B. Tiwari, Ranadip Gangopadhyay, G. K. Prajapati, Manoj Kumar
{"title":"On Spherically Symmetric Landsberg Metrics","authors":"B. Tiwari, Ranadip Gangopadhyay, G. K. Prajapati, Manoj Kumar","doi":"10.1080/1726037X.2018.1551718","DOIUrl":null,"url":null,"abstract":"ABSTRACT In this paper, we have studied spherically symmetric Landsberg metrics with isotropic E-curvature and isotropic S-curvature. In the first case we have shown that the metric reduces to a Berwald metric and therefore, it is of vanishing E-curvature. In the second case we have completely classified the spherically symmetric Landsberg metric with isotropic S-curvature.","PeriodicalId":42788,"journal":{"name":"Journal of Dynamical Systems and Geometric Theories","volume":"17 1","pages":"71 - 81"},"PeriodicalIF":0.4000,"publicationDate":"2019-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/1726037X.2018.1551718","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Dynamical Systems and Geometric Theories","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/1726037X.2018.1551718","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: 1
Abstract
ABSTRACT In this paper, we have studied spherically symmetric Landsberg metrics with isotropic E-curvature and isotropic S-curvature. In the first case we have shown that the metric reduces to a Berwald metric and therefore, it is of vanishing E-curvature. In the second case we have completely classified the spherically symmetric Landsberg metric with isotropic S-curvature.
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