CR映射局部刚度和高阶无穷小变形的充要条件

Pub Date : 2019-06-06 DOI:10.4310/ARKIV.2020.v58.n2.a1

G. Sala, B. Lamel, M. Reiter

{"title":"CR映射局部刚度和高阶无穷小变形的充要条件","authors":"G. Sala, B. Lamel, M. Reiter","doi":"10.4310/ARKIV.2020.v58.n2.a1","DOIUrl":null,"url":null,"abstract":"In this paper we continue our study of local rigidity for maps of CR submanifolds of the complex space. We provide a linear sufficient condition for local rigidity of finitely nondegenerate maps between minimal CR manifolds. Furthermore, we show higher order infinitesimal conditions can be used to give a characterization of local rigidity.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-06-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Sufficient and necessary conditions for local rigidity of CR mappings and higher order infinitesimal deformations\",\"authors\":\"G. Sala, B. Lamel, M. Reiter\",\"doi\":\"10.4310/ARKIV.2020.v58.n2.a1\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper we continue our study of local rigidity for maps of CR submanifolds of the complex space. We provide a linear sufficient condition for local rigidity of finitely nondegenerate maps between minimal CR manifolds. Furthermore, we show higher order infinitesimal conditions can be used to give a characterization of local rigidity.\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2019-06-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.4310/ARKIV.2020.v58.n2.a1\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.4310/ARKIV.2020.v58.n2.a1","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 3

摘要

本文继续研究复空间CR子流形映射的局部刚度。我们给出了极小CR流形之间有限非退化映射局部刚度的一个线性充分条件。此外，我们还证明了高阶无穷小条件可以用来刻画局部刚度。

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

Sufficient and necessary conditions for local rigidity of CR mappings and higher order infinitesimal deformations

In this paper we continue our study of local rigidity for maps of CR submanifolds of the complex space. We provide a linear sufficient condition for local rigidity of finitely nondegenerate maps between minimal CR manifolds. Furthermore, we show higher order infinitesimal conditions can be used to give a characterization of local rigidity.

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