{"title":"具有Thurston度规的teichm<s:1> ller空间的局部刚性","authors":"Huiping Pan","doi":"10.1007/s11425-021-2020-0","DOIUrl":null,"url":null,"abstract":"We show that every $\\mathbb R$-linear surjective isometry between the cotangent spaces to the Teichm\\\"uller space equipped with the Thurston norm is induced by some isometry between the underlying hyperbolic surfaces, which is an analogue of Royden's theorem concerning the Teichm\\\"uller metric.","PeriodicalId":54444,"journal":{"name":"Science China-Mathematics","volume":null,"pages":null},"PeriodicalIF":1.4000,"publicationDate":"2023-01-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Local rigidity of the Teichmüller space with the Thurston metric\",\"authors\":\"Huiping Pan\",\"doi\":\"10.1007/s11425-021-2020-0\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We show that every $\\\\mathbb R$-linear surjective isometry between the cotangent spaces to the Teichm\\\\\\\"uller space equipped with the Thurston norm is induced by some isometry between the underlying hyperbolic surfaces, which is an analogue of Royden's theorem concerning the Teichm\\\\\\\"uller metric.\",\"PeriodicalId\":54444,\"journal\":{\"name\":\"Science China-Mathematics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.4000,\"publicationDate\":\"2023-01-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Science China-Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1007/s11425-021-2020-0\",\"RegionNum\":2,\"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":"Science China-Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1007/s11425-021-2020-0","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
Local rigidity of the Teichmüller space with the Thurston metric
We show that every $\mathbb R$-linear surjective isometry between the cotangent spaces to the Teichm\"uller space equipped with the Thurston norm is induced by some isometry between the underlying hyperbolic surfaces, which is an analogue of Royden's theorem concerning the Teichm\"uller metric.
期刊介绍：
Science China Mathematics is committed to publishing high-quality, original results in both basic and applied research. It presents reviews that summarize representative results and achievements in a particular topic or an area, comment on the current state of research, or advise on research directions. In addition, the journal features research papers that report on important original results in all areas of mathematics as well as brief reports that present information in a timely manner on the latest important results.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
