{"title":"在正曲率流形上","authors":"Jasurbek Aslonov","doi":"10.56017/2181-1318.1007","DOIUrl":null,"url":null,"abstract":"In this paper invariant metrics on Lie group G = S3 ×R are studied and it is found lower and upper bounds for the sectional curvature’s of the manifold G = S3 ×R.","PeriodicalId":127023,"journal":{"name":"Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences","volume":"60 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2018-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On the manifolds of positive curvature\",\"authors\":\"Jasurbek Aslonov\",\"doi\":\"10.56017/2181-1318.1007\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper invariant metrics on Lie group G = S3 ×R are studied and it is found lower and upper bounds for the sectional curvature’s of the manifold G = S3 ×R.\",\"PeriodicalId\":127023,\"journal\":{\"name\":\"Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences\",\"volume\":\"60 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-03-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.56017/2181-1318.1007\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.56017/2181-1318.1007","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
In this paper invariant metrics on Lie group G = S3 ×R are studied and it is found lower and upper bounds for the sectional curvature’s of the manifold G = S3 ×R.