托雷利轨迹与刚性

IF 0.8 3区数学 Q2 MATHEMATICS Michigan Mathematical Journal Pub Date : 2022-08-01 DOI:10.1307/mmj/20217207

Sai-Kee Yeung

{"title":"托雷利轨迹与刚性","authors":"Sai-Kee Yeung","doi":"10.1307/mmj/20217207","DOIUrl":null,"url":null,"abstract":". The goal of the paper is to explain a harmonic map approach to two geometric problems related to the Torelli map. The ﬁrst is related to the existence of totally geodesic submanifolds in the image of the Torelli map, and the second is on rigidity of representation of a lattice of a semi-simple Lie group in a mapping class group.","PeriodicalId":49820,"journal":{"name":"Michigan Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.8000,"publicationDate":"2022-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Torelli Locus and Rigidity\",\"authors\":\"Sai-Kee Yeung\",\"doi\":\"10.1307/mmj/20217207\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". The goal of the paper is to explain a harmonic map approach to two geometric problems related to the Torelli map. The ﬁrst is related to the existence of totally geodesic submanifolds in the image of the Torelli map, and the second is on rigidity of representation of a lattice of a semi-simple Lie group in a mapping class group.\",\"PeriodicalId\":49820,\"journal\":{\"name\":\"Michigan Mathematical Journal\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.8000,\"publicationDate\":\"2022-08-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Michigan Mathematical Journal\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1307/mmj/20217207\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Michigan Mathematical Journal","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1307/mmj/20217207","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 0

摘要

．本文的目的是解释一个调和映射的方法，以两个几何问题有关的托雷利图。第一个问题是关于Torelli映射象中完全测地线子流形的存在性，第二个问题是关于映射类群中半简单李群的格表示的刚性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

Torelli Locus and Rigidity

. The goal of the paper is to explain a harmonic map approach to two geometric problems related to the Torelli map. The ﬁrst is related to the existence of totally geodesic submanifolds in the image of the Torelli map, and the second is on rigidity of representation of a lattice of a semi-simple Lie group in a mapping class group.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Michigan Mathematical Journal 数学-数学

CiteScore

1.20

自引率

11.10%

发文量

审稿时长

>12 weeks

期刊介绍： The Michigan Mathematical Journal is available electronically through the Project Euclid web site. The electronic version is available free to all paid subscribers. The Journal must receive from institutional subscribers a list of Internet Protocol Addresses in order for members of their institutions to have access to the online version of the Journal.