完全严格伪凸CR流形上的塞格格核渐近性。

IF 1.2 2区 数学 Q1 MATHEMATICS
Journal of Geometric Analysis Pub Date : 2022-01-01 Epub Date: 2022-08-18 DOI:10.1007/s12220-022-00990-4
Chin-Yu Hsiao, George Marinescu, Huan Wang
{"title":"完全严格伪凸CR流形上的塞格格核渐近性。","authors":"Chin-Yu Hsiao,&nbsp;George Marinescu,&nbsp;Huan Wang","doi":"10.1007/s12220-022-00990-4","DOIUrl":null,"url":null,"abstract":"<p><p>We prove a Bochner-Kodaira-Nakano formula and establish Szegő kernel expansions on complete strictly pseudoconvex CR manifolds with transversal CR <math><mi>R</mi></math> -action under certain natural geometric conditions. As a consequence we show that such manifolds are locally CR embeddable.</p>","PeriodicalId":56121,"journal":{"name":"Journal of Geometric Analysis","volume":"32 11","pages":"266"},"PeriodicalIF":1.2000,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9387902/pdf/","citationCount":"1","resultStr":"{\"title\":\"Szegő Kernel Asymptotics on Complete Strictly Pseudoconvex CR Manifolds.\",\"authors\":\"Chin-Yu Hsiao,&nbsp;George Marinescu,&nbsp;Huan Wang\",\"doi\":\"10.1007/s12220-022-00990-4\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p><p>We prove a Bochner-Kodaira-Nakano formula and establish Szegő kernel expansions on complete strictly pseudoconvex CR manifolds with transversal CR <math><mi>R</mi></math> -action under certain natural geometric conditions. As a consequence we show that such manifolds are locally CR embeddable.</p>\",\"PeriodicalId\":56121,\"journal\":{\"name\":\"Journal of Geometric Analysis\",\"volume\":\"32 11\",\"pages\":\"266\"},\"PeriodicalIF\":1.2000,\"publicationDate\":\"2022-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9387902/pdf/\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Geometric Analysis\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1007/s12220-022-00990-4\",\"RegionNum\":2,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"2022/8/18 0:00:00\",\"PubModel\":\"Epub\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Geometric Analysis","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s12220-022-00990-4","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"2022/8/18 0:00:00","PubModel":"Epub","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 1

摘要

在一定的自然几何条件下,证明了具有横向CR -作用的完全严格伪凸CR流形的Bochner-Kodaira-Nakano公式,并建立了塞格格核展开。因此,我们证明了这种流形是局部CR可嵌入的。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Szegő Kernel Asymptotics on Complete Strictly Pseudoconvex CR Manifolds.

We prove a Bochner-Kodaira-Nakano formula and establish Szegő kernel expansions on complete strictly pseudoconvex CR manifolds with transversal CR R -action under certain natural geometric conditions. As a consequence we show that such manifolds are locally CR embeddable.

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
CiteScore
2.00
自引率
9.10%
发文量
290
审稿时长
3 months
期刊介绍: JGA publishes both research and high-level expository papers in geometric analysis and its applications. There are no restrictions on page length.
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信