{"title":"保形平面流形的单位切球丛","authors":"Jong Taek Cho, S. Chun","doi":"10.2996/kmj44205","DOIUrl":null,"url":null,"abstract":"In this paper, we characterize conformally flat Riemannian manifolds with constant scalar curvature by the standard contact metric structure of their unit tangent sphere bundles.","PeriodicalId":54747,"journal":{"name":"Kodai Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.4000,"publicationDate":"2021-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Unit tangent sphere bundles of conformally flat manifolds\",\"authors\":\"Jong Taek Cho, S. Chun\",\"doi\":\"10.2996/kmj44205\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we characterize conformally flat Riemannian manifolds with constant scalar curvature by the standard contact metric structure of their unit tangent sphere bundles.\",\"PeriodicalId\":54747,\"journal\":{\"name\":\"Kodai Mathematical Journal\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.4000,\"publicationDate\":\"2021-06-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Kodai Mathematical Journal\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.2996/kmj44205\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Kodai Mathematical Journal","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.2996/kmj44205","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
Unit tangent sphere bundles of conformally flat manifolds
In this paper, we characterize conformally flat Riemannian manifolds with constant scalar curvature by the standard contact metric structure of their unit tangent sphere bundles.
期刊介绍:
Kodai Mathematical Journal is edited by the Department of Mathematics, Tokyo Institute of Technology. The journal was issued from 1949 until 1977 as Kodai Mathematical Seminar Reports, and was renewed in 1978 under the present name. The journal is published three times yearly and includes original papers in mathematics.