ed Applicata","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1007/s10231-024-01504-5","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
期刊介绍:
This journal, the oldest scientific periodical in Italy, was originally edited by Barnaba Tortolini and Francesco Brioschi and has appeared since 1850. Nowadays it is managed by a nonprofit organization, the Fondazione Annali di Matematica Pura ed Applicata, c.o. Dipartimento di Matematica "U. Dini", viale Morgagni 67A, 50134 Firenze, Italy, e-mail annali@math.unifi.it).
A board of Italian university professors governs the Fondazione and appoints the editors of the journal, whose responsibility it is to supervise the refereeing process. The names of governors and editors appear on the front page of each issue. Their addresses appear in the title pages of each issue.