{"title":"具有Cheeger-Gromoll度量的共框束的微分几何","authors":"Habil Fattayev","doi":"10.36890/iejg.1071782","DOIUrl":null,"url":null,"abstract":"In this paper we introduce the Cheeger-Gromoll type metric on the coframe bundle of a\nRiemannian manifold and investigate the Levi-Civita connection, curvature tensor, sectional\ncurvature and geodesics of coframe bundle with this metric.","PeriodicalId":43768,"journal":{"name":"International Electronic Journal of Geometry","volume":" ","pages":""},"PeriodicalIF":0.4000,"publicationDate":"2022-10-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On the Differential Geometry of Coframe Bundle with Cheeger-Gromoll Metric\",\"authors\":\"Habil Fattayev\",\"doi\":\"10.36890/iejg.1071782\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper we introduce the Cheeger-Gromoll type metric on the coframe bundle of a\\nRiemannian manifold and investigate the Levi-Civita connection, curvature tensor, sectional\\ncurvature and geodesics of coframe bundle with this metric.\",\"PeriodicalId\":43768,\"journal\":{\"name\":\"International Electronic Journal of Geometry\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.4000,\"publicationDate\":\"2022-10-17\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Electronic Journal of Geometry\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.36890/iejg.1071782\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Electronic Journal of Geometry","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.36890/iejg.1071782","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
On the Differential Geometry of Coframe Bundle with Cheeger-Gromoll Metric
In this paper we introduce the Cheeger-Gromoll type metric on the coframe bundle of a
Riemannian manifold and investigate the Levi-Civita connection, curvature tensor, sectional
curvature and geodesics of coframe bundle with this metric.
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