{"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}
引用次数: 0
Abstract
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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